Abstract group data - 1728.8372

Formats: - HTML - YAML - JSON - 2025-10-24T02:21:24.566650

• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '96.176', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 36, 'aut_gen_orders': [18, 6, 6, 12, 36, 36, 12], 'aut_gens': [[1, 2, 36], [881, 890, 828], [21, 874, 828], [13, 2, 1476], [1331, 22, 270], [435, 14, 54], [443, 866, 1278], [447, 886, 270]], 'aut_group': None, 'aut_hash': 615940292106638721, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 6912, 'aut_permdeg': 54, 'aut_perms': [195984168659305446005715886751977836172229512910482872731098756401280437, 195987272722494149671436817098703726093843577169253889172526367868824891, 38365646307389935481726415206356491716776688250233017293405093159269672, 52406211347826355637357831720351522320678469499337633939158251662243258, 130458499574860196635224165571681398291461696812557923412282171323711428, 117572024614499079523566575609824324339273857409594278443490450608368947, 22254005389346660065755350868209838527296596046677792449498086663812388], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 18, 2, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 18, 2, 1], [6, 1, 2, 1], [6, 2, 1, 1], [6, 2, 2, 2], [6, 4, 1, 1], [6, 4, 2, 1], [6, 18, 4, 1], [8, 1, 4, 1], [8, 2, 2, 1], [8, 18, 4, 1], [9, 2, 3, 1], [9, 2, 6, 1], [12, 1, 4, 1], [12, 2, 2, 2], [12, 2, 4, 1], [12, 4, 1, 1], [12, 4, 2, 1], [12, 18, 4, 1], [16, 2, 8, 1], [16, 9, 8, 1], [16, 18, 4, 1], [18, 2, 3, 1], [18, 2, 6, 1], [18, 4, 3, 1], [18, 4, 6, 1], [24, 1, 8, 1], [24, 2, 4, 2], [24, 2, 8, 1], [24, 4, 2, 1], [24, 4, 4, 1], [24, 18, 8, 1], [36, 2, 6, 1], [36, 2, 12, 1], [36, 4, 3, 1], [36, 4, 6, 1], [48, 2, 16, 1], [48, 4, 8, 1], [48, 4, 16, 1], [48, 9, 16, 1], [48, 18, 8, 1], [72, 2, 12, 1], [72, 2, 24, 1], [72, 4, 6, 1], [72, 4, 12, 1], [144, 4, 24, 1], [144, 4, 48, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{18}.(C_2^4\\times C_{12}).C_2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '64.260', 'autcent_hash': 260, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 18, 'autcentquo_group': '108.26', 'autcentquo_hash': 26, 'autcentquo_nilpotent': False, 'autcentquo_order': 108, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_{18}:C_6', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 18, 2], [3, 1, 2], [3, 2, 3], [4, 1, 2], [4, 2, 1], [4, 18, 2], [6, 1, 2], [6, 2, 5], [6, 4, 3], [6, 18, 4], [8, 1, 4], [8, 2, 2], [8, 18, 4], [9, 2, 9], [12, 1, 4], [12, 2, 8], [12, 4, 3], [12, 18, 4], [16, 2, 8], [16, 9, 8], [16, 18, 4], [18, 2, 9], [18, 4, 9], [24, 1, 8], [24, 2, 16], [24, 4, 6], [24, 18, 8], [36, 2, 18], [36, 4, 9], [48, 2, 16], [48, 4, 24], [48, 9, 16], [48, 18, 8], [72, 2, 36], [72, 4, 18], [144, 4, 72]], 'center_label': '24.2', 'center_order': 24, 'central_product': True, 'central_quotient': '72.17', 'commutator_count': 1, 'commutator_label': '18.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 8372, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['576.469', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 18, 1, 2], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 18, 1, 2], [6, 1, 2, 1], [6, 2, 1, 1], [6, 2, 2, 2], [6, 4, 1, 1], [6, 4, 2, 1], [6, 18, 2, 2], [8, 1, 4, 1], [8, 2, 2, 1], [8, 18, 2, 2], [9, 2, 3, 1], [9, 2, 6, 1], [12, 1, 4, 1], [12, 2, 2, 2], [12, 2, 4, 1], [12, 4, 1, 1], [12, 4, 2, 1], [12, 18, 2, 2], [16, 2, 4, 2], [16, 9, 8, 1], [16, 18, 4, 1], [18, 2, 3, 1], [18, 2, 6, 1], [18, 4, 3, 1], [18, 4, 6, 1], [24, 1, 8, 1], [24, 2, 4, 2], [24, 2, 8, 1], [24, 4, 2, 1], [24, 4, 4, 1], [24, 18, 4, 2], [36, 2, 6, 1], [36, 2, 12, 1], [36, 4, 3, 1], [36, 4, 6, 1], [48, 2, 8, 2], [48, 4, 4, 2], [48, 4, 8, 2], [48, 9, 16, 1], [48, 18, 8, 1], [72, 2, 12, 1], [72, 2, 24, 1], [72, 4, 6, 1], [72, 4, 12, 1], [144, 4, 12, 2], [144, 4, 24, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 209664, 'exponent': 144, 'exponents_of_order': [6, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 24]], 'familial': False, 'frattini_label': '24.2', 'frattini_quotient': '72.48', 'hash': 8372, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [2, 18, 2], 'inner_gens': [[1, 898, 36], [869, 2, 900], [1, 866, 36]], 'inner_hash': 17, 'inner_nilpotent': False, 'inner_order': 72, 'inner_split': True, 'inner_tex': 'C_2\\times D_{18}', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 96, 'irrQ_dim': 96, 'irrR_degree': 8, 'irrep_stats': [[1, 96], [2, 216], [4, 48]], 'label': '1728.8372', 'linC_count': 3096, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 24, 'linQ_degree_count': 64, 'linQ_dim': 24, 'linQ_dim_count': 32, 'linR_count': 96, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C48.D18', 'ngens': 9, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 58, 'number_characteristic_subgroups': 78, 'number_conjugacy_classes': 360, 'number_divisions': 70, 'number_normal_subgroups': 126, 'number_subgroup_autclasses': 210, 'number_subgroup_classes': 278, 'number_subgroups': 946, 'old_label': None, 'order': 1728, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 39], [3, 8], [4, 40], [6, 96], [8, 80], [9, 18], [12, 104], [16, 160], [18, 54], [24, 208], [36, 72], [48, 416], [72, 144], [144, 288]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 2, 12], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[1315, 866, 1350], [1, 2, 612], [1, 2, 1116], [1, 22, 1332]], 'outer_group': '96.220', 'outer_hash': 220, 'outer_nilpotent': True, 'outer_order': 96, 'outer_permdeg': 13, 'outer_perms': [3628800, 479001600, 40320, 42027], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3\\times C_{12}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 44, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 8, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 16], [4, 14], [6, 4], [8, 8], [12, 6], [16, 4], [24, 4], [32, 2], [48, 3], [96, 1]], 'representations': {'PC': {'code': 4983765386067907000798466069125418517047274593, 'gens': [1, 2, 5], 'pres': [9, -2, -2, -3, -3, -2, -2, -2, -2, -3, 16165, 46, 866, 101, 867, 20263, 130, 158, 186, 214]}, 'Perm': {'d': 44, 'gens': [60519802266326946225259354809269451613849905695356800, 129269725253673982508418103211444292208037580248140800, 191384582786014718463648402793473272448910306853683200, 3, 253245506020153423038557514401310380595138827621990400, 305164842381510278683471681063692894284211892295270400, 375516343154743529094463148776633529034252763167052800, 51894240, 95943600]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 24], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{48}.D_{18}', 'transitive_degree': 288, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 132691861
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 8372, 'group_order': 1728, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 132691972
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 8372, 'group_order': 1728, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 864, 'size': 1}
  • id: 132692083
    {'aut_label': '2B', 'centralizer': '2.c1.a1', 'counter': 3, 'group_counter': 8372, 'group_order': 1728, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 18, 'size': 2}
  • id: 132692155
    {'aut_label': '2C', 'centralizer': '18.h1.a1', 'counter': 4, 'group_counter': 8372, 'group_order': 1728, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 1, 'size': 18}
  • id: 132692166
    {'aut_label': '2C', 'centralizer': '18.h1.b1', 'counter': 5, 'group_counter': 8372, 'group_order': 1728, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 1299, 'size': 18}
  • id: 132692177
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 8372, 'group_order': 1728, 'label': '3A1', 'order': 3, 'powers': [7, 1], 'representative': 1152, 'size': 1}
  • id: 132692188
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 8372, 'group_order': 1728, 'label': '3A-1', 'order': 3, 'powers': [6, 1], 'representative': 576, 'size': 1}
  • id: 132692199
    {'aut_label': '3B', 'centralizer': '2.b1.a1', 'counter': 8, 'group_counter': 8372, 'group_order': 1728, 'label': '3B', 'order': 3, 'powers': [8, 1], 'representative': 12, 'size': 2}
  • id: 132692210
    {'aut_label': '3C1', 'centralizer': '2.b1.a1', 'counter': 9, 'group_counter': 8372, 'group_order': 1728, 'label': '3C1', 'order': 3, 'powers': [10, 1], 'representative': 1164, 'size': 2}
  • id: 132691862
    {'aut_label': '3C1', 'centralizer': '2.b1.a1', 'counter': 10, 'group_counter': 8372, 'group_order': 1728, 'label': '3C-1', 'order': 3, 'powers': [9, 1], 'representative': 600, 'size': 2}
  • id: 132691873
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 8372, 'group_order': 1728, 'label': '4A1', 'order': 4, 'powers': [2, 12], 'representative': 432, 'size': 1}
  • id: 132691884
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 8372, 'group_order': 1728, 'label': '4A-1', 'order': 4, 'powers': [2, 11], 'representative': 1296, 'size': 1}
  • id: 132691895
    {'aut_label': '4B', 'centralizer': '2.c1.a1', 'counter': 13, 'group_counter': 8372, 'group_order': 1728, 'label': '4B', 'order': 4, 'powers': [2, 13], 'representative': 450, 'size': 2}
  • id: 132691906
    {'aut_label': '4C', 'centralizer': '18.h1.a1', 'counter': 14, 'group_counter': 8372, 'group_order': 1728, 'label': '4C', 'order': 4, 'powers': [2, 14], 'representative': 433, 'size': 18}
  • id: 132691917
    {'aut_label': '4C', 'centralizer': '18.h1.b1', 'counter': 15, 'group_counter': 8372, 'group_order': 1728, 'label': '4D', 'order': 4, 'powers': [2, 15], 'representative': 867, 'size': 18}
  • id: 132691928
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 8372, 'group_order': 1728, 'label': '6A1', 'order': 6, 'powers': [7, 2], 'representative': 288, 'size': 1}
  • id: 132691939
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 8372, 'group_order': 1728, 'label': '6A-1', 'order': 6, 'powers': [6, 2], 'representative': 1440, 'size': 1}
  • id: 132691950
    {'aut_label': '6B', 'centralizer': '2.b1.a1', 'counter': 18, 'group_counter': 8372, 'group_order': 1728, 'label': '6B', 'order': 6, 'powers': [8, 2], 'representative': 876, 'size': 2}
  • id: 132691961
    {'aut_label': '6C1', 'centralizer': '2.c1.a1', 'counter': 19, 'group_counter': 8372, 'group_order': 1728, 'label': '6C1', 'order': 6, 'powers': [6, 3], 'representative': 594, 'size': 2}
  • id: 132691973
    {'aut_label': '6C1', 'centralizer': '2.c1.a1', 'counter': 20, 'group_counter': 8372, 'group_order': 1728, 'label': '6C-1', 'order': 6, 'powers': [7, 3], 'representative': 306, 'size': 2}
  • id: 132691984
    {'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 21, 'group_counter': 8372, 'group_order': 1728, 'label': '6D1', 'order': 6, 'powers': [10, 2], 'representative': 300, 'size': 2}
  • id: 132691995
    {'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 22, 'group_counter': 8372, 'group_order': 1728, 'label': '6D-1', 'order': 6, 'powers': [9, 2], 'representative': 1464, 'size': 2}
  • id: 132692006
    {'aut_label': '6E', 'centralizer': '4.b1.a1', 'counter': 23, 'group_counter': 8372, 'group_order': 1728, 'label': '6E', 'order': 6, 'powers': [8, 3], 'representative': 6, 'size': 4}
  • id: 132692017
    {'aut_label': '6F1', 'centralizer': '4.b1.a1', 'counter': 24, 'group_counter': 8372, 'group_order': 1728, 'label': '6F1', 'order': 6, 'powers': [9, 3], 'representative': 582, 'size': 4}
  • id: 132692028
    {'aut_label': '6F1', 'centralizer': '4.b1.a1', 'counter': 25, 'group_counter': 8372, 'group_order': 1728, 'label': '6F-1', 'order': 6, 'powers': [10, 3], 'representative': 294, 'size': 4}
  • id: 132692039
    {'aut_label': '6G1', 'centralizer': '18.h1.a1', 'counter': 26, 'group_counter': 8372, 'group_order': 1728, 'label': '6G1', 'order': 6, 'powers': [6, 4], 'representative': 577, 'size': 18}
  • id: 132692050
    {'aut_label': '6G1', 'centralizer': '18.h1.a1', 'counter': 27, 'group_counter': 8372, 'group_order': 1728, 'label': '6G-1', 'order': 6, 'powers': [7, 4], 'representative': 289, 'size': 18}
  • id: 132692061
    {'aut_label': '6G1', 'centralizer': '18.h1.b1', 'counter': 28, 'group_counter': 8372, 'group_order': 1728, 'label': '6H1', 'order': 6, 'powers': [6, 5], 'representative': 147, 'size': 18}
  • id: 132692072
    {'aut_label': '6G1', 'centralizer': '18.h1.b1', 'counter': 29, 'group_counter': 8372, 'group_order': 1728, 'label': '6H-1', 'order': 6, 'powers': [7, 5], 'representative': 723, 'size': 18}
  • id: 132692084
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 8372, 'group_order': 1728, 'label': '8A1', 'order': 8, 'powers': [11, 32], 'representative': 216, 'size': 1}
  • id: 132692095
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 8372, 'group_order': 1728, 'label': '8A-1', 'order': 8, 'powers': [12, 33], 'representative': 1512, 'size': 1}
  • id: 132692106
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 8372, 'group_order': 1728, 'label': '8A3', 'order': 8, 'powers': [12, 30], 'representative': 648, 'size': 1}
  • id: 132692117
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 8372, 'group_order': 1728, 'label': '8A-3', 'order': 8, 'powers': [11, 31], 'representative': 1080, 'size': 1}
  • id: 132692128
    {'aut_label': '8B1', 'centralizer': '2.c1.a1', 'counter': 34, 'group_counter': 8372, 'group_order': 1728, 'label': '8B1', 'order': 8, 'powers': [11, 35], 'representative': 234, 'size': 2}
  • id: 132692139
    {'aut_label': '8B1', 'centralizer': '2.c1.a1', 'counter': 35, 'group_counter': 8372, 'group_order': 1728, 'label': '8B-1', 'order': 8, 'powers': [12, 34], 'representative': 1530, 'size': 2}
  • id: 132692150
    {'aut_label': '8C1', 'centralizer': '18.h1.a1', 'counter': 36, 'group_counter': 8372, 'group_order': 1728, 'label': '8C1', 'order': 8, 'powers': [11, 37], 'representative': 217, 'size': 18}
  • id: 132692152
    {'aut_label': '8C1', 'centralizer': '18.h1.a1', 'counter': 37, 'group_counter': 8372, 'group_order': 1728, 'label': '8C-1', 'order': 8, 'powers': [12, 36], 'representative': 1513, 'size': 18}
  • id: 132692153
    {'aut_label': '8C1', 'centralizer': '18.h1.b1', 'counter': 38, 'group_counter': 8372, 'group_order': 1728, 'label': '8D1', 'order': 8, 'powers': [12, 39], 'representative': 1083, 'size': 18}
  • id: 132692154
    {'aut_label': '8C1', 'centralizer': '18.h1.b1', 'counter': 39, 'group_counter': 8372, 'group_order': 1728, 'label': '8D-1', 'order': 8, 'powers': [11, 38], 'representative': 1515, 'size': 18}
  • id: 132692156
    {'aut_label': '9A1', 'centralizer': '2.b1.a1', 'counter': 40, 'group_counter': 8372, 'group_order': 1728, 'label': '9A1', 'order': 9, 'powers': [41, 8], 'representative': 4, 'size': 2}
  • id: 132692157
    {'aut_label': '9A1', 'centralizer': '2.b1.a1', 'counter': 41, 'group_counter': 8372, 'group_order': 1728, 'label': '9A2', 'order': 9, 'powers': [42, 8], 'representative': 8, 'size': 2}
  • id: 132692158
    {'aut_label': '9A1', 'centralizer': '2.b1.a1', 'counter': 42, 'group_counter': 8372, 'group_order': 1728, 'label': '9A4', 'order': 9, 'powers': [40, 8], 'representative': 16, 'size': 2}
  • id: 132692159
    {'aut_label': '9B1', 'centralizer': '2.b1.a1', 'counter': 43, 'group_counter': 8372, 'group_order': 1728, 'label': '9B1', 'order': 9, 'powers': [45, 8], 'representative': 1156, 'size': 2}
  • id: 132692160
    {'aut_label': '9B1', 'centralizer': '2.b1.a1', 'counter': 44, 'group_counter': 8372, 'group_order': 1728, 'label': '9B-1', 'order': 9, 'powers': [46, 8], 'representative': 608, 'size': 2}
  • id: 132692161
    {'aut_label': '9B1', 'centralizer': '2.b1.a1', 'counter': 45, 'group_counter': 8372, 'group_order': 1728, 'label': '9B2', 'order': 9, 'powers': [47, 8], 'representative': 584, 'size': 2}
  • id: 132692162
    {'aut_label': '9B1', 'centralizer': '2.b1.a1', 'counter': 46, 'group_counter': 8372, 'group_order': 1728, 'label': '9B-2', 'order': 9, 'powers': [48, 8], 'representative': 1180, 'size': 2}
  • id: 132692163
    {'aut_label': '9B1', 'centralizer': '2.b1.a1', 'counter': 47, 'group_counter': 8372, 'group_order': 1728, 'label': '9B4', 'order': 9, 'powers': [44, 8], 'representative': 1168, 'size': 2}
  • id: 132692164
    {'aut_label': '9B1', 'centralizer': '2.b1.a1', 'counter': 48, 'group_counter': 8372, 'group_order': 1728, 'label': '9B-4', 'order': 9, 'powers': [43, 8], 'representative': 596, 'size': 2}
  • id: 132692165
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 8372, 'group_order': 1728, 'label': '12A1', 'order': 12, 'powers': [16, 11], 'representative': 144, 'size': 1}
  • id: 132692167
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 8372, 'group_order': 1728, 'label': '12A-1', 'order': 12, 'powers': [17, 12], 'representative': 1584, 'size': 1}
  • id: 132692168
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 8372, 'group_order': 1728, 'label': '12A5', 'order': 12, 'powers': [17, 11], 'representative': 720, 'size': 1}
  • id: 132692169
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 8372, 'group_order': 1728, 'label': '12A-5', 'order': 12, 'powers': [16, 12], 'representative': 1008, 'size': 1}
  • id: 132692170
    {'aut_label': '12B1', 'centralizer': '2.c1.a1', 'counter': 53, 'group_counter': 8372, 'group_order': 1728, 'label': '12B1', 'order': 12, 'powers': [16, 13], 'representative': 162, 'size': 2}
  • id: 132692171
    {'aut_label': '12B1', 'centralizer': '2.c1.a1', 'counter': 54, 'group_counter': 8372, 'group_order': 1728, 'label': '12B-1', 'order': 12, 'powers': [17, 13], 'representative': 738, 'size': 2}
  • id: 132692172
    {'aut_label': '12C1', 'centralizer': '2.b1.a1', 'counter': 55, 'group_counter': 8372, 'group_order': 1728, 'label': '12C1', 'order': 12, 'powers': [18, 12], 'representative': 444, 'size': 2}
  • id: 132692173
    {'aut_label': '12C1', 'centralizer': '2.b1.a1', 'counter': 56, 'group_counter': 8372, 'group_order': 1728, 'label': '12C-1', 'order': 12, 'powers': [18, 11], 'representative': 1320, 'size': 2}
  • id: 132692174
    {'aut_label': '12D1', 'centralizer': '2.b1.a1', 'counter': 57, 'group_counter': 8372, 'group_order': 1728, 'label': '12D1', 'order': 12, 'powers': [21, 11], 'representative': 156, 'size': 2}
  • id: 132692175
    {'aut_label': '12D1', 'centralizer': '2.b1.a1', 'counter': 58, 'group_counter': 8372, 'group_order': 1728, 'label': '12D-1', 'order': 12, 'powers': [22, 12], 'representative': 1608, 'size': 2}
  • id: 132692176
    {'aut_label': '12D1', 'centralizer': '2.b1.a1', 'counter': 59, 'group_counter': 8372, 'group_order': 1728, 'label': '12D5', 'order': 12, 'powers': [22, 11], 'representative': 744, 'size': 2}
  • id: 132692178
    {'aut_label': '12D1', 'centralizer': '2.b1.a1', 'counter': 60, 'group_counter': 8372, 'group_order': 1728, 'label': '12D-5', 'order': 12, 'powers': [21, 12], 'representative': 1020, 'size': 2}
  • id: 132692179
    {'aut_label': '12E', 'centralizer': '4.b1.a1', 'counter': 61, 'group_counter': 8372, 'group_order': 1728, 'label': '12E', 'order': 12, 'powers': [18, 13], 'representative': 1302, 'size': 4}
  • id: 132692180
    {'aut_label': '12F1', 'centralizer': '4.b1.a1', 'counter': 62, 'group_counter': 8372, 'group_order': 1728, 'label': '12F1', 'order': 12, 'powers': [21, 13], 'representative': 150, 'size': 4}
  • id: 132692181
    {'aut_label': '12F1', 'centralizer': '4.b1.a1', 'counter': 63, 'group_counter': 8372, 'group_order': 1728, 'label': '12F-1', 'order': 12, 'powers': [22, 13], 'representative': 726, 'size': 4}
  • id: 132692182
    {'aut_label': '12G1', 'centralizer': '18.h1.a1', 'counter': 64, 'group_counter': 8372, 'group_order': 1728, 'label': '12G1', 'order': 12, 'powers': [16, 14], 'representative': 145, 'size': 18}
  • id: 132692183
    {'aut_label': '12G1', 'centralizer': '18.h1.a1', 'counter': 65, 'group_counter': 8372, 'group_order': 1728, 'label': '12G-1', 'order': 12, 'powers': [17, 14], 'representative': 721, 'size': 18}
  • id: 132692184
    {'aut_label': '12G1', 'centralizer': '18.h1.b1', 'counter': 66, 'group_counter': 8372, 'group_order': 1728, 'label': '12H1', 'order': 12, 'powers': [16, 15], 'representative': 579, 'size': 18}
  • id: 132692185
    {'aut_label': '12G1', 'centralizer': '18.h1.b1', 'counter': 67, 'group_counter': 8372, 'group_order': 1728, 'label': '12H-1', 'order': 12, 'powers': [17, 15], 'representative': 291, 'size': 18}
  • id: 132692186
    {'aut_label': '16A1', 'centralizer': '2.d1.a1', 'counter': 68, 'group_counter': 8372, 'group_order': 1728, 'label': '16A1', 'order': 16, 'powers': [30, 70], 'representative': 108, 'size': 2}
  • id: 132692187
    {'aut_label': '16A1', 'centralizer': '2.d1.a1', 'counter': 69, 'group_counter': 8372, 'group_order': 1728, 'label': '16A-1', 'order': 16, 'powers': [31, 71], 'representative': 1620, 'size': 2}
  • id: 132692189
    {'aut_label': '16A1', 'centralizer': '2.d1.a1', 'counter': 70, 'group_counter': 8372, 'group_order': 1728, 'label': '16A3', 'order': 16, 'powers': [32, 68], 'representative': 324, 'size': 2}
  • id: 132692190
    {'aut_label': '16A1', 'centralizer': '2.d1.a1', 'counter': 71, 'group_counter': 8372, 'group_order': 1728, 'label': '16A-3', 'order': 16, 'powers': [33, 69], 'representative': 1404, 'size': 2}
  • id: 132692191
    {'aut_label': '16A1', 'centralizer': '2.d1.b1', 'counter': 72, 'group_counter': 8372, 'group_order': 1728, 'label': '16B1', 'order': 16, 'powers': [33, 74], 'representative': 990, 'size': 2}
  • id: 132692192
    {'aut_label': '16A1', 'centralizer': '2.d1.b1', 'counter': 73, 'group_counter': 8372, 'group_order': 1728, 'label': '16B-1', 'order': 16, 'powers': [32, 75], 'representative': 1638, 'size': 2}
  • id: 132692193
    {'aut_label': '16A1', 'centralizer': '2.d1.b1', 'counter': 74, 'group_counter': 8372, 'group_order': 1728, 'label': '16B3', 'order': 16, 'powers': [31, 72], 'representative': 342, 'size': 2}
  • id: 132692194
    {'aut_label': '16A1', 'centralizer': '2.d1.b1', 'counter': 75, 'group_counter': 8372, 'group_order': 1728, 'label': '16B-3', 'order': 16, 'powers': [30, 73], 'representative': 558, 'size': 2}
  • id: 132692195
    {'aut_label': '16C1', 'centralizer': '9.a1.a1', 'counter': 76, 'group_counter': 8372, 'group_order': 1728, 'label': '16C1', 'order': 16, 'powers': [30, 78], 'representative': 109, 'size': 9}
  • id: 132692196
    {'aut_label': '16C1', 'centralizer': '9.a1.a1', 'counter': 77, 'group_counter': 8372, 'group_order': 1728, 'label': '16C-1', 'order': 16, 'powers': [31, 79], 'representative': 1621, 'size': 9}
  • id: 132692197
    {'aut_label': '16C1', 'centralizer': '9.a1.a1', 'counter': 78, 'group_counter': 8372, 'group_order': 1728, 'label': '16C3', 'order': 16, 'powers': [32, 83], 'representative': 325, 'size': 9}
  • id: 132692198
    {'aut_label': '16C1', 'centralizer': '9.a1.a1', 'counter': 79, 'group_counter': 8372, 'group_order': 1728, 'label': '16C-3', 'order': 16, 'powers': [33, 82], 'representative': 1405, 'size': 9}
  • id: 132692200
    {'aut_label': '16C1', 'centralizer': '9.a1.a1', 'counter': 80, 'group_counter': 8372, 'group_order': 1728, 'label': '16C5', 'order': 16, 'powers': [33, 77], 'representative': 541, 'size': 9}
  • id: 132692201
    {'aut_label': '16C1', 'centralizer': '9.a1.a1', 'counter': 81, 'group_counter': 8372, 'group_order': 1728, 'label': '16C-5', 'order': 16, 'powers': [32, 76], 'representative': 1189, 'size': 9}
  • id: 132692202
    {'aut_label': '16C1', 'centralizer': '9.a1.a1', 'counter': 82, 'group_counter': 8372, 'group_order': 1728, 'label': '16C7', 'order': 16, 'powers': [31, 80], 'representative': 757, 'size': 9}
  • id: 132692203
    {'aut_label': '16C1', 'centralizer': '9.a1.a1', 'counter': 83, 'group_counter': 8372, 'group_order': 1728, 'label': '16C-7', 'order': 16, 'powers': [30, 81], 'representative': 973, 'size': 9}
  • id: 132692204
    {'aut_label': '16D1', 'centralizer': '18.e1.a1', 'counter': 84, 'group_counter': 8372, 'group_order': 1728, 'label': '16D1', 'order': 16, 'powers': [30, 86], 'representative': 111, 'size': 18}
  • id: 132692205
    {'aut_label': '16D1', 'centralizer': '18.e1.a1', 'counter': 85, 'group_counter': 8372, 'group_order': 1728, 'label': '16D-1', 'order': 16, 'powers': [31, 87], 'representative': 1623, 'size': 18}
  • id: 132692206
    {'aut_label': '16D1', 'centralizer': '18.e1.a1', 'counter': 86, 'group_counter': 8372, 'group_order': 1728, 'label': '16D3', 'order': 16, 'powers': [32, 84], 'representative': 327, 'size': 18}
  • id: 132692207
    {'aut_label': '16D1', 'centralizer': '18.e1.a1', 'counter': 87, 'group_counter': 8372, 'group_order': 1728, 'label': '16D-3', 'order': 16, 'powers': [33, 85], 'representative': 1407, 'size': 18}
  • id: 132692208
    {'aut_label': '18A1', 'centralizer': '2.b1.a1', 'counter': 88, 'group_counter': 8372, 'group_order': 1728, 'label': '18A1', 'order': 18, 'powers': [41, 18], 'representative': 868, 'size': 2}
  • id: 132692209
    {'aut_label': '18A1', 'centralizer': '2.b1.a1', 'counter': 89, 'group_counter': 8372, 'group_order': 1728, 'label': '18A5', 'order': 18, 'powers': [40, 18], 'representative': 884, 'size': 2}
  • id: 132692211
    {'aut_label': '18A1', 'centralizer': '2.b1.a1', 'counter': 90, 'group_counter': 8372, 'group_order': 1728, 'label': '18A7', 'order': 18, 'powers': [42, 18], 'representative': 892, 'size': 2}
  • id: 132692212
    {'aut_label': '18B1', 'centralizer': '2.b1.a1', 'counter': 91, 'group_counter': 8372, 'group_order': 1728, 'label': '18B1', 'order': 18, 'powers': [45, 18], 'representative': 292, 'size': 2}
  • id: 132692213
    {'aut_label': '18B1', 'centralizer': '2.b1.a1', 'counter': 92, 'group_counter': 8372, 'group_order': 1728, 'label': '18B-1', 'order': 18, 'powers': [46, 18], 'representative': 1472, 'size': 2}
  • id: 132692214
    {'aut_label': '18B1', 'centralizer': '2.b1.a1', 'counter': 93, 'group_counter': 8372, 'group_order': 1728, 'label': '18B5', 'order': 18, 'powers': [43, 18], 'representative': 1460, 'size': 2}
  • id: 132692215
    {'aut_label': '18B1', 'centralizer': '2.b1.a1', 'counter': 94, 'group_counter': 8372, 'group_order': 1728, 'label': '18B-5', 'order': 18, 'powers': [44, 18], 'representative': 304, 'size': 2}
  • id: 132692216
    {'aut_label': '18B1', 'centralizer': '2.b1.a1', 'counter': 95, 'group_counter': 8372, 'group_order': 1728, 'label': '18B7', 'order': 18, 'powers': [48, 18], 'representative': 316, 'size': 2}
  • id: 132692217
    {'aut_label': '18B1', 'centralizer': '2.b1.a1', 'counter': 96, 'group_counter': 8372, 'group_order': 1728, 'label': '18B-7', 'order': 18, 'powers': [47, 18], 'representative': 1448, 'size': 2}
  • id: 132692218
    {'aut_label': '18C1', 'centralizer': '4.b1.a1', 'counter': 97, 'group_counter': 8372, 'group_order': 1728, 'label': '18C1', 'order': 18, 'powers': [40, 23], 'representative': 2, 'size': 4}
  • id: 132692219
    {'aut_label': '18C1', 'centralizer': '4.b1.a1', 'counter': 98, 'group_counter': 8372, 'group_order': 1728, 'label': '18C5', 'order': 18, 'powers': [42, 23], 'representative': 26, 'size': 4}
  • id: 132692220
    {'aut_label': '18C1', 'centralizer': '4.b1.a1', 'counter': 99, 'group_counter': 8372, 'group_order': 1728, 'label': '18C7', 'order': 18, 'powers': [41, 23], 'representative': 14, 'size': 4}
  • id: 132691863
    {'aut_label': '18D1', 'centralizer': '4.b1.a1', 'counter': 100, 'group_counter': 8372, 'group_order': 1728, 'label': '18D1', 'order': 18, 'powers': [43, 23], 'representative': 578, 'size': 4}
  • id: 132691864
    {'aut_label': '18D1', 'centralizer': '4.b1.a1', 'counter': 101, 'group_counter': 8372, 'group_order': 1728, 'label': '18D-1', 'order': 18, 'powers': [44, 23], 'representative': 290, 'size': 4}
  • id: 132691865
    {'aut_label': '18D1', 'centralizer': '4.b1.a1', 'counter': 102, 'group_counter': 8372, 'group_order': 1728, 'label': '18D5', 'order': 18, 'powers': [48, 23], 'representative': 314, 'size': 4}
  • id: 132691866
    {'aut_label': '18D1', 'centralizer': '4.b1.a1', 'counter': 103, 'group_counter': 8372, 'group_order': 1728, 'label': '18D-5', 'order': 18, 'powers': [47, 23], 'representative': 602, 'size': 4}
  • id: 132691867
    {'aut_label': '18D1', 'centralizer': '4.b1.a1', 'counter': 104, 'group_counter': 8372, 'group_order': 1728, 'label': '18D7', 'order': 18, 'powers': [46, 23], 'representative': 590, 'size': 4}
  • id: 132691868
    {'aut_label': '18D1', 'centralizer': '4.b1.a1', 'counter': 105, 'group_counter': 8372, 'group_order': 1728, 'label': '18D-7', 'order': 18, 'powers': [45, 23], 'representative': 302, 'size': 4}
  • id: 132691869
    {'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 106, 'group_counter': 8372, 'group_order': 1728, 'label': '24A1', 'order': 24, 'powers': [49, 30], 'representative': 72, 'size': 1}
  • id: 132691870
    {'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 107, 'group_counter': 8372, 'group_order': 1728, 'label': '24A-1', 'order': 24, 'powers': [50, 31], 'representative': 1656, 'size': 1}
  • id: 132691871
    {'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 108, 'group_counter': 8372, 'group_order': 1728, 'label': '24A5', 'order': 24, 'powers': [51, 33], 'representative': 360, 'size': 1}
  • id: 132691872
    {'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 109, 'group_counter': 8372, 'group_order': 1728, 'label': '24A-5', 'order': 24, 'powers': [52, 32], 'representative': 1368, 'size': 1}
  • id: 132691874
    {'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 110, 'group_counter': 8372, 'group_order': 1728, 'label': '24A7', 'order': 24, 'powers': [52, 31], 'representative': 504, 'size': 1}
  • id: 132691875
    {'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 111, 'group_counter': 8372, 'group_order': 1728, 'label': '24A-7', 'order': 24, 'powers': [51, 30], 'representative': 1224, 'size': 1}
  • id: 132691876
    {'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 112, 'group_counter': 8372, 'group_order': 1728, 'label': '24A11', 'order': 24, 'powers': [50, 32], 'representative': 792, 'size': 1}
  • id: 132691877
    {'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 113, 'group_counter': 8372, 'group_order': 1728, 'label': '24A-11', 'order': 24, 'powers': [49, 33], 'representative': 936, 'size': 1}
  • id: 132691878
    {'aut_label': '24B1', 'centralizer': '2.c1.a1', 'counter': 114, 'group_counter': 8372, 'group_order': 1728, 'label': '24B1', 'order': 24, 'powers': [49, 34], 'representative': 90, 'size': 2}
  • id: 132691879
    {'aut_label': '24B1', 'centralizer': '2.c1.a1', 'counter': 115, 'group_counter': 8372, 'group_order': 1728, 'label': '24B-1', 'order': 24, 'powers': [50, 35], 'representative': 810, 'size': 2}
  • id: 132691880
    {'aut_label': '24B1', 'centralizer': '2.c1.a1', 'counter': 116, 'group_counter': 8372, 'group_order': 1728, 'label': '24B5', 'order': 24, 'powers': [51, 34], 'representative': 378, 'size': 2}
  • id: 132691881
    {'aut_label': '24B1', 'centralizer': '2.c1.a1', 'counter': 117, 'group_counter': 8372, 'group_order': 1728, 'label': '24B-5', 'order': 24, 'powers': [52, 35], 'representative': 522, 'size': 2}
  • id: 132691882
    {'aut_label': '24C1', 'centralizer': '2.b1.a1', 'counter': 118, 'group_counter': 8372, 'group_order': 1728, 'label': '24C1', 'order': 24, 'powers': [55, 32], 'representative': 240, 'size': 2}
  • id: 132691883
    {'aut_label': '24C1', 'centralizer': '2.b1.a1', 'counter': 119, 'group_counter': 8372, 'group_order': 1728, 'label': '24C-1', 'order': 24, 'powers': [56, 33], 'representative': 1524, 'size': 2}
  • id: 132691885
    {'aut_label': '24C1', 'centralizer': '2.b1.a1', 'counter': 120, 'group_counter': 8372, 'group_order': 1728, 'label': '24C5', 'order': 24, 'powers': [55, 31], 'representative': 1092, 'size': 2}
  • id: 132691886
    {'aut_label': '24C1', 'centralizer': '2.b1.a1', 'counter': 121, 'group_counter': 8372, 'group_order': 1728, 'label': '24C-5', 'order': 24, 'powers': [56, 30], 'representative': 672, 'size': 2}
  • id: 132691887
    {'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 122, 'group_counter': 8372, 'group_order': 1728, 'label': '24D1', 'order': 24, 'powers': [57, 30], 'representative': 96, 'size': 2}
  • id: 132691888
    {'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 123, 'group_counter': 8372, 'group_order': 1728, 'label': '24D-1', 'order': 24, 'powers': [58, 31], 'representative': 1668, 'size': 2}
  • id: 132691889
    {'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 124, 'group_counter': 8372, 'group_order': 1728, 'label': '24D5', 'order': 24, 'powers': [59, 33], 'representative': 372, 'size': 2}
  • id: 132691890
    {'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 125, 'group_counter': 8372, 'group_order': 1728, 'label': '24D-5', 'order': 24, 'powers': [60, 32], 'representative': 1392, 'size': 2}
  • id: 132691891
    {'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 126, 'group_counter': 8372, 'group_order': 1728, 'label': '24D7', 'order': 24, 'powers': [60, 31], 'representative': 528, 'size': 2}
  • id: 132691892
    {'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 127, 'group_counter': 8372, 'group_order': 1728, 'label': '24D-7', 'order': 24, 'powers': [59, 30], 'representative': 1236, 'size': 2}
  • id: 132691893
    {'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 128, 'group_counter': 8372, 'group_order': 1728, 'label': '24D11', 'order': 24, 'powers': [58, 32], 'representative': 804, 'size': 2}
  • id: 132691894
    {'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 129, 'group_counter': 8372, 'group_order': 1728, 'label': '24D-11', 'order': 24, 'powers': [57, 33], 'representative': 960, 'size': 2}
  • id: 132691896
    {'aut_label': '24E1', 'centralizer': '4.b1.a1', 'counter': 130, 'group_counter': 8372, 'group_order': 1728, 'label': '24E1', 'order': 24, 'powers': [55, 35], 'representative': 222, 'size': 4}
  • id: 132691897
    {'aut_label': '24E1', 'centralizer': '4.b1.a1', 'counter': 131, 'group_counter': 8372, 'group_order': 1728, 'label': '24E-1', 'order': 24, 'powers': [56, 34], 'representative': 1542, 'size': 4}
  • id: 132691898
    {'aut_label': '24F1', 'centralizer': '4.b1.a1', 'counter': 132, 'group_counter': 8372, 'group_order': 1728, 'label': '24F1', 'order': 24, 'powers': [57, 34], 'representative': 78, 'size': 4}
  • id: 132691899
    {'aut_label': '24F1', 'centralizer': '4.b1.a1', 'counter': 133, 'group_counter': 8372, 'group_order': 1728, 'label': '24F-1', 'order': 24, 'powers': [58, 35], 'representative': 798, 'size': 4}
  • id: 132691900
    {'aut_label': '24F1', 'centralizer': '4.b1.a1', 'counter': 134, 'group_counter': 8372, 'group_order': 1728, 'label': '24F5', 'order': 24, 'powers': [59, 34], 'representative': 366, 'size': 4}
  • id: 132691901
    {'aut_label': '24F1', 'centralizer': '4.b1.a1', 'counter': 135, 'group_counter': 8372, 'group_order': 1728, 'label': '24F-5', 'order': 24, 'powers': [60, 35], 'representative': 510, 'size': 4}
  • id: 132691902
    {'aut_label': '24G1', 'centralizer': '18.h1.a1', 'counter': 136, 'group_counter': 8372, 'group_order': 1728, 'label': '24G1', 'order': 24, 'powers': [49, 36], 'representative': 73, 'size': 18}
  • id: 132691903
    {'aut_label': '24G1', 'centralizer': '18.h1.a1', 'counter': 137, 'group_counter': 8372, 'group_order': 1728, 'label': '24G-1', 'order': 24, 'powers': [50, 37], 'representative': 793, 'size': 18}
  • id: 132691904
    {'aut_label': '24G1', 'centralizer': '18.h1.a1', 'counter': 138, 'group_counter': 8372, 'group_order': 1728, 'label': '24G5', 'order': 24, 'powers': [51, 36], 'representative': 361, 'size': 18}
  • id: 132691905
    {'aut_label': '24G1', 'centralizer': '18.h1.a1', 'counter': 139, 'group_counter': 8372, 'group_order': 1728, 'label': '24G-5', 'order': 24, 'powers': [52, 37], 'representative': 505, 'size': 18}
  • id: 132691907
    {'aut_label': '24G1', 'centralizer': '18.h1.b1', 'counter': 140, 'group_counter': 8372, 'group_order': 1728, 'label': '24H1', 'order': 24, 'powers': [52, 38], 'representative': 75, 'size': 18}
  • id: 132691908
    {'aut_label': '24G1', 'centralizer': '18.h1.b1', 'counter': 141, 'group_counter': 8372, 'group_order': 1728, 'label': '24H-1', 'order': 24, 'powers': [51, 39], 'representative': 795, 'size': 18}
  • id: 132691909
    {'aut_label': '24G1', 'centralizer': '18.h1.b1', 'counter': 142, 'group_counter': 8372, 'group_order': 1728, 'label': '24H5', 'order': 24, 'powers': [50, 38], 'representative': 363, 'size': 18}
  • id: 132691910
    {'aut_label': '24G1', 'centralizer': '18.h1.b1', 'counter': 143, 'group_counter': 8372, 'group_order': 1728, 'label': '24H-5', 'order': 24, 'powers': [49, 39], 'representative': 507, 'size': 18}
  • id: 132691911
    {'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 144, 'group_counter': 8372, 'group_order': 1728, 'label': '36A1', 'order': 36, 'powers': [90, 55], 'representative': 1300, 'size': 2}
  • id: 132691912
    {'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 145, 'group_counter': 8372, 'group_order': 1728, 'label': '36A-1', 'order': 36, 'powers': [90, 56], 'representative': 464, 'size': 2}
  • id: 132691913
    {'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 146, 'group_counter': 8372, 'group_order': 1728, 'label': '36A5', 'order': 36, 'powers': [88, 55], 'representative': 1316, 'size': 2}
  • id: 132691914
    {'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 147, 'group_counter': 8372, 'group_order': 1728, 'label': '36A-5', 'order': 36, 'powers': [88, 56], 'representative': 448, 'size': 2}
  • id: 132691915
    {'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 148, 'group_counter': 8372, 'group_order': 1728, 'label': '36A7', 'order': 36, 'powers': [89, 56], 'representative': 460, 'size': 2}
  • id: 132691916
    {'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 149, 'group_counter': 8372, 'group_order': 1728, 'label': '36A-7', 'order': 36, 'powers': [89, 55], 'representative': 1304, 'size': 2}
  • id: 132691918
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 150, 'group_counter': 8372, 'group_order': 1728, 'label': '36B1', 'order': 36, 'powers': [95, 55], 'representative': 148, 'size': 2}
  • id: 132691919
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 151, 'group_counter': 8372, 'group_order': 1728, 'label': '36B-1', 'order': 36, 'powers': [96, 56], 'representative': 1616, 'size': 2}
  • id: 132691920
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 152, 'group_counter': 8372, 'group_order': 1728, 'label': '36B5', 'order': 36, 'powers': [92, 55], 'representative': 740, 'size': 2}
  • id: 132691921
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 153, 'group_counter': 8372, 'group_order': 1728, 'label': '36B-5', 'order': 36, 'powers': [91, 56], 'representative': 1024, 'size': 2}
  • id: 132691922
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 154, 'group_counter': 8372, 'group_order': 1728, 'label': '36B7', 'order': 36, 'powers': [94, 56], 'representative': 1036, 'size': 2}
  • id: 132691923
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 155, 'group_counter': 8372, 'group_order': 1728, 'label': '36B-7', 'order': 36, 'powers': [93, 55], 'representative': 728, 'size': 2}
  • id: 132691924
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 156, 'group_counter': 8372, 'group_order': 1728, 'label': '36B11', 'order': 36, 'powers': [93, 56], 'representative': 1592, 'size': 2}
  • id: 132691925
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 157, 'group_counter': 8372, 'group_order': 1728, 'label': '36B-11', 'order': 36, 'powers': [94, 55], 'representative': 172, 'size': 2}
  • id: 132691926
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 158, 'group_counter': 8372, 'group_order': 1728, 'label': '36B13', 'order': 36, 'powers': [91, 55], 'representative': 160, 'size': 2}
  • id: 132691927
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 159, 'group_counter': 8372, 'group_order': 1728, 'label': '36B-13', 'order': 36, 'powers': [92, 56], 'representative': 1604, 'size': 2}
  • id: 132691929
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 160, 'group_counter': 8372, 'group_order': 1728, 'label': '36B17', 'order': 36, 'powers': [96, 55], 'representative': 752, 'size': 2}
  • id: 132691930
    {'aut_label': '36B1', 'centralizer': '2.b1.a1', 'counter': 161, 'group_counter': 8372, 'group_order': 1728, 'label': '36B-17', 'order': 36, 'powers': [95, 56], 'representative': 1012, 'size': 2}
  • id: 132691931
    {'aut_label': '36C1', 'centralizer': '4.b1.a1', 'counter': 162, 'group_counter': 8372, 'group_order': 1728, 'label': '36C1', 'order': 36, 'powers': [88, 61], 'representative': 434, 'size': 4}
  • id: 132691932
    {'aut_label': '36C1', 'centralizer': '4.b1.a1', 'counter': 163, 'group_counter': 8372, 'group_order': 1728, 'label': '36C5', 'order': 36, 'powers': [89, 61], 'representative': 458, 'size': 4}
  • id: 132691933
    {'aut_label': '36C1', 'centralizer': '4.b1.a1', 'counter': 164, 'group_counter': 8372, 'group_order': 1728, 'label': '36C7', 'order': 36, 'powers': [90, 61], 'representative': 446, 'size': 4}
  • id: 132691934
    {'aut_label': '36D1', 'centralizer': '4.b1.a1', 'counter': 165, 'group_counter': 8372, 'group_order': 1728, 'label': '36D1', 'order': 36, 'powers': [91, 61], 'representative': 146, 'size': 4}
  • id: 132691935
    {'aut_label': '36D1', 'centralizer': '4.b1.a1', 'counter': 166, 'group_counter': 8372, 'group_order': 1728, 'label': '36D-1', 'order': 36, 'powers': [92, 61], 'representative': 722, 'size': 4}
  • id: 132691936
    {'aut_label': '36D1', 'centralizer': '4.b1.a1', 'counter': 167, 'group_counter': 8372, 'group_order': 1728, 'label': '36D5', 'order': 36, 'powers': [93, 61], 'representative': 746, 'size': 4}
  • id: 132691937
    {'aut_label': '36D1', 'centralizer': '4.b1.a1', 'counter': 168, 'group_counter': 8372, 'group_order': 1728, 'label': '36D-5', 'order': 36, 'powers': [94, 61], 'representative': 170, 'size': 4}
  • id: 132691938
    {'aut_label': '36D1', 'centralizer': '4.b1.a1', 'counter': 169, 'group_counter': 8372, 'group_order': 1728, 'label': '36D7', 'order': 36, 'powers': [95, 61], 'representative': 158, 'size': 4}
  • id: 132691940
    {'aut_label': '36D1', 'centralizer': '4.b1.a1', 'counter': 170, 'group_counter': 8372, 'group_order': 1728, 'label': '36D-7', 'order': 36, 'powers': [96, 61], 'representative': 734, 'size': 4}
  • id: 132691941
    {'aut_label': '48A1', 'centralizer': '2.d1.a1', 'counter': 171, 'group_counter': 8372, 'group_order': 1728, 'label': '48A1', 'order': 48, 'powers': [106, 68], 'representative': 36, 'size': 2}
  • id: 132691942
    {'aut_label': '48A1', 'centralizer': '2.d1.a1', 'counter': 172, 'group_counter': 8372, 'group_order': 1728, 'label': '48A-1', 'order': 48, 'powers': [107, 69], 'representative': 828, 'size': 2}
  • id: 132691943
    {'aut_label': '48A1', 'centralizer': '2.d1.a1', 'counter': 173, 'group_counter': 8372, 'group_order': 1728, 'label': '48A5', 'order': 48, 'powers': [108, 71], 'representative': 180, 'size': 2}
  • id: 132691944
    {'aut_label': '48A1', 'centralizer': '2.d1.a1', 'counter': 174, 'group_counter': 8372, 'group_order': 1728, 'label': '48A-5', 'order': 48, 'powers': [109, 70], 'representative': 684, 'size': 2}
  • id: 132691945
    {'aut_label': '48A1', 'centralizer': '2.d1.a1', 'counter': 175, 'group_counter': 8372, 'group_order': 1728, 'label': '48A7', 'order': 48, 'powers': [110, 69], 'representative': 252, 'size': 2}
  • id: 132691946
    {'aut_label': '48A1', 'centralizer': '2.d1.a1', 'counter': 176, 'group_counter': 8372, 'group_order': 1728, 'label': '48A-7', 'order': 48, 'powers': [111, 68], 'representative': 612, 'size': 2}
  • id: 132691947
    {'aut_label': '48A1', 'centralizer': '2.d1.a1', 'counter': 177, 'group_counter': 8372, 'group_order': 1728, 'label': '48A11', 'order': 48, 'powers': [112, 70], 'representative': 396, 'size': 2}
  • id: 132691948
    {'aut_label': '48A1', 'centralizer': '2.d1.a1', 'counter': 178, 'group_counter': 8372, 'group_order': 1728, 'label': '48A-11', 'order': 48, 'powers': [113, 71], 'representative': 468, 'size': 2}
  • id: 132691949
    {'aut_label': '48A1', 'centralizer': '2.d1.b1', 'counter': 179, 'group_counter': 8372, 'group_order': 1728, 'label': '48B1', 'order': 48, 'powers': [113, 72], 'representative': 54, 'size': 2}
  • id: 132691951
    {'aut_label': '48A1', 'centralizer': '2.d1.b1', 'counter': 180, 'group_counter': 8372, 'group_order': 1728, 'label': '48B-1', 'order': 48, 'powers': [112, 73], 'representative': 846, 'size': 2}
  • id: 132691952
    {'aut_label': '48A1', 'centralizer': '2.d1.b1', 'counter': 181, 'group_counter': 8372, 'group_order': 1728, 'label': '48B5', 'order': 48, 'powers': [111, 75], 'representative': 198, 'size': 2}
  • id: 132691953
    {'aut_label': '48A1', 'centralizer': '2.d1.b1', 'counter': 182, 'group_counter': 8372, 'group_order': 1728, 'label': '48B-5', 'order': 48, 'powers': [110, 74], 'representative': 702, 'size': 2}
  • id: 132691954
    {'aut_label': '48A1', 'centralizer': '2.d1.b1', 'counter': 183, 'group_counter': 8372, 'group_order': 1728, 'label': '48B7', 'order': 48, 'powers': [109, 73], 'representative': 270, 'size': 2}
  • id: 132691955
    {'aut_label': '48A1', 'centralizer': '2.d1.b1', 'counter': 184, 'group_counter': 8372, 'group_order': 1728, 'label': '48B-7', 'order': 48, 'powers': [108, 72], 'representative': 630, 'size': 2}
  • id: 132691956
    {'aut_label': '48A1', 'centralizer': '2.d1.b1', 'counter': 185, 'group_counter': 8372, 'group_order': 1728, 'label': '48B11', 'order': 48, 'powers': [107, 74], 'representative': 414, 'size': 2}
  • id: 132691957
    {'aut_label': '48A1', 'centralizer': '2.d1.b1', 'counter': 186, 'group_counter': 8372, 'group_order': 1728, 'label': '48B-11', 'order': 48, 'powers': [106, 75], 'representative': 486, 'size': 2}
  • id: 132691958
    {'aut_label': '48C1', 'centralizer': '4.f1.a1', 'counter': 187, 'group_counter': 8372, 'group_order': 1728, 'label': '48C1', 'order': 48, 'powers': [118, 70], 'representative': 984, 'size': 4}
  • id: 132691959
    {'aut_label': '48C1', 'centralizer': '4.f1.a1', 'counter': 188, 'group_counter': 8372, 'group_order': 1728, 'label': '48C-1', 'order': 48, 'powers': [119, 71], 'representative': 780, 'size': 4}
  • id: 132691960
    {'aut_label': '48C1', 'centralizer': '4.f1.a1', 'counter': 189, 'group_counter': 8372, 'group_order': 1728, 'label': '48C5', 'order': 48, 'powers': [120, 69], 'representative': 1428, 'size': 4}
  • id: 132691962
    {'aut_label': '48C1', 'centralizer': '4.f1.a1', 'counter': 190, 'group_counter': 8372, 'group_order': 1728, 'label': '48C-5', 'order': 48, 'powers': [121, 68], 'representative': 336, 'size': 4}
  • id: 132691963
    {'aut_label': '48C1', 'centralizer': '4.f1.b1', 'counter': 191, 'group_counter': 8372, 'group_order': 1728, 'label': '48D1', 'order': 48, 'powers': [120, 74], 'representative': 114, 'size': 4}
  • id: 132691964
    {'aut_label': '48C1', 'centralizer': '4.f1.b1', 'counter': 192, 'group_counter': 8372, 'group_order': 1728, 'label': '48D-1', 'order': 48, 'powers': [121, 75], 'representative': 786, 'size': 4}
  • id: 132691965
    {'aut_label': '48C1', 'centralizer': '4.f1.b1', 'counter': 193, 'group_counter': 8372, 'group_order': 1728, 'label': '48D5', 'order': 48, 'powers': [118, 73], 'representative': 570, 'size': 4}
  • id: 132691966
    {'aut_label': '48C1', 'centralizer': '4.f1.b1', 'counter': 194, 'group_counter': 8372, 'group_order': 1728, 'label': '48D-5', 'order': 48, 'powers': [119, 72], 'representative': 330, 'size': 4}
  • id: 132691967
    {'aut_label': '48E1', 'centralizer': '4.f1.a1', 'counter': 195, 'group_counter': 8372, 'group_order': 1728, 'label': '48E1', 'order': 48, 'powers': [122, 68], 'representative': 48, 'size': 4}
  • id: 132691968
    {'aut_label': '48E1', 'centralizer': '4.f1.a1', 'counter': 196, 'group_counter': 8372, 'group_order': 1728, 'label': '48E-1', 'order': 48, 'powers': [123, 69], 'representative': 840, 'size': 4}
  • id: 132691969
    {'aut_label': '48E1', 'centralizer': '4.f1.a1', 'counter': 197, 'group_counter': 8372, 'group_order': 1728, 'label': '48E5', 'order': 48, 'powers': [124, 71], 'representative': 192, 'size': 4}
  • id: 132691970
    {'aut_label': '48E1', 'centralizer': '4.f1.a1', 'counter': 198, 'group_counter': 8372, 'group_order': 1728, 'label': '48E-5', 'order': 48, 'powers': [125, 70], 'representative': 696, 'size': 4}
  • id: 132691971
    {'aut_label': '48E1', 'centralizer': '4.f1.a1', 'counter': 199, 'group_counter': 8372, 'group_order': 1728, 'label': '48E7', 'order': 48, 'powers': [126, 69], 'representative': 264, 'size': 4}
  • id: 132691974
    {'aut_label': '48E1', 'centralizer': '4.f1.a1', 'counter': 200, 'group_counter': 8372, 'group_order': 1728, 'label': '48E-7', 'order': 48, 'powers': [127, 68], 'representative': 624, 'size': 4}
  • id: 132691975
    {'aut_label': '48E1', 'centralizer': '4.f1.a1', 'counter': 201, 'group_counter': 8372, 'group_order': 1728, 'label': '48E11', 'order': 48, 'powers': [128, 70], 'representative': 408, 'size': 4}
  • id: 132691976
    {'aut_label': '48E1', 'centralizer': '4.f1.a1', 'counter': 202, 'group_counter': 8372, 'group_order': 1728, 'label': '48E-11', 'order': 48, 'powers': [129, 71], 'representative': 480, 'size': 4}
  • id: 132691977
    {'aut_label': '48E1', 'centralizer': '4.f1.b1', 'counter': 203, 'group_counter': 8372, 'group_order': 1728, 'label': '48F1', 'order': 48, 'powers': [129, 72], 'representative': 42, 'size': 4}
  • id: 132691978
    {'aut_label': '48E1', 'centralizer': '4.f1.b1', 'counter': 204, 'group_counter': 8372, 'group_order': 1728, 'label': '48F-1', 'order': 48, 'powers': [128, 73], 'representative': 834, 'size': 4}
  • id: 132691979
    {'aut_label': '48E1', 'centralizer': '4.f1.b1', 'counter': 205, 'group_counter': 8372, 'group_order': 1728, 'label': '48F5', 'order': 48, 'powers': [127, 75], 'representative': 186, 'size': 4}
  • id: 132691980
    {'aut_label': '48E1', 'centralizer': '4.f1.b1', 'counter': 206, 'group_counter': 8372, 'group_order': 1728, 'label': '48F-5', 'order': 48, 'powers': [126, 74], 'representative': 690, 'size': 4}
  • id: 132691981
    {'aut_label': '48E1', 'centralizer': '4.f1.b1', 'counter': 207, 'group_counter': 8372, 'group_order': 1728, 'label': '48F7', 'order': 48, 'powers': [125, 73], 'representative': 258, 'size': 4}
  • id: 132691982
    {'aut_label': '48E1', 'centralizer': '4.f1.b1', 'counter': 208, 'group_counter': 8372, 'group_order': 1728, 'label': '48F-7', 'order': 48, 'powers': [124, 72], 'representative': 618, 'size': 4}
  • id: 132691983
    {'aut_label': '48E1', 'centralizer': '4.f1.b1', 'counter': 209, 'group_counter': 8372, 'group_order': 1728, 'label': '48F11', 'order': 48, 'powers': [123, 74], 'representative': 402, 'size': 4}
  • id: 132691985
    {'aut_label': '48E1', 'centralizer': '4.f1.b1', 'counter': 210, 'group_counter': 8372, 'group_order': 1728, 'label': '48F-11', 'order': 48, 'powers': [122, 75], 'representative': 474, 'size': 4}
  • id: 132691986
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 211, 'group_counter': 8372, 'group_order': 1728, 'label': '48G1', 'order': 48, 'powers': [106, 76], 'representative': 37, 'size': 9}
  • id: 132691987
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 212, 'group_counter': 8372, 'group_order': 1728, 'label': '48G-1', 'order': 48, 'powers': [107, 77], 'representative': 1693, 'size': 9}
  • id: 132691988
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 213, 'group_counter': 8372, 'group_order': 1728, 'label': '48G5', 'order': 48, 'powers': [108, 80], 'representative': 181, 'size': 9}
  • id: 132691989
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 214, 'group_counter': 8372, 'group_order': 1728, 'label': '48G-5', 'order': 48, 'powers': [109, 81], 'representative': 1549, 'size': 9}
  • id: 132691990
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 215, 'group_counter': 8372, 'group_order': 1728, 'label': '48G7', 'order': 48, 'powers': [110, 82], 'representative': 253, 'size': 9}
  • id: 132691991
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 216, 'group_counter': 8372, 'group_order': 1728, 'label': '48G-7', 'order': 48, 'powers': [111, 83], 'representative': 1477, 'size': 9}
  • id: 132691992
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 217, 'group_counter': 8372, 'group_order': 1728, 'label': '48G11', 'order': 48, 'powers': [112, 81], 'representative': 397, 'size': 9}
  • id: 132691993
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 218, 'group_counter': 8372, 'group_order': 1728, 'label': '48G-11', 'order': 48, 'powers': [113, 80], 'representative': 1333, 'size': 9}
  • id: 132691994
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 219, 'group_counter': 8372, 'group_order': 1728, 'label': '48G13', 'order': 48, 'powers': [113, 79], 'representative': 469, 'size': 9}
  • id: 132691996
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 220, 'group_counter': 8372, 'group_order': 1728, 'label': '48G-13', 'order': 48, 'powers': [112, 78], 'representative': 1261, 'size': 9}
  • id: 132691997
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 221, 'group_counter': 8372, 'group_order': 1728, 'label': '48G17', 'order': 48, 'powers': [111, 76], 'representative': 613, 'size': 9}
  • id: 132691998
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 222, 'group_counter': 8372, 'group_order': 1728, 'label': '48G-17', 'order': 48, 'powers': [110, 77], 'representative': 1117, 'size': 9}
  • id: 132691999
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 223, 'group_counter': 8372, 'group_order': 1728, 'label': '48G19', 'order': 48, 'powers': [109, 78], 'representative': 685, 'size': 9}
  • id: 132692000
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 224, 'group_counter': 8372, 'group_order': 1728, 'label': '48G-19', 'order': 48, 'powers': [108, 79], 'representative': 1045, 'size': 9}
  • id: 132692001
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 225, 'group_counter': 8372, 'group_order': 1728, 'label': '48G23', 'order': 48, 'powers': [107, 82], 'representative': 829, 'size': 9}
  • id: 132692002
    {'aut_label': '48G1', 'centralizer': '9.a1.a1', 'counter': 226, 'group_counter': 8372, 'group_order': 1728, 'label': '48G-23', 'order': 48, 'powers': [106, 83], 'representative': 901, 'size': 9}
  • id: 132692003
    {'aut_label': '48H1', 'centralizer': '18.e1.a1', 'counter': 227, 'group_counter': 8372, 'group_order': 1728, 'label': '48H1', 'order': 48, 'powers': [106, 84], 'representative': 39, 'size': 18}
  • id: 132692004
    {'aut_label': '48H1', 'centralizer': '18.e1.a1', 'counter': 228, 'group_counter': 8372, 'group_order': 1728, 'label': '48H-1', 'order': 48, 'powers': [107, 85], 'representative': 831, 'size': 18}
  • id: 132692005
    {'aut_label': '48H1', 'centralizer': '18.e1.a1', 'counter': 229, 'group_counter': 8372, 'group_order': 1728, 'label': '48H5', 'order': 48, 'powers': [108, 87], 'representative': 183, 'size': 18}
  • id: 132692007
    {'aut_label': '48H1', 'centralizer': '18.e1.a1', 'counter': 230, 'group_counter': 8372, 'group_order': 1728, 'label': '48H-5', 'order': 48, 'powers': [109, 86], 'representative': 687, 'size': 18}
  • id: 132692008
    {'aut_label': '48H1', 'centralizer': '18.e1.a1', 'counter': 231, 'group_counter': 8372, 'group_order': 1728, 'label': '48H7', 'order': 48, 'powers': [110, 85], 'representative': 255, 'size': 18}
  • id: 132692009
    {'aut_label': '48H1', 'centralizer': '18.e1.a1', 'counter': 232, 'group_counter': 8372, 'group_order': 1728, 'label': '48H-7', 'order': 48, 'powers': [111, 84], 'representative': 615, 'size': 18}
  • id: 132692010
    {'aut_label': '48H1', 'centralizer': '18.e1.a1', 'counter': 233, 'group_counter': 8372, 'group_order': 1728, 'label': '48H11', 'order': 48, 'powers': [112, 86], 'representative': 399, 'size': 18}
  • id: 132692011
    {'aut_label': '48H1', 'centralizer': '18.e1.a1', 'counter': 234, 'group_counter': 8372, 'group_order': 1728, 'label': '48H-11', 'order': 48, 'powers': [113, 87], 'representative': 471, 'size': 18}
  • id: 132692012
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 235, 'group_counter': 8372, 'group_order': 1728, 'label': '72A1', 'order': 72, 'powers': [146, 118], 'representative': 656, 'size': 2}
  • id: 132692013
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 236, 'group_counter': 8372, 'group_order': 1728, 'label': '72A-1', 'order': 72, 'powers': [147, 119], 'representative': 1108, 'size': 2}
  • id: 132692014
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 237, 'group_counter': 8372, 'group_order': 1728, 'label': '72A5', 'order': 72, 'powers': [149, 120], 'representative': 1516, 'size': 2}
  • id: 132692015
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 238, 'group_counter': 8372, 'group_order': 1728, 'label': '72A-5', 'order': 72, 'powers': [148, 121], 'representative': 248, 'size': 2}
  • id: 132692016
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 239, 'group_counter': 8372, 'group_order': 1728, 'label': '72A7', 'order': 72, 'powers': [145, 119], 'representative': 1100, 'size': 2}
  • id: 132692018
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 240, 'group_counter': 8372, 'group_order': 1728, 'label': '72A-7', 'order': 72, 'powers': [144, 118], 'representative': 664, 'size': 2}
  • id: 132692019
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 241, 'group_counter': 8372, 'group_order': 1728, 'label': '72A11', 'order': 72, 'powers': [145, 121], 'representative': 232, 'size': 2}
  • id: 132692020
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 242, 'group_counter': 8372, 'group_order': 1728, 'label': '72A-11', 'order': 72, 'powers': [144, 120], 'representative': 1532, 'size': 2}
  • id: 132692021
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 243, 'group_counter': 8372, 'group_order': 1728, 'label': '72A19', 'order': 72, 'powers': [147, 121], 'representative': 224, 'size': 2}
  • id: 132692022
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 244, 'group_counter': 8372, 'group_order': 1728, 'label': '72A-19', 'order': 72, 'powers': [146, 120], 'representative': 1540, 'size': 2}
  • id: 132692023
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 245, 'group_counter': 8372, 'group_order': 1728, 'label': '72A23', 'order': 72, 'powers': [148, 119], 'representative': 1084, 'size': 2}
  • id: 132692024
    {'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 246, 'group_counter': 8372, 'group_order': 1728, 'label': '72A-23', 'order': 72, 'powers': [149, 118], 'representative': 680, 'size': 2}
  • id: 132692025
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 247, 'group_counter': 8372, 'group_order': 1728, 'label': '72B1', 'order': 72, 'powers': [158, 118], 'representative': 80, 'size': 2}
  • id: 132692026
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 248, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-1', 'order': 72, 'powers': [159, 119], 'representative': 1684, 'size': 2}
  • id: 132692027
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 249, 'group_counter': 8372, 'group_order': 1728, 'label': '72B5', 'order': 72, 'powers': [155, 120], 'representative': 364, 'size': 2}
  • id: 132692029
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 250, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-5', 'order': 72, 'powers': [154, 121], 'representative': 1400, 'size': 2}
  • id: 132692030
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 251, 'group_counter': 8372, 'group_order': 1728, 'label': '72B7', 'order': 72, 'powers': [161, 119], 'representative': 524, 'size': 2}
  • id: 132692031
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 252, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-7', 'order': 72, 'powers': [160, 118], 'representative': 1240, 'size': 2}
  • id: 132692032
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 253, 'group_counter': 8372, 'group_order': 1728, 'label': '72B11', 'order': 72, 'powers': [151, 121], 'representative': 808, 'size': 2}
  • id: 132692033
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 254, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-11', 'order': 72, 'powers': [150, 120], 'representative': 956, 'size': 2}
  • id: 132692034
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 255, 'group_counter': 8372, 'group_order': 1728, 'label': '72B13', 'order': 72, 'powers': [157, 120], 'representative': 968, 'size': 2}
  • id: 132692035
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 256, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-13', 'order': 72, 'powers': [156, 121], 'representative': 796, 'size': 2}
  • id: 132692036
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 257, 'group_counter': 8372, 'group_order': 1728, 'label': '72B17', 'order': 72, 'powers': [152, 118], 'representative': 1252, 'size': 2}
  • id: 132692037
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 258, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-17', 'order': 72, 'powers': [153, 119], 'representative': 512, 'size': 2}
  • id: 132692038
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 259, 'group_counter': 8372, 'group_order': 1728, 'label': '72B19', 'order': 72, 'powers': [153, 121], 'representative': 1376, 'size': 2}
  • id: 132692040
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 260, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-19', 'order': 72, 'powers': [152, 120], 'representative': 388, 'size': 2}
  • id: 132692041
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 261, 'group_counter': 8372, 'group_order': 1728, 'label': '72B23', 'order': 72, 'powers': [156, 119], 'representative': 1660, 'size': 2}
  • id: 132692042
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 262, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-23', 'order': 72, 'powers': [157, 118], 'representative': 104, 'size': 2}
  • id: 132692043
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 263, 'group_counter': 8372, 'group_order': 1728, 'label': '72B25', 'order': 72, 'powers': [150, 118], 'representative': 92, 'size': 2}
  • id: 132692044
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 264, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-25', 'order': 72, 'powers': [151, 119], 'representative': 1672, 'size': 2}
  • id: 132692045
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 265, 'group_counter': 8372, 'group_order': 1728, 'label': '72B29', 'order': 72, 'powers': [160, 120], 'representative': 376, 'size': 2}
  • id: 132692046
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 266, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-29', 'order': 72, 'powers': [161, 121], 'representative': 1388, 'size': 2}
  • id: 132692047
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 267, 'group_counter': 8372, 'group_order': 1728, 'label': '72B31', 'order': 72, 'powers': [154, 119], 'representative': 536, 'size': 2}
  • id: 132692048
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 268, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-31', 'order': 72, 'powers': [155, 118], 'representative': 1228, 'size': 2}
  • id: 132692049
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 269, 'group_counter': 8372, 'group_order': 1728, 'label': '72B35', 'order': 72, 'powers': [159, 121], 'representative': 820, 'size': 2}
  • id: 132692051
    {'aut_label': '72B1', 'centralizer': '2.b1.a1', 'counter': 270, 'group_counter': 8372, 'group_order': 1728, 'label': '72B-35', 'order': 72, 'powers': [158, 120], 'representative': 944, 'size': 2}
  • id: 132692052
    {'aut_label': '72C1', 'centralizer': '4.b1.a1', 'counter': 271, 'group_counter': 8372, 'group_order': 1728, 'label': '72C1', 'order': 72, 'powers': [144, 130], 'representative': 650, 'size': 4}
  • id: 132692053
    {'aut_label': '72C1', 'centralizer': '4.b1.a1', 'counter': 272, 'group_counter': 8372, 'group_order': 1728, 'label': '72C-1', 'order': 72, 'powers': [145, 131], 'representative': 218, 'size': 4}
  • id: 132692054
    {'aut_label': '72C1', 'centralizer': '4.b1.a1', 'counter': 273, 'group_counter': 8372, 'group_order': 1728, 'label': '72C5', 'order': 72, 'powers': [146, 130], 'representative': 674, 'size': 4}
  • id: 132692055
    {'aut_label': '72C1', 'centralizer': '4.b1.a1', 'counter': 274, 'group_counter': 8372, 'group_order': 1728, 'label': '72C-5', 'order': 72, 'powers': [147, 131], 'representative': 242, 'size': 4}
  • id: 132692056
    {'aut_label': '72C1', 'centralizer': '4.b1.a1', 'counter': 275, 'group_counter': 8372, 'group_order': 1728, 'label': '72C7', 'order': 72, 'powers': [148, 131], 'representative': 230, 'size': 4}
  • id: 132692057
    {'aut_label': '72C1', 'centralizer': '4.b1.a1', 'counter': 276, 'group_counter': 8372, 'group_order': 1728, 'label': '72C-7', 'order': 72, 'powers': [149, 130], 'representative': 662, 'size': 4}
  • id: 132692058
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 277, 'group_counter': 8372, 'group_order': 1728, 'label': '72D1', 'order': 72, 'powers': [150, 130], 'representative': 74, 'size': 4}
  • id: 132692059
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 278, 'group_counter': 8372, 'group_order': 1728, 'label': '72D-1', 'order': 72, 'powers': [151, 131], 'representative': 794, 'size': 4}
  • id: 132692060
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 279, 'group_counter': 8372, 'group_order': 1728, 'label': '72D5', 'order': 72, 'powers': [152, 130], 'representative': 386, 'size': 4}
  • id: 132692062
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 280, 'group_counter': 8372, 'group_order': 1728, 'label': '72D-5', 'order': 72, 'powers': [153, 131], 'representative': 530, 'size': 4}
  • id: 132692063
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 281, 'group_counter': 8372, 'group_order': 1728, 'label': '72D7', 'order': 72, 'powers': [154, 131], 'representative': 518, 'size': 4}
  • id: 132692064
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 282, 'group_counter': 8372, 'group_order': 1728, 'label': '72D-7', 'order': 72, 'powers': [155, 130], 'representative': 374, 'size': 4}
  • id: 132692065
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 283, 'group_counter': 8372, 'group_order': 1728, 'label': '72D11', 'order': 72, 'powers': [156, 131], 'representative': 806, 'size': 4}
  • id: 132692066
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 284, 'group_counter': 8372, 'group_order': 1728, 'label': '72D-11', 'order': 72, 'powers': [157, 130], 'representative': 86, 'size': 4}
  • id: 132692067
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 285, 'group_counter': 8372, 'group_order': 1728, 'label': '72D13', 'order': 72, 'powers': [158, 130], 'representative': 98, 'size': 4}
  • id: 132692068
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 286, 'group_counter': 8372, 'group_order': 1728, 'label': '72D-13', 'order': 72, 'powers': [159, 131], 'representative': 818, 'size': 4}
  • id: 132692069
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 287, 'group_counter': 8372, 'group_order': 1728, 'label': '72D17', 'order': 72, 'powers': [160, 130], 'representative': 362, 'size': 4}
  • id: 132692070
    {'aut_label': '72D1', 'centralizer': '4.b1.a1', 'counter': 288, 'group_counter': 8372, 'group_order': 1728, 'label': '72D-17', 'order': 72, 'powers': [161, 131], 'representative': 506, 'size': 4}
  • id: 132692071
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 289, 'group_counter': 8372, 'group_order': 1728, 'label': '144A1', 'order': 144, 'powers': [235, 187], 'representative': 328, 'size': 4}
  • id: 132692073
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 290, 'group_counter': 8372, 'group_order': 1728, 'label': '144A-1', 'order': 144, 'powers': [236, 188], 'representative': 544, 'size': 4}
  • id: 132692074
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 291, 'group_counter': 8372, 'group_order': 1728, 'label': '144A5', 'order': 144, 'powers': [237, 189], 'representative': 772, 'size': 4}
  • id: 132692075
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 292, 'group_counter': 8372, 'group_order': 1728, 'label': '144A-5', 'order': 144, 'powers': [238, 190], 'representative': 124, 'size': 4}
  • id: 132692076
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 293, 'group_counter': 8372, 'group_order': 1728, 'label': '144A7', 'order': 144, 'powers': [239, 188], 'representative': 548, 'size': 4}
  • id: 132692077
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 294, 'group_counter': 8372, 'group_order': 1728, 'label': '144A-7', 'order': 144, 'powers': [240, 187], 'representative': 332, 'size': 4}
  • id: 132692078
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 295, 'group_counter': 8372, 'group_order': 1728, 'label': '144A11', 'order': 144, 'powers': [241, 190], 'representative': 116, 'size': 4}
  • id: 132692079
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 296, 'group_counter': 8372, 'group_order': 1728, 'label': '144A-11', 'order': 144, 'powers': [242, 189], 'representative': 764, 'size': 4}
  • id: 132692080
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 297, 'group_counter': 8372, 'group_order': 1728, 'label': '144A19', 'order': 144, 'powers': [243, 190], 'representative': 112, 'size': 4}
  • id: 132692081
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 298, 'group_counter': 8372, 'group_order': 1728, 'label': '144A-19', 'order': 144, 'powers': [244, 189], 'representative': 760, 'size': 4}
  • id: 132692082
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 299, 'group_counter': 8372, 'group_order': 1728, 'label': '144A23', 'order': 144, 'powers': [245, 188], 'representative': 556, 'size': 4}
  • id: 132692085
    {'aut_label': '144A1', 'centralizer': '4.f1.a1', 'counter': 300, 'group_counter': 8372, 'group_order': 1728, 'label': '144A-23', 'order': 144, 'powers': [246, 187], 'representative': 340, 'size': 4}
  • id: 132692086
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 301, 'group_counter': 8372, 'group_order': 1728, 'label': '144B1', 'order': 144, 'powers': [237, 191], 'representative': 326, 'size': 4}
  • id: 132692087
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 302, 'group_counter': 8372, 'group_order': 1728, 'label': '144B-1', 'order': 144, 'powers': [238, 192], 'representative': 542, 'size': 4}
  • id: 132692088
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 303, 'group_counter': 8372, 'group_order': 1728, 'label': '144B5', 'order': 144, 'powers': [240, 193], 'representative': 782, 'size': 4}
  • id: 132692089
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 304, 'group_counter': 8372, 'group_order': 1728, 'label': '144B-5', 'order': 144, 'powers': [239, 194], 'representative': 134, 'size': 4}
  • id: 132692090
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 305, 'group_counter': 8372, 'group_order': 1728, 'label': '144B7', 'order': 144, 'powers': [243, 192], 'representative': 554, 'size': 4}
  • id: 132692091
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 306, 'group_counter': 8372, 'group_order': 1728, 'label': '144B-7', 'order': 144, 'powers': [244, 191], 'representative': 338, 'size': 4}
  • id: 132692092
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 307, 'group_counter': 8372, 'group_order': 1728, 'label': '144B11', 'order': 144, 'powers': [236, 194], 'representative': 122, 'size': 4}
  • id: 132692093
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 308, 'group_counter': 8372, 'group_order': 1728, 'label': '144B-11', 'order': 144, 'powers': [235, 193], 'representative': 770, 'size': 4}
  • id: 132692094
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 309, 'group_counter': 8372, 'group_order': 1728, 'label': '144B19', 'order': 144, 'powers': [245, 194], 'representative': 110, 'size': 4}
  • id: 132692096
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 310, 'group_counter': 8372, 'group_order': 1728, 'label': '144B-19', 'order': 144, 'powers': [246, 193], 'representative': 758, 'size': 4}
  • id: 132692097
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 311, 'group_counter': 8372, 'group_order': 1728, 'label': '144B23', 'order': 144, 'powers': [241, 192], 'representative': 566, 'size': 4}
  • id: 132692098
    {'aut_label': '144A1', 'centralizer': '4.f1.b1', 'counter': 312, 'group_counter': 8372, 'group_order': 1728, 'label': '144B-23', 'order': 144, 'powers': [242, 191], 'representative': 350, 'size': 4}
  • id: 132692099
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 313, 'group_counter': 8372, 'group_order': 1728, 'label': '144C1', 'order': 144, 'powers': [247, 187], 'representative': 40, 'size': 4}
  • id: 132692100
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 314, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-1', 'order': 144, 'powers': [248, 188], 'representative': 832, 'size': 4}
  • id: 132692101
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 315, 'group_counter': 8372, 'group_order': 1728, 'label': '144C5', 'order': 144, 'powers': [249, 189], 'representative': 196, 'size': 4}
  • id: 132692102
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 316, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-5', 'order': 144, 'powers': [250, 190], 'representative': 700, 'size': 4}
  • id: 132692103
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 317, 'group_counter': 8372, 'group_order': 1728, 'label': '144C7', 'order': 144, 'powers': [251, 188], 'representative': 260, 'size': 4}
  • id: 132692104
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 318, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-7', 'order': 144, 'powers': [252, 187], 'representative': 620, 'size': 4}
  • id: 132692105
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 319, 'group_counter': 8372, 'group_order': 1728, 'label': '144C11', 'order': 144, 'powers': [253, 190], 'representative': 404, 'size': 4}
  • id: 132692107
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 320, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-11', 'order': 144, 'powers': [254, 189], 'representative': 476, 'size': 4}
  • id: 132692108
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 321, 'group_counter': 8372, 'group_order': 1728, 'label': '144C13', 'order': 144, 'powers': [255, 189], 'representative': 484, 'size': 4}
  • id: 132692109
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 322, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-13', 'order': 144, 'powers': [256, 190], 'representative': 412, 'size': 4}
  • id: 132692110
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 323, 'group_counter': 8372, 'group_order': 1728, 'label': '144C17', 'order': 144, 'powers': [257, 187], 'representative': 616, 'size': 4}
  • id: 132692111
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 324, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-17', 'order': 144, 'powers': [258, 188], 'representative': 256, 'size': 4}
  • id: 132692112
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 325, 'group_counter': 8372, 'group_order': 1728, 'label': '144C19', 'order': 144, 'powers': [259, 190], 'representative': 688, 'size': 4}
  • id: 132692113
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 326, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-19', 'order': 144, 'powers': [260, 189], 'representative': 184, 'size': 4}
  • id: 132692114
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 327, 'group_counter': 8372, 'group_order': 1728, 'label': '144C23', 'order': 144, 'powers': [261, 188], 'representative': 844, 'size': 4}
  • id: 132692115
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 328, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-23', 'order': 144, 'powers': [262, 187], 'representative': 52, 'size': 4}
  • id: 132692116
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 329, 'group_counter': 8372, 'group_order': 1728, 'label': '144C25', 'order': 144, 'powers': [263, 187], 'representative': 44, 'size': 4}
  • id: 132692118
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 330, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-25', 'order': 144, 'powers': [264, 188], 'representative': 836, 'size': 4}
  • id: 132692119
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 331, 'group_counter': 8372, 'group_order': 1728, 'label': '144C29', 'order': 144, 'powers': [265, 189], 'representative': 188, 'size': 4}
  • id: 132692120
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 332, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-29', 'order': 144, 'powers': [266, 190], 'representative': 692, 'size': 4}
  • id: 132692121
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 333, 'group_counter': 8372, 'group_order': 1728, 'label': '144C31', 'order': 144, 'powers': [267, 188], 'representative': 268, 'size': 4}
  • id: 132692122
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 334, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-31', 'order': 144, 'powers': [268, 187], 'representative': 628, 'size': 4}
  • id: 132692123
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 335, 'group_counter': 8372, 'group_order': 1728, 'label': '144C35', 'order': 144, 'powers': [269, 190], 'representative': 400, 'size': 4}
  • id: 132692124
    {'aut_label': '144C1', 'centralizer': '4.f1.a1', 'counter': 336, 'group_counter': 8372, 'group_order': 1728, 'label': '144C-35', 'order': 144, 'powers': [270, 189], 'representative': 472, 'size': 4}
  • id: 132692125
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 337, 'group_counter': 8372, 'group_order': 1728, 'label': '144D1', 'order': 144, 'powers': [255, 191], 'representative': 38, 'size': 4}
  • id: 132692126
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 338, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-1', 'order': 144, 'powers': [256, 192], 'representative': 830, 'size': 4}
  • id: 132692127
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 339, 'group_counter': 8372, 'group_order': 1728, 'label': '144D5', 'order': 144, 'powers': [252, 193], 'representative': 206, 'size': 4}
  • id: 132692129
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 340, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-5', 'order': 144, 'powers': [251, 194], 'representative': 710, 'size': 4}
  • id: 132692130
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 341, 'group_counter': 8372, 'group_order': 1728, 'label': '144D7', 'order': 144, 'powers': [259, 192], 'representative': 266, 'size': 4}
  • id: 132692131
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 342, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-7', 'order': 144, 'powers': [260, 191], 'representative': 626, 'size': 4}
  • id: 132692132
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 343, 'group_counter': 8372, 'group_order': 1728, 'label': '144D11', 'order': 144, 'powers': [248, 194], 'representative': 410, 'size': 4}
  • id: 132692133
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 344, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-11', 'order': 144, 'powers': [247, 193], 'representative': 482, 'size': 4}
  • id: 132692134
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 345, 'group_counter': 8372, 'group_order': 1728, 'label': '144D13', 'order': 144, 'powers': [263, 193], 'representative': 494, 'size': 4}
  • id: 132692135
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 346, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-13', 'order': 144, 'powers': [264, 194], 'representative': 422, 'size': 4}
  • id: 132692136
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 347, 'group_counter': 8372, 'group_order': 1728, 'label': '144D17', 'order': 144, 'powers': [249, 191], 'representative': 614, 'size': 4}
  • id: 132692137
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 348, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-17', 'order': 144, 'powers': [250, 192], 'representative': 254, 'size': 4}
  • id: 132692138
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 349, 'group_counter': 8372, 'group_order': 1728, 'label': '144D19', 'order': 144, 'powers': [267, 194], 'representative': 686, 'size': 4}
  • id: 132692140
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 350, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-19', 'order': 144, 'powers': [268, 193], 'representative': 182, 'size': 4}
  • id: 132692141
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 351, 'group_counter': 8372, 'group_order': 1728, 'label': '144D23', 'order': 144, 'powers': [253, 192], 'representative': 854, 'size': 4}
  • id: 132692142
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 352, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-23', 'order': 144, 'powers': [254, 191], 'representative': 62, 'size': 4}
  • id: 132692143
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 353, 'group_counter': 8372, 'group_order': 1728, 'label': '144D25', 'order': 144, 'powers': [270, 191], 'representative': 50, 'size': 4}
  • id: 132692144
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 354, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-25', 'order': 144, 'powers': [269, 192], 'representative': 842, 'size': 4}
  • id: 132692145
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 355, 'group_counter': 8372, 'group_order': 1728, 'label': '144D29', 'order': 144, 'powers': [257, 193], 'representative': 194, 'size': 4}
  • id: 132692146
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 356, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-29', 'order': 144, 'powers': [258, 194], 'representative': 698, 'size': 4}
  • id: 132692147
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 357, 'group_counter': 8372, 'group_order': 1728, 'label': '144D31', 'order': 144, 'powers': [266, 192], 'representative': 278, 'size': 4}
  • id: 132692148
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 358, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-31', 'order': 144, 'powers': [265, 191], 'representative': 638, 'size': 4}
  • id: 132692149
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 359, 'group_counter': 8372, 'group_order': 1728, 'label': '144D35', 'order': 144, 'powers': [261, 194], 'representative': 398, 'size': 4}
  • id: 132692151
    {'aut_label': '144C1', 'centralizer': '4.f1.b1', 'counter': 360, 'group_counter': 8372, 'group_order': 1728, 'label': '144D-35', 'order': 144, 'powers': [262, 193], 'representative': 470, 'size': 4}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 11525001
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 11525012
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 11525023
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 11525034
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 11525045
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 11525056
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 11525067
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 11525069
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 11525070
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1i', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1], 'schur_index': 1}
  • id: 11525002
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525003
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525004
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525005
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1m', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525006
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -1, -1, 2, -1, -1, 2, 2, -2, -2, 2, -1, -1, 2, -1, 1, 1, -1, -2, 1, 1, -1, -1, 1, 1, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 1, 2, -1, 1, 2, -1, -1, -2, 1, 1, 1, 1, -1, -1, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -1, 2, -1, 2, 2, -1, -1, 1, 1, 1, -2, 1, -2, 1, -2, 1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 1, 2, -1, 1, 2, -1, -1, 2, -1, -1, -1, -1, 1, -1, 1, 1, -2, -2, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 2, 1, 2, 2, -1, 1, -2, 1, 1, -2, 1, -1, 1, 1, -1, -2, -1, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, -2, 1, 1, 2, 1, 1, -2, -1, 1, 1, -1, 2, 1, -1, -1, 1, 2, 1, -1, -2, 2, -2, 2, -1, -2, -1, 1, -1, 1, -2, -1, 1, 1, 2, -1, -2, -1, -1, -2, 1, -2, 1, -1, -2, 2, 1, 1, -1, -1, -2, 1, 1, -1, 1, 1, -2, 2, -1, -1, 1, 2, -1, 1, -1, 2, 2, -1, 1, 1, -2, -1, 1, -1, 2, -1], 'schur_index': 1}
  • id: 11525007
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1o', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -1, -1, 2, -1, -1, 2, 2, -2, -2, 2, -1, -1, 2, -1, 1, 1, -1, -2, 1, 1, -1, -1, 1, 1, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 1, 2, -1, 1, 2, -1, -1, -2, 1, 1, 1, 1, -1, -1, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, 1, 1, 1, -2, 1, -2, 1, -2, 1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 1, 2, -1, 1, 2, -1, -1, 2, -1, -1, -1, -1, 1, -1, 1, 1, -2, -2, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, 1, 1, 1, 1, -2, -2, 1, -2, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -2, -1, -2, -2, 1, -1, 2, -1, -1, 2, -1, 1, -1, -1, 1, 2, 1, 2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, -2, 1, 1, -2, -1, -1, 2, 1, -1, -1, 1, -2, -1, 1, 1, -1, -2, -1, 1, 2, -2, 2, -2, 1, 2, 1, -1, 1, -1, 2, 1, -1, -1, -2, 1, 2, 1, 1, 2, -1, 2, -1, 1, 2, -2, -1, -1, 1, 1, 2, -1, -1, 1, -1, -1, 2, -2, 1, 1, -1, -2, 1, -1, 1, -2, -2, 1, -1, -1, 2, 1, -1, 1, -2, 1], 'schur_index': 1}
  • id: 11525008
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -1, -1, 2, -1, -1, 2, 2, -2, 2, -2, -1, -1, 2, -1, 1, 1, -1, -2, 1, 1, 1, 1, -1, -1, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 1, 2, -1, 1, 2, -1, -1, -2, 1, 1, -1, -1, 1, 1, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, 1, 1, 1, -2, 1, -2, 1, -2, 1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 1, 2, -1, 1, 2, -1, -1, 2, -1, -1, -1, -1, 1, -1, 1, 1, -2, -2, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 2, 1, 2, 2, -1, 1, -2, 1, 1, -2, 1, -1, 1, 1, -1, -2, -1, -2, 2, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, -2, 1, 1, 2, 1, 1, -2, -1, 1, 1, -1, 2, 1, -1, -1, 1, 2, 1, -1, -2, 2, -2, 2, -1, -2, -1, 1, -1, 1, -2, -1, 1, 1, 2, -1, -2, -1, -1, -2, 1, -2, 1, -1, -2, 2, 1, 1, -1, -1, -2, 1, 1, -1, 1, 1, -2, 2, -1, -1, 1, 2, -1, 1, -1, 2, 2, -1, 1, 1, -2, -1, 1, -1, 2, -1], 'schur_index': 1}
  • id: 11525009
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1q', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -1, -1, 2, -1, -1, 2, 2, -2, 2, -2, -1, -1, 2, -1, 1, 1, -1, -2, 1, 1, 1, 1, -1, -1, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 1, 2, -1, 1, 2, -1, -1, -2, 1, 1, -1, -1, 1, 1, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -1, 2, -1, 2, 2, -1, -1, 1, 1, 1, -2, 1, -2, 1, -2, 1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 1, 2, -1, 1, 2, -1, -1, 2, -1, -1, -1, -1, 1, -1, 1, 1, -2, -2, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, 1, 1, 1, 1, -2, -2, 1, -2, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -2, -1, -2, -2, 1, -1, 2, -1, -1, 2, -1, 1, -1, -1, 1, 2, 1, 2, -2, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, -2, 1, 1, -2, -1, -1, 2, 1, -1, -1, 1, -2, -1, 1, 1, -1, -2, -1, 1, 2, -2, 2, -2, 1, 2, 1, -1, 1, -1, 2, 1, -1, -1, -2, 1, 2, 1, 1, 2, -1, 2, -1, 1, 2, -2, -1, -1, 1, 1, 2, -1, -1, 1, -1, -1, 2, -2, 1, 1, -1, -2, 1, -1, 1, -2, -2, 1, -1, -1, 2, 1, -1, 1, -2, 1], 'schur_index': 1}
  • id: 11525010
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, -1, -1, 2, -1, -1, 2, 2, 2, -2, -2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, -1, -1, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1], 'schur_index': 1}
  • id: 11525011
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, -1, -1, 2, -1, -1, 2, 2, 2, -2, -2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1], 'schur_index': 1}
  • id: 11525013
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, -1, -1, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1], 'schur_index': 1}
  • id: 11525027
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 11525028
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2b', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 11525029
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2c', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 11525030
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 11525014
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1u', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, -4, 4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525015
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1v', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, -4, -4, 4, 4, 4, 4, -4, -4, 4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, -4, 4, -4, -4, -4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525016
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1w', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525017
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1x', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525018
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1y', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -2, -2, 4, -2, -2, 4, 4, -4, -4, 4, -2, -2, 4, -2, 2, 2, -2, -4, 2, 2, -2, -2, 2, 2, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 2, 4, -2, 2, 4, -2, -2, -4, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 4, -2, 4, 4, -2, -2, 2, 2, 2, -4, 2, -4, 2, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, -2, -4, 2, -2, -4, 2, 2, -4, 2, 2, 2, 2, -2, 2, -2, -2, 4, 4, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, 4, -2, 2, 2, 2, 2, -4, -4, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, -4, 2, 2, -4, -4, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, -4, -4, 2, -4, 2, 2, 2, 2, 2, -4, -4, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, 4, -2, 4, 4, 4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525019
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1z', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -2, -2, 4, -2, -2, 4, 4, -4, 4, -4, -2, -2, 4, -2, 2, 2, -2, -4, 2, 2, 2, 2, -2, -2, -4, -4, -4, -4, 4, 4, -4, -4, 4, 4, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 2, 4, -2, 2, 4, -2, -2, -4, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 4, -2, 4, 4, -2, -2, 2, 2, 2, -4, 2, -4, 2, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, -2, -4, 2, -2, -4, 2, 2, -4, 2, 2, 2, 2, -2, 2, -2, -2, 4, 4, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, 4, -2, 2, 2, 2, 2, -4, -4, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, -4, 2, 2, -4, -4, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, -4, -4, 2, -4, 2, 2, 2, 2, 2, -4, -4, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, 4, -2, 4, 4, 4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525020
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1aa', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -2, -2, 4, -2, -2, 4, 4, 4, -4, -4, -2, -2, 4, -2, -2, -2, -2, 4, -2, -2, 2, 2, 2, 2, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, 4, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 4, -2, 4, 4, -2, -2, -2, -2, -2, 4, -2, 4, -2, 4, -2, 2, 2, 2, 2, 2, 2, 2, 2, -4, 2, -4, 2, 2, -4, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, 2, -4, -4, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, 4, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, -4, 2, 2, -4, -4, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, -4, -4, 2, -4, 2, 2, 2, 2, 2, -4, -4, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, -4, 2, -4, -4, -4, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525021
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1ab', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, -2, -2, 4, -2, -2, 4, 4, 4, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, 4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 4, -2, 4, 4, -2, -2, -2, -2, -2, 4, -2, 4, -2, 4, -2, 2, 2, 2, 2, 2, 2, 2, 2, -4, 2, -4, 2, 2, -4, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, 4, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, -4, 2, 2, -4, -4, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, -4, -4, 2, -4, 2, 2, 2, 2, 2, -4, -4, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, -4, 2, -4, -4, -4, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525031
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2e', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 0, -2, -2, 4, -2, -2, 4, 4, 4, 0, 0, -2, -2, 4, -2, -2, -2, -2, 4, -2, -2, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, -2, -2, -2, 1, 1, 1, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, 4, -2, -2, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, 4, -2, -2, 4, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, 4, 4, -2, -2, 4, -2, -2, 4, -2, -2, -2, -2, -2, 4, -2, 4, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -2, 1, 1, -2, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1], 'schur_index': 1}
  • id: 11525032
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2f', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, -4, 0, 0, 4, 4, 4, 4, 4, 4, 4, -4, 0, 0, 4, 4, 4, 4, -4, -4, 4, -4, -4, -4, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, -4, 4, 4, -4, 4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, -4, 4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525033
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2g', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525035
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2h', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 4, -4, 0, 0, -2, -2, 4, -2, -2, 4, 4, -4, 0, 0, -2, -2, 4, -2, 2, 2, -2, -4, 2, 2, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 1, 1, 1, -2, -2, -2, 1, 1, 1, -2, -2, -2, -2, -2, 2, 4, -2, 2, 4, -2, -2, -4, 2, 2, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -2, 1, -2, -2, 1, 1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -2, -2, -2, -2, -2, -2, -2, -2, 4, 2, 4, -2, 2, 4, -2, -2, 4, -2, -2, -2, -2, 2, -2, 2, 2, -4, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, -2, 1, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 4, 2, 4, 4, -2, 2, -4, 2, 2, -4, 2, -2, 2, 2, -2, -4, -2, -4, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -2, 1, 1, -2, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, -1, -1, -2, -1, -1, 2, 1, -1, -1, 1, -2, -1, 1, 1, -1, -2, -1, 1, 2, -2, 2, -2, 1, 2, 1, -1, 1, -1, 2, 1, -1, -1, -2, 1, 2, 1, 1, 2, -1, 2, -1, 1, 2, -2, -1, -1, 1, 1, 2, -1, -1, 1, -1, -1, 2, -2, 1, 1, -1, -2, 1, -1, 1, -2, -2, 1, -1, -1, 2, 1, -1, 1, -2, 1], 'schur_index': 1}
  • id: 11525036
    {'cdim': 2, 'counter': 41, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2i', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 4, -4, 0, 0, -2, -2, 4, -2, -2, 4, 4, -4, 0, 0, -2, -2, 4, -2, 2, 2, -2, -4, 2, 2, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 1, 1, 1, -2, -2, -2, 1, 1, 1, -2, -2, -2, -2, -2, 2, 4, -2, 2, 4, -2, -2, -4, 2, 2, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -2, 1, -2, -2, 1, 1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -2, -2, -2, -2, -2, -2, -2, -2, 4, 2, 4, -2, 2, 4, -2, -2, 4, -2, -2, -2, -2, 2, -2, 2, 2, -4, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, -2, 1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -4, -2, -4, -4, 2, -2, 4, -2, -2, 4, -2, 2, -2, -2, 2, 4, 2, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -2, 1, 1, -2, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, -1, -1, 2, 1, 1, -2, -1, 1, 1, -1, 2, 1, -1, -1, 1, 2, 1, -1, -2, 2, -2, 2, -1, -2, -1, 1, -1, 1, -2, -1, 1, 1, 2, -1, -2, -1, -1, -2, 1, -2, 1, -1, -2, 2, 1, 1, -1, -1, -2, 1, 1, -1, 1, 1, -2, 2, -1, -1, 1, 2, -1, 1, -1, 2, 2, -1, 1, 1, -2, -1, 1, -1, 2, -1], 'schur_index': 1}
  • id: 11525037
    {'cdim': 2, 'counter': 42, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2j', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 0, -2, -2, 4, -2, -2, 4, 4, 4, 0, 0, -2, -2, 4, -2, -2, -2, -2, 4, -2, -2, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, -2, -2, -2, 1, 1, 1, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, 4, -2, -2, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, 4, -2, -2, 4, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, 2, -4, -4, 2, 2, -4, 2, 2, -4, 2, 2, 2, 2, 2, -4, 2, -4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -2, 1, 1, -2, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, -2, 1, 1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1], 'schur_index': 1}
  • id: 11525038
    {'cdim': 2, 'counter': 43, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2k', 'multiplicity': 3, 'nt': [9, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 0, 0, 6, 6, -3, -3, -3, 6, 6, 6, 0, 0, 6, 6, -3, -3, 6, 6, -3, -3, -3, -3, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, -3, 6, -3, -3, 6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, -3, 6, -3, -3, 6, -3, -3, -3, -3, -3, -3, -3, -3, 6, -3, 6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525039
    {'cdim': 2, 'counter': 44, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2l', 'multiplicity': 3, 'nt': [18, 13], 'qdim': 6, 'qvalues': [6, 6, -6, 0, 0, 6, 6, -3, -3, -3, 6, 6, -6, 0, 0, 6, 6, -3, -3, -6, -6, -3, 3, 3, 3, 0, 0, 0, 0, 6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, -3, -6, -3, -3, -6, -3, -3, -3, 3, 3, 3, 0, 0, 0, 0, -6, -6, -6, -6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, -3, -6, -3, -3, -6, -3, -3, -3, -3, -3, -3, -3, -3, -6, -3, -6, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, 6, -6, 6, -6, -6, -6, 6, 6, -6, 6, 6, 6, -6, -6, 3, -3, -3, -3, -3, 3, -3, -3, -3, 3, 3, 3, 3, 3, 3, -3, 3, 3, -3, 3, -3, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525040
    {'cdim': 2, 'counter': 45, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2m', 'multiplicity': 3, 'nt': [18, 13], 'qdim': 6, 'qvalues': [6, 6, -6, 0, 0, 6, 6, -3, -3, -3, 6, 6, -6, 0, 0, 6, 6, -3, -3, -6, -6, -3, 3, 3, 3, 0, 0, 0, 0, 6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, -3, -6, -3, -3, -6, -3, -3, -3, 3, 3, 3, 0, 0, 0, 0, 6, 6, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, -3, -6, -3, -3, -6, -3, -3, -3, -3, -3, -3, -3, -3, -6, -3, -6, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, 6, -6, 6, 6, 6, -6, -6, 6, -6, -6, -6, 6, 6, -3, 3, 3, 3, 3, -3, 3, 3, 3, -3, -3, -3, -3, -3, -3, 3, -3, -3, 3, -3, 3, -3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525041
    {'cdim': 2, 'counter': 46, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2n', 'multiplicity': 3, 'nt': [18, 13], 'qdim': 6, 'qvalues': [6, 6, 6, 0, 0, 6, 6, -3, -3, -3, 6, 6, 6, 0, 0, 6, 6, -3, -3, 6, 6, -3, -3, -3, -3, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, -3, 6, -3, -3, 6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, -3, 6, -3, -3, 6, -3, -3, -3, -3, -3, -3, -3, -3, 6, -3, 6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525022
    {'cdim': 1, 'counter': 29, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1ac', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, -4, -4, 8, -4, -4, -8, -8, 8, 8, 8, -4, -4, 8, -4, 4, 4, -4, -8, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 8, 8, 8, -4, -4, -4, 4, 4, 4, 4, 4, -4, -8, 4, -4, -8, 4, 4, 8, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 8, -4, 8, 8, -4, -4, 4, 4, 4, -8, 4, -8, 4, -8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 4, 4, 4, 4, 4, 4, 4, -8, 4, 4, -8, -8, 4, -8, 4, -4, -4, -4, -4, 8, 8, -4, 8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525024
    {'cdim': 1, 'counter': 30, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1ad', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, -8, 8, 8, -4, -4, 8, -4, -4, -8, -8, 8, -8, -8, -4, -4, 8, -4, 4, 4, -4, -8, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 8, 8, 8, -4, -4, -4, 4, 4, 4, 4, 4, -4, -8, 4, -4, -8, 4, 4, 8, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 8, -4, 8, 8, -4, -4, 4, 4, 4, -8, 4, -8, 4, -8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 4, 4, 4, 4, 4, 4, 4, -8, 4, 4, -8, -8, 4, -8, 4, -4, -4, -4, -4, 8, 8, -4, 8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525025
    {'cdim': 1, 'counter': 31, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1ae', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, 8, -8, 8, -4, -4, 8, -4, -4, -8, -8, -8, 8, -8, -4, -4, 8, -4, -4, -4, -4, 8, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 8, 8, 8, -4, -4, -4, 4, 4, 4, 4, 4, 4, -8, 4, 4, -8, 4, 4, -8, 4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 8, -4, 8, 8, -4, -4, -4, -4, -4, 8, -4, 8, -4, 8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 4, 4, 4, 4, 4, 4, 4, -8, 4, 4, -8, -8, 4, -8, 4, 4, 4, 4, 4, -8, -8, 4, -8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525026
    {'cdim': 1, 'counter': 32, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.1af', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -4, -4, 8, -4, -4, -8, -8, -8, -8, 8, -4, -4, 8, -4, -4, -4, -4, 8, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 8, 8, 8, -4, -4, -4, 4, 4, 4, 4, 4, 4, -8, 4, 4, -8, 4, 4, -8, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 8, -4, 8, 8, -4, -4, -4, -4, -4, 8, -4, 8, -4, 8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 4, 4, 4, 4, 4, 4, 4, -8, 4, 4, -8, -8, 4, -8, 4, 4, 4, 4, 4, -8, -8, 4, -8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525042
    {'cdim': 2, 'counter': 47, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2o', 'multiplicity': 4, 'nt': [24, 32], 'qdim': 8, 'qvalues': [8, 8, -8, 0, 0, 8, 8, 8, 8, 8, -8, -8, 8, 0, 0, 8, 8, 8, 8, -8, -8, 8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -8, -8, -8, -8, -8, 8, -8, -8, 8, -8, -8, -8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525043
    {'cdim': 2, 'counter': 48, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2p', 'multiplicity': 4, 'nt': [24, 32], 'qdim': 8, 'qvalues': [8, 8, 8, 0, 0, 8, 8, 8, 8, 8, -8, -8, -8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525044
    {'cdim': 2, 'counter': 49, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2q', 'multiplicity': 4, 'nt': [24, 65], 'qdim': 8, 'qvalues': [8, 8, -8, 0, 0, -4, -4, 8, -4, -4, 8, 8, -8, 0, 0, -4, -4, 8, -4, 4, 4, -4, -8, 4, 4, 0, 0, 0, 0, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 2, 2, 2, -4, -4, -4, 2, 2, 2, -4, -4, -4, -4, -4, 4, 8, -4, 4, 8, -4, -4, -8, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -4, 2, -4, -4, 2, 2, -2, -2, -2, 4, -2, 4, -2, 4, -2, 4, 4, 4, 4, 4, 4, 4, 4, -8, -4, -8, 4, -4, -8, 4, 4, -8, 4, 4, 4, 4, -4, 4, -4, -4, 8, 8, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, -4, 2, 2, -4, -4, 2, -4, 2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, -2, 4, -2, -2, 4, 4, -2, -2, -2, 4, 4, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, -2, -2, -2, -2, 4, 4, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, -4, 2, -4, -4, -4, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525046
    {'cdim': 2, 'counter': 50, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2r', 'multiplicity': 4, 'nt': [24, 65], 'qdim': 8, 'qvalues': [8, 8, 8, 0, 0, -4, -4, 8, -4, -4, 8, 8, 8, 0, 0, -4, -4, 8, -4, -4, -4, -4, 8, -4, -4, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 2, 2, 2, -4, -4, -4, 2, 2, 2, -4, -4, -4, -4, -4, -4, 8, -4, -4, 8, -4, -4, 8, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -4, 2, -4, -4, 2, 2, 2, 2, 2, -4, 2, -4, 2, -4, 2, 4, 4, 4, 4, 4, 4, 4, 4, -8, 4, -8, 4, 4, -8, 4, 4, -8, 4, 4, 4, 4, 4, 4, 4, 4, -8, -8, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, -4, 2, 2, -4, -4, 2, -4, 2, 2, 2, 2, 2, -4, -4, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, -2, 4, -2, -2, 4, 4, -2, -2, -2, 4, 4, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, -2, -2, -2, -2, 4, 4, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, 4, -2, 4, 4, 4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525047
    {'cdim': 2, 'counter': 51, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2s', 'multiplicity': 6, 'nt': [18, 19], 'qdim': 12, 'qvalues': [12, 12, 12, 0, 0, -6, -6, -6, 3, 3, 12, 12, 12, 0, 0, -6, -6, -6, 3, -6, -6, 3, -6, 3, 3, 0, 0, 0, 0, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, 3, -6, -6, 3, -6, -6, 3, 3, -6, 3, 3, 0, 0, 0, 0, 12, 12, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 3, -6, -6, 3, 3, -6, 3, 3, 3, 3, -6, 3, -6, 3, -6, -6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 3, 3, 3, 3, -6, 3, -6, -6, 3, 3, -6, 3, 3, -6, 3, 3, 3, 3, 3, -6, 3, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525048
    {'cdim': 2, 'counter': 52, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2t', 'multiplicity': 6, 'nt': [36, 45], 'qdim': 12, 'qvalues': [12, 12, -12, 0, 0, 12, 12, -6, -6, -6, 12, 12, -12, 0, 0, 12, 12, -6, -6, -12, -12, -6, 6, 6, 6, 0, 0, 0, 0, -12, -12, -12, -12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 12, -6, -12, -6, -6, -12, -6, -6, -6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -12, -12, -12, -12, -12, -12, -12, 6, 12, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 12, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525049
    {'cdim': 2, 'counter': 53, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2u', 'multiplicity': 6, 'nt': [36, 45], 'qdim': 12, 'qvalues': [12, 12, 12, 0, 0, 12, 12, -6, -6, -6, 12, 12, 12, 0, 0, 12, 12, -6, -6, 12, 12, -6, -6, -6, -6, 0, 0, 0, 0, -12, -12, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 12, -6, 12, -6, -6, 12, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -12, -12, -12, -12, -12, -12, -12, 6, -12, 6, 6, -12, 6, 6, 6, 6, 6, 6, 6, 6, -12, 6, -12, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525050
    {'cdim': 2, 'counter': 54, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2v', 'multiplicity': 6, 'nt': [36, 69], 'qdim': 12, 'qvalues': [12, 12, -12, 0, 0, -6, -6, -6, 3, 3, 12, 12, -12, 0, 0, -6, -6, -6, 3, 6, 6, 3, 6, -3, -3, 0, 0, 0, 0, 12, 12, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, 3, 6, -6, 3, 6, -6, 3, 3, 6, -3, -3, 0, 0, 0, 0, -12, -12, -12, -12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, 6, -6, 3, 6, -6, 3, 3, -6, 3, 3, 3, 3, 6, 3, 6, -3, 6, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, 6, -6, 6, 6, 6, -6, -6, 6, -6, -6, -6, 6, 6, -3, 3, 3, 3, -6, -3, -6, -6, 3, -3, 6, -3, -3, 6, -3, 3, -3, -3, 3, 6, 3, 6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525051
    {'cdim': 2, 'counter': 55, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2w', 'multiplicity': 6, 'nt': [36, 69], 'qdim': 12, 'qvalues': [12, 12, -12, 0, 0, -6, -6, -6, 3, 3, 12, 12, -12, 0, 0, -6, -6, -6, 3, 6, 6, 3, 6, -3, -3, 0, 0, 0, 0, 12, 12, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, 3, 6, -6, 3, 6, -6, 3, 3, 6, -3, -3, 0, 0, 0, 0, 12, 12, 12, 12, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, 6, -6, 3, 6, -6, 3, 3, -6, 3, 3, 3, 3, 6, 3, 6, -3, 6, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, 6, -6, 6, -6, -6, -6, 6, 6, -6, 6, 6, 6, -6, -6, 3, -3, -3, -3, 6, 3, 6, 6, -3, 3, -6, 3, 3, -6, 3, -3, 3, 3, -3, -6, -3, -6, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525052
    {'cdim': 2, 'counter': 56, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2x', 'multiplicity': 6, 'nt': [36, 69], 'qdim': 12, 'qvalues': [12, 12, 12, 0, 0, -6, -6, -6, 3, 3, 12, 12, 12, 0, 0, -6, -6, -6, 3, -6, -6, 3, -6, 3, 3, 0, 0, 0, 0, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, 3, -6, -6, 3, -6, -6, 3, 3, -6, 3, 3, 0, 0, 0, 0, -12, -12, -12, -12, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 3, -6, -6, 3, 3, -6, 3, 3, 3, 3, -6, 3, -6, 3, -6, -6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, 6, -3, 6, 6, -3, -3, 6, -3, -3, 6, -3, -3, -3, -3, -3, 6, -3, 6, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525053
    {'cdim': 2, 'counter': 57, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2y', 'multiplicity': 8, 'nt': [32, 382], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, -16, -16, -16, -16, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, -16, -16, -16, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525054
    {'cdim': 2, 'counter': 58, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2z', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, 16, -16, 0, 0, -8, -8, 16, -8, -8, -16, -16, 16, 0, 0, -8, -8, 16, -8, 8, 8, -8, -16, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -8, -8, -8, 4, 4, 4, 8, 8, 8, 8, 8, -8, -16, 8, -8, -16, 8, 8, 16, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -8, 4, -8, -8, 4, 4, -4, -4, -4, 8, -4, 8, -4, 8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -4, -4, -4, -4, -4, -4, -4, -4, 8, -4, -4, 8, 8, -4, 8, -4, 4, 4, 4, 4, -8, -8, 4, -8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525055
    {'cdim': 2, 'counter': 59, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2aa', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, 16, 16, 0, 0, -8, -8, 16, -8, -8, -16, -16, -16, 0, 0, -8, -8, 16, -8, -8, -8, -8, 16, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -8, -8, -8, 4, 4, 4, 8, 8, 8, 8, 8, 8, -16, 8, 8, -16, 8, 8, -16, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -8, 4, -8, -8, 4, 4, 4, 4, 4, -8, 4, -8, 4, -8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -4, -4, -4, -4, -4, -4, -4, -4, 8, -4, -4, 8, 8, -4, 8, -4, -4, -4, -4, -4, 8, 8, -4, 8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525064
    {'cdim': 4, 'counter': 67, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.4a', 'multiplicity': 4, 'nt': [96, 0], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, -16, -16, -16, -16, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 11525057
    {'cdim': 2, 'counter': 60, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2ab', 'multiplicity': 12, 'nt': [72, 0], 'qdim': 24, 'qvalues': [24, 24, -24, 0, 0, -12, -12, -12, 6, 6, 24, 24, -24, 0, 0, -12, -12, -12, 6, 12, 12, 6, 12, -6, -6, 0, 0, 0, 0, -24, -24, -24, -24, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -12, -12, -12, 6, 12, -12, 6, 12, -12, 6, 6, 12, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 12, 12, 12, 12, 12, 12, -12, 12, -6, -12, 12, -6, -6, 12, -6, -6, -6, -6, -12, -6, -12, 6, -12, -12, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525058
    {'cdim': 2, 'counter': 61, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2ac', 'multiplicity': 12, 'nt': [72, 0], 'qdim': 24, 'qvalues': [24, 24, -24, 0, 0, 24, 24, -12, -12, -12, -24, -24, 24, 0, 0, 24, 24, -12, -12, -24, -24, -12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, -24, -24, 12, 24, 12, 12, 24, 12, 12, 12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525059
    {'cdim': 2, 'counter': 62, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2ad', 'multiplicity': 12, 'nt': [72, 0], 'qdim': 24, 'qvalues': [24, 24, 24, 0, 0, -12, -12, -12, 6, 6, 24, 24, 24, 0, 0, -12, -12, -12, 6, -12, -12, 6, -12, 6, 6, 0, 0, 0, 0, -24, -24, -24, -24, -24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -12, -12, -12, 6, -12, -12, 6, -12, -12, 6, 6, -12, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, -6, 12, 12, -6, -6, 12, -6, -6, -6, -6, 12, -6, 12, -6, 12, 12, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525060
    {'cdim': 2, 'counter': 63, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2ae', 'multiplicity': 12, 'nt': [72, 0], 'qdim': 24, 'qvalues': [24, 24, 24, 0, 0, 24, 24, -12, -12, -12, -24, -24, -24, 0, 0, 24, 24, -12, -12, 24, 24, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, -24, -24, 12, -24, 12, 12, -24, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525061
    {'cdim': 2, 'counter': 64, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2af', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, -16, -16, 32, -16, -16, 0, 0, 0, 0, 0, 16, 16, -32, 16, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, -16, 32, 32, 32, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, -32, 16, -32, -32, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525065
    {'cdim': 4, 'counter': 68, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.4b', 'multiplicity': 8, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, -16, -16, 32, -16, -16, 0, 0, 0, 0, 0, 16, 16, -32, 16, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, -16, -16, -16, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 16, -8, 16, 16, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525062
    {'cdim': 2, 'counter': 65, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2ag', 'multiplicity': 24, 'nt': [144, 0], 'qdim': 48, 'qvalues': [48, 48, -48, 0, 0, -24, -24, -24, 12, 12, -48, -48, 48, 0, 0, -24, -24, -24, 12, 24, 24, 12, 24, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 24, 24, -12, -24, 24, -12, -24, 24, -12, -12, -24, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525063
    {'cdim': 2, 'counter': 66, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.2ah', 'multiplicity': 24, 'nt': [144, 0], 'qdim': 48, 'qvalues': [48, 48, 48, 0, 0, -24, -24, -24, 12, 12, -48, -48, -48, 0, 0, -24, -24, -24, 12, -24, -24, 12, -24, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 24, 24, -12, 24, 24, -12, 24, 24, -12, -12, 24, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 11525066
    {'cdim': 4, 'counter': 69, 'faithful': False, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.4c', 'multiplicity': 12, 'nt': [288, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 0, 0, 48, 48, -24, -24, -24, 0, 0, 0, 0, 0, -48, -48, 24, 24, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 11525068
    {'cdim': 4, 'counter': 70, 'faithful': True, 'group': '1728.8372', 'group_order': 1728, 'image': None, 'label': '1728.8372.4d', 'multiplicity': 24, 'nt': [288, 0], 'qdim': 96, 'qvalues': [96, -96, 0, 0, 0, -48, -48, -48, 24, 24, 0, 0, 0, 0, 0, 48, 48, 48, -24, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

  Column	Type
  center	text
  center_index	numeric
  center_order	numeric
  counter	smallint
  cyclotomic_n	integer
  dim	integer
  faithful	boolean
  field	numeric[]
  group	text
  group_counter	integer
  group_order	numeric
  image	text
  image_isoclass	text
  image_order	numeric
  indicator	smallint
  kernel	text
  kernel_order	numeric
  label	text
  nt	integer[]
  q_character	text
  values	jsonb

  
  
  • id: 25192588
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1728, 'label': '1728.8372.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 25192901
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 57, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.a1', 'kernel_order': 144, 'label': '1728.8372.1aa1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]]]}
  • id: 25192902
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 58, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.a1', 'kernel_order': 144, 'label': '1728.8372.1aa2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]]]}
  • id: 25192903
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 59, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.a1', 'kernel_order': 144, 'label': '1728.8372.1aa3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 5]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]]]}
  • id: 25192905
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 60, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.a1', 'kernel_order': 144, 'label': '1728.8372.1aa4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]]]}
  • id: 25192906
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 61, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 144, 'label': '1728.8372.1ab1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]]]}
  • id: 25192907
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 62, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 144, 'label': '1728.8372.1ab2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]]]}
  • id: 25192908
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 63, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 144, 'label': '1728.8372.1ab3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 5]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]]]}
  • id: 25192909
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 64, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 144, 'label': '1728.8372.1ab4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 3]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]]]}
  • id: 25192910
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 65, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.k1.a1', 'kernel_order': 72, 'label': '1728.8372.1ac1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 10]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 11]], [[1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[1, 5]], [[-1, 9]], [[1, 11]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 5]], [[1, 9]], [[-1, 11]], [[1, 3]], [[-1, 3]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 7]], [[1, 1]], [[-1, 11]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 3]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 11]], [[-1, 3]], [[1, 5]], [[1, 11]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 11]], [[1, 9]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[1, 9]], [[1, 1]], [[-1, 11]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 9]], [[-1, 3]], [[1, 7]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 11]], [[1, 1]], [[-1, 9]], [[1, 1]]]}
  • id: 25192911
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 66, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.k1.a1', 'kernel_order': 72, 'label': '1728.8372.1ac2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[1, 6]], [[-1, 10]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 9]], [[1, 5]], [[-1, 3]], [[1, 3]], [[1, 7]], [[1, 7]], [[1, 9]], [[-1, 11]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[1, 5]], [[1, 7]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 3]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 3]], [[-1, 11]], [[1, 1]], [[1, 5]], [[-1, 9]], [[1, 5]], [[1, 3]], [[1, 11]], [[1, 11]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 9]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 7]], [[1, 7]], [[-1, 5]], [[1, 9]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[1, 3]], [[-1, 11]]]}
  • id: 25192912
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 67, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.k1.a1', 'kernel_order': 72, 'label': '1728.8372.1ac3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 10]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 11]], [[-1, 11]], [[1, 7]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[1, 7]], [[1, 11]], [[1, 11]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 3]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 5]], [[1, 5]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[1, 9]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 9]], [[1, 11]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 7]], [[1, 11]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[1, 7]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 9]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[1, 3]], [[-1, 5]], [[-1, 11]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[1, 11]], [[1, 5]], [[-1, 9]], [[-1, 1]], [[1, 11]], [[1, 7]], [[-1, 3]], [[1, 7]], [[1, 9]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 7]], [[1, 7]], [[1, 9]], [[1, 3]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 3]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[-1, 1]]]}
  • id: 25192913
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 68, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.k1.a1', 'kernel_order': 72, 'label': '1728.8372.1ac4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[1, 6]], [[-1, 10]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 11]], [[1, 5]], [[-1, 11]], [[1, 11]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 9]], [[-1, 5]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 9]], [[1, 11]], [[1, 7]], [[-1, 3]], [[1, 1]], [[1, 11]], [[-1, 11]], [[1, 5]], [[1, 7]], [[1, 3]], [[-1, 1]], [[1, 9]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 5]], [[1, 1]], [[1, 11]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[1, 7]], [[1, 5]], [[1, 11]], [[1, 5]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 1]], [[-1, 9]], [[1, 7]], [[1, 1]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[1, 11]], [[-1, 1]], [[-1, 5]], [[1, 9]], [[-1, 5]], [[-1, 3]], [[-1, 11]], [[-1, 11]], [[1, 9]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 9]], [[1, 5]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 11]], [[-1, 3]], [[1, 11]]]}
  • id: 25192914
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 69, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.k1.a1', 'kernel_order': 72, 'label': '1728.8372.1ac5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[1, 6]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 11]], [[1, 11]], [[1, 7]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 11]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[-1, 11]], [[1, 9]], [[1, 7]], [[1, 11]], [[1, 3]], [[1, 5]], [[1, 7]], [[-1, 7]], [[1, 1]], [[1, 11]], [[-1, 3]], [[-1, 5]], [[-1, 9]], [[1, 9]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[1, 5]], [[-1, 7]], [[1, 3]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 1]], [[-1, 9]], [[-1, 5]], [[1, 11]], [[1, 11]], [[1, 5]], [[1, 9]], [[1, 11]], [[1, 5]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 3]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 9]], [[1, 1]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 9]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 5]], [[1, 7]], [[1, 3]], [[1, 7]]]}
  • id: 25192916
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 70, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.k1.a1', 'kernel_order': 72, 'label': '1728.8372.1ac6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[1, 11]], [[1, 7]], [[1, 7]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 3]], [[1, 11]], [[1, 9]], [[-1, 9]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[1, 7]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 1]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 7]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[-1, 5]], [[1, 7]], [[1, 11]], [[1, 3]], [[1, 11]], [[-1, 9]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 11]], [[1, 11]], [[-1, 9]], [[-1, 3]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 9]], [[-1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 5]]]}
  • id: 25192917
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 71, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.k1.a1', 'kernel_order': 72, 'label': '1728.8372.1ac7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[1, 6]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 11]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 11]], [[1, 11]], [[-1, 9]], [[-1, 7]], [[-1, 11]], [[-1, 3]], [[-1, 5]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[1, 3]], [[1, 5]], [[1, 9]], [[-1, 9]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 11]], [[1, 3]], [[-1, 7]], [[1, 5]], [[1, 1]], [[1, 9]], [[1, 1]], [[-1, 3]], [[1, 7]], [[1, 7]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 11]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 3]], [[-1, 7]]]}
  • id: 25192918
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 72, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.k1.a1', 'kernel_order': 72, 'label': '1728.8372.1ac8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 7]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 11]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 3]], [[-1, 11]], [[-1, 9]], [[1, 9]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 9]], [[1, 7]], [[1, 5]], [[-1, 5]], [[1, 11]], [[1, 1]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 5]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 9]], [[1, 7]], [[-1, 5]], [[1, 9]], [[1, 1]], [[1, 11]], [[1, 5]], [[1, 11]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 3]], [[1, 1]], [[1, 7]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 3]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 11]], [[-1, 11]], [[1, 9]], [[1, 3]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[1, 3]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[1, 7]], [[1, 5]], [[1, 9]], [[1, 5]]]}
  • id: 25192919
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 73, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1.a1', 'kernel_order': 72, 'label': '1728.8372.1ad1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 10]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 11]], [[1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[1, 5]], [[-1, 9]], [[1, 11]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 5]], [[1, 9]], [[-1, 11]], [[1, 3]], [[-1, 3]], [[1, 11]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 7]], [[1, 11]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[1, 7]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 3]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 11]], [[-1, 3]], [[1, 5]], [[1, 11]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 11]], [[1, 9]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[1, 9]], [[1, 1]], [[-1, 11]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 9]], [[-1, 3]], [[1, 7]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 11]], [[1, 1]], [[-1, 9]], [[1, 1]]]}
  • id: 25192920
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 74, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1.a1', 'kernel_order': 72, 'label': '1728.8372.1ad2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[1, 6]], [[-1, 10]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 9]], [[1, 5]], [[-1, 3]], [[1, 3]], [[1, 7]], [[1, 7]], [[1, 9]], [[-1, 11]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 5]], [[1, 1]], [[1, 11]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 3]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 3]], [[-1, 11]], [[1, 1]], [[1, 5]], [[-1, 9]], [[1, 5]], [[1, 3]], [[1, 11]], [[1, 11]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 9]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 7]], [[1, 7]], [[-1, 5]], [[1, 9]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[1, 3]], [[-1, 11]]]}
  • id: 25192921
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 75, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1.a1', 'kernel_order': 72, 'label': '1728.8372.1ad3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 10]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 11]], [[-1, 11]], [[1, 7]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[1, 7]], [[1, 11]], [[1, 11]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 3]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 5]], [[1, 5]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[1, 9]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 9]], [[1, 11]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 7]], [[1, 1]], [[-1, 11]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 9]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[1, 3]], [[-1, 5]], [[-1, 11]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[1, 11]], [[1, 5]], [[-1, 9]], [[-1, 1]], [[1, 11]], [[1, 7]], [[-1, 3]], [[1, 7]], [[1, 9]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 7]], [[1, 7]], [[1, 9]], [[1, 3]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 3]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[-1, 1]]]}
  • id: 25192922
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 76, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1.a1', 'kernel_order': 72, 'label': '1728.8372.1ad4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[1, 6]], [[-1, 10]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 11]], [[1, 5]], [[-1, 11]], [[1, 11]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 9]], [[-1, 5]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 9]], [[1, 11]], [[1, 7]], [[-1, 3]], [[1, 1]], [[1, 11]], [[-1, 11]], [[1, 5]], [[1, 7]], [[1, 3]], [[-1, 1]], [[1, 9]], [[-1, 9]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[1, 5]], [[1, 7]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[1, 7]], [[1, 5]], [[1, 11]], [[1, 5]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 1]], [[-1, 9]], [[1, 7]], [[1, 1]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[1, 11]], [[-1, 1]], [[-1, 5]], [[1, 9]], [[-1, 5]], [[-1, 3]], [[-1, 11]], [[-1, 11]], [[1, 9]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 9]], [[1, 5]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 11]], [[-1, 3]], [[1, 11]]]}
  • id: 25192923
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 77, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1.a1', 'kernel_order': 72, 'label': '1728.8372.1ad5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[1, 6]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 11]], [[1, 11]], [[1, 7]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 11]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[-1, 11]], [[1, 9]], [[1, 7]], [[1, 11]], [[1, 3]], [[1, 5]], [[1, 7]], [[-1, 7]], [[1, 1]], [[1, 11]], [[-1, 3]], [[-1, 5]], [[-1, 9]], [[1, 9]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[1, 5]], [[-1, 7]], [[1, 3]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 1]], [[-1, 9]], [[-1, 5]], [[1, 11]], [[1, 11]], [[1, 5]], [[1, 9]], [[1, 11]], [[1, 5]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 3]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 9]], [[1, 1]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 9]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 5]], [[1, 7]], [[1, 3]], [[1, 7]]]}
  • id: 25192924
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 78, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1.a1', 'kernel_order': 72, 'label': '1728.8372.1ad6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[1, 11]], [[1, 7]], [[1, 7]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 3]], [[1, 11]], [[1, 9]], [[-1, 9]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[1, 7]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 5]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 7]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[-1, 5]], [[1, 7]], [[1, 11]], [[1, 3]], [[1, 11]], [[-1, 9]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 11]], [[1, 11]], [[-1, 9]], [[-1, 3]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 9]], [[-1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 5]]]}
  • id: 25192925
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 79, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1.a1', 'kernel_order': 72, 'label': '1728.8372.1ad7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[1, 6]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 11]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 11]], [[1, 11]], [[-1, 9]], [[-1, 7]], [[-1, 11]], [[-1, 3]], [[-1, 5]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[1, 3]], [[1, 5]], [[1, 9]], [[-1, 9]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 11]], [[1, 3]], [[-1, 7]], [[1, 5]], [[1, 1]], [[1, 9]], [[1, 1]], [[-1, 3]], [[1, 7]], [[1, 7]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 11]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 3]], [[-1, 7]]]}
  • id: 25192927
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 80, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1.a1', 'kernel_order': 72, 'label': '1728.8372.1ad8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 7]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 11]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 3]], [[-1, 11]], [[-1, 9]], [[1, 9]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 9]], [[1, 7]], [[1, 5]], [[-1, 5]], [[1, 11]], [[1, 1]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[1, 3]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 1]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 9]], [[1, 7]], [[-1, 5]], [[1, 9]], [[1, 1]], [[1, 11]], [[1, 5]], [[1, 11]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 3]], [[1, 1]], [[1, 7]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 3]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 11]], [[-1, 11]], [[1, 9]], [[1, 3]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[1, 3]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[1, 7]], [[1, 5]], [[1, 9]], [[1, 5]]]}
  • id: 25192928
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 81, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 72, 'label': '1728.8372.1ae1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[1, 11]], [[-1, 11]], [[1, 7]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 7]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 9]], [[1, 9]], [[1, 5]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[1, 5]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[1, 9]], [[1, 11]], [[1, 3]], [[1, 3]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 11]], [[-1, 5]], [[1, 7]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[1, 9]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 11]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[1, 3]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 11]], [[1, 9]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 3]], [[1, 7]], [[-1, 9]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[1, 7]], [[-1, 9]], [[1, 3]], [[1, 7]], [[1, 5]], [[-1, 11]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 7]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[1, 9]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[1, 9]], [[-1, 1]]]}
  • id: 25192929
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 82, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 72, 'label': '1728.8372.1ae2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 6]], [[-1, 10]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 9]], [[1, 5]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[1, 7]], [[1, 9]], [[-1, 11]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 11]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 9]], [[-1, 9]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[-1, 3]], [[-1, 1]], [[1, 11]], [[1, 3]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[1, 9]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 1]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[1, 11]], [[1, 1]], [[1, 5]], [[1, 9]], [[-1, 5]], [[1, 3]], [[-1, 11]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 9]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[1, 9]], [[-1, 11]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 9]], [[1, 9]], [[-1, 7]], [[-1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 5]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 11]], [[-1, 3]], [[1, 11]]]}
  • id: 25192930
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 83, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 72, 'label': '1728.8372.1ae3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 11]], [[1, 7]], [[1, 7]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[1, 7]], [[1, 9]], [[-1, 9]], [[-1, 5]], [[1, 5]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[-1, 11]], [[-1, 3]], [[-1, 3]], [[1, 11]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 7]], [[1, 11]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 7]], [[1, 1]], [[-1, 11]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 9]], [[-1, 11]], [[1, 1]], [[1, 9]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[1, 3]], [[1, 11]], [[1, 5]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[-1, 5]], [[1, 11]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 11]], [[-1, 9]], [[1, 7]], [[1, 5]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 1]], [[1, 11]], [[1, 7]], [[1, 3]], [[-1, 7]], [[1, 9]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 7]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 7]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 11]], [[1, 5]], [[1, 7]], [[-1, 9]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 9]], [[1, 1]]]}
  • id: 25192931
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 84, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 72, 'label': '1728.8372.1ae4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 6]], [[-1, 10]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 11]], [[1, 5]], [[1, 11]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 9]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[1, 7]], [[-1, 7]], [[-1, 9]], [[1, 11]], [[1, 7]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[1, 3]], [[1, 1]], [[1, 9]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 5]], [[1, 1]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 5]], [[1, 7]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 3]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[-1, 7]], [[1, 5]], [[1, 11]], [[-1, 5]], [[-1, 9]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[1, 3]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[-1, 9]], [[1, 5]], [[-1, 3]], [[1, 11]], [[1, 11]], [[1, 9]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 9]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 11]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 11]], [[1, 9]], [[-1, 9]], [[1, 7]], [[1, 7]], [[1, 5]], [[1, 9]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 3]], [[-1, 11]]]}
  • id: 25192932
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 85, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 72, 'label': '1728.8372.1ae5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 6]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 11]], [[1, 11]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 11]], [[-1, 11]], [[1, 9]], [[1, 7]], [[1, 11]], [[1, 3]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[1, 5]], [[-1, 9]], [[-1, 9]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 5]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[-1, 3]], [[1, 5]], [[-1, 7]], [[1, 3]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 9]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[1, 9]], [[1, 1]], [[1, 3]], [[1, 7]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 9]], [[1, 1]], [[1, 11]], [[-1, 5]], [[1, 7]], [[1, 9]], [[1, 7]], [[-1, 5]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 11]], [[1, 11]], [[1, 1]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[-1, 3]], [[-1, 7]]]}
  • id: 25192933
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 86, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 72, 'label': '1728.8372.1ae6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 2]], [[1, 10]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 7]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 7]], [[1, 11]], [[1, 11]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 3]], [[1, 11]], [[-1, 9]], [[1, 9]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[1, 5]], [[-1, 11]], [[1, 1]], [[1, 9]], [[-1, 7]], [[1, 3]], [[1, 3]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[1, 9]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[-1, 3]], [[1, 7]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 5]], [[1, 7]], [[1, 11]], [[-1, 3]], [[-1, 11]], [[-1, 9]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 11]], [[-1, 11]], [[-1, 9]], [[1, 3]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 11]], [[1, 3]], [[-1, 11]], [[1, 5]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 9]], [[1, 11]], [[-1, 7]], [[1, 5]], [[1, 9]], [[1, 5]]]}
  • id: 25192934
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 87, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 72, 'label': '1728.8372.1ae7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 6]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 11]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[1, 11]], [[-1, 9]], [[-1, 7]], [[-1, 11]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[1, 7]], [[-1, 1]], [[1, 11]], [[1, 3]], [[-1, 5]], [[1, 9]], [[1, 9]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 3]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[1, 5]], [[1, 11]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 11]], [[-1, 5]], [[1, 11]], [[1, 3]], [[1, 7]], [[1, 5]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 11]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 7]], [[1, 3]], [[1, 7]]]}
  • id: 25192935
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 88, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 72, 'label': '1728.8372.1ae8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 2]], [[1, 10]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 7]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 11]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 3]], [[-1, 11]], [[1, 9]], [[-1, 9]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[1, 7]], [[-1, 3]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 9]], [[1, 7]], [[-1, 5]], [[1, 9]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 11]], [[1, 3]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 7]], [[-1, 9]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[1, 3]], [[1, 11]], [[1, 9]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 11]], [[1, 11]], [[1, 9]], [[-1, 3]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 7]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 11]], [[-1, 3]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 11]], [[1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 5]]]}
  • id: 25192936
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 89, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 72, 'label': '1728.8372.1af1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[1, 11]], [[-1, 11]], [[1, 7]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 7]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 9]], [[1, 9]], [[1, 5]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[1, 5]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[1, 9]], [[1, 11]], [[1, 3]], [[1, 3]], [[-1, 11]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 7]], [[1, 11]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 7]], [[1, 1]], [[-1, 11]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[1, 9]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 11]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[1, 3]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 11]], [[1, 9]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 3]], [[1, 7]], [[-1, 9]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[1, 7]], [[-1, 9]], [[1, 3]], [[1, 7]], [[1, 5]], [[-1, 11]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 7]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[1, 9]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[1, 9]], [[-1, 1]]]}
  • id: 25192938
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 90, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 72, 'label': '1728.8372.1af2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 6]], [[-1, 10]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 9]], [[1, 5]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[1, 7]], [[1, 9]], [[-1, 11]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 11]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 9]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 5]], [[1, 1]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 5]], [[1, 7]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[-1, 3]], [[-1, 1]], [[1, 11]], [[1, 3]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[1, 9]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 1]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[1, 11]], [[1, 1]], [[1, 5]], [[1, 9]], [[-1, 5]], [[1, 3]], [[-1, 11]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 9]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[1, 9]], [[-1, 11]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 9]], [[1, 9]], [[-1, 7]], [[-1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 5]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 11]], [[-1, 3]], [[1, 11]]]}
  • id: 25192939
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 91, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 72, 'label': '1728.8372.1af3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 11]], [[1, 7]], [[1, 7]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[1, 7]], [[1, 9]], [[-1, 9]], [[-1, 5]], [[1, 5]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[-1, 11]], [[-1, 3]], [[-1, 3]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 11]], [[-1, 5]], [[1, 7]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 9]], [[-1, 11]], [[1, 1]], [[1, 9]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[1, 3]], [[1, 11]], [[1, 5]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[-1, 5]], [[1, 11]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 11]], [[-1, 9]], [[1, 7]], [[1, 5]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 1]], [[1, 11]], [[1, 7]], [[1, 3]], [[-1, 7]], [[1, 9]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 7]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 7]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 11]], [[1, 5]], [[1, 7]], [[-1, 9]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 9]], [[1, 1]]]}
  • id: 25192940
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 92, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 72, 'label': '1728.8372.1af4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 6]], [[-1, 10]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 11]], [[1, 5]], [[1, 11]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 9]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[1, 7]], [[-1, 7]], [[-1, 9]], [[1, 11]], [[1, 7]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[1, 3]], [[1, 1]], [[1, 9]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 3]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[-1, 7]], [[1, 5]], [[1, 11]], [[-1, 5]], [[-1, 9]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[1, 3]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[-1, 9]], [[1, 5]], [[-1, 3]], [[1, 11]], [[1, 11]], [[1, 9]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 9]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 11]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 11]], [[1, 9]], [[-1, 9]], [[1, 7]], [[1, 7]], [[1, 5]], [[1, 9]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 3]], [[-1, 11]]]}
  • id: 25192941
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 93, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 72, 'label': '1728.8372.1af5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 6]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 11]], [[1, 11]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 11]], [[-1, 11]], [[1, 9]], [[1, 7]], [[1, 11]], [[1, 3]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[1, 5]], [[-1, 9]], [[-1, 9]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[-1, 3]], [[1, 5]], [[-1, 7]], [[1, 3]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 9]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[1, 9]], [[1, 1]], [[1, 3]], [[1, 7]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 9]], [[1, 1]], [[1, 11]], [[-1, 5]], [[1, 7]], [[1, 9]], [[1, 7]], [[-1, 5]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 11]], [[1, 11]], [[1, 1]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[-1, 3]], [[-1, 7]]]}
  • id: 25192942
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 94, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 72, 'label': '1728.8372.1af6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 2]], [[1, 10]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 7]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 7]], [[1, 11]], [[1, 11]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 3]], [[1, 11]], [[-1, 9]], [[1, 9]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[1, 5]], [[-1, 11]], [[1, 1]], [[1, 9]], [[-1, 7]], [[1, 3]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[1, 9]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[-1, 3]], [[1, 7]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 5]], [[1, 7]], [[1, 11]], [[-1, 3]], [[-1, 11]], [[-1, 9]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 11]], [[-1, 11]], [[-1, 9]], [[1, 3]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 11]], [[1, 3]], [[-1, 11]], [[1, 5]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 9]], [[1, 11]], [[-1, 7]], [[1, 5]], [[1, 9]], [[1, 5]]]}
  • id: 25192943
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 95, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 72, 'label': '1728.8372.1af7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 6]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 11]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[1, 11]], [[-1, 9]], [[-1, 7]], [[-1, 11]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[1, 7]], [[-1, 1]], [[1, 11]], [[1, 3]], [[-1, 5]], [[1, 9]], [[1, 9]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 5]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 3]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[1, 5]], [[1, 11]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 11]], [[-1, 5]], [[1, 11]], [[1, 3]], [[1, 7]], [[1, 5]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 11]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 7]], [[1, 3]], [[1, 7]]]}
  • id: 25192944
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 96, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 72, 'label': '1728.8372.1af8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 2]], [[1, 10]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 7]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 11]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 3]], [[-1, 11]], [[1, 9]], [[-1, 9]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[1, 7]], [[-1, 3]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 9]], [[1, 7]], [[-1, 5]], [[1, 9]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 11]], [[1, 3]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 7]], [[-1, 9]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[1, 3]], [[1, 11]], [[1, 9]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 11]], [[1, 11]], [[1, 9]], [[-1, 3]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 7]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 11]], [[-1, 3]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 11]], [[1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 5]]]}
  • id: 25192699
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.b1', 'kernel_order': 864, 'label': '1728.8372.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 25192810
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.b1', 'kernel_order': 864, 'label': '1728.8372.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 25192882
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 864, 'label': '1728.8372.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 25192893
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 864, 'label': '1728.8372.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 25192904
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 864, 'label': '1728.8372.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 25192915
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 864, 'label': '1728.8372.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 25192926
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 864, 'label': '1728.8372.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 25192937
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 9, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 576, 'label': '1728.8372.1i1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]]]}
  • id: 25192589
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 10, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 576, 'label': '1728.8372.1i2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]]]}
  • id: 25192600
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 11, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.e1.b1', 'kernel_order': 432, 'label': '1728.8372.1j1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 25192611
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 12, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.e1.b1', 'kernel_order': 432, 'label': '1728.8372.1j2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 25192622
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 13, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.e1.a1', 'kernel_order': 432, 'label': '1728.8372.1k1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 25192633
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 14, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.e1.a1', 'kernel_order': 432, 'label': '1728.8372.1k2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 25192644
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 15, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 432, 'label': '1728.8372.1l1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 25192655
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 16, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 432, 'label': '1728.8372.1l2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 25192666
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 17, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 432, 'label': '1728.8372.1m1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 25192677
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 18, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 432, 'label': '1728.8372.1m2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 25192688
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 19, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1.b1', 'kernel_order': 288, 'label': '1728.8372.1n1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 0]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, -1]]]}
  • id: 25192700
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 20, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1.b1', 'kernel_order': 288, 'label': '1728.8372.1n2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 1]]]}
  • id: 25192711
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 21, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.f1.b1', 'kernel_order': 288, 'label': '1728.8372.1o1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]]]}
  • id: 25192722
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 22, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.f1.b1', 'kernel_order': 288, 'label': '1728.8372.1o2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]]]}
  • id: 25192733
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 23, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.f1.a1', 'kernel_order': 288, 'label': '1728.8372.1p1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 0]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, -1]]]}
  • id: 25192744
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 24, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.f1.a1', 'kernel_order': 288, 'label': '1728.8372.1p2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 1]]]}
  • id: 25192755
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 25, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1.a1', 'kernel_order': 288, 'label': '1728.8372.1q1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]]]}
  • id: 25192766
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 26, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1.a1', 'kernel_order': 288, 'label': '1728.8372.1q2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]]]}
  • id: 25192777
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 27, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1.a1', 'kernel_order': 288, 'label': '1728.8372.1r1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]]]}
  • id: 25192788
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 28, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1.a1', 'kernel_order': 288, 'label': '1728.8372.1r2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]]]}
  • id: 25192799
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 29, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1.a1', 'kernel_order': 288, 'label': '1728.8372.1s1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]]]}
  • id: 25192811
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 30, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1.a1', 'kernel_order': 288, 'label': '1728.8372.1s2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]]]}
  • id: 25192822
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 31, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 288, 'label': '1728.8372.1t1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]]]}
  • id: 25192833
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 32, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 288, 'label': '1728.8372.1t2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]]]}
  • id: 25192844
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 33, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.h1.a1', 'kernel_order': 216, 'label': '1728.8372.1u1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]]]}
  • id: 25192855
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 34, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.h1.a1', 'kernel_order': 216, 'label': '1728.8372.1u2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 25192866
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 35, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.h1.a1', 'kernel_order': 216, 'label': '1728.8372.1u3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]]]}
  • id: 25192877
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 36, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.h1.a1', 'kernel_order': 216, 'label': '1728.8372.1u4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 25192879
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 37, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1.a1', 'kernel_order': 216, 'label': '1728.8372.1v1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]]]}
  • id: 25192880
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 38, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1.a1', 'kernel_order': 216, 'label': '1728.8372.1v2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 25192881
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 39, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1.a1', 'kernel_order': 216, 'label': '1728.8372.1v3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]]]}
  • id: 25192883
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 40, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1.a1', 'kernel_order': 216, 'label': '1728.8372.1v4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 25192884
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 41, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 216, 'label': '1728.8372.1w1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]]]}
  • id: 25192885
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 42, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 216, 'label': '1728.8372.1w2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 25192886
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 43, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 216, 'label': '1728.8372.1w3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]]]}
  • id: 25192887
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 44, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 216, 'label': '1728.8372.1w4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 25192888
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 45, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 216, 'label': '1728.8372.1x1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]]]}
  • id: 25192889
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 46, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 216, 'label': '1728.8372.1x2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 25192890
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 47, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 216, 'label': '1728.8372.1x3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]]]}
  • id: 25192891
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 48, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 216, 'label': '1728.8372.1x4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 25192892
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 49, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.f1.b1', 'kernel_order': 144, 'label': '1728.8372.1y1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 2]], [[1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 3]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]]]}
  • id: 25192894
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 50, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.f1.b1', 'kernel_order': 144, 'label': '1728.8372.1y2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 0]], [[1, 4]], [[1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]]]}
  • id: 25192895
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 51, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.f1.b1', 'kernel_order': 144, 'label': '1728.8372.1y3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 2]], [[1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]]]}
  • id: 25192896
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 52, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.f1.b1', 'kernel_order': 144, 'label': '1728.8372.1y4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 0]], [[1, 4]], [[1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 5]], [[1, 5]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 3]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]]]}
  • id: 25192897
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 53, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.f1.a1', 'kernel_order': 144, 'label': '1728.8372.1z1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 2]], [[1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 3]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]]]}
  • id: 25192898
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 54, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.f1.a1', 'kernel_order': 144, 'label': '1728.8372.1z2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 0]], [[1, 4]], [[1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]]]}
  • id: 25192899
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 55, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.f1.a1', 'kernel_order': 144, 'label': '1728.8372.1z3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 2]], [[1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]]]}
  • id: 25192900
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1728, 'counter': 56, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.f1.a1', 'kernel_order': 144, 'label': '1728.8372.1z4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 0]], [[1, 4]], [[1, 2]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 5]], [[1, 5]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 3]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 3]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]]]}
  • id: 25192945
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 97, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.b1.a1', 'kernel_order': 288, 'label': '1728.8372.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 25192692
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 193, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1.a1', 'kernel_order': 12, 'label': '1728.8372.2aa1', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-2, 2]], [[-2, 10]], [[-2, 10]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 10]], [[2, 10]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[2, 10]], [[2, 2]], [[-2, 6]], [[2, 2]], [[-2, 10]], [[2, 6]], [[-2, 2]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[2, 10]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 10]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[2, 11]], [[-2, 11]], [[2, 7]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 1]], [[2, 7]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[2, 11]], [[-2, 7]], [[-2, 7]], [[-2, 11]], [[-2, 11]], [[-2, 7]], [[2, 1]], [[2, 7]], [[-2, 3]], [[-2, 7]], [[-2, 9]], [[2, 9]], [[2, 5]], [[-2, 5]], [[-2, 3]], [[2, 1]], [[2, 5]], [[-2, 9]], [[2, 11]], [[-2, 1]], [[-2, 1]], [[2, 7]], [[-2, 5]], [[2, 9]], [[2, 11]], [[2, 3]], [[2, 3]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[-1, 9]], [[-1, 11]], [[1, 1]], [[1, 9]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[1, 3]], [[1, 11]], [[1, 5]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[-1, 5]], [[1, 11]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 11]], [[-1, 9]], [[1, 7]], [[1, 5]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 1]], [[1, 11]], [[1, 7]], [[1, 3]], [[-1, 7]], [[1, 9]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 7]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 7]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 11]], [[1, 5]], [[1, 7]], [[-1, 9]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 9]], [[1, 1]]]}
  • id: 25192693
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 194, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1.a1', 'kernel_order': 12, 'label': '1728.8372.2aa2', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[2, 10]], [[2, 2]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[2, 10]], [[-2, 6]], [[-2, 2]], [[-2, 10]], [[2, 6]], [[-2, 10]], [[2, 2]], [[-2, 6]], [[2, 10]], [[2, 2]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[2, 10]], [[-2, 2]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[-2, 1]], [[2, 1]], [[-2, 5]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, 11]], [[-2, 5]], [[-2, 11]], [[2, 11]], [[2, 11]], [[2, 7]], [[-2, 1]], [[2, 5]], [[2, 5]], [[2, 1]], [[2, 1]], [[2, 5]], [[-2, 11]], [[-2, 5]], [[2, 9]], [[2, 5]], [[2, 3]], [[-2, 3]], [[-2, 7]], [[2, 7]], [[2, 9]], [[-2, 11]], [[-2, 7]], [[2, 3]], [[-2, 1]], [[2, 11]], [[2, 11]], [[-2, 5]], [[2, 7]], [[-2, 3]], [[-2, 1]], [[-2, 9]], [[-2, 9]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[1, 3]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[-1, 7]], [[1, 5]], [[1, 11]], [[-1, 5]], [[-1, 9]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[1, 3]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[-1, 9]], [[1, 5]], [[-1, 3]], [[1, 11]], [[1, 11]], [[1, 9]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 9]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 11]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 11]], [[1, 9]], [[-1, 9]], [[1, 7]], [[1, 7]], [[1, 5]], [[1, 9]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 3]], [[-1, 11]]]}
  • id: 25192694
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 195, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1.a1', 'kernel_order': 12, 'label': '1728.8372.2aa3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-2, 2]], [[-2, 10]], [[-2, 10]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 10]], [[2, 10]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[2, 10]], [[2, 2]], [[-2, 6]], [[2, 2]], [[-2, 10]], [[2, 6]], [[-2, 2]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[2, 10]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 10]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-2, 11]], [[2, 11]], [[-2, 7]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 1]], [[-2, 7]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 5]], [[-2, 11]], [[2, 7]], [[2, 7]], [[2, 11]], [[2, 11]], [[2, 7]], [[-2, 1]], [[-2, 7]], [[2, 3]], [[2, 7]], [[2, 9]], [[-2, 9]], [[-2, 5]], [[2, 5]], [[2, 3]], [[-2, 1]], [[-2, 5]], [[2, 9]], [[-2, 11]], [[2, 1]], [[2, 1]], [[-2, 7]], [[2, 5]], [[-2, 9]], [[-2, 11]], [[-2, 3]], [[-2, 3]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 9]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 11]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[1, 3]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 11]], [[1, 9]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 3]], [[1, 7]], [[-1, 9]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[1, 7]], [[-1, 9]], [[1, 3]], [[1, 7]], [[1, 5]], [[-1, 11]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 7]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[1, 9]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[1, 9]], [[-1, 1]]]}
  • id: 25192695
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 196, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1.a1', 'kernel_order': 12, 'label': '1728.8372.2aa4', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 9]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[2, 10]], [[2, 2]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[2, 10]], [[-2, 6]], [[-2, 2]], [[-2, 10]], [[2, 6]], [[-2, 10]], [[2, 2]], [[-2, 6]], [[2, 10]], [[2, 2]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[2, 10]], [[-2, 2]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[2, 1]], [[-2, 1]], [[2, 5]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 11]], [[2, 5]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, 7]], [[2, 1]], [[-2, 5]], [[-2, 5]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[2, 11]], [[2, 5]], [[-2, 9]], [[-2, 5]], [[-2, 3]], [[2, 3]], [[2, 7]], [[-2, 7]], [[-2, 9]], [[2, 11]], [[2, 7]], [[-2, 3]], [[2, 1]], [[-2, 11]], [[-2, 11]], [[2, 5]], [[-2, 7]], [[2, 3]], [[2, 1]], [[2, 9]], [[2, 9]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 3]], [[-1, 1]], [[1, 11]], [[1, 3]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[1, 9]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 1]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[1, 11]], [[1, 1]], [[1, 5]], [[1, 9]], [[-1, 5]], [[1, 3]], [[-1, 11]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 9]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[1, 9]], [[-1, 11]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 9]], [[1, 9]], [[-1, 7]], [[-1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 5]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 11]], [[-1, 3]], [[1, 11]]]}
  • id: 25192696
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 197, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1.a1', 'kernel_order': 12, 'label': '1728.8372.2aa5', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[2, 2]], [[2, 10]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 10]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[2, 10]], [[-2, 6]], [[2, 2]], [[2, 10]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[2, 10]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 10]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[2, 5]], [[-2, 5]], [[2, 1]], [[-2, 11]], [[2, 11]], [[2, 11]], [[2, 7]], [[2, 1]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, 11]], [[2, 5]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[-2, 5]], [[-2, 1]], [[2, 7]], [[2, 1]], [[2, 9]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[2, 11]], [[-2, 11]], [[2, 9]], [[2, 7]], [[2, 11]], [[2, 3]], [[2, 5]], [[-2, 7]], [[-2, 7]], [[2, 1]], [[-2, 11]], [[-2, 3]], [[2, 5]], [[-2, 9]], [[-2, 9]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[1, 5]], [[1, 11]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 11]], [[-1, 5]], [[1, 11]], [[1, 3]], [[1, 7]], [[1, 5]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 11]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 7]], [[1, 3]], [[1, 7]]]}
  • id: 25192697
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 198, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1.a1', 'kernel_order': 12, 'label': '1728.8372.2aa6', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-2, 10]], [[-2, 2]], [[-2, 2]], [[2, 10]], [[2, 10]], [[-2, 10]], [[2, 2]], [[2, 2]], [[-2, 6]], [[-2, 10]], [[2, 6]], [[2, 2]], [[2, 10]], [[-2, 6]], [[2, 10]], [[-2, 2]], [[2, 6]], [[-2, 10]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[2, 2]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[-2, 10]], [[2, 2]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[-2, 7]], [[2, 7]], [[-2, 11]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[-2, 11]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 1]], [[-2, 7]], [[2, 11]], [[2, 11]], [[2, 7]], [[2, 7]], [[2, 11]], [[-2, 5]], [[-2, 11]], [[-2, 3]], [[2, 11]], [[-2, 9]], [[2, 9]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[-2, 5]], [[-2, 1]], [[-2, 9]], [[-2, 7]], [[2, 5]], [[2, 5]], [[-2, 11]], [[2, 1]], [[2, 9]], [[-2, 7]], [[2, 3]], [[2, 3]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[-1, 9]], [[1, 7]], [[-1, 5]], [[1, 9]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 11]], [[1, 3]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 7]], [[-1, 9]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[1, 3]], [[1, 11]], [[1, 9]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 11]], [[1, 11]], [[1, 9]], [[-1, 3]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 7]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 11]], [[-1, 3]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 11]], [[1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 5]]]}
  • id: 25192698
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 199, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1.a1', 'kernel_order': 12, 'label': '1728.8372.2aa7', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 9]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[2, 2]], [[2, 10]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 10]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[2, 10]], [[-2, 6]], [[2, 2]], [[2, 10]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[2, 10]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 10]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-2, 5]], [[2, 5]], [[-2, 1]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, 7]], [[-2, 1]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 11]], [[-2, 5]], [[2, 1]], [[2, 1]], [[2, 5]], [[2, 5]], [[2, 1]], [[-2, 7]], [[-2, 1]], [[-2, 9]], [[2, 1]], [[-2, 3]], [[2, 3]], [[-2, 11]], [[2, 11]], [[-2, 9]], [[-2, 7]], [[-2, 11]], [[-2, 3]], [[-2, 5]], [[2, 7]], [[2, 7]], [[-2, 1]], [[2, 11]], [[2, 3]], [[-2, 5]], [[2, 9]], [[2, 9]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[1, 5]], [[-1, 7]], [[1, 3]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 9]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[1, 9]], [[1, 1]], [[1, 3]], [[1, 7]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 9]], [[1, 1]], [[1, 11]], [[-1, 5]], [[1, 7]], [[1, 9]], [[1, 7]], [[-1, 5]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 11]], [[1, 11]], [[1, 1]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[-1, 3]], [[-1, 7]]]}
  • id: 25192701
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 200, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1.a1', 'kernel_order': 12, 'label': '1728.8372.2aa8', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[-2, 10]], [[-2, 2]], [[-2, 2]], [[2, 10]], [[2, 10]], [[-2, 10]], [[2, 2]], [[2, 2]], [[-2, 6]], [[-2, 10]], [[2, 6]], [[2, 2]], [[2, 10]], [[-2, 6]], [[2, 10]], [[-2, 2]], [[2, 6]], [[-2, 10]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[2, 2]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[-2, 10]], [[2, 2]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[2, 7]], [[-2, 7]], [[2, 11]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 5]], [[2, 11]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 1]], [[2, 7]], [[-2, 11]], [[-2, 11]], [[-2, 7]], [[-2, 7]], [[-2, 11]], [[2, 5]], [[2, 11]], [[2, 3]], [[-2, 11]], [[2, 9]], [[-2, 9]], [[2, 1]], [[-2, 1]], [[2, 3]], [[2, 5]], [[2, 1]], [[2, 9]], [[2, 7]], [[-2, 5]], [[-2, 5]], [[2, 11]], [[-2, 1]], [[-2, 9]], [[2, 7]], [[-2, 3]], [[-2, 3]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 9]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[-1, 3]], [[1, 7]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 5]], [[1, 7]], [[1, 11]], [[-1, 3]], [[-1, 11]], [[-1, 9]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 11]], [[-1, 11]], [[-1, 9]], [[1, 3]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 11]], [[1, 3]], [[-1, 11]], [[1, 5]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 9]], [[1, 11]], [[-1, 7]], [[1, 5]], [[1, 9]], [[1, 5]]]}
  • id: 25192702
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 201, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab1', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-2, 12]], [[1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[2, 12]], [[1, 0]], [[-1, 6]], [[2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[-2, 6]], [[1, 12]], [[-2, 6]], [[1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-2, 3]], [[2, 3]], [[2, 15]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 15]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 11]], [[1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [1, 5]], [[1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 11]]]}
  • id: 25192712
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 210, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab10', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[2, 6]], [[-1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[-2, 6]], [[1, 0]], [[1, 12]], [[-2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[2, 12]], [[-1, 6]], [[2, 12]], [[-1, 12]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 15]], [[1, 15]], [[1, 9]], [[1, 3]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 9]], [[1, 15]], [[1, 9]], [[-1, 9]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 7], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, 1], [1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [-1, 5]]]}
  • id: 25192713
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 211, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab11', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-2, 12]], [[1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[2, 12]], [[1, 0]], [[-1, 6]], [[2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[-2, 6]], [[1, 12]], [[-2, 6]], [[1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]]]}
  • id: 25192714
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 212, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab12', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[2, 6]], [[-1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[-2, 6]], [[1, 0]], [[1, 12]], [[-2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[2, 12]], [[-1, 6]], [[2, 12]], [[-1, 12]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-2, 15]], [[2, 15]], [[2, 3]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 15]], [[-1, 15]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[1, 9]], [[1, 15]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 15]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[1, 9]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[-1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 11]], [[1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [1, 5]]]}
  • id: 25192703
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 202, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab2', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[2, 6]], [[-1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[-2, 6]], [[1, 0]], [[1, 12]], [[-2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[2, 12]], [[-1, 6]], [[2, 12]], [[-1, 12]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 15]], [[1, 15]], [[1, 9]], [[1, 3]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 9]], [[1, 15]], [[1, 9]], [[-1, 9]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [-1, 7]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 5], [1, 7], [-1, 11]]]}
  • id: 25192704
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 203, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab3', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-2, 12]], [[1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[2, 12]], [[1, 0]], [[-1, 6]], [[2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[-2, 6]], [[1, 12]], [[-2, 6]], [[1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 11]]]}
  • id: 25192705
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 204, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab4', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[2, 6]], [[-1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[-2, 6]], [[1, 0]], [[1, 12]], [[-2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[2, 12]], [[-1, 6]], [[2, 12]], [[-1, 12]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-2, 15]], [[2, 15]], [[2, 3]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 15]], [[-1, 15]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[1, 9]], [[1, 15]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 15]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[1, 9]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 5], [-1, 7], [1, 11]]]}
  • id: 25192706
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 205, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab5', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-2, 12]], [[1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[2, 12]], [[1, 0]], [[-1, 6]], [[2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[-2, 6]], [[1, 12]], [[-2, 6]], [[1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-2, 3]], [[2, 3]], [[2, 15]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 15]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [-1, 7]]]}
  • id: 25192707
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 206, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab6', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[2, 6]], [[-1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[-2, 6]], [[1, 0]], [[1, 12]], [[-2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[2, 12]], [[-1, 6]], [[2, 12]], [[-1, 12]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [1, 4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 15]], [[1, 15]], [[1, 9]], [[1, 3]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 9]], [[1, 15]], [[1, 9]], [[-1, 9]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [-1, 4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 7], [1, 11]]]}
  • id: 25192708
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 207, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab7', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-2, 12]], [[1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[2, 12]], [[1, 0]], [[-1, 6]], [[2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[-2, 6]], [[1, 12]], [[-2, 6]], [[1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 11]], [[1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[-1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [1, 7]]]}
  • id: 25192709
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 208, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab8', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[2, 6]], [[-1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[-2, 6]], [[1, 0]], [[1, 12]], [[-2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[2, 12]], [[-1, 6]], [[2, 12]], [[-1, 12]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [1, 4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-2, 15]], [[2, 15]], [[2, 3]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 15]], [[-1, 15]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[1, 9]], [[1, 15]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 15]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[1, 9]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [-1, 4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[-1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 7], [-1, 11]]]}
  • id: 25192710
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 209, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.c1.a1', 'kernel_order': 8, 'label': '1728.8372.2ab9', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[2, 6]], [[-2, 12]], [[1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[2, 6]], [[-1, 0]], [[1, 6]], [[-2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[2, 12]], [[1, 0]], [[-1, 6]], [[2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[-2, 6]], [[1, 12]], [[-2, 6]], [[1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-2, 3]], [[2, 3]], [[2, 15]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 15]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 7], [1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [1, 5]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]]]}
  • id: 25192715
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 213, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac1', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[-2, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 27]], [[2, 27]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[1, 9]], [[1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[-1, 27]], [[1, 9]], [[-1, 27]], [[1, 27]], [[1, 27]], [[-1, 9]], [[-1, 27]], [[1, 27]], [[1, 9]], [[1, 27]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]]]}
  • id: 25192725
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 222, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac10', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[2, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-2, 27]], [[-2, 27]], [[-2, 27]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 27]], [[2, 27]], [[-2, 27]], [[2, 27]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[1, 27]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 27]], [[1, 9]], [[-1, 9]], [[-1, 27]], [[-1, 9]], [[1, 9]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 1], [-1, 17]]]}
  • id: 25192726
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 223, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac11', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[-2, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 27]], [[-2, 27]], [[2, 27]], [[2, 27]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 27]], [[-1, 27]], [[1, 27]], [[1, 27]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[-1, 27]], [[1, 9]], [[1, 27]], [[-1, 27]], [[-1, 9]], [[-1, 27]], [[1, 27]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]]]}
  • id: 25192727
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 224, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac12', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[2, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[2, 27]], [[2, 27]], [[2, 27]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[1, 27]], [[1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 27]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 27]], [[-1, 9]], [[1, 9]], [[1, 27]], [[1, 9]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 1], [1, 17]]]}
  • id: 25192716
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 214, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac2', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[2, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-2, 27]], [[-2, 27]], [[-2, 27]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 27]], [[2, 27]], [[-2, 27]], [[2, 27]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[1, 27]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 27]], [[1, 9]], [[-1, 9]], [[-1, 27]], [[-1, 9]], [[1, 9]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 5], [1, 13]]]}
  • id: 25192717
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 215, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac3', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[-2, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 27]], [[-2, 27]], [[2, 27]], [[2, 27]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 27]], [[-1, 27]], [[1, 27]], [[1, 27]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[-1, 27]], [[1, 9]], [[1, 27]], [[-1, 27]], [[-1, 9]], [[-1, 27]], [[1, 27]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]]]}
  • id: 25192718
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 216, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac4', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[2, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[2, 27]], [[2, 27]], [[2, 27]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[1, 27]], [[1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 27]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 27]], [[-1, 9]], [[1, 9]], [[1, 27]], [[1, 9]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[-1, 5], [-1, 13]]]}
  • id: 25192719
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 217, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac5', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[-2, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 27]], [[2, 27]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[1, 9]], [[1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[-1, 27]], [[1, 9]], [[-1, 27]], [[1, 27]], [[1, 27]], [[-1, 9]], [[-1, 27]], [[1, 27]], [[1, 9]], [[1, 27]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 7], [1, 11]]]}
  • id: 25192720
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 218, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac6', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[2, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-2, 27]], [[-2, 27]], [[-2, 27]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 27]], [[2, 27]], [[-2, 27]], [[2, 27]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[1, 27]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 27]], [[1, 9]], [[-1, 9]], [[-1, 27]], [[-1, 9]], [[1, 9]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]]]}
  • id: 25192721
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 219, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac7', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[-2, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 27]], [[-2, 27]], [[2, 27]], [[2, 27]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 27]], [[-1, 27]], [[1, 27]], [[1, 27]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[-1, 27]], [[1, 9]], [[1, 27]], [[-1, 27]], [[-1, 9]], [[-1, 27]], [[1, 27]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 7], [-1, 11]]]}
  • id: 25192723
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 220, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac8', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[2, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-2, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[2, 27]], [[2, 27]], [[2, 27]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[1, 27]], [[1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 27]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 27]], [[-1, 9]], [[1, 9]], [[1, 27]], [[1, 9]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]]]}
  • id: 25192724
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 221, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.d1.a1', 'kernel_order': 12, 'label': '1728.8372.2ac9', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[-2, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[2, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 27]], [[2, 27]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[1, 9]], [[1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[-1, 27]], [[1, 9]], [[-1, 27]], [[1, 27]], [[1, 27]], [[-1, 9]], [[-1, 27]], [[1, 27]], [[1, 9]], [[1, 27]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]]]}
  • id: 25192728
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 225, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad1', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[2, 12]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[-2, 12]], [[1, 0]], [[-1, 6]], [[-2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[2, 6]], [[1, 12]], [[2, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 9]], [[1, 15]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 5], [-1, 7]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [1, 5]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 11]]]}
  • id: 25192738
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 234, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad10', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-2, 6]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[2, 6]], [[1, 0]], [[1, 12]], [[2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-2, 12]], [[-1, 6]], [[-2, 12]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[1, 15]], [[1, 15]], [[1, 9]], [[1, 3]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 9]], [[1, 9]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 1], [1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[1, 5], [1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[1, 7], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, 1], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [1, 5]]]}
  • id: 25192739
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 235, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad11', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[2, 12]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[-2, 12]], [[1, 0]], [[-1, 6]], [[-2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[2, 6]], [[1, 12]], [[2, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 15]], [[1, 15]], [[-1, 15]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[1, 5], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 5]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 7], [1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]]]}
  • id: 25192740
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 236, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad12', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-2, 6]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[2, 6]], [[1, 0]], [[1, 12]], [[2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-2, 12]], [[-1, 6]], [[-2, 12]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[-1, 15]], [[-1, 15]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 9]], [[-1, 9]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 1], [-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [-1, 5]]]}
  • id: 25192729
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 226, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad2', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-2, 6]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[2, 6]], [[1, 0]], [[1, 12]], [[2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-2, 12]], [[-1, 6]], [[-2, 12]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[1, 15]], [[1, 15]], [[1, 9]], [[1, 3]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 9]], [[1, 9]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 11]], [[1, 5], [-1, 7]], [[1, 5], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 5], [-1, 7], [1, 11]]]}
  • id: 25192730
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 227, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad3', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[2, 12]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[-2, 12]], [[1, 0]], [[-1, 6]], [[-2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[2, 6]], [[1, 12]], [[2, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 15]], [[1, 15]], [[-1, 15]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [1, 11]], [[1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 5], [-1, 7]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 11]]]}
  • id: 25192731
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 228, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad4', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-2, 6]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[2, 6]], [[1, 0]], [[1, 12]], [[2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-2, 12]], [[-1, 6]], [[-2, 12]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[-1, 15]], [[-1, 15]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 9]], [[-1, 9]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 5], [1, 7], [-1, 11]]]}
  • id: 25192732
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 229, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad5', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[2, 12]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[-2, 12]], [[1, 0]], [[-1, 6]], [[-2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[2, 6]], [[1, 12]], [[2, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 9]], [[1, 15]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 5], [1, 7]]]}
  • id: 25192734
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 230, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad6', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-2, 6]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[2, 6]], [[1, 0]], [[1, 12]], [[2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-2, 12]], [[-1, 6]], [[-2, 12]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [1, 4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[1, 15]], [[1, 15]], [[1, 9]], [[1, 3]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 9]], [[1, 9]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [-1, 4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[-1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 7], [-1, 11]]]}
  • id: 25192735
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 231, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad7', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[2, 12]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[-2, 12]], [[1, 0]], [[-1, 6]], [[-2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[2, 6]], [[1, 12]], [[2, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 15]], [[1, 15]], [[-1, 15]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 11]], [[1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [1, 5]], [[-1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 5], [-1, 7]]]}
  • id: 25192736
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 232, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad8', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-2, 6]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[-2, 6]], [[2, 12]], [[2, 12]], [[-2, 6]], [[1, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[1, 0]], [[2, 6]], [[1, 0]], [[1, 12]], [[2, 6]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-2, 12]], [[-1, 6]], [[-2, 12]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [1, 4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-1, 4], [1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[1, 2], [-1, 8], [-1, 10]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[-1, 15]], [[-1, 15]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 9]], [[-1, 9]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[-1, 4], [-1, 8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[1, 2], [-1, 4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 8]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 7], [1, 11]], [[1, 1], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [1, 7]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 7], [1, 11]]]}
  • id: 25192737
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 233, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '216.45', 'image_order': 216, 'indicator': 0, 'kernel': '216.a1.a1', 'kernel_order': 8, 'label': '1728.8372.2ad9', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 12]], [[-1, 0]], [[-1, 12]], [[-2, 6]], [[2, 12]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[2, 12]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[-1, 12]], [[-2, 6]], [[-1, 0]], [[1, 6]], [[2, 12]], [[-1, 0]], [[1, 6]], [[-1, 12]], [[-1, 0]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 4], [1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[1, 2], [-1, 8], [-1, 10]], [[1, 8], [1, -8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[-2, 12]], [[2, 6]], [[2, 6]], [[1, 0]], [[-2, 12]], [[1, 0]], [[-1, 6]], [[-2, 12]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[2, 6]], [[1, 12]], [[2, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 4], [1, 8], [1, 10]], [[1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, 8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 9]], [[1, 15]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[-1, 8], [-1, -8]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[1, 2], [-1, 4]], [[-1, 2], [1, 8], [1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [-1, 4]], [[1, 2], [1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8], [-1, 10]], [[-1, 4], [-1, 8]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 8]], [[1, 2], [1, 10]], [[1, 2], [-1, 4]], [[-1, 2], [1, 4], [1, 8], [-1, 10]], [[-1, 2], [1, 8], [1, 10]], [[1, 4], [-1, 8], [-1, 10]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 4]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [1, 5]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [1, 5]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [1, 5], [-1, 7], [-1, 11]], [[-1, 5], [-1, 7], [1, 11]], [[1, 1], [-1, 7], [1, 11]], [[-1, 1], [-1, 5]], [[-1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [-1, 5]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 5]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 7], [-1, 11]], [[1, 5], [1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, 1], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 7], [-1, 11]]]}
  • id: 25192741
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 237, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae1', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[1, 9]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[1, 9]], [[-1, 27]], [[1, 27]], [[1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]]]}
  • id: 25192751
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 246, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae10', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 27]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-1, 27]], [[1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[1, 27]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[1, 27]], [[1, 27]], [[1, 27]], [[-1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 1], [1, 17]]]}
  • id: 25192752
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 247, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae11', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 27]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-1, 9]], [[1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[1, 27]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[-1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]]]}
  • id: 25192753
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 248, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae12', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 27]], [[2, 27]], [[2, 27]], [[-2, 27]], [[1, 27]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 27]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 27]], [[1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 1], [-1, 17]]]}
  • id: 25192742
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 238, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae2', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 27]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-1, 27]], [[1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[1, 27]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[1, 27]], [[1, 27]], [[1, 27]], [[-1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[-1, 5], [-1, 13]]]}
  • id: 25192743
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 239, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae3', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 27]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-1, 9]], [[1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[1, 27]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[-1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]]]}
  • id: 25192745
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 240, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae4', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 27]], [[2, 27]], [[2, 27]], [[-2, 27]], [[1, 27]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 27]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 27]], [[1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 5], [1, 13]]]}
  • id: 25192746
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 241, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae5', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[1, 9]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[1, 9]], [[-1, 27]], [[1, 27]], [[1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 7], [-1, 11]]]}
  • id: 25192747
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 242, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae6', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 27]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-1, 27]], [[1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[1, 27]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[1, 27]], [[1, 27]], [[1, 27]], [[-1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]]]}
  • id: 25192748
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 243, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae7', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 27]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-1, 9]], [[1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[1, 27]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[-1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 7], [1, 11]]]}
  • id: 25192749
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 244, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae8', 'nt': [72, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[2, 18]], [[-1, 18]], [[-2, 18]], [[1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 27]], [[2, 27]], [[2, 27]], [[-2, 27]], [[1, 27]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 27]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 27]], [[1, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]]]}
  • id: 25192750
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 245, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.5', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 12, 'label': '1728.8372.2ae9', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[-2, 18]], [[1, 18]], [[2, 18]], [[-1, 18]], [[1, 18]], [[-1, 18]], [[-1, 18]], [[1, 18]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 27]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[1, 9]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 27]], [[-1, 27]], [[1, 27]], [[-1, 27]], [[1, 9]], [[-1, 27]], [[1, 27]], [[1, 27]], [[-1, 9]], [[1, 27]], [[1, 27]], [[1, 9]], [[-1, 27]], [[-1, 27]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[1, 5], [1, 13]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 7], [1, 11]], [[-1, 5], [-1, 13]], [[1, 1], [1, 17]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]]]}
  • id: 25192754
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 249, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af1', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 0]], [[-2, 8]], [[2, 16]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 16]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[2, 4]], [[2, 4]], [[0, 0]], [[-2, 12]], [[-2, 20]], [[0, 0]], [[2, 12]], [[2, 20]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 15]], [[2, 21]], [[-2, 3]], [[2, 3]], [[-2, 21]], [[-2, 15]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 16]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[-2, 14]], [[2, 14]], [[2, 10]], [[-2, 10]], [[2, 22]], [[2, 2]], [[-2, 2]], [[2, 18]], [[0, 0]], [[-2, 6]], [[2, 2]], [[0, 0]], [[-2, 18]], [[2, 10]], [[2, 14]], [[2, 6]], [[-2, 22]], [[-2, 14]], [[2, 22]], [[-2, 2]], [[0, 0]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[-2, 12]], [[2, 4]], [[2, 20]], [[-2, 4]], [[-2, 4]], [[-2, 20]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[2, 12]], [[-2, 20]], [[2, 4]], [[2, 12]], [[-2, 12]], [[2, 20]], [[2, 12]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 13]], [[-2, 23]], [[2, 17]], [[2, 19]], [[-2, 11]], [[-2, 19]], [[2, 1]], [[-2, 17]], [[2, 5]], [[2, 11]], [[-2, 1]], [[2, 23]], [[2, 7]], [[-2, 5]], [[-2, 7]], [[-2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 18]], [[2, 22]], [[2, 6]], [[-2, 10]], [[2, 10]], [[-2, 6]], [[-2, 6]], [[2, 14]], [[2, 14]], [[-2, 22]], [[-2, 18]], [[-2, 18]], [[2, 22]], [[-2, 2]], [[2, 14]], [[2, 2]], [[-2, 14]], [[2, 18]], [[2, 2]], [[-2, 2]], [[-2, 10]], [[-2, 14]], [[2, 10]], [[2, 10]], [[2, 6]], [[-2, 18]], [[-2, 22]], [[2, 6]], [[-2, 14]], [[-2, 2]], [[-2, 22]], [[2, 22]], [[-2, 10]], [[2, 18]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192764
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 258, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af10', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 16]], [[-2, 8]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 16]], [[2, 16]], [[-2, 8]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[2, 20]], [[2, 20]], [[0, 0]], [[-2, 12]], [[-2, 4]], [[0, 0]], [[2, 12]], [[2, 4]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 15]], [[2, 21]], [[-2, 3]], [[2, 3]], [[-2, 21]], [[-2, 15]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[-2, 0]], [[-2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14]], [[2, 22]], [[-2, 22]], [[-2, 2]], [[2, 2]], [[-2, 14]], [[-2, 10]], [[2, 10]], [[2, 18]], [[0, 0]], [[-2, 6]], [[-2, 10]], [[0, 0]], [[-2, 18]], [[-2, 2]], [[-2, 22]], [[2, 6]], [[2, 14]], [[2, 22]], [[-2, 14]], [[2, 10]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[-2, 12]], [[2, 20]], [[2, 4]], [[-2, 20]], [[-2, 20]], [[-2, 4]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[2, 12]], [[-2, 4]], [[2, 20]], [[2, 12]], [[-2, 12]], [[2, 4]], [[2, 12]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[-2, 7]], [[2, 1]], [[-2, 11]], [[2, 19]], [[2, 11]], [[2, 17]], [[-2, 1]], [[-2, 13]], [[-2, 19]], [[-2, 17]], [[2, 7]], [[2, 23]], [[2, 13]], [[-2, 23]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 18]], [[-2, 14]], [[2, 6]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[-2, 22]], [[-2, 22]], [[2, 14]], [[-2, 18]], [[-2, 18]], [[-2, 14]], [[2, 10]], [[-2, 22]], [[-2, 10]], [[2, 22]], [[2, 18]], [[-2, 10]], [[2, 10]], [[2, 2]], [[2, 22]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[-2, 18]], [[2, 14]], [[2, 6]], [[2, 22]], [[2, 10]], [[2, 14]], [[-2, 14]], [[2, 2]], [[2, 18]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192765
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 259, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af11', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 0]], [[-2, 8]], [[2, 16]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 16]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[2, 4]], [[-2, 20]], [[2, 20]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[2, 12]], [[2, 20]], [[0, 0]], [[-2, 12]], [[-2, 20]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 15]], [[2, 9]], [[2, 3]], [[-2, 21]], [[2, 21]], [[-2, 3]], [[-2, 9]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 16]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[-2, 2]], [[2, 2]], [[2, 22]], [[-2, 22]], [[2, 10]], [[2, 14]], [[-2, 14]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 14]], [[0, 0]], [[2, 6]], [[2, 22]], [[2, 2]], [[-2, 18]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[-2, 14]], [[0, 0]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 12]], [[-2, 4]], [[-2, 20]], [[2, 4]], [[2, 4]], [[2, 20]], [[2, 4]], [[-2, 20]], [[2, 20]], [[-2, 12]], [[2, 20]], [[-2, 4]], [[-2, 12]], [[2, 12]], [[-2, 20]], [[-2, 12]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 19]], [[-2, 17]], [[2, 23]], [[-2, 13]], [[2, 5]], [[2, 13]], [[2, 7]], [[-2, 23]], [[-2, 11]], [[-2, 5]], [[-2, 7]], [[2, 17]], [[2, 1]], [[2, 11]], [[-2, 1]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14]], [[-2, 6]], [[2, 10]], [[-2, 18]], [[-2, 22]], [[2, 22]], [[2, 18]], [[2, 18]], [[2, 2]], [[2, 2]], [[-2, 10]], [[2, 6]], [[2, 6]], [[2, 10]], [[-2, 14]], [[2, 2]], [[2, 14]], [[-2, 2]], [[-2, 6]], [[2, 14]], [[-2, 14]], [[-2, 22]], [[-2, 2]], [[2, 22]], [[2, 22]], [[-2, 18]], [[2, 6]], [[-2, 10]], [[-2, 18]], [[-2, 2]], [[-2, 14]], [[-2, 10]], [[2, 10]], [[-2, 22]], [[-2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192767
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 260, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af12', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 16]], [[-2, 8]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 16]], [[2, 16]], [[-2, 8]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[2, 20]], [[2, 20]], [[0, 0]], [[-2, 12]], [[-2, 4]], [[0, 0]], [[2, 12]], [[2, 4]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 15]], [[-2, 21]], [[2, 3]], [[-2, 3]], [[2, 21]], [[2, 15]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[-2, 0]], [[-2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14]], [[2, 22]], [[-2, 22]], [[-2, 2]], [[2, 2]], [[-2, 14]], [[-2, 10]], [[2, 10]], [[2, 18]], [[0, 0]], [[-2, 6]], [[-2, 10]], [[0, 0]], [[-2, 18]], [[-2, 2]], [[-2, 22]], [[2, 6]], [[2, 14]], [[2, 22]], [[-2, 14]], [[2, 10]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[-2, 12]], [[2, 20]], [[2, 4]], [[-2, 20]], [[-2, 20]], [[-2, 4]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[2, 12]], [[-2, 4]], [[2, 20]], [[2, 12]], [[-2, 12]], [[2, 4]], [[2, 12]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, 7]], [[-2, 1]], [[2, 11]], [[-2, 19]], [[-2, 11]], [[-2, 17]], [[2, 1]], [[2, 13]], [[2, 19]], [[2, 17]], [[-2, 7]], [[-2, 23]], [[-2, 13]], [[2, 23]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 18]], [[-2, 14]], [[2, 6]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[-2, 22]], [[-2, 22]], [[2, 14]], [[-2, 18]], [[-2, 18]], [[-2, 14]], [[2, 10]], [[-2, 22]], [[-2, 10]], [[2, 22]], [[2, 18]], [[-2, 10]], [[2, 10]], [[2, 2]], [[2, 22]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[-2, 18]], [[2, 14]], [[2, 6]], [[2, 22]], [[2, 10]], [[2, 14]], [[-2, 14]], [[2, 2]], [[2, 18]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192768
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 261, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af13', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 0]], [[-2, 8]], [[2, 16]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 16]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[2, 4]], [[-2, 20]], [[2, 20]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[2, 12]], [[2, 20]], [[0, 0]], [[-2, 12]], [[-2, 20]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 21]], [[-2, 15]], [[2, 9]], [[-2, 9]], [[2, 15]], [[-2, 21]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 16]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10]], [[2, 2]], [[-2, 2]], [[-2, 22]], [[2, 22]], [[-2, 10]], [[-2, 14]], [[2, 14]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 14]], [[0, 0]], [[-2, 6]], [[-2, 22]], [[-2, 2]], [[2, 18]], [[2, 10]], [[2, 2]], [[-2, 10]], [[2, 14]], [[0, 0]], [[2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 12]], [[-2, 4]], [[-2, 20]], [[2, 4]], [[2, 4]], [[2, 20]], [[2, 4]], [[-2, 20]], [[2, 20]], [[-2, 12]], [[2, 20]], [[-2, 4]], [[-2, 12]], [[2, 12]], [[-2, 20]], [[-2, 12]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[2, 5]], [[2, 11]], [[2, 1]], [[2, 17]], [[-2, 1]], [[-2, 19]], [[-2, 11]], [[2, 23]], [[-2, 17]], [[2, 19]], [[-2, 5]], [[2, 13]], [[-2, 23]], [[-2, 13]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14]], [[2, 6]], [[-2, 10]], [[2, 18]], [[2, 22]], [[-2, 22]], [[-2, 18]], [[-2, 18]], [[-2, 2]], [[-2, 2]], [[2, 10]], [[-2, 6]], [[-2, 6]], [[-2, 10]], [[2, 14]], [[-2, 2]], [[-2, 14]], [[2, 2]], [[2, 6]], [[-2, 14]], [[2, 14]], [[2, 22]], [[2, 2]], [[-2, 22]], [[-2, 22]], [[2, 18]], [[-2, 6]], [[2, 10]], [[2, 18]], [[2, 2]], [[2, 14]], [[2, 10]], [[-2, 10]], [[2, 22]], [[2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192769
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 262, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af14', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 16]], [[-2, 8]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 16]], [[2, 16]], [[-2, 8]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[2, 20]], [[2, 20]], [[0, 0]], [[-2, 12]], [[-2, 4]], [[0, 0]], [[2, 12]], [[2, 4]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 21]], [[-2, 3]], [[2, 9]], [[-2, 15]], [[2, 15]], [[-2, 9]], [[2, 3]], [[-2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[-2, 0]], [[-2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14]], [[-2, 22]], [[2, 22]], [[2, 2]], [[-2, 2]], [[2, 14]], [[2, 10]], [[-2, 10]], [[-2, 18]], [[0, 0]], [[2, 6]], [[2, 10]], [[0, 0]], [[2, 18]], [[2, 2]], [[2, 22]], [[-2, 6]], [[-2, 14]], [[-2, 22]], [[2, 14]], [[-2, 10]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[-2, 12]], [[2, 20]], [[2, 4]], [[-2, 20]], [[-2, 20]], [[-2, 4]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[2, 12]], [[-2, 4]], [[2, 20]], [[2, 12]], [[-2, 12]], [[2, 4]], [[2, 12]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 17]], [[-2, 19]], [[-2, 13]], [[-2, 23]], [[-2, 7]], [[2, 23]], [[2, 5]], [[2, 13]], [[-2, 1]], [[2, 7]], [[-2, 5]], [[2, 19]], [[-2, 11]], [[2, 1]], [[2, 11]], [[-2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10]], [[-2, 18]], [[2, 14]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[2, 22]], [[2, 22]], [[-2, 14]], [[2, 18]], [[2, 18]], [[2, 14]], [[-2, 10]], [[2, 22]], [[2, 10]], [[-2, 22]], [[-2, 18]], [[2, 10]], [[-2, 10]], [[-2, 2]], [[-2, 22]], [[2, 2]], [[2, 2]], [[-2, 6]], [[2, 18]], [[-2, 14]], [[-2, 6]], [[-2, 22]], [[-2, 10]], [[-2, 14]], [[2, 14]], [[-2, 2]], [[-2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192770
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 263, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af15', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 0]], [[-2, 8]], [[2, 16]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 16]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[2, 4]], [[-2, 20]], [[2, 20]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[2, 12]], [[2, 20]], [[0, 0]], [[-2, 12]], [[-2, 20]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 21]], [[2, 15]], [[-2, 9]], [[2, 9]], [[-2, 15]], [[2, 21]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 16]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10]], [[2, 2]], [[-2, 2]], [[-2, 22]], [[2, 22]], [[-2, 10]], [[-2, 14]], [[2, 14]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 14]], [[0, 0]], [[-2, 6]], [[-2, 22]], [[-2, 2]], [[2, 18]], [[2, 10]], [[2, 2]], [[-2, 10]], [[2, 14]], [[0, 0]], [[2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 12]], [[-2, 4]], [[-2, 20]], [[2, 4]], [[2, 4]], [[2, 20]], [[2, 4]], [[-2, 20]], [[2, 20]], [[-2, 12]], [[2, 20]], [[-2, 4]], [[-2, 12]], [[2, 12]], [[-2, 20]], [[-2, 12]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[-2, 5]], [[-2, 11]], [[-2, 1]], [[-2, 17]], [[2, 1]], [[2, 19]], [[2, 11]], [[-2, 23]], [[2, 17]], [[-2, 19]], [[2, 5]], [[-2, 13]], [[2, 23]], [[2, 13]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14]], [[2, 6]], [[-2, 10]], [[2, 18]], [[2, 22]], [[-2, 22]], [[-2, 18]], [[-2, 18]], [[-2, 2]], [[-2, 2]], [[2, 10]], [[-2, 6]], [[-2, 6]], [[-2, 10]], [[2, 14]], [[-2, 2]], [[-2, 14]], [[2, 2]], [[2, 6]], [[-2, 14]], [[2, 14]], [[2, 22]], [[2, 2]], [[-2, 22]], [[-2, 22]], [[2, 18]], [[-2, 6]], [[2, 10]], [[2, 18]], [[2, 2]], [[2, 14]], [[2, 10]], [[-2, 10]], [[2, 22]], [[2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192771
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 264, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af16', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 16]], [[-2, 8]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 16]], [[2, 16]], [[-2, 8]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[2, 20]], [[2, 20]], [[0, 0]], [[-2, 12]], [[-2, 4]], [[0, 0]], [[2, 12]], [[2, 4]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 21]], [[2, 3]], [[-2, 9]], [[2, 15]], [[-2, 15]], [[2, 9]], [[-2, 3]], [[2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[-2, 0]], [[-2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14]], [[-2, 22]], [[2, 22]], [[2, 2]], [[-2, 2]], [[2, 14]], [[2, 10]], [[-2, 10]], [[-2, 18]], [[0, 0]], [[2, 6]], [[2, 10]], [[0, 0]], [[2, 18]], [[2, 2]], [[2, 22]], [[-2, 6]], [[-2, 14]], [[-2, 22]], [[2, 14]], [[-2, 10]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[-2, 12]], [[2, 20]], [[2, 4]], [[-2, 20]], [[-2, 20]], [[-2, 4]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[2, 12]], [[-2, 4]], [[2, 20]], [[2, 12]], [[-2, 12]], [[2, 4]], [[2, 12]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 17]], [[2, 19]], [[2, 13]], [[2, 23]], [[2, 7]], [[-2, 23]], [[-2, 5]], [[-2, 13]], [[2, 1]], [[-2, 7]], [[2, 5]], [[-2, 19]], [[2, 11]], [[-2, 1]], [[-2, 11]], [[2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10]], [[-2, 18]], [[2, 14]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[2, 22]], [[2, 22]], [[-2, 14]], [[2, 18]], [[2, 18]], [[2, 14]], [[-2, 10]], [[2, 22]], [[2, 10]], [[-2, 22]], [[-2, 18]], [[2, 10]], [[-2, 10]], [[-2, 2]], [[-2, 22]], [[2, 2]], [[2, 2]], [[-2, 6]], [[2, 18]], [[-2, 14]], [[-2, 6]], [[-2, 22]], [[-2, 10]], [[-2, 14]], [[2, 14]], [[-2, 2]], [[-2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192756
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 250, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af2', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 16]], [[-2, 8]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 16]], [[2, 16]], [[-2, 8]], [[2, 20]], [[-2, 4]], [[2, 4]], [[-2, 20]], [[-2, 20]], [[0, 0]], [[2, 12]], [[2, 4]], [[0, 0]], [[-2, 12]], [[-2, 4]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15]], [[-2, 9]], [[-2, 3]], [[2, 21]], [[-2, 21]], [[2, 3]], [[2, 9]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[-2, 0]], [[-2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 10]], [[-2, 10]], [[-2, 14]], [[2, 14]], [[-2, 2]], [[-2, 22]], [[2, 22]], [[-2, 6]], [[0, 0]], [[2, 18]], [[-2, 22]], [[0, 0]], [[2, 6]], [[-2, 14]], [[-2, 10]], [[-2, 18]], [[2, 2]], [[2, 10]], [[-2, 2]], [[2, 22]], [[0, 0]], [[2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 12]], [[-2, 20]], [[-2, 4]], [[2, 20]], [[2, 20]], [[2, 4]], [[2, 20]], [[-2, 4]], [[2, 4]], [[-2, 12]], [[2, 4]], [[-2, 20]], [[-2, 12]], [[2, 12]], [[-2, 4]], [[-2, 12]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11]], [[2, 1]], [[-2, 7]], [[-2, 5]], [[2, 13]], [[2, 5]], [[-2, 23]], [[2, 7]], [[-2, 19]], [[-2, 13]], [[2, 23]], [[-2, 1]], [[-2, 17]], [[2, 19]], [[2, 17]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[-2, 6]], [[-2, 2]], [[-2, 18]], [[2, 14]], [[-2, 14]], [[2, 18]], [[2, 18]], [[-2, 10]], [[-2, 10]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 2]], [[2, 22]], [[-2, 10]], [[-2, 22]], [[2, 10]], [[-2, 6]], [[-2, 22]], [[2, 22]], [[2, 14]], [[2, 10]], [[-2, 14]], [[-2, 14]], [[-2, 18]], [[2, 6]], [[2, 2]], [[-2, 18]], [[2, 10]], [[2, 22]], [[2, 2]], [[-2, 2]], [[2, 14]], [[-2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192757
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 251, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af3', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 0]], [[-2, 8]], [[2, 16]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 16]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[2, 4]], [[2, 4]], [[0, 0]], [[-2, 12]], [[-2, 20]], [[0, 0]], [[2, 12]], [[2, 20]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 15]], [[-2, 21]], [[2, 3]], [[-2, 3]], [[2, 21]], [[2, 15]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 16]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[-2, 14]], [[2, 14]], [[2, 10]], [[-2, 10]], [[2, 22]], [[2, 2]], [[-2, 2]], [[2, 18]], [[0, 0]], [[-2, 6]], [[2, 2]], [[0, 0]], [[-2, 18]], [[2, 10]], [[2, 14]], [[2, 6]], [[-2, 22]], [[-2, 14]], [[2, 22]], [[-2, 2]], [[0, 0]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[-2, 12]], [[2, 4]], [[2, 20]], [[-2, 4]], [[-2, 4]], [[-2, 20]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[2, 12]], [[-2, 20]], [[2, 4]], [[2, 12]], [[-2, 12]], [[2, 20]], [[2, 12]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 13]], [[2, 23]], [[-2, 17]], [[-2, 19]], [[2, 11]], [[2, 19]], [[-2, 1]], [[2, 17]], [[-2, 5]], [[-2, 11]], [[2, 1]], [[-2, 23]], [[-2, 7]], [[2, 5]], [[2, 7]], [[2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 18]], [[2, 22]], [[2, 6]], [[-2, 10]], [[2, 10]], [[-2, 6]], [[-2, 6]], [[2, 14]], [[2, 14]], [[-2, 22]], [[-2, 18]], [[-2, 18]], [[2, 22]], [[-2, 2]], [[2, 14]], [[2, 2]], [[-2, 14]], [[2, 18]], [[2, 2]], [[-2, 2]], [[-2, 10]], [[-2, 14]], [[2, 10]], [[2, 10]], [[2, 6]], [[-2, 18]], [[-2, 22]], [[2, 6]], [[-2, 14]], [[-2, 2]], [[-2, 22]], [[2, 22]], [[-2, 10]], [[2, 18]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192758
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 252, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af4', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 16]], [[-2, 8]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 16]], [[2, 16]], [[-2, 8]], [[2, 20]], [[-2, 4]], [[2, 4]], [[-2, 20]], [[-2, 20]], [[0, 0]], [[2, 12]], [[2, 4]], [[0, 0]], [[-2, 12]], [[-2, 4]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 15]], [[2, 9]], [[2, 3]], [[-2, 21]], [[2, 21]], [[-2, 3]], [[-2, 9]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[-2, 0]], [[-2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 10]], [[-2, 10]], [[-2, 14]], [[2, 14]], [[-2, 2]], [[-2, 22]], [[2, 22]], [[-2, 6]], [[0, 0]], [[2, 18]], [[-2, 22]], [[0, 0]], [[2, 6]], [[-2, 14]], [[-2, 10]], [[-2, 18]], [[2, 2]], [[2, 10]], [[-2, 2]], [[2, 22]], [[0, 0]], [[2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 12]], [[-2, 20]], [[-2, 4]], [[2, 20]], [[2, 20]], [[2, 4]], [[2, 20]], [[-2, 4]], [[2, 4]], [[-2, 12]], [[2, 4]], [[-2, 20]], [[-2, 12]], [[2, 12]], [[-2, 4]], [[-2, 12]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 1]], [[2, 7]], [[2, 5]], [[-2, 13]], [[-2, 5]], [[2, 23]], [[-2, 7]], [[2, 19]], [[2, 13]], [[-2, 23]], [[2, 1]], [[2, 17]], [[-2, 19]], [[-2, 17]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[-2, 6]], [[-2, 2]], [[-2, 18]], [[2, 14]], [[-2, 14]], [[2, 18]], [[2, 18]], [[-2, 10]], [[-2, 10]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 2]], [[2, 22]], [[-2, 10]], [[-2, 22]], [[2, 10]], [[-2, 6]], [[-2, 22]], [[2, 22]], [[2, 14]], [[2, 10]], [[-2, 14]], [[-2, 14]], [[-2, 18]], [[2, 6]], [[2, 2]], [[-2, 18]], [[2, 10]], [[2, 22]], [[2, 2]], [[-2, 2]], [[2, 14]], [[-2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192759
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 253, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af5', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 0]], [[-2, 8]], [[2, 16]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 16]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[2, 4]], [[2, 4]], [[0, 0]], [[-2, 12]], [[-2, 20]], [[0, 0]], [[2, 12]], [[2, 20]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 21]], [[-2, 3]], [[2, 9]], [[-2, 15]], [[2, 15]], [[-2, 9]], [[2, 3]], [[-2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 16]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 14]], [[-2, 14]], [[-2, 10]], [[2, 10]], [[-2, 22]], [[-2, 2]], [[2, 2]], [[-2, 18]], [[0, 0]], [[2, 6]], [[-2, 2]], [[0, 0]], [[2, 18]], [[-2, 10]], [[-2, 14]], [[-2, 6]], [[2, 22]], [[2, 14]], [[-2, 22]], [[2, 2]], [[0, 0]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[-2, 12]], [[2, 4]], [[2, 20]], [[-2, 4]], [[-2, 4]], [[-2, 20]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[2, 12]], [[-2, 20]], [[2, 4]], [[2, 12]], [[-2, 12]], [[2, 20]], [[2, 12]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 11]], [[2, 5]], [[-2, 7]], [[-2, 23]], [[2, 7]], [[-2, 13]], [[-2, 5]], [[-2, 17]], [[2, 23]], [[2, 13]], [[-2, 11]], [[2, 19]], [[2, 17]], [[-2, 19]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 18]], [[-2, 22]], [[-2, 6]], [[2, 10]], [[-2, 10]], [[2, 6]], [[2, 6]], [[-2, 14]], [[-2, 14]], [[2, 22]], [[2, 18]], [[2, 18]], [[-2, 22]], [[2, 2]], [[-2, 14]], [[-2, 2]], [[2, 14]], [[-2, 18]], [[-2, 2]], [[2, 2]], [[2, 10]], [[2, 14]], [[-2, 10]], [[-2, 10]], [[-2, 6]], [[2, 18]], [[2, 22]], [[-2, 6]], [[2, 14]], [[2, 2]], [[2, 22]], [[-2, 22]], [[2, 10]], [[-2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192760
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 254, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af6', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 16]], [[-2, 8]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 16]], [[2, 16]], [[-2, 8]], [[2, 20]], [[-2, 4]], [[2, 4]], [[-2, 20]], [[-2, 20]], [[0, 0]], [[2, 12]], [[2, 4]], [[0, 0]], [[-2, 12]], [[-2, 4]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 21]], [[-2, 15]], [[2, 9]], [[-2, 9]], [[2, 15]], [[-2, 21]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[-2, 0]], [[-2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 10]], [[2, 10]], [[2, 14]], [[-2, 14]], [[2, 2]], [[2, 22]], [[-2, 22]], [[2, 6]], [[0, 0]], [[-2, 18]], [[2, 22]], [[0, 0]], [[-2, 6]], [[2, 14]], [[2, 10]], [[2, 18]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[-2, 22]], [[0, 0]], [[-2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 12]], [[-2, 20]], [[-2, 4]], [[2, 20]], [[2, 20]], [[2, 4]], [[2, 20]], [[-2, 4]], [[2, 4]], [[-2, 12]], [[2, 4]], [[-2, 20]], [[-2, 12]], [[2, 12]], [[-2, 4]], [[-2, 12]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 23]], [[-2, 13]], [[-2, 19]], [[2, 17]], [[2, 1]], [[-2, 17]], [[2, 11]], [[2, 19]], [[2, 7]], [[-2, 1]], [[-2, 11]], [[2, 13]], [[-2, 5]], [[-2, 7]], [[2, 5]], [[2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 6]], [[2, 2]], [[2, 18]], [[-2, 14]], [[2, 14]], [[-2, 18]], [[-2, 18]], [[2, 10]], [[2, 10]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[-2, 22]], [[2, 10]], [[2, 22]], [[-2, 10]], [[2, 6]], [[2, 22]], [[-2, 22]], [[-2, 14]], [[-2, 10]], [[2, 14]], [[2, 14]], [[2, 18]], [[-2, 6]], [[-2, 2]], [[2, 18]], [[-2, 10]], [[-2, 22]], [[-2, 2]], [[2, 2]], [[-2, 14]], [[2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192761
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 255, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af7', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 0]], [[-2, 8]], [[2, 16]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 16]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[2, 4]], [[2, 4]], [[0, 0]], [[-2, 12]], [[-2, 20]], [[0, 0]], [[2, 12]], [[2, 20]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 21]], [[2, 3]], [[-2, 9]], [[2, 15]], [[-2, 15]], [[2, 9]], [[-2, 3]], [[2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 16]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 14]], [[-2, 14]], [[-2, 10]], [[2, 10]], [[-2, 22]], [[-2, 2]], [[2, 2]], [[-2, 18]], [[0, 0]], [[2, 6]], [[-2, 2]], [[0, 0]], [[2, 18]], [[-2, 10]], [[-2, 14]], [[-2, 6]], [[2, 22]], [[2, 14]], [[-2, 22]], [[2, 2]], [[0, 0]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[-2, 12]], [[2, 4]], [[2, 20]], [[-2, 4]], [[-2, 4]], [[-2, 20]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[2, 12]], [[-2, 20]], [[2, 4]], [[2, 12]], [[-2, 12]], [[2, 20]], [[2, 12]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 11]], [[-2, 5]], [[2, 7]], [[2, 23]], [[-2, 7]], [[2, 13]], [[2, 5]], [[2, 17]], [[-2, 23]], [[-2, 13]], [[2, 11]], [[-2, 19]], [[-2, 17]], [[2, 19]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 18]], [[-2, 22]], [[-2, 6]], [[2, 10]], [[-2, 10]], [[2, 6]], [[2, 6]], [[-2, 14]], [[-2, 14]], [[2, 22]], [[2, 18]], [[2, 18]], [[-2, 22]], [[2, 2]], [[-2, 14]], [[-2, 2]], [[2, 14]], [[-2, 18]], [[-2, 2]], [[2, 2]], [[2, 10]], [[2, 14]], [[-2, 10]], [[-2, 10]], [[-2, 6]], [[2, 18]], [[2, 22]], [[-2, 6]], [[2, 14]], [[2, 2]], [[2, 22]], [[-2, 22]], [[2, 10]], [[-2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192762
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 256, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af8', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 16]], [[-2, 8]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 16]], [[2, 16]], [[-2, 8]], [[2, 20]], [[-2, 4]], [[2, 4]], [[-2, 20]], [[-2, 20]], [[0, 0]], [[2, 12]], [[2, 4]], [[0, 0]], [[-2, 12]], [[-2, 4]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 21]], [[2, 15]], [[-2, 9]], [[2, 9]], [[-2, 15]], [[2, 21]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[-2, 0]], [[-2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 10]], [[2, 10]], [[2, 14]], [[-2, 14]], [[2, 2]], [[2, 22]], [[-2, 22]], [[2, 6]], [[0, 0]], [[-2, 18]], [[2, 22]], [[0, 0]], [[-2, 6]], [[2, 14]], [[2, 10]], [[2, 18]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[-2, 22]], [[0, 0]], [[-2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 12]], [[-2, 20]], [[-2, 4]], [[2, 20]], [[2, 20]], [[2, 4]], [[2, 20]], [[-2, 4]], [[2, 4]], [[-2, 12]], [[2, 4]], [[-2, 20]], [[-2, 12]], [[2, 12]], [[-2, 4]], [[-2, 12]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 23]], [[2, 13]], [[2, 19]], [[-2, 17]], [[-2, 1]], [[2, 17]], [[-2, 11]], [[-2, 19]], [[-2, 7]], [[2, 1]], [[2, 11]], [[-2, 13]], [[2, 5]], [[2, 7]], [[-2, 5]], [[-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 6]], [[2, 2]], [[2, 18]], [[-2, 14]], [[2, 14]], [[-2, 18]], [[-2, 18]], [[2, 10]], [[2, 10]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[-2, 22]], [[2, 10]], [[2, 22]], [[-2, 10]], [[2, 6]], [[2, 22]], [[-2, 22]], [[-2, 14]], [[-2, 10]], [[2, 14]], [[2, 14]], [[2, 18]], [[-2, 6]], [[-2, 2]], [[2, 18]], [[-2, 10]], [[-2, 22]], [[-2, 2]], [[2, 2]], [[-2, 14]], [[2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192763
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 257, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.b1.a1', 'kernel_order': 9, 'label': '1728.8372.2af9', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 0]], [[-2, 8]], [[2, 16]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[-2, 0]], [[-2, 16]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 16]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[2, 4]], [[-2, 20]], [[2, 20]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[2, 12]], [[2, 20]], [[0, 0]], [[-2, 12]], [[-2, 20]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15]], [[-2, 9]], [[-2, 3]], [[2, 21]], [[-2, 21]], [[2, 3]], [[2, 9]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 0]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 16]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[-2, 2]], [[2, 2]], [[2, 22]], [[-2, 22]], [[2, 10]], [[2, 14]], [[-2, 14]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 14]], [[0, 0]], [[2, 6]], [[2, 22]], [[2, 2]], [[-2, 18]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[-2, 14]], [[0, 0]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 12]], [[-2, 4]], [[-2, 20]], [[2, 4]], [[2, 4]], [[2, 20]], [[2, 4]], [[-2, 20]], [[2, 20]], [[-2, 12]], [[2, 20]], [[-2, 4]], [[-2, 12]], [[2, 12]], [[-2, 20]], [[-2, 12]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 19]], [[2, 17]], [[-2, 23]], [[2, 13]], [[-2, 5]], [[-2, 13]], [[-2, 7]], [[2, 23]], [[2, 11]], [[2, 5]], [[2, 7]], [[-2, 17]], [[-2, 1]], [[-2, 11]], [[2, 1]], [[-2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14]], [[-2, 6]], [[2, 10]], [[-2, 18]], [[-2, 22]], [[2, 22]], [[2, 18]], [[2, 18]], [[2, 2]], [[2, 2]], [[-2, 10]], [[2, 6]], [[2, 6]], [[2, 10]], [[-2, 14]], [[2, 2]], [[2, 14]], [[-2, 2]], [[-2, 6]], [[2, 14]], [[-2, 14]], [[-2, 22]], [[-2, 2]], [[2, 22]], [[2, 22]], [[-2, 18]], [[2, 6]], [[-2, 10]], [[-2, 18]], [[-2, 2]], [[-2, 14]], [[-2, 10]], [[2, 10]], [[-2, 22]], [[-2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192772
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 265, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag1', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[2, 6]], [[-1, 18]], [[-1, 30]], [[-2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[-2, 30]], [[-1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 33]], [[2, 33]], [[-2, 21]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[2, 3]], [[2, 21]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 15]], [[-2, 33]], [[2, 21]], [[-2, 21]], [[-2, 33]], [[1, 33]], [[-1, 21]], [[1, 3]], [[1, 21]], [[-1, 9]], [[1, 21]], [[-1, 27]], [[1, 27]], [[1, 15]], [[1, 15]], [[1, 9]], [[-1, 3]], [[-1, 15]], [[1, 27]], [[-1, 33]], [[-1, 3]], [[1, 3]], [[-1, 21]], [[-1, 15]], [[-1, 27]], [[1, 33]], [[-1, 9]], [[1, 9]], [[-1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [1, 23]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 23]], [[1, 13], [-1, 17]], [[1, 11], [1, 19]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [-1, 5]], [[1, 1], [1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 7], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 5], [1, 13]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]]]}
  • id: 25192782
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 274, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag10', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[-2, 30]], [[1, 18]], [[1, 6]], [[2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[2, 6]], [[1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[-2, 3]], [[-2, 3]], [[2, 15]], [[2, 21]], [[2, 21]], [[-2, 21]], [[-2, 33]], [[-2, 15]], [[2, 33]], [[-2, 33]], [[2, 33]], [[-2, 21]], [[2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[1, 15]], [[-1, 33]], [[-1, 15]], [[1, 27]], [[-1, 15]], [[1, 9]], [[-1, 9]], [[-1, 21]], [[-1, 21]], [[-1, 27]], [[1, 33]], [[1, 21]], [[-1, 9]], [[1, 3]], [[1, 33]], [[-1, 33]], [[1, 15]], [[1, 21]], [[1, 9]], [[-1, 3]], [[1, 27]], [[-1, 27]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 1], [1, 17]], [[-1, 19], [1, 23]], [[-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 11], [1, 19]], [[1, 7], [-1, 11]], [[-1, 7], [-1, 11], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[1, 5], [1, 13]], [[1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[1, 7], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[-1, 1], [1, 13], [1, 17]], [[1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 7], [1, 11]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 17]]]}
  • id: 25192783
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 275, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag11', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[2, 6]], [[-1, 18]], [[-1, 30]], [[-2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[-2, 30]], [[-1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[-2, 33]], [[-2, 33]], [[2, 21]], [[2, 15]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 21]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 15]], [[2, 33]], [[-2, 21]], [[2, 21]], [[2, 33]], [[-1, 33]], [[1, 21]], [[-1, 3]], [[-1, 21]], [[1, 9]], [[-1, 21]], [[1, 27]], [[-1, 27]], [[-1, 15]], [[-1, 15]], [[-1, 9]], [[1, 3]], [[1, 15]], [[-1, 27]], [[1, 33]], [[1, 3]], [[-1, 3]], [[1, 21]], [[1, 15]], [[1, 27]], [[-1, 33]], [[1, 9]], [[-1, 9]], [[1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 11], [1, 19], [1, 23]], [[1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 13]], [[-1, 5], [-1, 13]], [[-1, 7], [-1, 23]], [[1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [-1, 11]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 19], [1, 23]], [[-1, 13], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 5]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [-1, 11], [1, 23]], [[1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[1, 1], [-1, 5]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 11], [1, 19]], [[-1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 7], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 13], [1, 17]], [[1, 7], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 23]]]}
  • id: 25192784
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 276, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag12', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[-2, 30]], [[1, 18]], [[1, 6]], [[2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[2, 6]], [[1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[2, 3]], [[2, 3]], [[-2, 15]], [[-2, 21]], [[-2, 21]], [[2, 21]], [[2, 33]], [[2, 15]], [[-2, 33]], [[2, 33]], [[-2, 33]], [[2, 21]], [[-2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[-1, 15]], [[1, 33]], [[1, 15]], [[-1, 27]], [[1, 15]], [[-1, 9]], [[1, 9]], [[1, 21]], [[1, 21]], [[1, 27]], [[-1, 33]], [[-1, 21]], [[1, 9]], [[-1, 3]], [[-1, 33]], [[1, 33]], [[-1, 15]], [[-1, 21]], [[-1, 9]], [[1, 3]], [[-1, 27]], [[1, 27]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 1], [-1, 17]], [[1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 5]], [[1, 7], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[1, 7], [1, 11], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5]], [[-1, 5], [-1, 13]], [[-1, 13], [1, 17]], [[-1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[1, 7], [1, 11], [-1, 19]], [[1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 7], [-1, 11]], [[1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 1], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 17]]]}
  • id: 25192785
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 277, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag13', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[-2, 6]], [[1, 18]], [[1, 30]], [[2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[2, 30]], [[1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 15]], [[2, 15]], [[-2, 3]], [[-2, 33]], [[-2, 33]], [[2, 33]], [[2, 21]], [[2, 3]], [[-2, 21]], [[2, 21]], [[-2, 21]], [[2, 33]], [[-2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[-1, 3]], [[1, 21]], [[1, 3]], [[1, 27]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 33]], [[1, 33]], [[-1, 27]], [[-1, 21]], [[-1, 33]], [[-1, 9]], [[-1, 15]], [[-1, 21]], [[1, 21]], [[-1, 3]], [[-1, 33]], [[1, 9]], [[1, 15]], [[1, 27]], [[-1, 27]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [-1, 23]], [[1, 5], [1, 13]], [[1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[1, 11], [1, 19]], [[-1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [-1, 5]], [[1, 5], [-1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 7], [1, 11], [-1, 23]], [[-1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 13]], [[1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5]], [[1, 7], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[1, 11], [1, 19]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [1, 23]], [[-1, 1], [1, 5]], [[1, 1], [1, 17]], [[-1, 5], [1, 13], [1, 17]]]}
  • id: 25192786
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 278, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag14', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[2, 30]], [[-1, 18]], [[-1, 6]], [[-2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[-2, 6]], [[-1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[-2, 21]], [[-2, 21]], [[2, 33]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 33]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 3]], [[2, 21]], [[-2, 33]], [[2, 33]], [[2, 21]], [[-1, 21]], [[1, 33]], [[-1, 15]], [[-1, 33]], [[-1, 9]], [[-1, 33]], [[-1, 27]], [[1, 27]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[1, 27]], [[1, 21]], [[1, 15]], [[-1, 15]], [[1, 33]], [[1, 3]], [[-1, 27]], [[-1, 21]], [[-1, 9]], [[1, 9]], [[1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 7], [-1, 11]], [[-1, 1], [1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[1, 13], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 5], [-1, 13]], [[-1, 5], [1, 13], [1, 17]], [[-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5]], [[-1, 1], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 11], [1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 13], [1, 17]], [[1, 1], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [1, 23]], [[1, 1], [1, 17]], [[1, 7], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 11], [-1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 11], [1, 19]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 5], [1, 13]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [-1, 23]]]}
  • id: 25192787
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 279, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag15', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[-2, 6]], [[1, 18]], [[1, 30]], [[2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[2, 30]], [[1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-2, 15]], [[-2, 15]], [[2, 3]], [[2, 33]], [[2, 33]], [[-2, 33]], [[-2, 21]], [[-2, 3]], [[2, 21]], [[-2, 21]], [[2, 21]], [[-2, 33]], [[2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[1, 3]], [[-1, 21]], [[-1, 3]], [[-1, 27]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 33]], [[-1, 33]], [[1, 27]], [[1, 21]], [[1, 33]], [[1, 9]], [[1, 15]], [[1, 21]], [[-1, 21]], [[1, 3]], [[1, 33]], [[-1, 9]], [[-1, 15]], [[-1, 27]], [[1, 27]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 19], [1, 23]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 23]], [[1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [1, 17]], [[-1, 1], [1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [1, 5]], [[-1, 5], [1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 7], [-1, 11], [1, 23]], [[1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 1], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]]]}
  • id: 25192789
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 280, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag16', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[2, 30]], [[-1, 18]], [[-1, 6]], [[-2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[-2, 6]], [[-1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[2, 21]], [[2, 21]], [[-2, 33]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 15]], [[2, 33]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 3]], [[-2, 21]], [[2, 33]], [[-2, 33]], [[-2, 21]], [[1, 21]], [[-1, 33]], [[1, 15]], [[1, 33]], [[1, 9]], [[1, 33]], [[1, 27]], [[-1, 27]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[-1, 27]], [[-1, 21]], [[-1, 15]], [[1, 15]], [[-1, 33]], [[-1, 3]], [[1, 27]], [[1, 21]], [[1, 9]], [[-1, 9]], [[-1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 7], [1, 11]], [[1, 1], [-1, 13], [-1, 17]], [[1, 11], [1, 19]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 13], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 5], [1, 13]], [[1, 5], [-1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[1, 1], [1, 17]], [[1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5]], [[1, 7], [1, 11], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [1, 11]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [1, 5]], [[1, 11], [1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 23]], [[1, 1], [-1, 5]], [[1, 7], [1, 11], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 11], [-1, 19]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 5], [-1, 13]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 17]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [1, 23]]]}
  • id: 25192790
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 281, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag17', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[-2, 6]], [[1, 18]], [[1, 30]], [[2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[2, 30]], [[1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[2, 15]], [[2, 15]], [[-2, 3]], [[-2, 33]], [[-2, 33]], [[2, 33]], [[2, 21]], [[2, 3]], [[-2, 21]], [[2, 21]], [[-2, 21]], [[2, 33]], [[-2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[-1, 3]], [[1, 21]], [[1, 3]], [[1, 27]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 33]], [[1, 33]], [[-1, 27]], [[-1, 21]], [[-1, 33]], [[-1, 9]], [[-1, 15]], [[-1, 21]], [[1, 21]], [[-1, 3]], [[-1, 33]], [[1, 9]], [[1, 15]], [[1, 27]], [[-1, 27]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 5], [-1, 13]], [[1, 7], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 23]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 11], [-1, 19]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 13]], [[-1, 13], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [1, 5]]]}
  • id: 25192791
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 282, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag18', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[2, 30]], [[-1, 18]], [[-1, 6]], [[-2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[-2, 6]], [[-1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 21]], [[-2, 21]], [[2, 33]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 33]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 3]], [[2, 21]], [[-2, 33]], [[2, 33]], [[2, 21]], [[-1, 21]], [[1, 33]], [[-1, 15]], [[-1, 33]], [[-1, 9]], [[-1, 33]], [[-1, 27]], [[1, 27]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[1, 27]], [[1, 21]], [[1, 15]], [[-1, 15]], [[1, 33]], [[1, 3]], [[-1, 27]], [[-1, 21]], [[-1, 9]], [[1, 9]], [[1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 11]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[1, 11], [1, 19]], [[1, 13], [-1, 17]], [[1, 1], [1, 17]], [[-1, 1], [1, 5]], [[1, 7], [1, 11], [-1, 23]], [[-1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[-1, 7], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[-1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 1], [-1, 5]], [[1, 11], [1, 19]], [[1, 7], [-1, 11]], [[1, 7], [-1, 11], [-1, 19], [1, 23]]]}
  • id: 25192792
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 283, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag19', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[-2, 6]], [[1, 18]], [[1, 30]], [[2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[2, 30]], [[1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[-2, 15]], [[-2, 15]], [[2, 3]], [[2, 33]], [[2, 33]], [[-2, 33]], [[-2, 21]], [[-2, 3]], [[2, 21]], [[-2, 21]], [[2, 21]], [[-2, 33]], [[2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[1, 3]], [[-1, 21]], [[-1, 3]], [[-1, 27]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 33]], [[-1, 33]], [[1, 27]], [[1, 21]], [[1, 33]], [[1, 9]], [[1, 15]], [[1, 21]], [[-1, 21]], [[1, 3]], [[1, 33]], [[-1, 9]], [[-1, 15]], [[-1, 27]], [[1, 27]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 5], [1, 13]], [[-1, 7], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 7], [1, 11]], [[1, 7], [1, 11], [-1, 19]], [[1, 5], [1, 13]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 13]], [[1, 11], [1, 19]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[1, 13], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [-1, 5]]]}
  • id: 25192773
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 266, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag2', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[-2, 30]], [[1, 18]], [[1, 6]], [[2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[2, 6]], [[1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[-2, 3]], [[-2, 3]], [[2, 15]], [[2, 21]], [[2, 21]], [[-2, 21]], [[-2, 33]], [[-2, 15]], [[2, 33]], [[-2, 33]], [[2, 33]], [[-2, 21]], [[2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[1, 15]], [[-1, 33]], [[-1, 15]], [[1, 27]], [[-1, 15]], [[1, 9]], [[-1, 9]], [[-1, 21]], [[-1, 21]], [[-1, 27]], [[1, 33]], [[1, 21]], [[-1, 9]], [[1, 3]], [[1, 33]], [[-1, 33]], [[1, 15]], [[1, 21]], [[1, 9]], [[-1, 3]], [[1, 27]], [[-1, 27]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5]], [[1, 7], [1, 11], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 19]], [[1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 11], [1, 19]], [[-1, 1], [1, 13], [1, 17]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 13]], [[1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 5], [1, 13], [1, 17]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 23]], [[-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [1, 5]], [[1, 7], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 7], [-1, 11], [1, 19]], [[1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 1], [1, 5], [-1, 13]]]}
  • id: 25192793
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 284, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag20', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[2, 30]], [[-1, 18]], [[-1, 6]], [[-2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[-2, 6]], [[-1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[2, 21]], [[2, 21]], [[-2, 33]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 15]], [[2, 33]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 3]], [[-2, 21]], [[2, 33]], [[-2, 33]], [[-2, 21]], [[1, 21]], [[-1, 33]], [[1, 15]], [[1, 33]], [[1, 9]], [[1, 33]], [[1, 27]], [[-1, 27]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[-1, 27]], [[-1, 21]], [[-1, 15]], [[1, 15]], [[-1, 33]], [[-1, 3]], [[1, 27]], [[1, 21]], [[1, 9]], [[-1, 9]], [[-1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 11]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 17]], [[-1, 11], [-1, 19]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 11]], [[1, 7], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 11], [1, 19]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 19], [-1, 23]], [[1, 7], [1, 23]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[-1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 23]], [[-1, 13], [1, 17]], [[1, 1], [1, 17]], [[1, 13], [-1, 17]], [[1, 11], [1, 19]], [[-1, 1], [1, 5]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 1], [1, 5]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[-1, 7], [1, 11], [1, 19], [-1, 23]]]}
  • id: 25192794
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 285, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag21', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[-2, 6]], [[1, 18]], [[1, 30]], [[2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[2, 30]], [[1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[2, 15]], [[2, 15]], [[-2, 3]], [[-2, 33]], [[-2, 33]], [[2, 33]], [[2, 21]], [[2, 3]], [[-2, 21]], [[2, 21]], [[-2, 21]], [[2, 33]], [[-2, 15]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[-1, 3]], [[1, 21]], [[1, 3]], [[1, 27]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 33]], [[1, 33]], [[-1, 27]], [[-1, 21]], [[-1, 33]], [[-1, 9]], [[-1, 15]], [[-1, 21]], [[1, 21]], [[-1, 3]], [[-1, 33]], [[1, 9]], [[1, 15]], [[1, 27]], [[-1, 27]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 1], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 5], [-1, 13]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [-1, 11]], [[1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 23]], [[1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 5]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 7], [1, 19], [1, 23]], [[-1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[1, 7], [1, 23]], [[1, 1], [-1, 5]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [1, 5]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 7], [1, 11]], [[1, 7], [1, 11], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 11], [-1, 19]], [[-1, 5], [1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 13], [-1, 17]]]}
  • id: 25192795
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 286, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag22', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[2, 30]], [[-1, 18]], [[-1, 6]], [[-2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[-2, 6]], [[-1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[-2, 21]], [[-2, 21]], [[2, 33]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 33]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 3]], [[2, 21]], [[-2, 33]], [[2, 33]], [[2, 21]], [[-1, 21]], [[1, 33]], [[-1, 15]], [[-1, 33]], [[-1, 9]], [[-1, 33]], [[-1, 27]], [[1, 27]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[1, 27]], [[1, 21]], [[1, 15]], [[-1, 15]], [[1, 33]], [[1, 3]], [[-1, 27]], [[-1, 21]], [[-1, 9]], [[1, 9]], [[1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [1, 11], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [1, 5]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 5], [-1, 13]], [[-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [1, 23]], [[-1, 11], [-1, 19]], [[-1, 5], [-1, 13]], [[-1, 11], [-1, 19]], [[1, 1], [1, 17]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 11], [1, 19]], [[-1, 5], [1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 13], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [1, 19]]]}
  • id: 25192796
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 287, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag23', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[-2, 6]], [[1, 18]], [[1, 30]], [[2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[2, 30]], [[1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[-2, 15]], [[-2, 15]], [[2, 3]], [[2, 33]], [[2, 33]], [[-2, 33]], [[-2, 21]], [[-2, 3]], [[2, 21]], [[-2, 21]], [[2, 21]], [[-2, 33]], [[2, 15]], [[-2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[1, 3]], [[-1, 21]], [[-1, 3]], [[-1, 27]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 33]], [[-1, 33]], [[1, 27]], [[1, 21]], [[1, 33]], [[1, 9]], [[1, 15]], [[1, 21]], [[-1, 21]], [[1, 3]], [[1, 33]], [[-1, 9]], [[-1, 15]], [[-1, 27]], [[1, 27]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [1, 5]], [[1, 5], [1, 13]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 23]], [[-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[1, 7], [-1, 19], [-1, 23]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 19], [1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 5]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 23]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [-1, 5]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 11], [1, 19]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 17]], [[-1, 19], [1, 23]], [[1, 11], [1, 19]], [[1, 5], [-1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 13], [1, 17]]]}
  • id: 25192797
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 288, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag24', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[2, 30]], [[-1, 18]], [[-1, 6]], [[-2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[-2, 6]], [[-1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[2, 21]], [[2, 21]], [[-2, 33]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 15]], [[2, 33]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 3]], [[-2, 21]], [[2, 33]], [[-2, 33]], [[-2, 21]], [[1, 21]], [[-1, 33]], [[1, 15]], [[1, 33]], [[1, 9]], [[1, 33]], [[1, 27]], [[-1, 27]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[-1, 27]], [[-1, 21]], [[-1, 15]], [[1, 15]], [[-1, 33]], [[-1, 3]], [[1, 27]], [[1, 21]], [[1, 9]], [[-1, 9]], [[-1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[1, 1], [1, 5], [-1, 13]], [[1, 5], [1, 13]], [[1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[1, 11], [1, 19]], [[1, 5], [1, 13]], [[1, 11], [1, 19]], [[-1, 1], [-1, 17]], [[1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 13], [1, 17]], [[1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 11], [-1, 19]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [-1, 19]]]}
  • id: 25192774
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 267, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag3', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[2, 6]], [[-1, 18]], [[-1, 30]], [[-2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[-2, 30]], [[-1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-2, 33]], [[-2, 33]], [[2, 21]], [[2, 15]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 21]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 15]], [[2, 33]], [[-2, 21]], [[2, 21]], [[2, 33]], [[-1, 33]], [[1, 21]], [[-1, 3]], [[-1, 21]], [[1, 9]], [[-1, 21]], [[1, 27]], [[-1, 27]], [[-1, 15]], [[-1, 15]], [[-1, 9]], [[1, 3]], [[1, 15]], [[-1, 27]], [[1, 33]], [[1, 3]], [[-1, 3]], [[1, 21]], [[1, 15]], [[1, 27]], [[-1, 33]], [[1, 9]], [[-1, 9]], [[1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 11], [1, 19]], [[1, 1], [-1, 5]], [[-1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5]], [[1, 7], [1, 23]], [[-1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [1, 5]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 11], [1, 19]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 7], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 5], [1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]]]}
  • id: 25192775
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 268, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag4', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[-2, 30]], [[1, 18]], [[1, 6]], [[2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[2, 6]], [[1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[2, 3]], [[2, 3]], [[-2, 15]], [[-2, 21]], [[-2, 21]], [[2, 21]], [[2, 33]], [[2, 15]], [[-2, 33]], [[2, 33]], [[-2, 33]], [[2, 21]], [[-2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[-1, 15]], [[1, 33]], [[1, 15]], [[-1, 27]], [[1, 15]], [[-1, 9]], [[1, 9]], [[1, 21]], [[1, 21]], [[1, 27]], [[-1, 33]], [[-1, 21]], [[1, 9]], [[-1, 3]], [[-1, 33]], [[1, 33]], [[-1, 15]], [[-1, 21]], [[-1, 9]], [[1, 3]], [[-1, 27]], [[1, 27]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 5]], [[-1, 5], [1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 11], [1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 11], [1, 19]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 11], [-1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 5], [-1, 13], [-1, 17]], [[1, 1], [-1, 5]], [[1, 7], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 7], [1, 11], [-1, 19]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]]]}
  • id: 25192776
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 269, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag5', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[2, 6]], [[-1, 18]], [[-1, 30]], [[-2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[-2, 30]], [[-1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[2, 33]], [[2, 33]], [[-2, 21]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[2, 3]], [[2, 21]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 15]], [[-2, 33]], [[2, 21]], [[-2, 21]], [[-2, 33]], [[1, 33]], [[-1, 21]], [[1, 3]], [[1, 21]], [[-1, 9]], [[1, 21]], [[-1, 27]], [[1, 27]], [[1, 15]], [[1, 15]], [[1, 9]], [[-1, 3]], [[-1, 15]], [[1, 27]], [[-1, 33]], [[-1, 3]], [[1, 3]], [[-1, 21]], [[-1, 15]], [[-1, 27]], [[1, 33]], [[-1, 9]], [[1, 9]], [[-1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 11]], [[1, 7], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [1, 5]], [[1, 1], [1, 17]], [[1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 11]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [1, 13], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 23]], [[-1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 5], [1, 13]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 11], [1, 19]], [[-1, 1], [1, 5]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5]], [[1, 7], [1, 11], [-1, 23]], [[-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 13]], [[1, 11], [1, 19]], [[1, 1], [-1, 5]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [-1, 11]], [[1, 19], [-1, 23]]]}
  • id: 25192778
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 270, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag6', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[-2, 30]], [[1, 18]], [[1, 6]], [[2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[2, 6]], [[1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 3]], [[-2, 3]], [[2, 15]], [[2, 21]], [[2, 21]], [[-2, 21]], [[-2, 33]], [[-2, 15]], [[2, 33]], [[-2, 33]], [[2, 33]], [[-2, 21]], [[2, 3]], [[-2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[1, 15]], [[-1, 33]], [[-1, 15]], [[1, 27]], [[-1, 15]], [[1, 9]], [[-1, 9]], [[-1, 21]], [[-1, 21]], [[-1, 27]], [[1, 33]], [[1, 21]], [[-1, 9]], [[1, 3]], [[1, 33]], [[-1, 33]], [[1, 15]], [[1, 21]], [[1, 9]], [[-1, 3]], [[1, 27]], [[-1, 27]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 22]], [[1, 2], [1, 10]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[-1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 7], [1, 11]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 11], [1, 19]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 19]], [[-1, 11], [-1, 19]], [[1, 7], [-1, 11]], [[1, 7], [1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [1, 5], [-1, 17]], [[-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [1, 23]], [[-1, 11], [-1, 19]], [[1, 1], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 5]], [[1, 1], [1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [-1, 23]], [[-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 13], [-1, 17]]]}
  • id: 25192779
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 271, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag7', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[2, 6]], [[-1, 18]], [[-1, 30]], [[-2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[-2, 30]], [[-1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[-2, 33]], [[-2, 33]], [[2, 21]], [[2, 15]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 21]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 15]], [[2, 33]], [[-2, 21]], [[2, 21]], [[2, 33]], [[-1, 33]], [[1, 21]], [[-1, 3]], [[-1, 21]], [[1, 9]], [[-1, 21]], [[1, 27]], [[-1, 27]], [[-1, 15]], [[-1, 15]], [[-1, 9]], [[1, 3]], [[1, 15]], [[-1, 27]], [[1, 33]], [[1, 3]], [[-1, 3]], [[1, 21]], [[1, 15]], [[1, 27]], [[-1, 33]], [[1, 9]], [[-1, 9]], [[1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 1], [-1, 17]], [[-1, 13], [1, 17]], [[1, 11], [1, 19]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 11]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [-1, 13], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 5], [-1, 13]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[1, 1], [1, 17]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 19], [1, 23]]]}
  • id: 25192780
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 272, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag8', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[-2, 24]], [[2, 12]], [[-1, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[2, 24]], [[1, 0]], [[1, 24]], [[-2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[-2, 30]], [[1, 18]], [[1, 6]], [[2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[2, 6]], [[1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[2, 3]], [[2, 3]], [[-2, 15]], [[-2, 21]], [[-2, 21]], [[2, 21]], [[2, 33]], [[2, 15]], [[-2, 33]], [[2, 33]], [[-2, 33]], [[2, 21]], [[-2, 3]], [[2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[-1, 15]], [[1, 33]], [[1, 15]], [[-1, 27]], [[1, 15]], [[-1, 9]], [[1, 9]], [[1, 21]], [[1, 21]], [[1, 27]], [[-1, 33]], [[-1, 21]], [[1, 9]], [[-1, 3]], [[-1, 33]], [[1, 33]], [[-1, 15]], [[-1, 21]], [[-1, 9]], [[1, 3]], [[-1, 27]], [[1, 27]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 22]], [[1, 2], [1, 10]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [-1, 11]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[1, 7], [1, 11], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[1, 11], [1, 19]], [[-1, 7], [1, 11]], [[-1, 7], [-1, 23]], [[1, 5], [1, 13]], [[-1, 1], [-1, 5], [1, 17]], [[1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [-1, 23]], [[1, 11], [1, 19]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 5]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [1, 23]], [[1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 13], [1, 17]]]}
  • id: 25192781
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 273, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.c1.a1', 'kernel_order': 4, 'label': '1728.8372.2ag9', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[2, 12]], [[-2, 24]], [[1, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[-2, 12]], [[1, 0]], [[-1, 12]], [[2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[2, 6]], [[-1, 18]], [[-1, 30]], [[-2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[-2, 30]], [[-1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[2, 33]], [[2, 33]], [[-2, 21]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[2, 3]], [[2, 21]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 15]], [[-2, 33]], [[2, 21]], [[-2, 21]], [[-2, 33]], [[1, 33]], [[-1, 21]], [[1, 3]], [[1, 21]], [[-1, 9]], [[1, 21]], [[-1, 27]], [[1, 27]], [[1, 15]], [[1, 15]], [[1, 9]], [[-1, 3]], [[-1, 15]], [[1, 27]], [[-1, 33]], [[-1, 3]], [[1, 3]], [[-1, 21]], [[-1, 15]], [[-1, 27]], [[1, 33]], [[-1, 9]], [[1, 9]], [[-1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[-1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 23]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[1, 5], [1, 13]], [[1, 7], [1, 23]], [[-1, 13], [1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [1, 11]], [[-1, 5], [1, 13], [1, 17]], [[1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [1, 11], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [1, 17]], [[1, 1], [-1, 5]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 11], [-1, 19]], [[1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 11], [1, 19]], [[-1, 7], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 23]]]}
  • id: 25192798
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 289, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah1', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[-2, 6]], [[-1, 18]], [[-1, 30]], [[2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[2, 30]], [[-1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[2, 33]], [[-2, 33]], [[2, 21]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[2, 21]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 33]], [[-2, 21]], [[-2, 21]], [[-2, 33]], [[1, 33]], [[1, 21]], [[-1, 3]], [[-1, 21]], [[1, 9]], [[1, 21]], [[1, 27]], [[-1, 27]], [[-1, 15]], [[1, 15]], [[1, 9]], [[-1, 3]], [[-1, 15]], [[1, 27]], [[-1, 33]], [[1, 3]], [[1, 3]], [[-1, 21]], [[1, 15]], [[-1, 27]], [[-1, 33]], [[-1, 9]], [[-1, 9]], [[1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 11], [1, 19]], [[-1, 1], [1, 5]], [[1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 23]], [[-1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [-1, 5]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[-1, 1], [1, 5]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 7], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 5], [1, 13], [1, 17]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]]]}
  • id: 25192808
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 298, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah10', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[2, 30]], [[1, 18]], [[1, 6]], [[-2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[-2, 6]], [[1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-2, 3]], [[2, 3]], [[-2, 15]], [[2, 21]], [[-2, 21]], [[-2, 21]], [[-2, 33]], [[-2, 15]], [[-2, 33]], [[2, 33]], [[2, 33]], [[2, 21]], [[-2, 3]], [[2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[-1, 15]], [[1, 33]], [[1, 15]], [[-1, 27]], [[-1, 15]], [[-1, 9]], [[1, 9]], [[1, 21]], [[-1, 21]], [[-1, 27]], [[1, 33]], [[1, 21]], [[-1, 9]], [[1, 3]], [[-1, 33]], [[-1, 33]], [[1, 15]], [[-1, 21]], [[1, 9]], [[1, 3]], [[1, 27]], [[1, 27]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 1], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 5]], [[1, 5], [1, 13]], [[-1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 7], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [-1, 5]], [[1, 7], [1, 11], [-1, 19]], [[1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[-1, 1], [1, 13], [1, 17]], [[1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 7], [-1, 11]], [[1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 17]]]}
  • id: 25192809
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 299, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah11', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[-2, 6]], [[-1, 18]], [[-1, 30]], [[2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[2, 30]], [[-1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-2, 33]], [[2, 33]], [[-2, 21]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 21]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 33]], [[2, 21]], [[2, 21]], [[2, 33]], [[-1, 33]], [[-1, 21]], [[1, 3]], [[1, 21]], [[-1, 9]], [[-1, 21]], [[-1, 27]], [[1, 27]], [[1, 15]], [[-1, 15]], [[-1, 9]], [[1, 3]], [[1, 15]], [[-1, 27]], [[1, 33]], [[-1, 3]], [[-1, 3]], [[1, 21]], [[-1, 15]], [[1, 27]], [[1, 33]], [[1, 9]], [[1, 9]], [[-1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 11], [-1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [1, 23]], [[-1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 13]], [[1, 5], [1, 13]], [[-1, 7], [-1, 23]], [[-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [-1, 11]], [[-1, 5], [1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [1, 11], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 19], [1, 23]], [[1, 1], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 11], [1, 19]], [[-1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[1, 11], [1, 19]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[1, 7], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 23]]]}
  • id: 25192812
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 300, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah12', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[2, 30]], [[1, 18]], [[1, 6]], [[-2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[-2, 6]], [[1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[2, 3]], [[-2, 3]], [[2, 15]], [[-2, 21]], [[2, 21]], [[2, 21]], [[2, 33]], [[2, 15]], [[2, 33]], [[-2, 33]], [[-2, 33]], [[-2, 21]], [[2, 3]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[1, 15]], [[-1, 33]], [[-1, 15]], [[1, 27]], [[1, 15]], [[1, 9]], [[-1, 9]], [[-1, 21]], [[1, 21]], [[1, 27]], [[-1, 33]], [[-1, 21]], [[1, 9]], [[-1, 3]], [[1, 33]], [[1, 33]], [[-1, 15]], [[1, 21]], [[-1, 9]], [[-1, 3]], [[-1, 27]], [[-1, 27]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 1], [1, 17]], [[1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[1, 5], [1, 13]], [[1, 1], [-1, 5]], [[1, 7], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 11], [1, 19]], [[1, 7], [-1, 11]], [[1, 7], [1, 11], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[-1, 5], [-1, 13]], [[1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 7], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 5]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 5], [1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[-1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 1], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 17]]]}
  • id: 25192813
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 301, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah13', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[2, 6]], [[1, 18]], [[1, 30]], [[-2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[-2, 30]], [[1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[2, 15]], [[-2, 15]], [[2, 3]], [[-2, 33]], [[2, 33]], [[2, 33]], [[2, 21]], [[2, 3]], [[2, 21]], [[-2, 21]], [[-2, 21]], [[-2, 33]], [[2, 15]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[1, 3]], [[-1, 21]], [[-1, 3]], [[-1, 27]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 33]], [[1, 33]], [[-1, 27]], [[-1, 21]], [[-1, 33]], [[-1, 9]], [[-1, 15]], [[1, 21]], [[1, 21]], [[-1, 3]], [[1, 33]], [[1, 9]], [[-1, 15]], [[1, 27]], [[1, 27]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [-1, 23]], [[1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [1, 23]], [[1, 5], [1, 13]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [1, 5]], [[-1, 5], [1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 7], [1, 11], [-1, 23]], [[1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[-1, 11], [-1, 19]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 7], [1, 23]], [[1, 1], [-1, 5]], [[-1, 1], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]]]}
  • id: 25192814
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 302, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah14', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, 16]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[-2, 30]], [[-1, 18]], [[-1, 6]], [[2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[2, 6]], [[-1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-2, 21]], [[2, 21]], [[-2, 33]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 33]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 21]], [[2, 33]], [[2, 33]], [[2, 21]], [[-1, 21]], [[-1, 33]], [[1, 15]], [[1, 33]], [[1, 9]], [[-1, 33]], [[1, 27]], [[-1, 27]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[1, 27]], [[1, 21]], [[-1, 15]], [[-1, 15]], [[1, 33]], [[-1, 3]], [[-1, 27]], [[1, 21]], [[-1, 9]], [[-1, 9]], [[-1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 7], [1, 11]], [[-1, 1], [1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[1, 13], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 5], [1, 13]], [[-1, 5], [1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[1, 1], [1, 17]], [[-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 11], [-1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [-1, 11]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[1, 1], [1, 17]], [[1, 7], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 17]], [[1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [1, 5]], [[1, 11], [1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 5]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 11], [1, 19]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 5], [-1, 13]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [1, 23]]]}
  • id: 25192815
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 303, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah15', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[2, 6]], [[1, 18]], [[1, 30]], [[-2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[-2, 30]], [[1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-2, 15]], [[2, 15]], [[-2, 3]], [[2, 33]], [[-2, 33]], [[-2, 33]], [[-2, 21]], [[-2, 3]], [[-2, 21]], [[2, 21]], [[2, 21]], [[2, 33]], [[-2, 15]], [[2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[-1, 3]], [[1, 21]], [[1, 3]], [[1, 27]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 33]], [[-1, 33]], [[1, 27]], [[1, 21]], [[1, 33]], [[1, 9]], [[1, 15]], [[-1, 21]], [[-1, 21]], [[1, 3]], [[-1, 33]], [[-1, 9]], [[1, 15]], [[-1, 27]], [[-1, 27]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 19], [1, 23]], [[1, 1], [-1, 5]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [1, 23]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 7], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [-1, 5]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 11]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 13]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 5]], [[1, 7], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[1, 11], [1, 19]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 5]], [[1, 1], [1, 17]], [[-1, 5], [1, 13], [1, 17]]]}
  • id: 25192816
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 304, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah16', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, 16]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[-2, 30]], [[-1, 18]], [[-1, 6]], [[2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[2, 6]], [[-1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[2, 21]], [[-2, 21]], [[2, 33]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[2, 33]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 21]], [[-2, 33]], [[-2, 33]], [[-2, 21]], [[1, 21]], [[1, 33]], [[-1, 15]], [[-1, 33]], [[-1, 9]], [[1, 33]], [[-1, 27]], [[1, 27]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[-1, 27]], [[-1, 21]], [[1, 15]], [[1, 15]], [[-1, 33]], [[1, 3]], [[1, 27]], [[-1, 21]], [[1, 9]], [[1, 9]], [[1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 7], [-1, 11]], [[1, 1], [-1, 13], [-1, 17]], [[1, 11], [1, 19]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 23]], [[-1, 13], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 5], [-1, 13]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 5]], [[-1, 1], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 5]], [[1, 7], [1, 11], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 11], [1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [-1, 5]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 23]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 11], [-1, 19]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 5], [1, 13]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [-1, 23]]]}
  • id: 25192817
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 305, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah17', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 8], [1, 16], [1, 20]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[2, 6]], [[1, 18]], [[1, 30]], [[-2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[-2, 30]], [[1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[2, 15]], [[-2, 15]], [[2, 3]], [[-2, 33]], [[2, 33]], [[2, 33]], [[2, 21]], [[2, 3]], [[2, 21]], [[-2, 21]], [[-2, 21]], [[-2, 33]], [[2, 15]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[1, 3]], [[-1, 21]], [[-1, 3]], [[-1, 27]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 33]], [[1, 33]], [[-1, 27]], [[-1, 21]], [[-1, 33]], [[-1, 9]], [[-1, 15]], [[1, 21]], [[1, 21]], [[-1, 3]], [[1, 33]], [[1, 9]], [[-1, 15]], [[1, 27]], [[1, 27]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 5], [1, 13]], [[1, 7], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [1, 11]], [[1, 7], [1, 11], [-1, 19]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[1, 11], [1, 19]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 13], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [-1, 5]]]}
  • id: 25192818
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 306, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah18', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[-1, 4], [-1, 20]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[-2, 30]], [[-1, 18]], [[-1, 6]], [[2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[2, 6]], [[-1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[-2, 21]], [[2, 21]], [[-2, 33]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 33]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 21]], [[2, 33]], [[2, 33]], [[2, 21]], [[-1, 21]], [[-1, 33]], [[1, 15]], [[1, 33]], [[1, 9]], [[-1, 33]], [[1, 27]], [[-1, 27]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[1, 27]], [[1, 21]], [[-1, 15]], [[-1, 15]], [[1, 33]], [[-1, 3]], [[-1, 27]], [[1, 21]], [[-1, 9]], [[-1, 9]], [[-1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 11]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[1, 11], [1, 19]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[1, 7], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [1, 19]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 1], [-1, 5], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[-1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 23]], [[1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [-1, 5]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[-1, 7], [1, 11], [1, 19], [-1, 23]]]}
  • id: 25192819
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 307, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah19', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 8], [1, 16], [1, 20]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[2, 6]], [[1, 18]], [[1, 30]], [[-2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[-2, 30]], [[1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[-2, 15]], [[2, 15]], [[-2, 3]], [[2, 33]], [[-2, 33]], [[-2, 33]], [[-2, 21]], [[-2, 3]], [[-2, 21]], [[2, 21]], [[2, 21]], [[2, 33]], [[-2, 15]], [[2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[-1, 3]], [[1, 21]], [[1, 3]], [[1, 27]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 33]], [[-1, 33]], [[1, 27]], [[1, 21]], [[1, 33]], [[1, 9]], [[1, 15]], [[-1, 21]], [[-1, 21]], [[1, 3]], [[-1, 33]], [[-1, 9]], [[1, 15]], [[-1, 27]], [[-1, 27]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 5], [-1, 13]], [[-1, 7], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [-1, 11]], [[-1, 7], [-1, 11], [1, 19]], [[1, 5], [1, 13]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 13]], [[-1, 11], [-1, 19]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5]], [[-1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 13]], [[1, 13], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 19], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 19]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [1, 5]]]}
  • id: 25192800
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 290, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah2', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, 16]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[2, 30]], [[1, 18]], [[1, 6]], [[-2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[-2, 6]], [[1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-2, 3]], [[2, 3]], [[-2, 15]], [[2, 21]], [[-2, 21]], [[-2, 21]], [[-2, 33]], [[-2, 15]], [[-2, 33]], [[2, 33]], [[2, 33]], [[2, 21]], [[-2, 3]], [[2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[-1, 15]], [[1, 33]], [[1, 15]], [[-1, 27]], [[-1, 15]], [[-1, 9]], [[1, 9]], [[1, 21]], [[-1, 21]], [[-1, 27]], [[1, 33]], [[1, 21]], [[-1, 9]], [[1, 3]], [[-1, 33]], [[-1, 33]], [[1, 15]], [[-1, 21]], [[1, 9]], [[1, 3]], [[1, 27]], [[1, 27]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 13], [-1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[-1, 5], [1, 13], [1, 17]], [[-1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[1, 5], [1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 11], [1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 11]], [[-1, 11], [-1, 19]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 11], [1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 13]], [[1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [1, 11]], [[1, 5], [-1, 13], [-1, 17]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [1, 5]], [[1, 7], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]]]}
  • id: 25192820
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 308, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah20', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[-1, 4], [-1, 20]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[-2, 30]], [[-1, 18]], [[-1, 6]], [[2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[2, 6]], [[-1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[2, 21]], [[-2, 21]], [[2, 33]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[2, 33]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 21]], [[-2, 33]], [[-2, 33]], [[-2, 21]], [[1, 21]], [[1, 33]], [[-1, 15]], [[-1, 33]], [[-1, 9]], [[1, 33]], [[-1, 27]], [[1, 27]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[-1, 27]], [[-1, 21]], [[1, 15]], [[1, 15]], [[-1, 33]], [[1, 3]], [[1, 27]], [[-1, 21]], [[1, 9]], [[1, 9]], [[1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 22]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 1], [-1, 5]], [[1, 7], [1, 11], [-1, 23]], [[-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 11]], [[-1, 7], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 13]], [[1, 1], [1, 5], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 19], [-1, 23]], [[1, 7], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 13], [1, 17]], [[1, 11], [1, 19]], [[1, 1], [-1, 5]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [1, 5]], [[1, 11], [1, 19]], [[1, 7], [-1, 11]], [[1, 7], [-1, 11], [-1, 19], [1, 23]]]}
  • id: 25192821
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 309, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah21', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[2, 6]], [[1, 18]], [[1, 30]], [[-2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[-2, 30]], [[1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[2, 15]], [[-2, 15]], [[2, 3]], [[-2, 33]], [[2, 33]], [[2, 33]], [[2, 21]], [[2, 3]], [[2, 21]], [[-2, 21]], [[-2, 21]], [[-2, 33]], [[2, 15]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[1, 15]], [[1, 3]], [[-1, 21]], [[-1, 3]], [[-1, 27]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 33]], [[1, 33]], [[-1, 27]], [[-1, 21]], [[-1, 33]], [[-1, 9]], [[-1, 15]], [[1, 21]], [[1, 21]], [[-1, 3]], [[1, 33]], [[1, 9]], [[-1, 15]], [[1, 27]], [[1, 27]], [[1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 1], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 5], [-1, 13]], [[1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [1, 11]], [[1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 23]], [[1, 13], [-1, 17]], [[1, 5], [1, 13]], [[1, 1], [-1, 5]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 19], [-1, 23]], [[1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 5]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [1, 5]], [[1, 7], [-1, 11]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [-1, 11]], [[-1, 7], [-1, 11], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 1], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 11], [-1, 19]], [[1, 5], [-1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 13], [1, 17]]]}
  • id: 25192823
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 310, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah22', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[-2, 30]], [[-1, 18]], [[-1, 6]], [[2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[2, 6]], [[-1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-2, 21]], [[2, 21]], [[-2, 33]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[-2, 33]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[-2, 21]], [[2, 33]], [[2, 33]], [[2, 21]], [[-1, 21]], [[-1, 33]], [[1, 15]], [[1, 33]], [[1, 9]], [[-1, 33]], [[1, 27]], [[-1, 27]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 15]], [[1, 3]], [[1, 27]], [[1, 21]], [[-1, 15]], [[-1, 15]], [[1, 33]], [[-1, 3]], [[-1, 27]], [[1, 21]], [[-1, 9]], [[-1, 9]], [[-1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [-1, 11], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [1, 5]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[-1, 1], [-1, 5], [1, 13]], [[1, 5], [1, 13]], [[1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [-1, 23]], [[1, 11], [1, 19]], [[-1, 5], [-1, 13]], [[-1, 11], [-1, 19]], [[1, 1], [1, 17]], [[-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 11], [1, 19]], [[-1, 5], [1, 13], [1, 17]], [[-1, 19], [1, 23]], [[1, 7], [1, 11], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [-1, 5]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 13], [1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 11], [-1, 19]]]}
  • id: 25192824
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 311, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah23', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[2, 6]], [[2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[-1, 18]], [[2, 6]], [[1, 18]], [[1, 30]], [[-2, 6]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[1, 18]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 30]], [[-2, 30]], [[1, 6]], [[2, 30]], [[-1, 30]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 30]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-2, 15]], [[2, 15]], [[-2, 3]], [[2, 33]], [[-2, 33]], [[-2, 33]], [[-2, 21]], [[-2, 3]], [[-2, 21]], [[2, 21]], [[2, 21]], [[2, 33]], [[-2, 15]], [[2, 3]], [[2, 3]], [[2, 15]], [[-1, 15]], [[-1, 3]], [[1, 21]], [[1, 3]], [[1, 27]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 33]], [[-1, 33]], [[1, 27]], [[1, 21]], [[1, 33]], [[1, 9]], [[1, 15]], [[-1, 21]], [[-1, 21]], [[1, 3]], [[-1, 33]], [[-1, 9]], [[1, 15]], [[-1, 27]], [[-1, 27]], [[-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 10], [-1, 14]], [[1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[1, 1], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [1, 5]], [[1, 5], [1, 13]], [[-1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [-1, 11]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 19], [1, 23]], [[-1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 19], [1, 23]], [[1, 13], [-1, 17]], [[1, 7], [1, 23]], [[1, 1], [-1, 5]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 23]], [[1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [-1, 5]], [[-1, 7], [1, 11]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [1, 11]], [[1, 7], [1, 11], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 17]], [[1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 17]], [[1, 19], [-1, 23]], [[1, 11], [1, 19]], [[-1, 5], [1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[1, 1], [-1, 13], [-1, 17]]]}
  • id: 25192825
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 312, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah24', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 8], [1, 16], [1, 20]], [[-2, 30]], [[-2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[1, 18]], [[-2, 30]], [[-1, 18]], [[-1, 6]], [[2, 30]], [[1, 18]], [[-1, 30]], [[1, 6]], [[-1, 18]], [[1, 30]], [[1, 6]], [[1, 30]], [[-1, 6]], [[2, 6]], [[-1, 30]], [[-2, 6]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[-1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[2, 21]], [[-2, 21]], [[2, 33]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[2, 33]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[2, 21]], [[-2, 33]], [[-2, 33]], [[-2, 21]], [[1, 21]], [[1, 33]], [[-1, 15]], [[-1, 33]], [[-1, 9]], [[1, 33]], [[-1, 27]], [[1, 27]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 3]], [[-1, 27]], [[-1, 21]], [[1, 15]], [[1, 15]], [[-1, 33]], [[1, 3]], [[1, 27]], [[-1, 21]], [[1, 9]], [[1, 9]], [[1, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [1, 11], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [1, 11]], [[1, 1], [-1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [-1, 5]], [[1, 1], [1, 5], [-1, 13]], [[-1, 5], [-1, 13]], [[-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [1, 23]], [[-1, 11], [-1, 19]], [[1, 5], [1, 13]], [[1, 11], [1, 19]], [[-1, 1], [-1, 17]], [[1, 13], [-1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 11], [-1, 19]], [[1, 5], [-1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [1, 5]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 11], [1, 19]]]}
  • id: 25192801
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 291, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah3', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 8], [1, 16]], [[-1, 4], [1, 8]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, 16]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, 20]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, -8]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[-2, 6]], [[-1, 18]], [[-1, 30]], [[2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[2, 30]], [[-1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-2, 33]], [[2, 33]], [[-2, 21]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 21]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 33]], [[2, 21]], [[2, 21]], [[2, 33]], [[-1, 33]], [[-1, 21]], [[1, 3]], [[1, 21]], [[-1, 9]], [[-1, 21]], [[-1, 27]], [[1, 27]], [[1, 15]], [[-1, 15]], [[-1, 9]], [[1, 3]], [[1, 15]], [[-1, 27]], [[1, 33]], [[-1, 3]], [[-1, 3]], [[1, 21]], [[-1, 15]], [[1, 27]], [[1, 33]], [[1, 9]], [[1, 9]], [[-1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 11], [-1, 19]], [[1, 1], [-1, 5]], [[-1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [1, 23]], [[1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5]], [[1, 7], [1, 23]], [[1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [1, 5]], [[1, 1], [1, 17]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [1, 11]], [[-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[1, 1], [-1, 5]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 7], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 5], [1, 13]], [[1, 5], [-1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 11]], [[1, 1], [-1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 13]], [[1, 19], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]]]}
  • id: 25192802
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 292, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah4', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, 16]], [[1, 8], [1, -8]], [[-1, 4], [1, 8]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[2, 30]], [[1, 18]], [[1, 6]], [[-2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[-2, 6]], [[1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[2, 3]], [[-2, 3]], [[2, 15]], [[-2, 21]], [[2, 21]], [[2, 21]], [[2, 33]], [[2, 15]], [[2, 33]], [[-2, 33]], [[-2, 33]], [[-2, 21]], [[2, 3]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[1, 15]], [[-1, 33]], [[-1, 15]], [[1, 27]], [[1, 15]], [[1, 9]], [[-1, 9]], [[-1, 21]], [[1, 21]], [[1, 27]], [[-1, 33]], [[-1, 21]], [[1, 9]], [[-1, 3]], [[1, 33]], [[1, 33]], [[-1, 15]], [[1, 21]], [[-1, 9]], [[-1, 3]], [[-1, 27]], [[-1, 27]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[1, 2], [1, 10]], [[1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 1], [1, 13], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5]], [[1, 5], [-1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 5]], [[1, 7], [1, 11], [-1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 19]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 11], [-1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 11]], [[1, 11], [1, 19]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[-1, 11], [-1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 19], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 5], [1, 13], [1, 17]], [[-1, 1], [1, 5]], [[1, 7], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 7], [1, 11], [-1, 19]], [[1, 13], [-1, 17]], [[1, 1], [1, 17]], [[1, 1], [1, 5], [-1, 13]]]}
  • id: 25192803
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 293, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah5', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 8], [1, 16], [1, 20]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[-2, 6]], [[-1, 18]], [[-1, 30]], [[2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[2, 30]], [[-1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[2, 33]], [[-2, 33]], [[2, 21]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[2, 21]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 33]], [[-2, 21]], [[-2, 21]], [[-2, 33]], [[1, 33]], [[1, 21]], [[-1, 3]], [[-1, 21]], [[1, 9]], [[1, 21]], [[1, 27]], [[-1, 27]], [[-1, 15]], [[1, 15]], [[1, 9]], [[-1, 3]], [[-1, 15]], [[1, 27]], [[-1, 33]], [[1, 3]], [[1, 3]], [[-1, 21]], [[1, 15]], [[-1, 27]], [[-1, 33]], [[-1, 9]], [[-1, 9]], [[1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 11]], [[-1, 7], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [-1, 5]], [[-1, 1], [-1, 17]], [[1, 13], [-1, 17]], [[1, 11], [1, 19]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [1, 5], [-1, 13]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 5], [1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 23]], [[1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[1, 5], [-1, 13], [-1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[1, 5], [1, 13]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[1, 1], [1, 17]], [[-1, 1], [1, 5]], [[1, 7], [1, 11], [-1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [-1, 5], [1, 13]], [[1, 11], [1, 19]], [[1, 1], [-1, 5]], [[1, 7], [-1, 19], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 7], [1, 11]], [[-1, 19], [1, 23]]]}
  • id: 25192804
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 294, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah6', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[-1, 4], [-1, 20]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[2, 30]], [[1, 18]], [[1, 6]], [[-2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[-2, 6]], [[1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[-2, 3]], [[2, 3]], [[-2, 15]], [[2, 21]], [[-2, 21]], [[-2, 21]], [[-2, 33]], [[-2, 15]], [[-2, 33]], [[2, 33]], [[2, 33]], [[2, 21]], [[-2, 3]], [[2, 15]], [[2, 15]], [[2, 3]], [[-1, 3]], [[-1, 15]], [[1, 33]], [[1, 15]], [[-1, 27]], [[-1, 15]], [[-1, 9]], [[1, 9]], [[1, 21]], [[-1, 21]], [[-1, 27]], [[1, 33]], [[1, 21]], [[-1, 9]], [[1, 3]], [[-1, 33]], [[-1, 33]], [[1, 15]], [[-1, 21]], [[1, 9]], [[1, 3]], [[1, 27]], [[1, 27]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 22]], [[1, 2], [1, 10]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[1, 5], [1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 5], [1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5]], [[1, 7], [1, 11], [-1, 23]], [[1, 7], [-1, 11]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[-1, 1], [-1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [1, 17]], [[-1, 19], [1, 23]], [[-1, 1], [-1, 17]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[1, 7], [1, 11], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [1, 11], [-1, 19]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[-1, 7], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [-1, 5], [1, 17]], [[1, 13], [-1, 17]], [[1, 7], [-1, 11]], [[-1, 13], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [1, 23]], [[1, 11], [1, 19]], [[1, 1], [1, 17]], [[-1, 7], [1, 19], [1, 23]], [[-1, 7], [-1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [-1, 19], [-1, 23]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[1, 1], [-1, 5]], [[1, 1], [1, 5], [-1, 13]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[1, 1], [-1, 5]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 19], [-1, 23]], [[-1, 5], [-1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 5], [1, 13]], [[1, 7], [1, 23]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 13], [1, 17]]]}
  • id: 25192805
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 295, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah7', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[-2, 27]], [[2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[-1, 8], [1, 16], [1, 20]], [[1, 16], [1, -16]], [[1, 8], [1, 16]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[-2, 6]], [[-1, 18]], [[-1, 30]], [[2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[2, 30]], [[-1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, 16]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[-2, 33]], [[2, 33]], [[-2, 21]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[-2, 21]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 15]], [[-2, 33]], [[2, 21]], [[2, 21]], [[2, 33]], [[-1, 33]], [[-1, 21]], [[1, 3]], [[1, 21]], [[-1, 9]], [[-1, 21]], [[-1, 27]], [[1, 27]], [[1, 15]], [[-1, 15]], [[-1, 9]], [[1, 3]], [[1, 15]], [[-1, 27]], [[1, 33]], [[-1, 3]], [[-1, 3]], [[1, 21]], [[-1, 15]], [[1, 27]], [[1, 33]], [[1, 9]], [[1, 9]], [[-1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [-1, 10]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [1, 14]], [[1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [1, 10]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 7], [1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [1, 11]], [[1, 7], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [1, 5]], [[1, 1], [1, 17]], [[-1, 13], [1, 17]], [[-1, 11], [-1, 19]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 13], [-1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[1, 7], [1, 23]], [[1, 7], [-1, 11]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 23]], [[-1, 19], [1, 23]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 19], [-1, 23]], [[1, 5], [1, 13]], [[-1, 5], [1, 13], [1, 17]], [[-1, 1], [1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 5], [-1, 13]], [[-1, 19], [1, 23]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 17]], [[-1, 5], [-1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 11], [1, 19]], [[1, 1], [-1, 5]], [[-1, 1], [-1, 17]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 13], [1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [1, 11]], [[1, 1], [1, 5], [-1, 13]], [[-1, 11], [-1, 19]], [[-1, 1], [1, 5]], [[-1, 7], [1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 7], [-1, 11]], [[1, 19], [-1, 23]]]}
  • id: 25192806
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 296, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah8', 'nt': [144, 24], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[-2, 12]], [[-1, 0]], [[1, 12]], [[2, 24]], [[-2, 12]], [[-1, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[-1, 8], [1, 16], [1, 20]], [[1, 8], [1, 16]], [[2, 12]], [[-2, 24]], [[-2, 24]], [[2, 12]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[1, 24]], [[2, 12]], [[1, 0]], [[1, 24]], [[-1, 12]], [[1, 0]], [[-1, 12]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 8], [1, 16]], [[-1, 8], [1, 16], [1, 20]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, -8]], [[-1, 4], [-1, 20]], [[1, 16], [1, -16]], [[1, 4], [-1, 16], [-1, 20]], [[2, 30]], [[2, 6]], [[2, 6]], [[-2, 30]], [[-2, 30]], [[2, 30]], [[-2, 6]], [[-2, 6]], [[-1, 18]], [[2, 30]], [[1, 18]], [[1, 6]], [[-2, 30]], [[-1, 18]], [[1, 30]], [[-1, 6]], [[1, 18]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[-2, 6]], [[1, 30]], [[2, 6]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 30]], [[1, 6]], [[1, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [1, 20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 8], [-1, 16]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 4], [1, 16], [1, 20]], [[2, 3]], [[-2, 3]], [[2, 15]], [[-2, 21]], [[2, 21]], [[2, 21]], [[2, 33]], [[2, 15]], [[2, 33]], [[-2, 33]], [[-2, 33]], [[-2, 21]], [[2, 3]], [[-2, 15]], [[-2, 15]], [[-2, 3]], [[1, 3]], [[1, 15]], [[-1, 33]], [[-1, 15]], [[1, 27]], [[1, 15]], [[1, 9]], [[-1, 9]], [[-1, 21]], [[1, 21]], [[1, 27]], [[-1, 33]], [[-1, 21]], [[1, 9]], [[-1, 3]], [[1, 33]], [[1, 33]], [[-1, 15]], [[1, 21]], [[-1, 9]], [[-1, 3]], [[-1, 27]], [[-1, 27]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[-1, 2], [1, 10], [1, 14]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 22]], [[1, 10], [-1, 14]], [[1, 14], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[-1, 2], [1, 22]], [[1, 2], [1, 10]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 22]], [[1, 10], [1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[1, 14], [1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 22]], [[-1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 1], [1, 5], [-1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 19], [1, 23]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 7], [1, 11]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[1, 19], [-1, 23]], [[1, 1], [1, 17]], [[1, 11], [1, 19]], [[1, 1], [-1, 5]], [[-1, 7], [-1, 11], [1, 23]], [[1, 5], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [-1, 11], [1, 19]], [[1, 11], [1, 19]], [[1, 7], [-1, 11]], [[1, 7], [1, 23]], [[1, 5], [1, 13]], [[1, 1], [1, 5], [-1, 17]], [[-1, 13], [1, 17]], [[-1, 7], [1, 11]], [[1, 13], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 7], [-1, 23]], [[-1, 11], [-1, 19]], [[-1, 1], [-1, 17]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 7], [1, 19], [1, 23]], [[-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 23]], [[-1, 5], [1, 13], [1, 17]], [[-1, 1], [1, 5]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 1], [1, 5]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 11], [1, 19], [1, 23]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 19], [1, 23]], [[1, 5], [1, 13]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 5], [-1, 13]], [[-1, 7], [-1, 23]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 13], [-1, 17]]]}
  • id: 25192807
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 297, 'cyclotomic_n': 72, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '432.105', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1.a1', 'kernel_order': 4, 'label': '1728.8372.2ah9', 'nt': [144, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[1, 12]], [[-1, 24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 24]], [[-1, 0]], [[-1, 24]], [[-2, 12]], [[2, 24]], [[1, 12]], [[-1, 0]], [[-1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 4], [-1, 20]], [[-1, 4], [1, 8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 16]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-2, 24]], [[2, 12]], [[2, 12]], [[-2, 24]], [[1, 24]], [[2, 12]], [[1, 0]], [[-1, 12]], [[-2, 24]], [[1, 0]], [[-1, 12]], [[1, 24]], [[1, 0]], [[1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[2, 27]], [[-2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[-1, 4], [1, 8]], [[1, 8], [1, 16]], [[1, 16], [1, -16]], [[-1, 4], [-1, 20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[-1, 8], [1, 16], [1, 20]], [[-1, 8], [1, 16], [1, 20]], [[1, 4], [-1, 8], [-1, 16], [1, 20]], [[1, 8], [1, 16]], [[1, 8], [1, -8]], [[1, 4], [-1, 16], [-1, 20]], [[1, 16], [1, -16]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 20]], [[-2, 6]], [[-2, 30]], [[-2, 30]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 30]], [[2, 30]], [[1, 18]], [[-2, 6]], [[-1, 18]], [[-1, 30]], [[2, 6]], [[1, 18]], [[-1, 6]], [[1, 30]], [[-1, 18]], [[1, 6]], [[1, 30]], [[1, 6]], [[-1, 30]], [[2, 30]], [[-1, 6]], [[-2, 30]], [[1, 30]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 30]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [-1, 8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, 20]], [[1, 4], [1, -4]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 8], [1, 16], [-1, 20]], [[1, 8], [-1, 16], [-1, 20]], [[-1, 4], [1, 16], [1, 20]], [[1, 4], [-1, 8]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 16]], [[1, 4], [1, -4]], [[1, 4], [1, 20]], [[2, 33]], [[-2, 33]], [[2, 21]], [[-2, 15]], [[2, 15]], [[2, 15]], [[2, 3]], [[2, 21]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 15]], [[2, 33]], [[-2, 21]], [[-2, 21]], [[-2, 33]], [[1, 33]], [[1, 21]], [[-1, 3]], [[-1, 21]], [[1, 9]], [[1, 21]], [[1, 27]], [[-1, 27]], [[-1, 15]], [[1, 15]], [[1, 9]], [[-1, 3]], [[-1, 15]], [[1, 27]], [[-1, 33]], [[1, 3]], [[1, 3]], [[-1, 21]], [[1, 15]], [[-1, 27]], [[-1, 33]], [[-1, 9]], [[-1, 9]], [[1, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 22]], [[-1, 2], [1, 10], [-1, 22]], [[1, 2], [1, 10]], [[-1, 14], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 10], [1, 14]], [[-1, 14], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 2], [1, 22]], [[1, 10], [-1, 14]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 10], [-1, 14]], [[1, 2], [-1, 10], [-1, 14]], [[-1, 10], [1, 14]], [[-1, 10], [1, 14]], [[1, 10], [1, 14], [-1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 14], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14], [1, 22]], [[-1, 2], [-1, 10]], [[1, 14], [1, 22]], [[1, 2], [-1, 10], [1, 22]], [[-1, 10], [-1, 14], [1, 22]], [[1, 2], [1, 10], [-1, 14], [-1, 22]], [[-1, 10], [1, 14]], [[-1, 2], [1, 10], [-1, 22]], [[-1, 2], [-1, 10], [1, 14], [1, 22]], [[1, 2], [-1, 22]], [[1, 2], [-1, 14], [1, 22]], [[1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14], [-1, 22]], [[1, 14], [1, 22]], [[-1, 2], [1, 22]], [[1, 2], [-1, 10], [-1, 14]], [[1, 2], [-1, 10], [1, 22]], [[-1, 14], [-1, 22]], [[-1, 2], [1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 14], [-1, 22]], [[-1, 11], [1, 19], [1, 23]], [[-1, 13], [1, 17]], [[-1, 19], [1, 23]], [[-1, 7], [1, 19], [1, 23]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [1, 11], [-1, 19]], [[-1, 1], [1, 13], [1, 17]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[-1, 1], [-1, 5], [1, 17]], [[-1, 7], [-1, 23]], [[1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[-1, 5], [-1, 13]], [[1, 7], [1, 23]], [[1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 13], [1, 17]], [[1, 7], [-1, 11]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [1, 11]], [[1, 5], [-1, 13], [-1, 17]], [[1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 13]], [[1, 7], [-1, 11], [-1, 19], [1, 23]], [[1, 7], [-1, 19], [-1, 23]], [[-1, 19], [1, 23]], [[1, 13], [-1, 17]], [[1, 5], [-1, 13], [-1, 17]], [[1, 5], [1, 13]], [[-1, 1], [1, 5]], [[1, 11], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 19]], [[-1, 7], [-1, 11], [1, 23]], [[-1, 5], [-1, 13]], [[1, 7], [1, 11], [-1, 23]], [[1, 1], [1, 17]], [[1, 1], [-1, 5]], [[-1, 5], [1, 13], [1, 17]], [[1, 7], [-1, 11]], [[1, 1], [1, 17]], [[-1, 1], [1, 5]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[1, 1], [1, 5], [-1, 13]], [[1, 19], [-1, 23]], [[-1, 1], [-1, 17]], [[-1, 7], [-1, 11], [1, 23]], [[1, 1], [1, 5], [-1, 13]], [[-1, 7], [1, 11], [1, 19], [-1, 23]], [[-1, 11], [-1, 19]], [[1, 19], [-1, 23]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[-1, 1], [-1, 17]], [[-1, 11], [-1, 19]], [[1, 7], [1, 23]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 1], [1, 5], [1, 13], [-1, 17]], [[1, 1], [-1, 13], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[-1, 1], [-1, 5], [1, 17]], [[1, 11], [-1, 19], [-1, 23]], [[-1, 7], [1, 19], [1, 23]], [[-1, 13], [1, 17]], [[-1, 7], [-1, 23]], [[-1, 1], [1, 13], [1, 17]], [[-1, 11], [1, 19], [1, 23]], [[1, 1], [-1, 5]], [[1, 1], [1, 5], [-1, 17]], [[-1, 7], [-1, 11], [1, 19]], [[1, 7], [-1, 19], [-1, 23]], [[1, 7], [1, 11], [-1, 23]]]}
  • id: 25192946
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 98, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.g1.b1', 'kernel_order': 144, 'label': '1728.8372.2b', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 25192947
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 99, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.g1.a1', 'kernel_order': 144, 'label': '1728.8372.2c', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 25192590
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 100, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 144, 'label': '1728.8372.2d', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 25192591
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 101, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.a1', 'kernel_order': 96, 'label': '1728.8372.2e1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]]]}
  • id: 25192592
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 102, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.a1', 'kernel_order': 96, 'label': '1728.8372.2e2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]]]}
  • id: 25192593
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 103, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.g1.a1', 'kernel_order': 72, 'label': '1728.8372.2f1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 25192594
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 104, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.g1.a1', 'kernel_order': 72, 'label': '1728.8372.2f2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 25192595
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 105, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 72, 'label': '1728.8372.2g1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 25192596
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 106, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 72, 'label': '1728.8372.2g2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 25192597
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 107, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 48, 'label': '1728.8372.2h1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-2, -1]], [[2, 0]], [[2, -1]], [[-2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[-2, 1]], [[2, 0]], [[2, -1]], [[-2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, -1]], [[2, -1]], [[-2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 0]], [[-2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[2, -1]], [[-2, -1]], [[-2, -1]], [[2, 1]], [[-2, 0]], [[2, 1]], [[-2, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]]]}
  • id: 25192598
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 108, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 48, 'label': '1728.8372.2h2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-2, 1]], [[2, 0]], [[2, 1]], [[-2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[-2, -1]], [[2, 0]], [[2, 1]], [[-2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[-2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, -1]], [[-2, 0]], [[2, -1]], [[-2, 0]], [[2, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]]]}
  • id: 25192599
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 109, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 48, 'label': '1728.8372.2i1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-2, -1]], [[2, 0]], [[2, -1]], [[-2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[-2, 1]], [[2, 0]], [[2, -1]], [[-2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-2, -1]], [[-2, -1]], [[2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[2, -1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[-2, -1]], [[2, -1]], [[2, -1]], [[-2, 1]], [[2, 0]], [[-2, 1]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 0]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, -1]]]}
  • id: 25192601
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 110, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 48, 'label': '1728.8372.2i2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-2, 1]], [[2, 0]], [[2, 1]], [[-2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[-2, -1]], [[2, 0]], [[2, 1]], [[-2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[-2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, -1]], [[2, 0]], [[-2, -1]], [[2, 0]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 1]]]}
  • id: 25192602
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 111, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 48, 'label': '1728.8372.2j1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]]]}
  • id: 25192603
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 112, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 48, 'label': '1728.8372.2j2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]]]}
  • id: 25192604
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 113, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '18.1', 'image_order': 18, 'indicator': 1, 'kernel': '18.a1.a1', 'kernel_order': 96, 'label': '1728.8372.2k1', 'nt': [9, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]]]}
  • id: 25192605
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 114, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '18.1', 'image_order': 18, 'indicator': 1, 'kernel': '18.a1.a1', 'kernel_order': 96, 'label': '1728.8372.2k2', 'nt': [9, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 25192606
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 115, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '18.1', 'image_order': 18, 'indicator': 1, 'kernel': '18.a1.a1', 'kernel_order': 96, 'label': '1728.8372.2k3', 'nt': [9, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 25192607
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 116, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.c1.b1', 'kernel_order': 48, 'label': '1728.8372.2l1', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]]]}
  • id: 25192608
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 117, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.c1.b1', 'kernel_order': 48, 'label': '1728.8372.2l2', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 25192609
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 118, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.c1.b1', 'kernel_order': 48, 'label': '1728.8372.2l3', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 25192610
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 119, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.c1.a1', 'kernel_order': 48, 'label': '1728.8372.2m1', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 25192612
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 120, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.c1.a1', 'kernel_order': 48, 'label': '1728.8372.2m2', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 25192613
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 121, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.c1.a1', 'kernel_order': 48, 'label': '1728.8372.2m3', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 25192614
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 122, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.a1.a1', 'kernel_order': 48, 'label': '1728.8372.2n1', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 25192615
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 123, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.a1.a1', 'kernel_order': 48, 'label': '1728.8372.2n2', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 25192616
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 124, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.a1.a1', 'kernel_order': 48, 'label': '1728.8372.2n3', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 25192617
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 125, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.e1.a1', 'kernel_order': 36, 'label': '1728.8372.2o1', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]]]}
  • id: 25192618
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 126, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.e1.a1', 'kernel_order': 36, 'label': '1728.8372.2o2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[2, 1]], [[2, 1]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 25192619
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 127, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.e1.a1', 'kernel_order': 36, 'label': '1728.8372.2o3', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, 3]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]]]}
  • id: 25192620
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 128, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.e1.a1', 'kernel_order': 36, 'label': '1728.8372.2o4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 25192621
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 129, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.a1.a1', 'kernel_order': 36, 'label': '1728.8372.2p1', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 3]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]]]}
  • id: 25192623
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 130, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.a1.a1', 'kernel_order': 36, 'label': '1728.8372.2p2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 25192624
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 131, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.a1.a1', 'kernel_order': 36, 'label': '1728.8372.2p3', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]]]}
  • id: 25192625
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 132, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.a1.a1', 'kernel_order': 36, 'label': '1728.8372.2p4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 1]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 25192626
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 133, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.27', 'image_order': 72, 'indicator': 0, 'kernel': '72.f1.a1', 'kernel_order': 24, 'label': '1728.8372.2q1', 'nt': [24, 65], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 4]], [[2, 2]], [[-2, 4]], [[-2, 2]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[2, 4]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 4]], [[2, 0]], [[-2, 2]], [[2, 4]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 0]], [[2, 4]], [[-2, 0]], [[2, 2]], [[2, 4]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[2, 2]], [[-2, 2]], [[-2, 4]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-2, 1]], [[2, 1]], [[2, 5]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 1]], [[2, 1]], [[2, 5]], [[-2, 5]], [[-2, 1]], [[-2, 1]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 3]], [[-2, 5]], [[2, 3]], [[2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 5]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]]]}
  • id: 25192627
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 134, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.27', 'image_order': 72, 'indicator': 0, 'kernel': '72.f1.a1', 'kernel_order': 24, 'label': '1728.8372.2q2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[-2, 4]], [[2, 2]], [[2, 4]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-2, 2]], [[2, 4]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[-2, 4]], [[2, 0]], [[2, 4]], [[2, 2]], [[2, 0]], [[2, 4]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 0]], [[-2, 2]], [[-2, 0]], [[-2, 4]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[2, 4]], [[2, 2]], [[2, 4]], [[2, 4]], [[2, 0]], [[2, 0]], [[-2, 2]], [[2, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[2, 5]], [[-2, 5]], [[-2, 1]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 5]], [[-2, 5]], [[-2, 1]], [[2, 1]], [[2, 5]], [[2, 5]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 3]], [[2, 5]], [[-2, 5]], [[-2, 3]], [[-2, 1]], [[-2, 5]], [[2, 3]], [[2, 5]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 5]], [[2, 3]], [[-2, 5]], [[-2, 3]], [[2, 3]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 3]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]]]}
  • id: 25192628
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 135, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.27', 'image_order': 72, 'indicator': 0, 'kernel': '72.f1.a1', 'kernel_order': 24, 'label': '1728.8372.2q3', 'nt': [24, 65], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 4]], [[2, 2]], [[-2, 4]], [[-2, 2]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[2, 4]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 4]], [[2, 0]], [[-2, 2]], [[2, 4]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 0]], [[2, 4]], [[-2, 0]], [[2, 2]], [[2, 4]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[2, 2]], [[-2, 2]], [[-2, 4]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[2, 1]], [[-2, 1]], [[-2, 5]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 1]], [[-2, 1]], [[-2, 5]], [[2, 5]], [[2, 1]], [[2, 1]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 3]], [[2, 5]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 5]], [[-2, 1]], [[2, 3]], [[2, 1]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 3]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]]]}
  • id: 25192629
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 136, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.27', 'image_order': 72, 'indicator': 0, 'kernel': '72.f1.a1', 'kernel_order': 24, 'label': '1728.8372.2q4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[-2, 4]], [[2, 2]], [[2, 4]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-2, 2]], [[2, 4]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[-2, 4]], [[2, 0]], [[2, 4]], [[2, 2]], [[2, 0]], [[2, 4]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 0]], [[-2, 2]], [[-2, 0]], [[-2, 4]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[2, 4]], [[2, 2]], [[2, 4]], [[2, 4]], [[2, 0]], [[2, 0]], [[-2, 2]], [[2, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[-2, 5]], [[2, 5]], [[2, 1]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 5]], [[2, 5]], [[2, 1]], [[-2, 1]], [[-2, 5]], [[-2, 5]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 3]], [[-2, 5]], [[2, 5]], [[2, 3]], [[2, 1]], [[2, 5]], [[-2, 3]], [[-2, 5]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 5]], [[-2, 3]], [[2, 5]], [[2, 3]], [[-2, 3]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]]]}
  • id: 25192630
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 137, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.27', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1.a1', 'kernel_order': 24, 'label': '1728.8372.2r1', 'nt': [24, 65], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[2, 4]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 0]], [[-2, 4]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 0]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, 1]], [[-2, 1]], [[-2, 5]], [[-2, 5]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 3]], [[-2, 5]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[2, 1]], [[2, 3]], [[2, 5]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]]]}
  • id: 25192631
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 138, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.27', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1.a1', 'kernel_order': 24, 'label': '1728.8372.2r2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[2, 4]], [[-2, 2]], [[2, 4]], [[2, 0]], [[-2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-2, 2]], [[2, 4]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 0]], [[2, 2]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[2, 5]], [[2, 5]], [[2, 1]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[2, 5]], [[2, 1]], [[2, 1]], [[2, 5]], [[2, 5]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[2, 3]], [[-2, 5]], [[-2, 5]], [[-2, 3]], [[-2, 1]], [[-2, 5]], [[2, 3]], [[2, 5]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 5]], [[2, 3]], [[2, 5]], [[-2, 3]], [[-2, 3]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]]]}
  • id: 25192632
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 139, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.27', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1.a1', 'kernel_order': 24, 'label': '1728.8372.2r3', 'nt': [24, 65], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 4]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[2, 4]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 0]], [[-2, 4]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 0]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[2, 1]], [[2, 1]], [[2, 5]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 1]], [[2, 1]], [[2, 5]], [[2, 5]], [[2, 1]], [[2, 1]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 3]], [[2, 5]], [[2, 3]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 5]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 5]]]}
  • id: 25192634
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 140, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.27', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1.a1', 'kernel_order': 24, 'label': '1728.8372.2r4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[2, 4]], [[-2, 2]], [[2, 4]], [[2, 0]], [[-2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-2, 2]], [[2, 4]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[2, 4]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 0]], [[2, 2]], [[-2, 0]], [[-2, 4]], [[2, 2]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[-2, 5]], [[-2, 5]], [[-2, 1]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 5]], [[-2, 5]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[-2, 5]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[2, 5]], [[2, 5]], [[2, 3]], [[2, 1]], [[2, 5]], [[-2, 3]], [[-2, 5]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 5]], [[-2, 3]], [[-2, 5]], [[2, 3]], [[2, 3]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]]]}
  • id: 25192635
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 141, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '54.3', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1.a1', 'kernel_order': 32, 'label': '1728.8372.2s1', 'nt': [18, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[2, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[2, -3]], [[-1, 3]], [[2, -3]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]]]}
  • id: 25192636
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 142, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '54.3', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1.a1', 'kernel_order': 32, 'label': '1728.8372.2s2', 'nt': [18, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[2, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[2, 3]], [[-1, -3]], [[2, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]]]}
  • id: 25192637
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 143, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '54.3', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1.a1', 'kernel_order': 32, 'label': '1728.8372.2s3', 'nt': [18, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[2, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[2, -3]], [[-1, 3]], [[2, -3]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]]]}
  • id: 25192638
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 144, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '54.3', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1.a1', 'kernel_order': 32, 'label': '1728.8372.2s4', 'nt': [18, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[2, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[2, 3]], [[-1, -3]], [[2, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]]]}
  • id: 25192639
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 145, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '54.3', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1.a1', 'kernel_order': 32, 'label': '1728.8372.2s5', 'nt': [18, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[2, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[2, -3]], [[-1, 3]], [[2, -3]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]]]}
  • id: 25192640
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 146, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '54.3', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1.a1', 'kernel_order': 32, 'label': '1728.8372.2s6', 'nt': [18, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[2, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[2, 3]], [[-1, -3]], [[2, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]]]}
  • id: 25192641
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 147, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.d1.a1', 'kernel_order': 24, 'label': '1728.8372.2t1', 'nt': [36, 45], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]]]}
  • id: 25192642
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 148, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.d1.a1', 'kernel_order': 24, 'label': '1728.8372.2t2', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 7], [1, 11]]]}
  • id: 25192643
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 149, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.d1.a1', 'kernel_order': 24, 'label': '1728.8372.2t3', 'nt': [36, 45], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]]]}
  • id: 25192645
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 150, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.d1.a1', 'kernel_order': 24, 'label': '1728.8372.2t4', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]]]}
  • id: 25192646
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 151, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.d1.a1', 'kernel_order': 24, 'label': '1728.8372.2t5', 'nt': [36, 45], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]]]}
  • id: 25192647
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 152, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.d1.a1', 'kernel_order': 24, 'label': '1728.8372.2t6', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]]]}
  • id: 25192648
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 153, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1.a1', 'kernel_order': 24, 'label': '1728.8372.2u1', 'nt': [36, 45], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 7], [1, 11]]]}
  • id: 25192649
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 154, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1.a1', 'kernel_order': 24, 'label': '1728.8372.2u2', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]]]}
  • id: 25192650
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 155, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1.a1', 'kernel_order': 24, 'label': '1728.8372.2u3', 'nt': [36, 45], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]]]}
  • id: 25192651
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 156, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1.a1', 'kernel_order': 24, 'label': '1728.8372.2u4', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]]]}
  • id: 25192652
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 157, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1.a1', 'kernel_order': 24, 'label': '1728.8372.2u5', 'nt': [36, 45], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [-1, 7]]]}
  • id: 25192653
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 158, 'cyclotomic_n': 36, 'dim': 2, 'faithful': False, 'field': [1, 0, 9, 0, 6, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '72.5', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1.a1', 'kernel_order': 24, 'label': '1728.8372.2u6', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[-2, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [-1, 7]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[1, 7], [1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 7], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 7], [-1, 11]], [[1, 7], [1, 11]], [[-1, 1], [1, 5], [-1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[1, 7], [1, 11]], [[1, 1], [-1, 5], [-1, 7]], [[1, 1], [-1, 5], [1, 11]], [[-1, 1], [1, 5], [1, 7]], [[-1, 1], [1, 5], [1, 7]]]}
  • id: 25192654
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 159, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.b1', 'kernel_order': 16, 'label': '1728.8372.2v1', 'nt': [36, 69], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-2, 3]], [[-1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-2, -3]], [[-1, 3]], [[-2, -3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-2, 3]], [[2, 3]], [[2, -3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[2, -3]], [[2, -3]], [[-2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 0]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[1, 2], [1, -2]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[1, -2], [1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 1], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 2]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 2]], [[-1, -2], [-1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 2]], [[-1, 2], [-1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]]]}
  • id: 25192656
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 160, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.b1', 'kernel_order': 16, 'label': '1728.8372.2v2', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-2, -3]], [[-1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-2, 3]], [[-1, -3]], [[-2, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-2, -3]], [[2, -3]], [[2, 3]], [[-2, -3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, 0]], [[-1, -3]], [[1, 0]], [[-1, 0]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 2]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[1, -2], [1, -1]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[1, 1], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]]]}
  • id: 25192657
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 161, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.b1', 'kernel_order': 16, 'label': '1728.8372.2v3', 'nt': [36, 69], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-2, 3]], [[-1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-2, -3]], [[-1, 3]], [[-2, -3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-2, 3]], [[2, 3]], [[2, -3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[2, -3]], [[2, -3]], [[-2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 0]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, 4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [1, -2]], [[-1, -2], [-1, -1]], [[1, 2], [1, 4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [1, 4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]]]}
  • id: 25192658
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 162, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.b1', 'kernel_order': 16, 'label': '1728.8372.2v4', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-2, -3]], [[-1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-2, 3]], [[-1, -3]], [[-2, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-2, -3]], [[2, -3]], [[2, 3]], [[-2, -3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, 0]], [[-1, -3]], [[1, 0]], [[-1, 0]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, -2], [-1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, -2], [1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[-1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, -2], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 2], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]]]}
  • id: 25192659
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 163, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.b1', 'kernel_order': 16, 'label': '1728.8372.2v5', 'nt': [36, 69], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-2, 3]], [[-1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-2, -3]], [[-1, 3]], [[-2, -3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-2, 3]], [[2, 3]], [[2, -3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[2, -3]], [[2, -3]], [[-2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 0]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, -2], [-1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [-1, 4]], [[1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[1, 1], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [1, 4]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[1, 1], [1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]]]}
  • id: 25192660
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 164, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.b1', 'kernel_order': 16, 'label': '1728.8372.2v6', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-2, -3]], [[-1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-2, 3]], [[-1, -3]], [[-2, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-2, -3]], [[2, -3]], [[2, 3]], [[-2, -3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, 0]], [[-1, -3]], [[1, 0]], [[-1, 0]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 2], [-1, -2]], [[1, 2], [1, 4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[1, 2], [1, 4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[-1, 2], [-1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]]]}
  • id: 25192661
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 165, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.a1', 'kernel_order': 16, 'label': '1728.8372.2w1', 'nt': [36, 69], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-2, 3]], [[-1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-2, -3]], [[-1, 3]], [[-2, -3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-2, -3]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 0]], [[-1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, -2], [-1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 1], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -4]], [[-1, -2], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 2]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 2], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 2]], [[1, 2], [1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, 4], [-1, -4]]]}
  • id: 25192662
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 166, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.a1', 'kernel_order': 16, 'label': '1728.8372.2w2', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-2, -3]], [[-1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-2, 3]], [[-1, -3]], [[-2, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[2, -3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, 0]], [[1, -3]], [[-1, 0]], [[1, 0]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 2]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, -2], [-1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[-1, 1], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]]]}
  • id: 25192663
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 167, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.a1', 'kernel_order': 16, 'label': '1728.8372.2w3', 'nt': [36, 69], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-2, 3]], [[-1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-2, -3]], [[-1, 3]], [[-2, -3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-2, -3]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 0]], [[-1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [-1, -2]], [[1, -2], [1, -1]], [[-1, 2], [-1, 4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 2]], [[1, 1], [1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [-1, 4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [1, -4]]]}
  • id: 25192664
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 168, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.a1', 'kernel_order': 16, 'label': '1728.8372.2w4', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-2, -3]], [[-1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-2, 3]], [[-1, -3]], [[-2, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[2, -3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, 0]], [[1, -3]], [[-1, 0]], [[1, 0]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [-1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, -2], [-1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, -2], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]]]}
  • id: 25192665
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 169, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.a1', 'kernel_order': 16, 'label': '1728.8372.2w5', 'nt': [36, 69], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-2, 3]], [[-1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[-2, 3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-2, -3]], [[-1, 3]], [[-2, -3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-2, -3]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 0]], [[-1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[1, -2], [1, -1]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[1, 2], [1, 4]], [[-1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [-1, 4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 1], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[1, 1], [1, 2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]]]}
  • id: 25192667
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 170, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.b1.a1', 'kernel_order': 16, 'label': '1728.8372.2w6', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-2, 3]], [[-2, -3]], [[-1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[-2, 3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[-2, -3]], [[-1, 0]], [[-1, 3]], [[-2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-2, 3]], [[-1, -3]], [[-2, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[2, -3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, 0]], [[1, -3]], [[-1, 0]], [[1, 0]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[-1, 2], [-1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[-1, 2], [-1, 4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[1, 2], [1, 4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, -2], [-1, -1]]]}
  • id: 25192668
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 171, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1.a1', 'kernel_order': 16, 'label': '1728.8372.2x1', 'nt': [36, 69], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[2, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[2, -3]], [[-1, 3]], [[2, -3]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, 4], [-1, -4]]]}
  • id: 25192669
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 172, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1.a1', 'kernel_order': 16, 'label': '1728.8372.2x2', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[2, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[2, 3]], [[-1, -3]], [[2, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]]]}
  • id: 25192670
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 173, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1.a1', 'kernel_order': 16, 'label': '1728.8372.2x3', 'nt': [36, 69], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[2, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[2, -3]], [[-1, 3]], [[2, -3]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [1, -4]]]}
  • id: 25192671
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 174, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1.a1', 'kernel_order': 16, 'label': '1728.8372.2x4', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[2, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[2, 3]], [[-1, -3]], [[2, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]]]}
  • id: 25192672
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 175, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1.a1', 'kernel_order': 16, 'label': '1728.8372.2x5', 'nt': [36, 69], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[2, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-1, 0]], [[2, 3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[2, -3]], [[-1, 3]], [[2, -3]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]]]}
  • id: 25192673
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 96, 'counter': 176, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '108.23', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1.a1', 'kernel_order': 16, 'label': '1728.8372.2x6', 'nt': [36, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[2, 3]], [[2, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[-1, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-1, 0]], [[2, -3]], [[-1, 0]], [[-1, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[2, 3]], [[-1, -3]], [[2, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, -2], [-1, -1]]]}
  • id: 25192674
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 177, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 27, 'label': '1728.8372.2y1', 'nt': [32, 382], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 5]], [[2, 7]], [[-2, 1]], [[2, 1]], [[-2, 7]], [[-2, 5]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[2, 2]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[-2, 2]], [[2, 6]], [[0, 0]], [[-2, 6]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 6]], [[0, 0]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[2, 5]], [[-2, 3]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 7]], [[-2, 1]], [[2, 3]], [[-2, 5]], [[-2, 5]], [[-2, 7]], [[2, 5]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 6]], [[2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192675
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 178, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 27, 'label': '1728.8372.2y2', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 3]], [[-2, 1]], [[2, 7]], [[-2, 7]], [[2, 1]], [[2, 3]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[2, 6]], [[-2, 2]], [[0, 0]], [[2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 3]], [[2, 5]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 5]], [[-2, 5]], [[-2, 1]], [[2, 7]], [[-2, 5]], [[2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[2, 6]], [[2, 6]], [[2, 6]], [[2, 2]], [[2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192676
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 179, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 27, 'label': '1728.8372.2y3', 'nt': [32, 382], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 5]], [[-2, 7]], [[2, 1]], [[-2, 1]], [[2, 7]], [[2, 5]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[2, 2]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[-2, 2]], [[2, 6]], [[0, 0]], [[-2, 6]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 6]], [[0, 0]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[-2, 5]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 7]], [[2, 1]], [[-2, 3]], [[2, 5]], [[2, 5]], [[2, 7]], [[-2, 5]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 6]], [[2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192678
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 180, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 27, 'label': '1728.8372.2y4', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 3]], [[2, 1]], [[-2, 7]], [[2, 7]], [[-2, 1]], [[-2, 3]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[2, 6]], [[-2, 2]], [[0, 0]], [[2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 3]], [[-2, 5]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 5]], [[2, 5]], [[2, 1]], [[-2, 7]], [[2, 5]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[2, 6]], [[2, 6]], [[2, 6]], [[2, 2]], [[2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192679
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 181, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 27, 'label': '1728.8372.2y5', 'nt': [32, 382], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[-2, 1]], [[2, 3]], [[-2, 5]], [[2, 5]], [[-2, 3]], [[2, 1]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[2, 2]], [[-2, 6]], [[0, 0]], [[2, 6]], [[2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 1]], [[2, 7]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 7]], [[-2, 7]], [[2, 3]], [[-2, 5]], [[-2, 7]], [[2, 1]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 6]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192680
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 182, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 27, 'label': '1728.8372.2y6', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 7]], [[-2, 5]], [[2, 3]], [[-2, 3]], [[2, 5]], [[-2, 7]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[-2, 6]], [[2, 2]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 2]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, 7]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 5]], [[2, 3]], [[2, 1]], [[-2, 7]], [[-2, 7]], [[2, 5]], [[2, 7]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[-2, 6]], [[-2, 6]], [[-2, 6]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 6]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[2, 2]], [[2, 2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192681
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 183, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 27, 'label': '1728.8372.2y7', 'nt': [32, 382], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[2, 1]], [[-2, 3]], [[2, 5]], [[-2, 5]], [[2, 3]], [[-2, 1]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[2, 2]], [[-2, 6]], [[0, 0]], [[2, 6]], [[2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 1]], [[-2, 7]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 7]], [[2, 7]], [[-2, 3]], [[2, 5]], [[2, 7]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 6]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192682
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 432, 'counter': 184, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 27, 'label': '1728.8372.2y8', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 7]], [[2, 5]], [[-2, 3]], [[2, 3]], [[-2, 5]], [[2, 7]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[-2, 6]], [[2, 2]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 2]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[-2, 7]], [[2, 1]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, 5]], [[-2, 3]], [[-2, 1]], [[2, 7]], [[2, 7]], [[-2, 5]], [[-2, 7]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 6]], [[-2, 6]], [[-2, 6]], [[-2, 6]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 6]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[2, 2]], [[2, 2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192683
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 185, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.f1.a1', 'kernel_order': 12, 'label': '1728.8372.2z1', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[2, 4]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[2, 4]], [[2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-2, 2]], [[-2, 10]], [[-2, 10]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 10]], [[2, 10]], [[-2, 6]], [[2, 2]], [[2, 6]], [[2, 10]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[-2, 10]], [[2, 6]], [[-2, 2]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[-2, 10]], [[2, 2]], [[2, 10]], [[2, 10]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 10]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[2, 11]], [[2, 11]], [[-2, 7]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 1]], [[2, 7]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 5]], [[-2, 11]], [[2, 7]], [[-2, 7]], [[-2, 11]], [[-2, 11]], [[2, 7]], [[-2, 1]], [[-2, 7]], [[2, 3]], [[-2, 7]], [[2, 9]], [[-2, 9]], [[-2, 5]], [[-2, 5]], [[-2, 3]], [[2, 1]], [[2, 5]], [[-2, 9]], [[2, 11]], [[2, 1]], [[-2, 1]], [[2, 7]], [[2, 5]], [[2, 9]], [[-2, 11]], [[2, 3]], [[-2, 3]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 9]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[1, 3]], [[-1, 5]], [[-1, 11]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[1, 11]], [[1, 5]], [[-1, 9]], [[-1, 1]], [[1, 11]], [[1, 7]], [[-1, 3]], [[1, 7]], [[1, 9]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 7]], [[1, 7]], [[1, 9]], [[1, 3]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 3]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[-1, 1]]]}
  • id: 25192684
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 186, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.f1.a1', 'kernel_order': 12, 'label': '1728.8372.2z2', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[2, 8]], [[-2, 0]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[2, 3]], [[2, 3]], [[-2, 9]], [[2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[2, 10]], [[2, 2]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[-2, 10]], [[-2, 6]], [[-2, 2]], [[2, 10]], [[2, 6]], [[-2, 10]], [[2, 2]], [[-2, 6]], [[2, 10]], [[2, 2]], [[2, 10]], [[-2, 2]], [[2, 2]], [[-2, 10]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[-2, 10]], [[2, 2]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-2, 1]], [[-2, 1]], [[2, 5]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 11]], [[-2, 5]], [[2, 11]], [[-2, 11]], [[2, 11]], [[-2, 7]], [[2, 1]], [[-2, 5]], [[2, 5]], [[2, 1]], [[2, 1]], [[-2, 5]], [[2, 11]], [[2, 5]], [[-2, 9]], [[2, 5]], [[-2, 3]], [[2, 3]], [[2, 7]], [[2, 7]], [[2, 9]], [[-2, 11]], [[-2, 7]], [[2, 3]], [[-2, 1]], [[-2, 11]], [[2, 11]], [[-2, 5]], [[-2, 7]], [[-2, 3]], [[2, 1]], [[-2, 9]], [[2, 9]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[1, 7]], [[1, 5]], [[1, 11]], [[1, 5]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 1]], [[-1, 9]], [[1, 7]], [[1, 1]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[1, 11]], [[-1, 1]], [[-1, 5]], [[1, 9]], [[-1, 5]], [[-1, 3]], [[-1, 11]], [[-1, 11]], [[1, 9]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 9]], [[1, 5]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 11]], [[-1, 3]], [[1, 11]]]}
  • id: 25192685
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 187, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.f1.a1', 'kernel_order': 12, 'label': '1728.8372.2z3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[2, 4]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[2, 4]], [[2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-2, 2]], [[-2, 10]], [[-2, 10]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 10]], [[2, 10]], [[-2, 6]], [[2, 2]], [[2, 6]], [[2, 10]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[-2, 10]], [[2, 6]], [[-2, 2]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[-2, 10]], [[2, 2]], [[2, 10]], [[2, 10]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 10]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-2, 11]], [[-2, 11]], [[2, 7]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 1]], [[-2, 7]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 5]], [[2, 11]], [[-2, 7]], [[2, 7]], [[2, 11]], [[2, 11]], [[-2, 7]], [[2, 1]], [[2, 7]], [[-2, 3]], [[2, 7]], [[-2, 9]], [[2, 9]], [[2, 5]], [[2, 5]], [[2, 3]], [[-2, 1]], [[-2, 5]], [[2, 9]], [[-2, 11]], [[-2, 1]], [[2, 1]], [[-2, 7]], [[-2, 5]], [[-2, 9]], [[2, 11]], [[-2, 3]], [[2, 3]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 3]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 11]], [[-1, 3]], [[1, 5]], [[1, 11]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 11]], [[1, 9]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[1, 9]], [[1, 1]], [[-1, 11]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 9]], [[-1, 3]], [[1, 7]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 11]], [[1, 1]], [[-1, 9]], [[1, 1]]]}
  • id: 25192686
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 188, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.f1.a1', 'kernel_order': 12, 'label': '1728.8372.2z4', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[2, 8]], [[-2, 0]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 9]], [[2, 9]], [[-2, 3]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[2, 10]], [[2, 2]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[-2, 10]], [[-2, 6]], [[-2, 2]], [[2, 10]], [[2, 6]], [[-2, 10]], [[2, 2]], [[-2, 6]], [[2, 10]], [[2, 2]], [[2, 10]], [[-2, 2]], [[2, 2]], [[-2, 10]], [[-2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[-2, 10]], [[2, 2]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[2, 1]], [[2, 1]], [[-2, 5]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 11]], [[2, 5]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[2, 7]], [[-2, 1]], [[2, 5]], [[-2, 5]], [[-2, 1]], [[-2, 1]], [[2, 5]], [[-2, 11]], [[-2, 5]], [[2, 9]], [[-2, 5]], [[2, 3]], [[-2, 3]], [[-2, 7]], [[-2, 7]], [[-2, 9]], [[2, 11]], [[2, 7]], [[-2, 3]], [[2, 1]], [[2, 11]], [[-2, 11]], [[2, 5]], [[2, 7]], [[2, 3]], [[-2, 1]], [[2, 9]], [[-2, 9]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 3]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 3]], [[-1, 11]], [[1, 1]], [[1, 5]], [[-1, 9]], [[1, 5]], [[1, 3]], [[1, 11]], [[1, 11]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 9]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 7]], [[1, 7]], [[-1, 5]], [[1, 9]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[1, 3]], [[-1, 11]]]}
  • id: 25192687
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 189, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.f1.a1', 'kernel_order': 12, 'label': '1728.8372.2z5', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[2, 4]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[2, 4]], [[2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[2, 3]], [[2, 3]], [[-2, 9]], [[2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[2, 2]], [[2, 10]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[-2, 10]], [[2, 2]], [[2, 6]], [[-2, 2]], [[2, 10]], [[-2, 6]], [[2, 2]], [[2, 10]], [[2, 2]], [[-2, 10]], [[2, 10]], [[-2, 2]], [[-2, 10]], [[-2, 10]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 10]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[2, 5]], [[2, 5]], [[-2, 1]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[2, 7]], [[2, 1]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[2, 11]], [[-2, 5]], [[2, 1]], [[-2, 1]], [[-2, 5]], [[-2, 5]], [[2, 1]], [[-2, 7]], [[-2, 1]], [[-2, 9]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[-2, 11]], [[-2, 11]], [[2, 9]], [[2, 7]], [[2, 11]], [[2, 3]], [[2, 5]], [[2, 7]], [[-2, 7]], [[2, 1]], [[2, 11]], [[-2, 3]], [[-2, 5]], [[-2, 9]], [[2, 9]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[-1, 3]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 11]], [[1, 3]], [[-1, 7]], [[1, 5]], [[1, 1]], [[1, 9]], [[1, 1]], [[-1, 3]], [[1, 7]], [[1, 7]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 11]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 3]], [[-1, 7]]]}
  • id: 25192689
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 190, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.f1.a1', 'kernel_order': 12, 'label': '1728.8372.2z6', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[2, 8]], [[-2, 0]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-2, 10]], [[-2, 2]], [[-2, 2]], [[2, 10]], [[2, 10]], [[-2, 10]], [[2, 2]], [[2, 2]], [[-2, 6]], [[2, 10]], [[2, 6]], [[2, 2]], [[-2, 10]], [[-2, 6]], [[2, 10]], [[-2, 2]], [[2, 6]], [[-2, 10]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[-2, 2]], [[2, 10]], [[2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[2, 10]], [[-2, 2]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-2, 7]], [[-2, 7]], [[2, 11]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 5]], [[-2, 11]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 1]], [[2, 7]], [[-2, 11]], [[2, 11]], [[2, 7]], [[2, 7]], [[-2, 11]], [[2, 5]], [[2, 11]], [[2, 3]], [[2, 11]], [[2, 9]], [[-2, 9]], [[2, 1]], [[2, 1]], [[-2, 3]], [[-2, 5]], [[-2, 1]], [[-2, 9]], [[-2, 7]], [[-2, 5]], [[2, 5]], [[-2, 11]], [[-2, 1]], [[2, 9]], [[2, 7]], [[2, 3]], [[-2, 3]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[1, 9]], [[1, 7]], [[-1, 5]], [[1, 9]], [[1, 1]], [[1, 11]], [[1, 5]], [[1, 11]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 3]], [[1, 1]], [[1, 7]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 3]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 11]], [[-1, 11]], [[1, 9]], [[1, 3]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[1, 3]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[1, 7]], [[1, 5]], [[1, 9]], [[1, 5]]]}
  • id: 25192690
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 191, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.f1.a1', 'kernel_order': 12, 'label': '1728.8372.2z7', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[2, 4]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[2, 4]], [[2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 9]], [[2, 9]], [[-2, 3]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[2, 2]], [[2, 10]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[-2, 10]], [[2, 2]], [[2, 6]], [[-2, 2]], [[2, 10]], [[-2, 6]], [[2, 2]], [[2, 10]], [[2, 2]], [[-2, 10]], [[2, 10]], [[-2, 2]], [[-2, 10]], [[-2, 10]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 10]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-2, 5]], [[-2, 5]], [[2, 1]], [[2, 11]], [[2, 11]], [[-2, 11]], [[-2, 7]], [[-2, 1]], [[2, 7]], [[-2, 7]], [[2, 7]], [[-2, 11]], [[2, 5]], [[-2, 1]], [[2, 1]], [[2, 5]], [[2, 5]], [[-2, 1]], [[2, 7]], [[2, 1]], [[2, 9]], [[2, 1]], [[2, 3]], [[-2, 3]], [[2, 11]], [[2, 11]], [[-2, 9]], [[-2, 7]], [[-2, 11]], [[-2, 3]], [[-2, 5]], [[-2, 7]], [[2, 7]], [[-2, 1]], [[-2, 11]], [[2, 3]], [[2, 5]], [[2, 9]], [[-2, 9]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 5]], [[-1, 7]], [[1, 3]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 1]], [[-1, 9]], [[-1, 5]], [[1, 11]], [[1, 11]], [[1, 5]], [[1, 9]], [[1, 11]], [[1, 5]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 3]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 9]], [[1, 1]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 9]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 5]], [[1, 7]], [[1, 3]], [[1, 7]]]}
  • id: 25192691
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 288, 'counter': 192, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '144.69', 'image_order': 144, 'indicator': 0, 'kernel': '144.f1.a1', 'kernel_order': 12, 'label': '1728.8372.2z8', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[2, 8]], [[-2, 0]], [[-2, 8]], [[-2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[-2, 10]], [[-2, 2]], [[-2, 2]], [[2, 10]], [[2, 10]], [[-2, 10]], [[2, 2]], [[2, 2]], [[-2, 6]], [[2, 10]], [[2, 6]], [[2, 2]], [[-2, 10]], [[-2, 6]], [[2, 10]], [[-2, 2]], [[2, 6]], [[-2, 10]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[-2, 2]], [[2, 10]], [[2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[2, 10]], [[-2, 2]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[2, 7]], [[2, 7]], [[-2, 11]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 5]], [[2, 11]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 1]], [[-2, 7]], [[2, 11]], [[-2, 11]], [[-2, 7]], [[-2, 7]], [[2, 11]], [[-2, 5]], [[-2, 11]], [[-2, 3]], [[-2, 11]], [[-2, 9]], [[2, 9]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[2, 5]], [[2, 1]], [[2, 9]], [[2, 7]], [[2, 5]], [[-2, 5]], [[2, 11]], [[2, 1]], [[-2, 9]], [[-2, 7]], [[-2, 3]], [[2, 3]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 9]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 7]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[-1, 5]], [[1, 7]], [[1, 11]], [[1, 3]], [[1, 11]], [[-1, 9]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 11]], [[1, 11]], [[-1, 9]], [[-1, 3]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 9]], [[-1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 5]]]}
  • id: 25192826
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 313, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.466', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 9, 'label': '1728.8372.4a1', 'nt': [96, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 2]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[4, 1]], [[-4, 3]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 2]], [[-4, 2]], [[4, 2]], [[-4, 2]], [[-4, 2]], [[0, 0]], [[-4, 2]], [[4, 2]], [[0, 0]], [[4, 2]], [[-4, 2]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[-4, 3]], [[4, 3]], [[4, 1]], [[4, 3]], [[-4, 3]], [[4, 3]], [[0, 0]], [[-4, 1]], [[4, 3]], [[0, 0]], [[-4, 3]], [[-4, 3]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[4, 1]], [[4, 1]], [[-4, 3]], [[0, 0]], [[4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 3]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192827
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 314, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.466', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 9, 'label': '1728.8372.4a2', 'nt': [96, 4], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 2]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, 3]], [[4, 1]], [[4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-4, 2]], [[4, 2]], [[-4, 2]], [[4, 2]], [[4, 2]], [[0, 0]], [[4, 2]], [[-4, 2]], [[0, 0]], [[-4, 2]], [[4, 2]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[-4, 3]], [[4, 3]], [[4, 1]], [[-4, 1]], [[-4, 3]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[0, 0]], [[4, 3]], [[-4, 1]], [[0, 0]], [[4, 1]], [[4, 1]], [[4, 3]], [[-4, 3]], [[4, 3]], [[-4, 3]], [[-4, 3]], [[4, 1]], [[0, 0]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 3]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192828
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 315, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.466', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 9, 'label': '1728.8372.4a3', 'nt': [96, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 2]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[-4, 1]], [[4, 3]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 2]], [[-4, 2]], [[4, 2]], [[-4, 2]], [[-4, 2]], [[0, 0]], [[-4, 2]], [[4, 2]], [[0, 0]], [[4, 2]], [[-4, 2]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[-4, 1]], [[4, 1]], [[4, 3]], [[-4, 3]], [[-4, 1]], [[-4, 3]], [[4, 3]], [[-4, 3]], [[0, 0]], [[4, 1]], [[-4, 3]], [[0, 0]], [[4, 3]], [[4, 3]], [[4, 1]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[-4, 1]], [[4, 3]], [[0, 0]], [[-4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 3]], [[2, 1]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192829
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 316, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '192.466', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 9, 'label': '1728.8372.4a4', 'nt': [96, 4], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 2]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, 3]], [[-4, 1]], [[-4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-4, 2]], [[4, 2]], [[-4, 2]], [[4, 2]], [[4, 2]], [[0, 0]], [[4, 2]], [[-4, 2]], [[0, 0]], [[-4, 2]], [[4, 2]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[4, 3]], [[-4, 3]], [[-4, 1]], [[4, 1]], [[4, 3]], [[4, 1]], [[-4, 1]], [[4, 1]], [[0, 0]], [[-4, 3]], [[4, 1]], [[0, 0]], [[-4, 1]], [[-4, 1]], [[-4, 3]], [[4, 3]], [[-4, 3]], [[4, 3]], [[4, 3]], [[-4, 1]], [[0, 0]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 1]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192830
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 317, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.3886', 'image_order': 576, 'indicator': 0, 'kernel': '576.b1.a1', 'kernel_order': 3, 'label': '1728.8372.4b1', 'nt': [96, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 8]], [[4, 0]], [[-4, 4]], [[4, 8]], [[-4, 6]], [[4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 8]], [[-4, 0]], [[-4, 8]], [[0, 0]], [[0, 0]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 3]], [[-4, 9]], [[-4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-4, 2]], [[4, 10]], [[-4, 10]], [[4, 2]], [[4, 2]], [[0, 0]], [[-4, 6]], [[-4, 10]], [[0, 0]], [[4, 6]], [[4, 10]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[2, 0]], [[2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 11]], [[-4, 7]], [[4, 7]], [[4, 5]], [[-4, 5]], [[4, 11]], [[4, 1]], [[-4, 1]], [[4, 9]], [[0, 0]], [[-4, 3]], [[4, 1]], [[0, 0]], [[-4, 9]], [[4, 5]], [[4, 7]], [[4, 3]], [[-4, 11]], [[-4, 7]], [[4, 11]], [[-4, 1]], [[0, 0]], [[-4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 6]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[2, 2]], [[2, 10]], [[2, 2]], [[-2, 10]], [[2, 10]], [[-2, 6]], [[2, 10]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[-2, 10]], [[-2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 9]], [[-2, 11]], [[-2, 3]], [[2, 5]], [[-2, 5]], [[2, 3]], [[2, 3]], [[-2, 7]], [[-2, 7]], [[2, 11]], [[2, 9]], [[2, 9]], [[-2, 11]], [[2, 1]], [[-2, 7]], [[-2, 1]], [[2, 7]], [[-2, 9]], [[-2, 1]], [[2, 1]], [[2, 5]], [[2, 7]], [[-2, 5]], [[-2, 5]], [[-2, 3]], [[2, 9]], [[2, 11]], [[-2, 3]], [[2, 7]], [[2, 1]], [[2, 11]], [[-2, 11]], [[2, 5]], [[-2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192831
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 318, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.3886', 'image_order': 576, 'indicator': 0, 'kernel': '576.b1.a1', 'kernel_order': 3, 'label': '1728.8372.4b2', 'nt': [96, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 4]], [[4, 0]], [[4, 8]], [[-4, 4]], [[4, 6]], [[-4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 8]], [[4, 4]], [[-4, 0]], [[4, 4]], [[0, 0]], [[0, 0]], [[-4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[-4, 9]], [[4, 3]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[4, 10]], [[-4, 2]], [[4, 2]], [[-4, 10]], [[-4, 10]], [[0, 0]], [[4, 6]], [[4, 2]], [[0, 0]], [[-4, 6]], [[-4, 2]], [[4, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[2, 0]], [[2, 0]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, 5]], [[-4, 5]], [[-4, 7]], [[4, 7]], [[-4, 1]], [[-4, 11]], [[4, 11]], [[-4, 3]], [[0, 0]], [[4, 9]], [[-4, 11]], [[0, 0]], [[4, 3]], [[-4, 7]], [[-4, 5]], [[-4, 9]], [[4, 1]], [[4, 5]], [[-4, 1]], [[4, 11]], [[0, 0]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 6]], [[2, 10]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[2, 10]], [[2, 6]], [[-2, 6]], [[2, 2]], [[2, 6]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, 3]], [[2, 1]], [[2, 9]], [[-2, 7]], [[2, 7]], [[-2, 9]], [[-2, 9]], [[2, 5]], [[2, 5]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[-2, 11]], [[2, 5]], [[2, 11]], [[-2, 5]], [[2, 3]], [[2, 11]], [[-2, 11]], [[-2, 7]], [[-2, 5]], [[2, 7]], [[2, 7]], [[2, 9]], [[-2, 3]], [[-2, 1]], [[2, 9]], [[-2, 5]], [[-2, 11]], [[-2, 1]], [[2, 1]], [[-2, 7]], [[2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192832
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 319, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.3886', 'image_order': 576, 'indicator': 0, 'kernel': '576.b1.a1', 'kernel_order': 3, 'label': '1728.8372.4b3', 'nt': [96, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 8]], [[4, 0]], [[-4, 4]], [[4, 8]], [[-4, 6]], [[4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 8]], [[-4, 0]], [[-4, 8]], [[0, 0]], [[0, 0]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 3]], [[4, 9]], [[4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-4, 2]], [[4, 10]], [[-4, 10]], [[4, 2]], [[4, 2]], [[0, 0]], [[-4, 6]], [[-4, 10]], [[0, 0]], [[4, 6]], [[4, 10]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[2, 0]], [[2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 11]], [[4, 7]], [[-4, 7]], [[-4, 5]], [[4, 5]], [[-4, 11]], [[-4, 1]], [[4, 1]], [[-4, 9]], [[0, 0]], [[4, 3]], [[-4, 1]], [[0, 0]], [[4, 9]], [[-4, 5]], [[-4, 7]], [[-4, 3]], [[4, 11]], [[4, 7]], [[-4, 11]], [[4, 1]], [[0, 0]], [[4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 6]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[2, 2]], [[2, 10]], [[2, 2]], [[-2, 10]], [[2, 10]], [[-2, 6]], [[2, 10]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[-2, 10]], [[-2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 9]], [[2, 11]], [[2, 3]], [[-2, 5]], [[2, 5]], [[-2, 3]], [[-2, 3]], [[2, 7]], [[2, 7]], [[-2, 11]], [[-2, 9]], [[-2, 9]], [[2, 11]], [[-2, 1]], [[2, 7]], [[2, 1]], [[-2, 7]], [[2, 9]], [[2, 1]], [[-2, 1]], [[-2, 5]], [[-2, 7]], [[2, 5]], [[2, 5]], [[2, 3]], [[-2, 9]], [[-2, 11]], [[2, 3]], [[-2, 7]], [[-2, 1]], [[-2, 11]], [[2, 11]], [[-2, 5]], [[2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192834
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 320, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.3886', 'image_order': 576, 'indicator': 0, 'kernel': '576.b1.a1', 'kernel_order': 3, 'label': '1728.8372.4b4', 'nt': [96, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 4]], [[4, 0]], [[4, 8]], [[-4, 4]], [[4, 6]], [[-4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 8]], [[4, 4]], [[-4, 0]], [[4, 4]], [[0, 0]], [[0, 0]], [[-4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[4, 9]], [[-4, 3]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[4, 10]], [[-4, 2]], [[4, 2]], [[-4, 10]], [[-4, 10]], [[0, 0]], [[4, 6]], [[4, 2]], [[0, 0]], [[-4, 6]], [[-4, 2]], [[4, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[2, 0]], [[2, 0]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, 5]], [[4, 5]], [[4, 7]], [[-4, 7]], [[4, 1]], [[4, 11]], [[-4, 11]], [[4, 3]], [[0, 0]], [[-4, 9]], [[4, 11]], [[0, 0]], [[-4, 3]], [[4, 7]], [[4, 5]], [[4, 9]], [[-4, 1]], [[-4, 5]], [[4, 1]], [[-4, 11]], [[0, 0]], [[-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 6]], [[2, 10]], [[2, 2]], [[-2, 10]], [[-2, 10]], [[-2, 2]], [[-2, 10]], [[2, 2]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[2, 10]], [[2, 6]], [[-2, 6]], [[2, 2]], [[2, 6]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11]], [[-2, 3]], [[-2, 1]], [[-2, 9]], [[2, 7]], [[-2, 7]], [[2, 9]], [[2, 9]], [[-2, 5]], [[-2, 5]], [[2, 1]], [[2, 3]], [[2, 3]], [[-2, 1]], [[2, 11]], [[-2, 5]], [[-2, 11]], [[2, 5]], [[-2, 3]], [[-2, 11]], [[2, 11]], [[2, 7]], [[2, 5]], [[-2, 7]], [[-2, 7]], [[-2, 9]], [[2, 3]], [[2, 1]], [[-2, 9]], [[2, 5]], [[2, 11]], [[2, 1]], [[-2, 1]], [[2, 7]], [[-2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192835
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 321, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.3886', 'image_order': 576, 'indicator': 0, 'kernel': '576.b1.a1', 'kernel_order': 3, 'label': '1728.8372.4b5', 'nt': [96, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 8]], [[4, 0]], [[-4, 4]], [[4, 8]], [[4, 6]], [[-4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 8]], [[-4, 0]], [[-4, 8]], [[0, 0]], [[0, 0]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[-4, 9]], [[4, 3]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4]], [[2, 4]], [[-2, 8]], [[4, 2]], [[-4, 10]], [[4, 10]], [[-4, 2]], [[-4, 2]], [[0, 0]], [[4, 6]], [[4, 10]], [[0, 0]], [[-4, 6]], [[-4, 10]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[2, 0]], [[2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 5]], [[-4, 1]], [[4, 1]], [[4, 11]], [[-4, 11]], [[4, 5]], [[4, 7]], [[-4, 7]], [[-4, 3]], [[0, 0]], [[4, 9]], [[4, 7]], [[0, 0]], [[4, 3]], [[4, 11]], [[4, 1]], [[-4, 9]], [[-4, 5]], [[-4, 1]], [[4, 5]], [[-4, 7]], [[0, 0]], [[-4, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[-2, 10]], [[2, 6]], [[-2, 10]], [[2, 2]], [[2, 6]], [[-2, 6]], [[2, 10]], [[2, 6]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[2, 3]], [[-2, 5]], [[2, 9]], [[2, 11]], [[-2, 11]], [[-2, 9]], [[-2, 9]], [[-2, 1]], [[-2, 1]], [[2, 5]], [[-2, 3]], [[-2, 3]], [[-2, 5]], [[2, 7]], [[-2, 1]], [[-2, 7]], [[2, 1]], [[2, 3]], [[-2, 7]], [[2, 7]], [[2, 11]], [[2, 1]], [[-2, 11]], [[-2, 11]], [[2, 9]], [[-2, 3]], [[2, 5]], [[2, 9]], [[2, 1]], [[2, 7]], [[2, 5]], [[-2, 5]], [[2, 11]], [[2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192836
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 322, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.3886', 'image_order': 576, 'indicator': 0, 'kernel': '576.b1.a1', 'kernel_order': 3, 'label': '1728.8372.4b6', 'nt': [96, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 4]], [[4, 0]], [[4, 8]], [[-4, 4]], [[-4, 6]], [[4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 8]], [[4, 4]], [[-4, 0]], [[4, 4]], [[0, 0]], [[0, 0]], [[-4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 3]], [[-4, 9]], [[-4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[-4, 10]], [[4, 2]], [[-4, 2]], [[4, 10]], [[4, 10]], [[0, 0]], [[-4, 6]], [[-4, 2]], [[0, 0]], [[4, 6]], [[4, 2]], [[-4, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[2, 0]], [[2, 0]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 7]], [[4, 11]], [[-4, 11]], [[-4, 1]], [[4, 1]], [[-4, 7]], [[-4, 5]], [[4, 5]], [[4, 9]], [[0, 0]], [[-4, 3]], [[-4, 5]], [[0, 0]], [[-4, 9]], [[-4, 1]], [[-4, 11]], [[4, 3]], [[4, 7]], [[4, 11]], [[-4, 7]], [[4, 5]], [[0, 0]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 6]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[2, 10]], [[2, 2]], [[2, 10]], [[-2, 2]], [[2, 2]], [[-2, 6]], [[2, 2]], [[-2, 10]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 9]], [[2, 7]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 3]], [[2, 11]], [[2, 11]], [[-2, 7]], [[2, 9]], [[2, 9]], [[2, 7]], [[-2, 5]], [[2, 11]], [[2, 5]], [[-2, 11]], [[-2, 9]], [[2, 5]], [[-2, 5]], [[-2, 1]], [[-2, 11]], [[2, 1]], [[2, 1]], [[-2, 3]], [[2, 9]], [[-2, 7]], [[-2, 3]], [[-2, 11]], [[-2, 5]], [[-2, 7]], [[2, 7]], [[-2, 1]], [[-2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192837
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 323, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.3886', 'image_order': 576, 'indicator': 0, 'kernel': '576.b1.a1', 'kernel_order': 3, 'label': '1728.8372.4b7', 'nt': [96, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 8]], [[4, 0]], [[-4, 4]], [[4, 8]], [[4, 6]], [[-4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 8]], [[-4, 0]], [[-4, 8]], [[0, 0]], [[0, 0]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[4, 9]], [[-4, 3]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4]], [[2, 4]], [[-2, 8]], [[4, 2]], [[-4, 10]], [[4, 10]], [[-4, 2]], [[-4, 2]], [[0, 0]], [[4, 6]], [[4, 10]], [[0, 0]], [[-4, 6]], [[-4, 10]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 0]], [[-2, 4]], [[2, 0]], [[2, 0]], [[2, 8]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 5]], [[4, 1]], [[-4, 1]], [[-4, 11]], [[4, 11]], [[-4, 5]], [[-4, 7]], [[4, 7]], [[4, 3]], [[0, 0]], [[-4, 9]], [[-4, 7]], [[0, 0]], [[-4, 3]], [[-4, 11]], [[-4, 1]], [[4, 9]], [[4, 5]], [[4, 1]], [[-4, 5]], [[4, 7]], [[0, 0]], [[4, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[2, 10]], [[-2, 2]], [[-2, 2]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[-2, 10]], [[2, 6]], [[-2, 10]], [[2, 2]], [[2, 6]], [[-2, 6]], [[2, 10]], [[2, 6]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[-2, 3]], [[2, 5]], [[-2, 9]], [[-2, 11]], [[2, 11]], [[2, 9]], [[2, 9]], [[2, 1]], [[2, 1]], [[-2, 5]], [[2, 3]], [[2, 3]], [[2, 5]], [[-2, 7]], [[2, 1]], [[2, 7]], [[-2, 1]], [[-2, 3]], [[2, 7]], [[-2, 7]], [[-2, 11]], [[-2, 1]], [[2, 11]], [[2, 11]], [[-2, 9]], [[2, 3]], [[-2, 5]], [[-2, 9]], [[-2, 1]], [[-2, 7]], [[-2, 5]], [[2, 5]], [[-2, 11]], [[-2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192838
    {'center': '24.f1.a1', 'center_index': 24, 'center_order': 72, 'counter': 324, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.3886', 'image_order': 576, 'indicator': 0, 'kernel': '576.b1.a1', 'kernel_order': 3, 'label': '1728.8372.4b8', 'nt': [96, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 4]], [[4, 0]], [[4, 8]], [[-4, 4]], [[-4, 6]], [[4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 8]], [[4, 4]], [[-4, 0]], [[4, 4]], [[0, 0]], [[0, 0]], [[-4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 3]], [[4, 9]], [[4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[-4, 10]], [[4, 2]], [[-4, 2]], [[4, 10]], [[4, 10]], [[0, 0]], [[-4, 6]], [[-4, 2]], [[0, 0]], [[4, 6]], [[4, 2]], [[-4, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 8]], [[2, 0]], [[2, 0]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[-4, 11]], [[4, 11]], [[4, 1]], [[-4, 1]], [[4, 7]], [[4, 5]], [[-4, 5]], [[-4, 9]], [[0, 0]], [[4, 3]], [[4, 5]], [[0, 0]], [[4, 9]], [[4, 1]], [[4, 11]], [[-4, 3]], [[-4, 7]], [[-4, 11]], [[4, 7]], [[-4, 5]], [[0, 0]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 6]], [[-2, 10]], [[-2, 2]], [[2, 10]], [[2, 10]], [[2, 2]], [[2, 10]], [[-2, 2]], [[2, 2]], [[-2, 6]], [[2, 2]], [[-2, 10]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 9]], [[-2, 7]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 3]], [[-2, 11]], [[-2, 11]], [[2, 7]], [[-2, 9]], [[-2, 9]], [[-2, 7]], [[2, 5]], [[-2, 11]], [[-2, 5]], [[2, 11]], [[2, 9]], [[-2, 5]], [[2, 5]], [[2, 1]], [[2, 11]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[-2, 9]], [[2, 7]], [[2, 3]], [[2, 11]], [[2, 5]], [[2, 7]], [[-2, 7]], [[2, 1]], [[2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192839
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 325, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c1', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[4, 9]], [[-4, 27]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16], [-2, -16]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[4, 9]], [[-4, 9]], [[-4, 27]], [[4, 27]], [[4, 9]], [[4, 27]], [[-4, 27]], [[-2, 27]], [[0, 0]], [[2, 9]], [[-2, 27]], [[0, 0]], [[2, 27]], [[2, 27]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [-2, 22]], [[2, 14], [2, 22]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 14], [2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11], [2, 19], [2, 23]], [[-2, 7], [2, 11]], [[-2, 5], [-2, 13]], [[-2, 5], [-2, 13]], [[-2, 7], [2, 11]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [-2, 17]], [[2, 5], [2, 13]], [[2, 5], [2, 13]], [[-2, 1], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 11], [2, 19], [2, 23]], [[-2, 7], [2, 11]], [[2, 7], [-2, 11]], [[-2, 11], [2, 19], [2, 23]], [[2, 1], [2, 17]], [[2, 7], [-2, 11]], [[2, 11], [-2, 19], [-2, 23]], [[2, 1], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [-2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 5], [-2, 13]], [[-2, 7], [2, 19], [2, 23]], [[2, 5], [2, 13]], [[2, 1], [2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192849
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 334, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c10', 'nt': [288, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 27]], [[-4, 9]], [[-4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[4, 27]], [[-4, 27]], [[-4, 9]], [[4, 9]], [[4, 27]], [[4, 9]], [[-4, 9]], [[-2, 9]], [[0, 0]], [[2, 27]], [[-2, 9]], [[0, 0]], [[2, 9]], [[2, 9]], [[2, 27]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 14], [2, 22]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 14], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 13]], [[2, 1], [2, 17]], [[-2, 7], [2, 11]], [[-2, 7], [2, 11]], [[2, 1], [2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[2, 7], [-2, 11]], [[2, 7], [-2, 11]], [[-2, 7], [2, 19], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 5], [2, 13]], [[-2, 1], [-2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 5], [2, 13]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 11], [2, 19], [2, 23]], [[-2, 5], [-2, 13]], [[2, 1], [2, 17]], [[-2, 1], [-2, 17]], [[-2, 5], [-2, 13]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 1], [-2, 17]], [[2, 5], [2, 13]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 7], [2, 11]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 7], [-2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192850
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 335, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c11', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[-4, 9]], [[4, 27]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[-4, 9]], [[4, 9]], [[4, 27]], [[-4, 27]], [[-4, 9]], [[-4, 27]], [[4, 27]], [[2, 27]], [[0, 0]], [[-2, 9]], [[2, 27]], [[0, 0]], [[-2, 27]], [[-2, 27]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 14], [2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [-2, 11]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [-2, 17]], [[-2, 1], [-2, 17]], [[-2, 7], [2, 19], [2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 1], [2, 17]], [[2, 1], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 5], [-2, 13]], [[-2, 7], [2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[2, 5], [2, 13]], [[-2, 7], [2, 11]], [[-2, 5], [-2, 13]], [[2, 11], [-2, 19], [-2, 23]], [[2, 5], [2, 13]], [[2, 7], [-2, 11]], [[-2, 7], [2, 19], [2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 7], [2, 11]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 5], [2, 13]], [[-2, 1], [-2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 1], [2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 5], [-2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192851
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 336, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c12', 'nt': [288, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 27]], [[-4, 9]], [[-4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[4, 27]], [[-4, 27]], [[-4, 9]], [[4, 9]], [[4, 27]], [[4, 9]], [[-4, 9]], [[-2, 9]], [[0, 0]], [[2, 27]], [[-2, 9]], [[0, 0]], [[2, 9]], [[2, 9]], [[2, 27]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [2, 14]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 14], [2, 22]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 5], [-2, 13]], [[-2, 11], [2, 19], [2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 5], [-2, 13]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 11]], [[2, 11], [-2, 19], [-2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[-2, 7], [2, 19], [2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 5], [2, 13]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[2, 1], [2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 5], [-2, 13]], [[2, 5], [2, 13]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 7], [2, 11]], [[2, 5], [2, 13]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 7], [2, 11]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 1], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 7], [2, 11]], [[2, 1], [2, 17]], [[2, 1], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192840
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 326, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c2', 'nt': [288, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 27]], [[4, 9]], [[4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16], [-2, -16]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[-4, 27]], [[4, 27]], [[4, 9]], [[-4, 9]], [[-4, 27]], [[-4, 9]], [[4, 9]], [[2, 9]], [[0, 0]], [[-2, 27]], [[2, 9]], [[0, 0]], [[-2, 9]], [[-2, 9]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [2, 22]], [[-2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [2, 14]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[-2, 7], [2, 19], [2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 5], [-2, 13]], [[-2, 11], [2, 19], [2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 7], [2, 11]], [[2, 1], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 7], [-2, 11]], [[2, 1], [2, 17]], [[-2, 7], [2, 11]], [[2, 5], [2, 13]], [[2, 7], [-2, 11]], [[-2, 1], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 1], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 1], [2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 5], [-2, 13]], [[-2, 11], [2, 19], [2, 23]], [[2, 7], [-2, 11]], [[-2, 7], [2, 19], [2, 23]], [[-2, 5], [-2, 13]], [[2, 7], [-2, 19], [-2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 5], [2, 13]], [[2, 5], [2, 13]], [[-2, 7], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192841
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 327, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c3', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[4, 9]], [[-4, 27]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[4, 9]], [[-4, 9]], [[-4, 27]], [[4, 27]], [[4, 9]], [[4, 27]], [[-4, 27]], [[-2, 27]], [[0, 0]], [[2, 9]], [[-2, 27]], [[0, 0]], [[2, 27]], [[2, 27]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [2, 14]], [[2, 14], [2, 22]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 14], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 7], [-2, 11]], [[2, 5], [2, 13]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 5], [2, 13]], [[-2, 1], [-2, 17]], [[-2, 7], [2, 19], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 1], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [-2, 17]], [[-2, 7], [2, 11]], [[2, 1], [2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 5], [-2, 13]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 7], [2, 19], [2, 23]], [[-2, 5], [-2, 13]], [[2, 7], [-2, 11]], [[2, 5], [2, 13]], [[2, 1], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 7], [-2, 11]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 5], [-2, 13]], [[-2, 7], [2, 11]], [[-2, 7], [2, 11]], [[-2, 1], [-2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192842
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 328, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c4', 'nt': [288, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 27]], [[4, 9]], [[4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[-4, 27]], [[4, 27]], [[4, 9]], [[-4, 9]], [[-4, 27]], [[-4, 9]], [[4, 9]], [[2, 9]], [[0, 0]], [[-2, 27]], [[2, 9]], [[0, 0]], [[-2, 9]], [[-2, 9]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 14], [2, 22]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 14], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 13]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 11]], [[2, 7], [-2, 11]], [[-2, 1], [-2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 7], [2, 11]], [[-2, 7], [2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 5], [-2, 13]], [[2, 1], [2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 5], [-2, 13]], [[-2, 11], [2, 19], [2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[2, 5], [2, 13]], [[-2, 1], [-2, 17]], [[2, 1], [2, 17]], [[2, 5], [2, 13]], [[-2, 7], [2, 19], [2, 23]], [[2, 1], [2, 17]], [[-2, 5], [-2, 13]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 7], [2, 11]], [[-2, 7], [2, 19], [2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192843
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 329, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c5', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[4, 9]], [[-4, 27]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[4, 9]], [[-4, 9]], [[-4, 27]], [[4, 27]], [[4, 9]], [[4, 27]], [[-4, 27]], [[-2, 27]], [[0, 0]], [[2, 9]], [[-2, 27]], [[0, 0]], [[2, 27]], [[2, 27]], [[2, 9]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[-2, 9]], [[2, 27]], [[0, 0]], [[-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 14], [2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7], [2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [2, 17]], [[2, 1], [2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 1], [-2, 17]], [[-2, 1], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 5], [2, 13]], [[2, 7], [-2, 11]], [[-2, 7], [2, 19], [2, 23]], [[-2, 5], [-2, 13]], [[2, 7], [-2, 11]], [[2, 5], [2, 13]], [[-2, 11], [2, 19], [2, 23]], [[-2, 5], [-2, 13]], [[-2, 7], [2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 7], [2, 19], [2, 23]], [[-2, 7], [2, 11]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 7], [2, 19], [2, 23]], [[2, 7], [-2, 11]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 5], [-2, 13]], [[2, 1], [2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 1], [-2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 11], [2, 19], [2, 23]], [[-2, 11], [2, 19], [2, 23]], [[2, 5], [2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192845
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 330, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c6', 'nt': [288, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 27]], [[4, 9]], [[4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[-4, 27]], [[4, 27]], [[4, 9]], [[-4, 9]], [[-4, 27]], [[-4, 9]], [[4, 9]], [[2, 9]], [[0, 0]], [[-2, 27]], [[2, 9]], [[0, 0]], [[-2, 9]], [[-2, 9]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[2, 27]], [[2, 27]], [[-2, 9]], [[0, 0]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [2, 14]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 14], [2, 22]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 5], [2, 13]], [[2, 11], [-2, 19], [-2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 5], [2, 13]], [[2, 1], [2, 17]], [[-2, 7], [2, 11]], [[-2, 11], [2, 19], [2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 7], [2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 5], [-2, 13]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 1], [-2, 17]], [[-2, 7], [2, 19], [2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 5], [2, 13]], [[-2, 5], [-2, 13]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 7], [-2, 11]], [[-2, 5], [-2, 13]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 7], [-2, 11]], [[2, 1], [2, 17]], [[-2, 7], [2, 11]], [[-2, 7], [2, 19], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 1], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 7], [-2, 11]], [[-2, 1], [-2, 17]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192846
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 331, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c7', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[-4, 9]], [[4, 27]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16], [-2, -16]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[-4, 9]], [[4, 9]], [[4, 27]], [[-4, 27]], [[-4, 9]], [[-4, 27]], [[4, 27]], [[2, 27]], [[0, 0]], [[-2, 9]], [[2, 27]], [[0, 0]], [[-2, 27]], [[-2, 27]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [-2, 22]], [[2, 14], [2, 22]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 14], [2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11], [-2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[2, 5], [2, 13]], [[2, 5], [2, 13]], [[2, 7], [-2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [2, 17]], [[-2, 5], [-2, 13]], [[-2, 5], [-2, 13]], [[2, 1], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 11], [2, 19], [2, 23]], [[-2, 7], [2, 11]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 7], [2, 19], [2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[-2, 7], [2, 11]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 1], [-2, 17]], [[-2, 7], [2, 11]], [[-2, 11], [2, 19], [2, 23]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 5], [2, 13]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 5], [-2, 13]], [[-2, 1], [-2, 17]], [[-2, 7], [2, 19], [2, 23]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192847
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 332, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c8', 'nt': [288, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 27]], [[-4, 9]], [[-4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16], [-2, -16]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[4, 27]], [[-4, 27]], [[-4, 9]], [[4, 9]], [[4, 27]], [[4, 9]], [[-4, 9]], [[-2, 9]], [[0, 0]], [[2, 27]], [[-2, 9]], [[0, 0]], [[2, 9]], [[2, 9]], [[2, 27]], [[-2, 27]], [[2, 27]], [[-2, 27]], [[-2, 27]], [[2, 9]], [[0, 0]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [2, 22]], [[-2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [2, 14]], [[2, 14], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 5], [2, 13]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 7], [2, 19], [2, 23]], [[-2, 7], [2, 19], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[-2, 1], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 7], [2, 11]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 11]], [[-2, 5], [-2, 13]], [[-2, 7], [2, 11]], [[2, 1], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 1], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 1], [-2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 5], [2, 13]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 7], [2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[2, 5], [2, 13]], [[-2, 7], [2, 19], [2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 5], [-2, 13]], [[-2, 5], [-2, 13]], [[2, 7], [-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192848
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 333, 'cyclotomic_n': 72, 'dim': 4, 'faithful': False, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 18, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '576.469', 'image_order': 576, 'indicator': 0, 'kernel': '576.a1.a1', 'kernel_order': 3, 'label': '1728.8372.4c9', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[-4, 9]], [[4, 27]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[4, 18]], [[-4, 18]], [[4, 18]], [[-4, 18]], [[2, 18]], [[0, 0]], [[2, 18]], [[-2, 18]], [[0, 0]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[-4, 9]], [[4, 9]], [[4, 27]], [[-4, 27]], [[-4, 9]], [[-4, 27]], [[4, 27]], [[2, 27]], [[0, 0]], [[-2, 9]], [[2, 27]], [[0, 0]], [[-2, 27]], [[-2, 27]], [[-2, 9]], [[2, 9]], [[-2, 9]], [[2, 9]], [[2, 9]], [[-2, 27]], [[0, 0]], [[2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [2, 14]], [[2, 14], [2, 22]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 14], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7], [2, 19], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 7], [2, 11]], [[-2, 5], [-2, 13]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 5], [-2, 13]], [[2, 1], [2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [2, 17]], [[2, 7], [-2, 11]], [[-2, 1], [-2, 17]], [[-2, 7], [2, 19], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 7], [2, 19], [2, 23]], [[2, 5], [2, 13]], [[-2, 11], [2, 19], [2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[2, 5], [2, 13]], [[-2, 7], [2, 11]], [[-2, 5], [-2, 13]], [[-2, 1], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 7], [2, 11]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 5], [2, 13]], [[2, 7], [-2, 11]], [[2, 7], [-2, 11]], [[2, 1], [2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192852
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 337, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d1', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[4, 9]], [[-4, 27]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, 20]], [[2, 8], [2, 16]], [[-2, 4], [2, 8]], [[-4, 6]], [[4, 30]], [[-4, 30]], [[4, 6]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, 16]], [[-2, 4], [2, 16], [2, 20]], [[2, 4], [2, 20]], [[2, 4], [2, -4]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 33]], [[-4, 21]], [[4, 21]], [[4, 15]], [[-4, 15]], [[4, 33]], [[4, 3]], [[-4, 3]], [[-2, 27]], [[0, 0]], [[2, 9]], [[-2, 3]], [[0, 0]], [[2, 27]], [[-2, 15]], [[-2, 21]], [[-2, 9]], [[2, 33]], [[2, 21]], [[-2, 33]], [[2, 3]], [[0, 0]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 10], [2, 14], [-2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 2], [2, 10]], [[-2, 2], [2, 22]], [[2, 2], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 10], [-2, 14]], [[-2, 2], [-2, 10]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 10], [2, 14]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 14], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 19], [-2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 1], [-2, 5], [2, 13]], [[2, 1], [2, 17]], [[2, 11], [2, 19]], [[2, 7], [2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 1], [-2, 17]], [[-2, 5], [2, 13], [2, 17]], [[-2, 1], [2, 5]], [[-2, 1], [-2, 5], [2, 17]], [[2, 7], [-2, 11]], [[-2, 7], [2, 19], [2, 23]], [[2, 1], [2, 5], [-2, 17]], [[-2, 19], [2, 23]], [[2, 1], [-2, 13], [-2, 17]], [[2, 7], [2, 11], [-2, 19]], [[-2, 1], [2, 13], [2, 17]], [[-2, 7], [2, 11]], [[-2, 7], [-2, 11], [2, 23]], [[2, 7], [2, 11], [-2, 23]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[2, 1], [-2, 5]], [[-2, 11], [-2, 19]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[2, 13], [-2, 17]], [[-2, 5], [-2, 13]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 7], [-2, 11], [2, 19]], [[2, 1], [2, 5], [-2, 13]], [[-2, 13], [2, 17]], [[-2, 7], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[2, 5], [2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192862
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 346, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d10', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 27]], [[-4, 9]], [[-4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, 20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 4], [2, 8]], [[-2, 8], [2, 16], [2, 20]], [[2, 8], [2, 16]], [[4, 30]], [[-4, 6]], [[4, 6]], [[-4, 30]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 6]], [[-2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, 20]], [[2, 4], [-2, 8]], [[-2, 8], [-2, -8]], [[-2, 4], [2, 16], [2, 20]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[-4, 15]], [[4, 15]], [[4, 21]], [[-4, 21]], [[4, 3]], [[4, 33]], [[-4, 33]], [[-2, 9]], [[0, 0]], [[2, 27]], [[-2, 33]], [[0, 0]], [[2, 9]], [[-2, 21]], [[-2, 15]], [[-2, 27]], [[2, 3]], [[2, 15]], [[-2, 3]], [[2, 33]], [[0, 0]], [[2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [2, 22]], [[2, 10], [-2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 10], [2, 14]], [[2, 10], [2, 14], [-2, 22]], [[-2, 2], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[2, 14], [2, 22]], [[-2, 2], [-2, 10]], [[2, 2], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[2, 2], [2, 10]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 5], [-2, 17]], [[2, 1], [2, 17]], [[2, 19], [-2, 23]], [[-2, 7], [2, 11]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 1], [2, 5]], [[-2, 7], [2, 19], [2, 23]], [[2, 7], [-2, 11]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[-2, 11], [-2, 19]], [[-2, 7], [-2, 11], [2, 19]], [[2, 5], [2, 13]], [[-2, 1], [-2, 17]], [[2, 7], [2, 11], [-2, 19]], [[-2, 1], [-2, 5], [2, 17]], [[2, 7], [2, 23]], [[-2, 13], [2, 17]], [[-2, 7], [-2, 23]], [[-2, 5], [-2, 13]], [[-2, 1], [-2, 5], [2, 13]], [[2, 1], [2, 5], [-2, 13]], [[-2, 1], [2, 13], [2, 17]], [[2, 11], [2, 19]], [[-2, 5], [2, 13], [2, 17]], [[2, 1], [-2, 13], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 7], [2, 11], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[2, 13], [-2, 17]], [[-2, 19], [2, 23]], [[-2, 7], [-2, 11], [2, 23]], [[2, 1], [-2, 5]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192863
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 347, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d11', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[-4, 9]], [[4, 27]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, 20]], [[-2, 4], [2, 8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 8], [2, 16]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[-2, 8], [2, 16], [2, 20]], [[-4, 6]], [[4, 30]], [[-4, 30]], [[4, 6]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[2, 4], [-2, 8]], [[-2, 8], [-2, 16]], [[-2, 16], [-2, -16]], [[2, 4], [2, 20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 4], [2, 16], [2, 20]], [[2, 8], [-2, 16], [-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 33]], [[4, 21]], [[-4, 21]], [[-4, 15]], [[4, 15]], [[-4, 33]], [[-4, 3]], [[4, 3]], [[2, 27]], [[0, 0]], [[-2, 9]], [[2, 3]], [[0, 0]], [[-2, 27]], [[2, 15]], [[2, 21]], [[2, 9]], [[-2, 33]], [[-2, 21]], [[2, 33]], [[-2, 3]], [[0, 0]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [-2, 22]], [[2, 14], [2, 22]], [[-2, 2], [-2, 10]], [[-2, 10], [2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[2, 2], [2, 10]], [[2, 10], [-2, 14]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 22]], [[-2, 14], [-2, 22]], [[2, 10], [2, 14], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7], [-2, 11], [2, 19]], [[2, 7], [-2, 11]], [[-2, 1], [-2, 5], [2, 17]], [[2, 5], [2, 13]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 11], [2, 19]], [[2, 1], [2, 17]], [[-2, 5], [-2, 13]], [[-2, 1], [2, 13], [2, 17]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[-2, 7], [2, 11]], [[2, 13], [-2, 17]], [[2, 7], [2, 11], [-2, 19]], [[2, 1], [-2, 5]], [[2, 7], [2, 11], [-2, 23]], [[-2, 1], [2, 5]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 19], [2, 23]], [[2, 19], [-2, 23]], [[2, 7], [2, 23]], [[-2, 5], [2, 13], [2, 17]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 7], [-2, 23]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 1], [-2, 5], [2, 13]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 7], [-2, 11], [2, 23]], [[2, 1], [2, 5], [-2, 17]], [[2, 1], [2, 5], [-2, 13]], [[-2, 11], [-2, 19]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192864
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 348, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d12', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 27]], [[-4, 9]], [[-4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, 16]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [2, 8]], [[-2, 4], [-2, 20]], [[4, 30]], [[-4, 6]], [[4, 6]], [[-4, 30]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 6]], [[-2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 8]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 4], [2, 16], [2, 20]], [[-2, 16], [-2, -16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, 16]], [[2, 4], [2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[-4, 15]], [[4, 15]], [[4, 21]], [[-4, 21]], [[4, 3]], [[4, 33]], [[-4, 33]], [[-2, 9]], [[0, 0]], [[2, 27]], [[-2, 33]], [[0, 0]], [[2, 9]], [[-2, 21]], [[-2, 15]], [[-2, 27]], [[2, 3]], [[2, 15]], [[-2, 3]], [[2, 33]], [[0, 0]], [[2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[-2, 2], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[-2, 10], [2, 14]], [[2, 2], [2, 10]], [[-2, 2], [-2, 10]], [[2, 2], [-2, 10], [-2, 14]], [[2, 10], [2, 14], [-2, 22]], [[2, 10], [-2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[2, 14], [2, 22]], [[2, 2], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 5], [2, 13]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 7], [-2, 11], [2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [-2, 5]], [[2, 1], [-2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 7], [2, 19], [2, 23]], [[-2, 11], [-2, 19]], [[2, 7], [2, 23]], [[-2, 19], [2, 23]], [[-2, 1], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 19], [-2, 23]], [[2, 1], [2, 5], [-2, 13]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 1], [2, 5], [-2, 17]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[2, 1], [2, 17]], [[-2, 13], [2, 17]], [[2, 13], [-2, 17]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 7], [-2, 23]], [[-2, 1], [2, 5]], [[-2, 5], [2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 5], [2, 13]], [[-2, 7], [-2, 11], [2, 19]], [[-2, 7], [2, 11]], [[2, 11], [2, 19]], [[-2, 1], [-2, 5], [2, 17]], [[2, 7], [2, 11], [-2, 23]], [[2, 7], [2, 11], [-2, 19]], [[-2, 1], [2, 13], [2, 17]], [[-2, 5], [-2, 13]], [[2, 7], [-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192865
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 349, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d13', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 27]], [[4, 9]], [[4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, 20]], [[2, 8], [2, 16]], [[-2, 4], [2, 8]], [[4, 6]], [[-4, 30]], [[4, 30]], [[-4, 6]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 30]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, 16]], [[-2, 4], [2, 16], [2, 20]], [[2, 4], [2, 20]], [[2, 4], [2, -4]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 15]], [[-4, 3]], [[4, 3]], [[4, 33]], [[-4, 33]], [[4, 15]], [[4, 21]], [[-4, 21]], [[2, 9]], [[0, 0]], [[-2, 27]], [[-2, 21]], [[0, 0]], [[-2, 9]], [[-2, 33]], [[-2, 3]], [[2, 27]], [[2, 15]], [[2, 3]], [[-2, 15]], [[2, 21]], [[0, 0]], [[2, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 2], [-2, 14], [2, 22]], [[2, 10], [2, 14], [-2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 2], [-2, 10]], [[2, 2], [-2, 22]], [[-2, 2], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 10], [2, 14]], [[2, 2], [2, 10]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 10], [-2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 14], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [2, 5]], [[2, 5], [2, 13]], [[2, 7], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 1], [-2, 5], [2, 17]], [[-2, 1], [-2, 5], [2, 13]], [[-2, 7], [2, 11]], [[-2, 11], [2, 19], [2, 23]], [[2, 7], [2, 11], [-2, 19]], [[2, 19], [-2, 23]], [[2, 11], [2, 19]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 5], [-2, 13]], [[-2, 11], [-2, 19]], [[2, 1], [-2, 5]], [[-2, 7], [-2, 11], [2, 23]], [[-2, 5], [2, 13], [2, 17]], [[2, 7], [2, 11], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 1], [2, 13], [2, 17]], [[2, 13], [-2, 17]], [[-2, 19], [2, 23]], [[2, 1], [2, 5], [-2, 17]], [[-2, 13], [2, 17]], [[2, 7], [-2, 11]], [[2, 1], [2, 17]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 7], [2, 19], [2, 23]], [[-2, 7], [-2, 11], [2, 19]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 7], [-2, 23]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 1], [2, 5], [-2, 13]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192867
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 350, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d14', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[4, 9]], [[-4, 27]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, 20]], [[-2, 4], [2, 8]], [[2, 8], [2, 16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[-4, 30]], [[4, 6]], [[-4, 6]], [[4, 30]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 16], [2, 20]], [[-2, 8], [-2, 16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, -4]], [[2, 4], [-2, 8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, 20]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 21]], [[4, 33]], [[-4, 33]], [[-4, 3]], [[4, 3]], [[-4, 21]], [[-4, 15]], [[4, 15]], [[-2, 27]], [[0, 0]], [[2, 9]], [[2, 15]], [[0, 0]], [[2, 27]], [[2, 3]], [[2, 33]], [[-2, 9]], [[-2, 21]], [[-2, 33]], [[2, 21]], [[-2, 15]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 22]], [[-2, 2], [-2, 10]], [[2, 10], [-2, 14]], [[2, 2], [-2, 22]], [[2, 2], [2, 10]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 10], [2, 14], [-2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 10], [2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[2, 5], [-2, 13], [-2, 17]], [[2, 1], [2, 17]], [[-2, 7], [-2, 11], [2, 23]], [[-2, 7], [-2, 11], [2, 19]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 1], [-2, 17]], [[2, 1], [2, 5], [-2, 13]], [[2, 13], [-2, 17]], [[2, 1], [-2, 13], [-2, 17]], [[2, 7], [-2, 11]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [2, 13], [2, 17]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[-2, 1], [-2, 5], [2, 17]], [[-2, 7], [-2, 23]], [[2, 1], [2, 5], [-2, 17]], [[-2, 7], [2, 11]], [[2, 11], [2, 19]], [[-2, 11], [-2, 19]], [[2, 19], [-2, 23]], [[-2, 13], [2, 17]], [[2, 7], [2, 11], [-2, 23]], [[-2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 1], [2, 5]], [[-2, 5], [-2, 13]], [[-2, 1], [-2, 5], [2, 13]], [[2, 7], [2, 23]], [[-2, 5], [2, 13], [2, 17]], [[2, 1], [-2, 5]], [[2, 7], [2, 11], [-2, 19]], [[-2, 11], [2, 19], [2, 23]], [[2, 5], [2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192868
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 351, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d15', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 27]], [[4, 9]], [[4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 8]], [[2, 8], [2, 16]], [[-2, 8], [2, 16], [2, 20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[-2, 4], [-2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[4, 6]], [[-4, 30]], [[4, 30]], [[-4, 6]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 30]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, 20]], [[2, 8], [-2, 16], [-2, 20]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, 16]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 4], [-2, 8]], [[-2, 4], [2, 16], [2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 15]], [[-4, 3]], [[4, 3]], [[4, 33]], [[-4, 33]], [[4, 15]], [[4, 21]], [[-4, 21]], [[2, 9]], [[0, 0]], [[-2, 27]], [[-2, 21]], [[0, 0]], [[-2, 9]], [[-2, 33]], [[-2, 3]], [[2, 27]], [[2, 15]], [[2, 3]], [[-2, 15]], [[2, 21]], [[0, 0]], [[2, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [-2, 22]], [[-2, 2], [-2, 10]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [2, 22]], [[2, 10], [2, 14], [-2, 22]], [[2, 10], [-2, 14]], [[-2, 10], [2, 14]], [[2, 14], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 1], [-2, 17]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[2, 1], [2, 5], [-2, 13]], [[-2, 13], [2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 7], [2, 11]], [[2, 19], [-2, 23]], [[-2, 7], [-2, 11], [2, 23]], [[-2, 7], [-2, 23]], [[-2, 5], [-2, 13]], [[2, 1], [2, 17]], [[2, 7], [2, 23]], [[-2, 1], [2, 13], [2, 17]], [[2, 7], [2, 11], [-2, 19]], [[-2, 1], [2, 5]], [[-2, 7], [-2, 11], [2, 19]], [[2, 5], [2, 13]], [[-2, 5], [2, 13], [2, 17]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 1], [-2, 5], [2, 17]], [[2, 7], [2, 11], [-2, 23]], [[-2, 1], [-2, 5], [2, 13]], [[2, 1], [2, 5], [-2, 17]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 11], [2, 19]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 19], [2, 23]], [[2, 1], [-2, 5]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 11], [-2, 19]], [[2, 13], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192869
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 352, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d16', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[4, 9]], [[-4, 27]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, 20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 4], [2, 8]], [[-2, 8], [2, 16], [2, 20]], [[2, 8], [2, 16]], [[-4, 30]], [[4, 6]], [[-4, 6]], [[4, 30]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, 20]], [[2, 4], [-2, 8]], [[-2, 8], [-2, -8]], [[-2, 4], [2, 16], [2, 20]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 21]], [[4, 33]], [[-4, 33]], [[-4, 3]], [[4, 3]], [[-4, 21]], [[-4, 15]], [[4, 15]], [[-2, 27]], [[0, 0]], [[2, 9]], [[2, 15]], [[0, 0]], [[2, 27]], [[2, 3]], [[2, 33]], [[-2, 9]], [[-2, 21]], [[-2, 33]], [[2, 21]], [[-2, 15]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 10], [2, 14]], [[2, 10], [2, 14], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 10], [-2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[2, 2], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 2], [2, 10]], [[-2, 2], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 14], [2, 22]], [[-2, 2], [-2, 10]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11], [2, 19]], [[-2, 11], [2, 19], [2, 23]], [[2, 1], [-2, 5]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 7], [2, 11], [-2, 19]], [[-2, 19], [2, 23]], [[2, 5], [2, 13]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 13], [-2, 17]], [[-2, 1], [-2, 5], [2, 17]], [[-2, 5], [2, 13], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 11], [-2, 19]], [[2, 1], [2, 5], [-2, 13]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 1], [-2, 5], [2, 13]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 7], [-2, 23]], [[2, 7], [2, 23]], [[-2, 7], [-2, 11], [2, 23]], [[2, 1], [2, 5], [-2, 17]], [[-2, 7], [-2, 11], [2, 19]], [[2, 7], [2, 11], [-2, 23]], [[-2, 5], [-2, 13]], [[2, 7], [-2, 11]], [[2, 1], [-2, 13], [-2, 17]], [[2, 1], [2, 17]], [[-2, 13], [2, 17]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[-2, 1], [2, 5]], [[-2, 1], [2, 13], [2, 17]], [[2, 19], [-2, 23]], [[-2, 7], [2, 11]], [[-2, 1], [-2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192870
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 353, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d17', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 27]], [[4, 9]], [[4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, 20]], [[-2, 4], [2, 8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 8], [2, 16]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[-2, 8], [2, 16], [2, 20]], [[4, 6]], [[-4, 30]], [[4, 30]], [[-4, 6]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 30]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[2, 4], [-2, 8]], [[-2, 8], [-2, 16]], [[-2, 16], [-2, -16]], [[2, 4], [2, 20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 4], [2, 16], [2, 20]], [[2, 8], [-2, 16], [-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 15]], [[-4, 3]], [[4, 3]], [[4, 33]], [[-4, 33]], [[4, 15]], [[4, 21]], [[-4, 21]], [[2, 9]], [[0, 0]], [[-2, 27]], [[-2, 21]], [[0, 0]], [[-2, 9]], [[-2, 33]], [[-2, 3]], [[2, 27]], [[2, 15]], [[2, 3]], [[-2, 15]], [[2, 21]], [[0, 0]], [[2, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [2, 22]], [[-2, 14], [-2, 22]], [[2, 2], [2, 10]], [[2, 10], [-2, 14]], [[2, 10], [2, 14], [-2, 22]], [[-2, 2], [-2, 10]], [[-2, 10], [2, 14]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 22]], [[2, 14], [2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [2, 13], [2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 11], [-2, 19]], [[-2, 7], [2, 19], [2, 23]], [[2, 13], [-2, 17]], [[2, 1], [2, 5], [-2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 7], [-2, 11], [2, 23]], [[2, 7], [2, 11], [-2, 19]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[2, 1], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 5], [-2, 13], [-2, 17]], [[2, 19], [-2, 23]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 19], [2, 23]], [[-2, 1], [-2, 17]], [[-2, 1], [2, 5]], [[2, 1], [-2, 5]], [[2, 1], [2, 5], [-2, 13]], [[-2, 7], [-2, 11], [2, 19]], [[-2, 13], [2, 17]], [[-2, 1], [-2, 5], [2, 13]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 5], [-2, 13]], [[-2, 7], [-2, 23]], [[2, 7], [-2, 11]], [[2, 7], [2, 11], [-2, 23]], [[-2, 1], [2, 13], [2, 17]], [[2, 11], [2, 19]], [[2, 7], [2, 23]], [[-2, 1], [-2, 5], [2, 17]], [[2, 5], [2, 13]], [[-2, 7], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192871
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 354, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d18', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[4, 9]], [[-4, 27]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, 16]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [2, 8]], [[-2, 4], [-2, 20]], [[-4, 30]], [[4, 6]], [[-4, 6]], [[4, 30]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 8]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 4], [2, 16], [2, 20]], [[-2, 16], [-2, -16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, 16]], [[2, 4], [2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 21]], [[4, 33]], [[-4, 33]], [[-4, 3]], [[4, 3]], [[-4, 21]], [[-4, 15]], [[4, 15]], [[-2, 27]], [[0, 0]], [[2, 9]], [[2, 15]], [[0, 0]], [[2, 27]], [[2, 3]], [[2, 33]], [[-2, 9]], [[-2, 21]], [[-2, 33]], [[2, 21]], [[-2, 15]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [-2, 22]], [[2, 14], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[2, 2], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[2, 10], [-2, 14]], [[-2, 2], [-2, 10]], [[2, 2], [2, 10]], [[-2, 2], [2, 10], [2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[-2, 10], [2, 14]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 10], [2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7], [-2, 23]], [[-2, 7], [2, 11]], [[-2, 1], [2, 13], [2, 17]], [[-2, 5], [-2, 13]], [[2, 19], [-2, 23]], [[2, 7], [2, 11], [-2, 23]], [[-2, 1], [-2, 17]], [[2, 5], [2, 13]], [[-2, 1], [-2, 5], [2, 17]], [[2, 1], [2, 5], [-2, 13]], [[-2, 1], [2, 5]], [[2, 11], [-2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[2, 1], [-2, 5]], [[2, 7], [2, 23]], [[2, 13], [-2, 17]], [[2, 11], [2, 19]], [[-2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 7], [2, 11], [-2, 19]], [[-2, 1], [-2, 5], [2, 13]], [[-2, 19], [2, 23]], [[-2, 7], [-2, 11], [2, 19]], [[2, 1], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[-2, 5], [2, 13], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 1], [2, 5], [-2, 17]], [[-2, 11], [-2, 19]], [[2, 1], [-2, 13], [-2, 17]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 7], [-2, 11], [2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192872
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 355, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d19', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 27]], [[-4, 9]], [[-4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, 20]], [[2, 8], [2, 16]], [[-2, 4], [2, 8]], [[4, 6]], [[-4, 30]], [[4, 30]], [[-4, 6]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 30]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, 16]], [[-2, 4], [2, 16], [2, 20]], [[2, 4], [2, 20]], [[2, 4], [2, -4]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 15]], [[4, 3]], [[-4, 3]], [[-4, 33]], [[4, 33]], [[-4, 15]], [[-4, 21]], [[4, 21]], [[-2, 9]], [[0, 0]], [[2, 27]], [[2, 21]], [[0, 0]], [[2, 9]], [[2, 33]], [[2, 3]], [[-2, 27]], [[-2, 15]], [[-2, 3]], [[2, 15]], [[-2, 21]], [[0, 0]], [[-2, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 2], [-2, 14], [2, 22]], [[2, 10], [2, 14], [-2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 2], [-2, 10]], [[2, 2], [-2, 22]], [[-2, 2], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 10], [2, 14]], [[2, 2], [2, 10]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 10], [-2, 14]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 14], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, 5]], [[-2, 5], [-2, 13]], [[-2, 7], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[2, 1], [2, 5], [-2, 17]], [[2, 1], [2, 5], [-2, 13]], [[2, 7], [-2, 11]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 7], [-2, 11], [2, 19]], [[-2, 19], [2, 23]], [[-2, 11], [-2, 19]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 5], [2, 13]], [[2, 11], [2, 19]], [[-2, 1], [2, 5]], [[2, 7], [2, 11], [-2, 23]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 7], [-2, 11], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 1], [2, 13], [2, 17]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 13], [2, 17]], [[2, 19], [-2, 23]], [[-2, 1], [-2, 5], [2, 17]], [[2, 13], [-2, 17]], [[-2, 7], [2, 11]], [[-2, 1], [-2, 17]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[2, 7], [2, 11], [-2, 19]], [[-2, 5], [2, 13], [2, 17]], [[2, 7], [2, 23]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 1], [-2, 5], [2, 13]], [[2, 1], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192853
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 338, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d2', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 27]], [[4, 9]], [[4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, 20]], [[-2, 4], [2, 8]], [[2, 8], [2, 16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[4, 30]], [[-4, 6]], [[4, 6]], [[-4, 30]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 6]], [[-2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 16], [2, 20]], [[-2, 8], [-2, 16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, -4]], [[2, 4], [-2, 8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, 20]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[4, 15]], [[-4, 15]], [[-4, 21]], [[4, 21]], [[-4, 3]], [[-4, 33]], [[4, 33]], [[2, 9]], [[0, 0]], [[-2, 27]], [[2, 33]], [[0, 0]], [[-2, 9]], [[2, 21]], [[2, 15]], [[2, 27]], [[-2, 3]], [[-2, 15]], [[2, 3]], [[-2, 33]], [[0, 0]], [[-2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 22]], [[2, 2], [2, 10]], [[-2, 10], [2, 14]], [[-2, 2], [2, 22]], [[-2, 2], [-2, 10]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[2, 10], [2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 10], [-2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 13], [-2, 17]], [[2, 5], [2, 13]], [[-2, 7], [-2, 11], [2, 19]], [[2, 11], [-2, 19], [-2, 23]], [[2, 1], [-2, 13], [-2, 17]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 7], [2, 11]], [[-2, 11], [2, 19], [2, 23]], [[-2, 7], [-2, 23]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 7], [-2, 11], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 5], [-2, 13]], [[2, 7], [2, 11], [-2, 23]], [[-2, 13], [2, 17]], [[2, 11], [2, 19]], [[2, 1], [2, 5], [-2, 13]], [[-2, 11], [-2, 19]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 1], [-2, 5], [2, 17]], [[2, 1], [2, 5], [-2, 17]], [[-2, 1], [2, 5]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[-2, 1], [2, 13], [2, 17]], [[2, 1], [-2, 5]], [[2, 7], [-2, 11]], [[2, 1], [2, 17]], [[2, 19], [-2, 23]], [[-2, 7], [2, 19], [2, 23]], [[2, 7], [2, 23]], [[-2, 1], [-2, 5], [2, 13]], [[2, 7], [2, 11], [-2, 19]], [[-2, 19], [2, 23]], [[-2, 5], [2, 13], [2, 17]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192873
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 356, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d20', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[-4, 9]], [[4, 27]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, 20]], [[-2, 4], [2, 8]], [[2, 8], [2, 16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[-4, 30]], [[4, 6]], [[-4, 6]], [[4, 30]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 16], [2, 20]], [[-2, 8], [-2, 16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, -4]], [[2, 4], [-2, 8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, 20]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 21]], [[-4, 33]], [[4, 33]], [[4, 3]], [[-4, 3]], [[4, 21]], [[4, 15]], [[-4, 15]], [[2, 27]], [[0, 0]], [[-2, 9]], [[-2, 15]], [[0, 0]], [[-2, 27]], [[-2, 3]], [[-2, 33]], [[2, 9]], [[2, 21]], [[2, 33]], [[-2, 21]], [[2, 15]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 22]], [[-2, 2], [-2, 10]], [[2, 10], [-2, 14]], [[2, 2], [-2, 22]], [[2, 2], [2, 10]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 10], [2, 14], [-2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 10], [2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[-2, 7], [2, 19], [2, 23]], [[-2, 5], [2, 13], [2, 17]], [[-2, 1], [-2, 17]], [[2, 7], [2, 11], [-2, 23]], [[2, 7], [2, 11], [-2, 19]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 1], [2, 17]], [[-2, 1], [-2, 5], [2, 13]], [[-2, 13], [2, 17]], [[-2, 1], [2, 13], [2, 17]], [[-2, 7], [2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [-2, 13], [-2, 17]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[2, 1], [2, 5], [-2, 17]], [[2, 7], [2, 23]], [[-2, 1], [-2, 5], [2, 17]], [[2, 7], [-2, 11]], [[-2, 11], [-2, 19]], [[2, 11], [2, 19]], [[-2, 19], [2, 23]], [[2, 13], [-2, 17]], [[-2, 7], [-2, 11], [2, 23]], [[2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 1], [-2, 5]], [[2, 5], [2, 13]], [[2, 1], [2, 5], [-2, 13]], [[-2, 7], [-2, 23]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 1], [2, 5]], [[-2, 7], [-2, 11], [2, 19]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 5], [-2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192874
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 357, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d21', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 27]], [[-4, 9]], [[-4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 8]], [[2, 8], [2, 16]], [[-2, 8], [2, 16], [2, 20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[-2, 4], [-2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[4, 6]], [[-4, 30]], [[4, 30]], [[-4, 6]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 30]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, 20]], [[2, 8], [-2, 16], [-2, 20]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, 16]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 4], [-2, 8]], [[-2, 4], [2, 16], [2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 15]], [[4, 3]], [[-4, 3]], [[-4, 33]], [[4, 33]], [[-4, 15]], [[-4, 21]], [[4, 21]], [[-2, 9]], [[0, 0]], [[2, 27]], [[2, 21]], [[0, 0]], [[2, 9]], [[2, 33]], [[2, 3]], [[-2, 27]], [[-2, 15]], [[-2, 3]], [[2, 15]], [[-2, 21]], [[0, 0]], [[-2, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [-2, 22]], [[-2, 2], [-2, 10]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [2, 22]], [[2, 10], [2, 14], [-2, 22]], [[2, 10], [-2, 14]], [[-2, 10], [2, 14]], [[2, 14], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [2, 13], [2, 17]], [[2, 1], [2, 17]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 7], [2, 11]], [[-2, 1], [-2, 5], [2, 13]], [[2, 13], [-2, 17]], [[-2, 7], [2, 19], [2, 23]], [[2, 7], [-2, 11]], [[-2, 19], [2, 23]], [[2, 7], [2, 11], [-2, 23]], [[2, 7], [2, 23]], [[2, 5], [2, 13]], [[-2, 1], [-2, 17]], [[-2, 7], [-2, 23]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 7], [-2, 11], [2, 19]], [[2, 1], [-2, 5]], [[2, 7], [2, 11], [-2, 19]], [[-2, 5], [-2, 13]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 5], [2, 13], [2, 17]], [[2, 1], [2, 5], [-2, 17]], [[-2, 7], [-2, 11], [2, 23]], [[2, 1], [2, 5], [-2, 13]], [[-2, 1], [-2, 5], [2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 11], [-2, 19]], [[-2, 11], [2, 19], [2, 23]], [[2, 19], [-2, 23]], [[-2, 1], [2, 5]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 11], [2, 19]], [[-2, 13], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192875
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 358, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d22', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[-4, 9]], [[4, 27]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, 20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 4], [2, 8]], [[-2, 8], [2, 16], [2, 20]], [[2, 8], [2, 16]], [[-4, 30]], [[4, 6]], [[-4, 6]], [[4, 30]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, 20]], [[2, 4], [-2, 8]], [[-2, 8], [-2, -8]], [[-2, 4], [2, 16], [2, 20]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 21]], [[-4, 33]], [[4, 33]], [[4, 3]], [[-4, 3]], [[4, 21]], [[4, 15]], [[-4, 15]], [[2, 27]], [[0, 0]], [[-2, 9]], [[-2, 15]], [[0, 0]], [[-2, 27]], [[-2, 3]], [[-2, 33]], [[2, 9]], [[2, 21]], [[2, 33]], [[-2, 21]], [[2, 15]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 10], [2, 14]], [[2, 10], [2, 14], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 10], [-2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[2, 2], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[2, 2], [2, 10]], [[-2, 2], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 14], [2, 22]], [[-2, 2], [-2, 10]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11], [-2, 19]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 1], [2, 5]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 7], [-2, 11], [2, 19]], [[2, 19], [-2, 23]], [[-2, 5], [-2, 13]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 13], [2, 17]], [[2, 1], [2, 5], [-2, 17]], [[2, 5], [-2, 13], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 5], [2, 13], [2, 17]], [[2, 11], [2, 19]], [[-2, 1], [-2, 5], [2, 13]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 1], [2, 5], [-2, 13]], [[-2, 7], [2, 19], [2, 23]], [[2, 7], [2, 23]], [[-2, 7], [-2, 23]], [[2, 7], [2, 11], [-2, 23]], [[-2, 1], [-2, 5], [2, 17]], [[2, 7], [2, 11], [-2, 19]], [[-2, 7], [-2, 11], [2, 23]], [[2, 5], [2, 13]], [[-2, 7], [2, 11]], [[-2, 1], [2, 13], [2, 17]], [[-2, 1], [-2, 17]], [[2, 13], [-2, 17]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[2, 1], [-2, 5]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 19], [2, 23]], [[2, 7], [-2, 11]], [[2, 1], [2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192876
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 359, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d23', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 27]], [[-4, 9]], [[-4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, 20]], [[-2, 4], [2, 8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 8], [2, 16]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[-2, 8], [2, 16], [2, 20]], [[4, 6]], [[-4, 30]], [[4, 30]], [[-4, 6]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 30]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[2, 4], [-2, 8]], [[-2, 8], [-2, 16]], [[-2, 16], [-2, -16]], [[2, 4], [2, 20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 4], [2, 16], [2, 20]], [[2, 8], [-2, 16], [-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 15]], [[4, 3]], [[-4, 3]], [[-4, 33]], [[4, 33]], [[-4, 15]], [[-4, 21]], [[4, 21]], [[-2, 9]], [[0, 0]], [[2, 27]], [[2, 21]], [[0, 0]], [[2, 9]], [[2, 33]], [[2, 3]], [[-2, 27]], [[-2, 15]], [[-2, 3]], [[2, 15]], [[-2, 21]], [[0, 0]], [[-2, 33]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [2, 22]], [[-2, 14], [-2, 22]], [[2, 2], [2, 10]], [[2, 10], [-2, 14]], [[2, 10], [2, 14], [-2, 22]], [[-2, 2], [-2, 10]], [[-2, 10], [2, 14]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 22]], [[2, 14], [2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 11], [2, 19]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 13], [2, 17]], [[-2, 1], [-2, 5], [2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 7], [2, 19], [2, 23]], [[2, 7], [2, 11], [-2, 23]], [[-2, 7], [-2, 11], [2, 19]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[-2, 1], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 5], [2, 13], [2, 17]], [[-2, 19], [2, 23]], [[-2, 1], [2, 13], [2, 17]], [[2, 19], [-2, 23]], [[2, 1], [2, 17]], [[2, 1], [-2, 5]], [[-2, 1], [2, 5]], [[-2, 1], [-2, 5], [2, 13]], [[2, 7], [2, 11], [-2, 19]], [[2, 13], [-2, 17]], [[2, 1], [2, 5], [-2, 13]], [[-2, 11], [2, 19], [2, 23]], [[2, 5], [2, 13]], [[2, 7], [2, 23]], [[-2, 7], [2, 11]], [[-2, 7], [-2, 11], [2, 23]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 11], [-2, 19]], [[-2, 7], [-2, 23]], [[2, 1], [2, 5], [-2, 17]], [[-2, 5], [-2, 13]], [[2, 7], [-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192878
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 360, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d24', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[-4, 9]], [[4, 27]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, 16]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [2, 8]], [[-2, 4], [-2, 20]], [[-4, 30]], [[4, 6]], [[-4, 6]], [[4, 30]], [[-2, 30]], [[0, 0]], [[2, 18]], [[2, 6]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 8]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 4], [2, 16], [2, 20]], [[-2, 16], [-2, -16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, 16]], [[2, 4], [2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 21]], [[-4, 33]], [[4, 33]], [[4, 3]], [[-4, 3]], [[4, 21]], [[4, 15]], [[-4, 15]], [[2, 27]], [[0, 0]], [[-2, 9]], [[-2, 15]], [[0, 0]], [[-2, 27]], [[-2, 3]], [[-2, 33]], [[2, 9]], [[2, 21]], [[2, 33]], [[-2, 21]], [[2, 15]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [-2, 22]], [[2, 14], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[2, 2], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[2, 10], [-2, 14]], [[-2, 2], [-2, 10]], [[2, 2], [2, 10]], [[-2, 2], [2, 10], [2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[-2, 10], [2, 14]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 10], [2, 14], [-2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, 23]], [[2, 7], [-2, 11]], [[2, 1], [-2, 13], [-2, 17]], [[2, 5], [2, 13]], [[-2, 19], [2, 23]], [[-2, 7], [-2, 11], [2, 23]], [[2, 1], [2, 17]], [[-2, 5], [-2, 13]], [[2, 1], [2, 5], [-2, 17]], [[-2, 1], [-2, 5], [2, 13]], [[2, 1], [-2, 5]], [[-2, 11], [2, 19], [2, 23]], [[-2, 7], [2, 11]], [[-2, 1], [2, 5]], [[-2, 7], [-2, 23]], [[-2, 13], [2, 17]], [[-2, 11], [-2, 19]], [[2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 7], [-2, 11], [2, 19]], [[2, 1], [2, 5], [-2, 13]], [[2, 19], [-2, 23]], [[2, 7], [2, 11], [-2, 19]], [[-2, 1], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[2, 5], [-2, 13], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 1], [-2, 5], [2, 17]], [[2, 11], [2, 19]], [[-2, 1], [2, 13], [2, 17]], [[-2, 5], [2, 13], [2, 17]], [[2, 7], [2, 11], [-2, 23]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192854
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 339, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d3', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[4, 9]], [[-4, 27]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 8]], [[2, 8], [2, 16]], [[-2, 8], [2, 16], [2, 20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[-2, 4], [-2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[-4, 6]], [[4, 30]], [[-4, 30]], [[4, 6]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, 20]], [[2, 8], [-2, 16], [-2, 20]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, 16]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 4], [-2, 8]], [[-2, 4], [2, 16], [2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 33]], [[-4, 21]], [[4, 21]], [[4, 15]], [[-4, 15]], [[4, 33]], [[4, 3]], [[-4, 3]], [[-2, 27]], [[0, 0]], [[2, 9]], [[-2, 3]], [[0, 0]], [[2, 27]], [[-2, 15]], [[-2, 21]], [[-2, 9]], [[2, 33]], [[2, 21]], [[-2, 33]], [[2, 3]], [[0, 0]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [2, 22]], [[2, 2], [2, 10]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [-2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[-2, 10], [2, 14]], [[2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 10], [2, 14], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 14], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7], [-2, 11], [2, 23]], [[-2, 11], [2, 19], [2, 23]], [[-2, 13], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 7], [-2, 23]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 5], [2, 13]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 1], [2, 5]], [[2, 1], [-2, 13], [-2, 17]], [[2, 1], [2, 5], [-2, 13]], [[-2, 7], [2, 19], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 1], [-2, 5], [2, 13]], [[2, 7], [2, 11], [-2, 23]], [[-2, 5], [2, 13], [2, 17]], [[2, 19], [-2, 23]], [[2, 5], [-2, 13], [-2, 17]], [[2, 7], [-2, 19], [-2, 23]], [[2, 7], [2, 11], [-2, 19]], [[-2, 7], [-2, 11], [2, 19]], [[2, 11], [2, 19]], [[-2, 1], [2, 13], [2, 17]], [[2, 7], [2, 23]], [[-2, 11], [-2, 19]], [[-2, 5], [-2, 13]], [[2, 7], [-2, 11]], [[-2, 1], [-2, 5], [2, 17]], [[2, 1], [2, 17]], [[2, 1], [-2, 5]], [[-2, 19], [2, 23]], [[2, 13], [-2, 17]], [[2, 1], [2, 5], [-2, 17]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 7], [2, 11]], [[-2, 1], [-2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192856
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 340, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d4', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 27]], [[4, 9]], [[4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, 20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 4], [2, 8]], [[-2, 8], [2, 16], [2, 20]], [[2, 8], [2, 16]], [[4, 30]], [[-4, 6]], [[4, 6]], [[-4, 30]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 6]], [[-2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, 20]], [[2, 4], [-2, 8]], [[-2, 8], [-2, -8]], [[-2, 4], [2, 16], [2, 20]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[4, 15]], [[-4, 15]], [[-4, 21]], [[4, 21]], [[-4, 3]], [[-4, 33]], [[4, 33]], [[2, 9]], [[0, 0]], [[-2, 27]], [[2, 33]], [[0, 0]], [[-2, 9]], [[2, 21]], [[2, 15]], [[2, 27]], [[-2, 3]], [[-2, 15]], [[2, 3]], [[-2, 33]], [[0, 0]], [[-2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 10], [2, 22]], [[2, 10], [-2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 10], [2, 14]], [[2, 10], [2, 14], [-2, 22]], [[-2, 2], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[2, 14], [2, 22]], [[-2, 2], [-2, 10]], [[2, 2], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[2, 2], [2, 10]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 5], [2, 17]], [[-2, 1], [-2, 17]], [[-2, 19], [2, 23]], [[2, 7], [-2, 11]], [[-2, 5], [2, 13], [2, 17]], [[2, 1], [-2, 5]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 7], [2, 11]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[2, 11], [2, 19]], [[2, 7], [2, 11], [-2, 19]], [[-2, 5], [-2, 13]], [[2, 1], [2, 17]], [[-2, 7], [-2, 11], [2, 19]], [[2, 1], [2, 5], [-2, 17]], [[-2, 7], [-2, 23]], [[2, 13], [-2, 17]], [[2, 7], [2, 23]], [[2, 5], [2, 13]], [[2, 1], [2, 5], [-2, 13]], [[-2, 1], [-2, 5], [2, 13]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 11], [-2, 19]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 1], [2, 13], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 7], [-2, 11], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[-2, 13], [2, 17]], [[2, 19], [-2, 23]], [[2, 7], [2, 11], [-2, 23]], [[-2, 1], [2, 5]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192857
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 341, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d5', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 27]], [[4, 9]], [[-4, 27]], [[-4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, 20]], [[-2, 4], [2, 8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 8], [2, 16]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[-2, 8], [2, 16], [2, 20]], [[-4, 6]], [[4, 30]], [[-4, 30]], [[4, 6]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[2, 4], [-2, 8]], [[-2, 8], [-2, 16]], [[-2, 16], [-2, -16]], [[2, 4], [2, 20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 4], [2, 16], [2, 20]], [[2, 8], [-2, 16], [-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 33]], [[-4, 21]], [[4, 21]], [[4, 15]], [[-4, 15]], [[4, 33]], [[4, 3]], [[-4, 3]], [[-2, 27]], [[0, 0]], [[2, 9]], [[-2, 3]], [[0, 0]], [[2, 27]], [[-2, 15]], [[-2, 21]], [[-2, 9]], [[2, 33]], [[2, 21]], [[-2, 33]], [[2, 3]], [[0, 0]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 10], [-2, 22]], [[2, 14], [2, 22]], [[-2, 2], [-2, 10]], [[-2, 10], [2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[2, 2], [2, 10]], [[2, 10], [-2, 14]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 22]], [[-2, 14], [-2, 22]], [[2, 10], [2, 14], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, 11], [-2, 19]], [[-2, 7], [2, 11]], [[2, 1], [2, 5], [-2, 17]], [[-2, 5], [-2, 13]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 11], [-2, 19]], [[-2, 1], [-2, 17]], [[2, 5], [2, 13]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 5], [2, 13], [2, 17]], [[2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[-2, 13], [2, 17]], [[-2, 7], [-2, 11], [2, 19]], [[-2, 1], [2, 5]], [[-2, 7], [-2, 11], [2, 23]], [[2, 1], [-2, 5]], [[-2, 11], [2, 19], [2, 23]], [[2, 19], [-2, 23]], [[-2, 19], [2, 23]], [[-2, 7], [-2, 23]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 7], [2, 23]], [[2, 1], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[2, 1], [2, 5], [-2, 13]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 1], [2, 13], [2, 17]], [[2, 7], [2, 11], [-2, 23]], [[-2, 1], [-2, 5], [2, 17]], [[-2, 1], [-2, 5], [2, 13]], [[2, 11], [2, 19]], [[2, 7], [-2, 19], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192858
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 342, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d6', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 9]], [[-4, 27]], [[4, 9]], [[4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, 16]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [2, 8]], [[-2, 4], [-2, 20]], [[4, 30]], [[-4, 6]], [[4, 6]], [[-4, 30]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 6]], [[-2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 8]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 4], [2, 16], [2, 20]], [[-2, 16], [-2, -16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, 16]], [[2, 4], [2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[4, 15]], [[-4, 15]], [[-4, 21]], [[4, 21]], [[-4, 3]], [[-4, 33]], [[4, 33]], [[2, 9]], [[0, 0]], [[-2, 27]], [[2, 33]], [[0, 0]], [[-2, 9]], [[2, 21]], [[2, 15]], [[2, 27]], [[-2, 3]], [[-2, 15]], [[2, 3]], [[-2, 33]], [[0, 0]], [[-2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [2, 22]], [[-2, 14], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[-2, 2], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[-2, 10], [2, 14]], [[2, 2], [2, 10]], [[-2, 2], [-2, 10]], [[2, 2], [-2, 10], [-2, 14]], [[2, 10], [2, 14], [-2, 22]], [[2, 10], [-2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[-2, 10], [-2, 14], [2, 22]], [[2, 14], [2, 22]], [[2, 2], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 5], [-2, 13]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 7], [2, 11], [-2, 23]], [[-2, 7], [2, 19], [2, 23]], [[-2, 1], [2, 5]], [[-2, 1], [2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[2, 11], [2, 19]], [[-2, 7], [-2, 23]], [[2, 19], [-2, 23]], [[2, 1], [2, 17]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[-2, 19], [2, 23]], [[-2, 1], [-2, 5], [2, 13]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 1], [-2, 5], [2, 17]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[-2, 1], [-2, 17]], [[2, 13], [-2, 17]], [[-2, 13], [2, 17]], [[-2, 5], [2, 13], [2, 17]], [[2, 7], [2, 23]], [[2, 1], [-2, 5]], [[2, 5], [-2, 13], [-2, 17]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 5], [-2, 13]], [[2, 7], [2, 11], [-2, 19]], [[2, 7], [-2, 11]], [[-2, 11], [-2, 19]], [[2, 1], [2, 5], [-2, 17]], [[-2, 7], [-2, 11], [2, 23]], [[-2, 7], [-2, 11], [2, 19]], [[2, 1], [-2, 13], [-2, 17]], [[2, 5], [2, 13]], [[-2, 7], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192859
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 343, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d7', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[-4, 9]], [[4, 27]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, 20]], [[2, 8], [2, 16]], [[-2, 4], [2, 8]], [[-4, 6]], [[4, 30]], [[-4, 30]], [[4, 6]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, 16]], [[-2, 4], [2, 16], [2, 20]], [[2, 4], [2, 20]], [[2, 4], [2, -4]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 33]], [[4, 21]], [[-4, 21]], [[-4, 15]], [[4, 15]], [[-4, 33]], [[-4, 3]], [[4, 3]], [[2, 27]], [[0, 0]], [[-2, 9]], [[2, 3]], [[0, 0]], [[-2, 27]], [[2, 15]], [[2, 21]], [[2, 9]], [[-2, 33]], [[-2, 21]], [[2, 33]], [[-2, 3]], [[0, 0]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 10], [2, 14], [-2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 2], [2, 10]], [[-2, 2], [2, 22]], [[2, 2], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[2, 10], [-2, 14]], [[-2, 2], [-2, 10]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[-2, 10], [2, 14]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 14], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 19], [2, 23]], [[-2, 7], [2, 19], [2, 23]], [[2, 1], [2, 5], [-2, 13]], [[-2, 1], [-2, 17]], [[-2, 11], [-2, 19]], [[-2, 7], [-2, 23]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 1], [2, 17]], [[2, 5], [-2, 13], [-2, 17]], [[2, 1], [-2, 5]], [[2, 1], [2, 5], [-2, 17]], [[-2, 7], [2, 11]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 1], [-2, 5], [2, 17]], [[2, 19], [-2, 23]], [[-2, 1], [2, 13], [2, 17]], [[-2, 7], [-2, 11], [2, 19]], [[2, 1], [-2, 13], [-2, 17]], [[2, 7], [-2, 11]], [[2, 7], [2, 11], [-2, 23]], [[-2, 7], [-2, 11], [2, 23]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[-2, 1], [2, 5]], [[2, 11], [2, 19]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[-2, 11], [2, 19], [2, 23]], [[-2, 13], [2, 17]], [[2, 5], [2, 13]], [[-2, 5], [2, 13], [2, 17]], [[2, 7], [2, 11], [-2, 19]], [[-2, 1], [-2, 5], [2, 13]], [[2, 13], [-2, 17]], [[2, 7], [2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[-2, 5], [-2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192860
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 344, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d8', 'nt': [288, 24], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 12]], [[-2, 0]], [[-2, 24]], [[2, 12]], [[4, 18]], [[-4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 12]], [[2, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 9]], [[4, 27]], [[-4, 9]], [[-4, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, 20]], [[-2, 4], [2, 8]], [[2, 8], [2, 16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 8], [2, 16], [2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[4, 30]], [[-4, 6]], [[4, 6]], [[-4, 30]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 6]], [[-2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 16], [2, 20]], [[-2, 8], [-2, 16]], [[2, 8], [-2, 16], [-2, 20]], [[2, 4], [2, -4]], [[2, 4], [-2, 8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, 20]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[-4, 15]], [[4, 15]], [[4, 21]], [[-4, 21]], [[4, 3]], [[4, 33]], [[-4, 33]], [[-2, 9]], [[0, 0]], [[2, 27]], [[-2, 33]], [[0, 0]], [[2, 9]], [[-2, 21]], [[-2, 15]], [[-2, 27]], [[2, 3]], [[2, 15]], [[-2, 3]], [[2, 33]], [[0, 0]], [[2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 2], [-2, 22]], [[2, 2], [2, 10]], [[-2, 10], [2, 14]], [[-2, 2], [2, 22]], [[-2, 2], [-2, 10]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[2, 10], [2, 14], [-2, 22]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 14], [2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [-2, 10], [-2, 14]], [[2, 10], [-2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 13], [2, 17]], [[-2, 5], [-2, 13]], [[2, 7], [2, 11], [-2, 19]], [[-2, 11], [2, 19], [2, 23]], [[-2, 1], [2, 13], [2, 17]], [[-2, 5], [2, 13], [2, 17]], [[2, 7], [-2, 11]], [[2, 11], [-2, 19], [-2, 23]], [[2, 7], [2, 23]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 7], [2, 11], [-2, 23]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 5], [2, 13]], [[-2, 7], [-2, 11], [2, 23]], [[2, 13], [-2, 17]], [[-2, 11], [-2, 19]], [[-2, 1], [-2, 5], [2, 13]], [[2, 11], [2, 19]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 1], [2, 5], [-2, 17]], [[-2, 1], [-2, 5], [2, 17]], [[2, 1], [-2, 5]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 1], [2, 5]], [[-2, 7], [2, 11]], [[-2, 1], [-2, 17]], [[-2, 19], [2, 23]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 7], [-2, 23]], [[2, 1], [2, 5], [-2, 13]], [[-2, 7], [-2, 11], [2, 19]], [[2, 19], [-2, 23]], [[2, 5], [-2, 13], [-2, 17]], [[2, 1], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 25192861
    {'center': '72.c1.a1', 'center_index': 72, 'center_order': 24, 'counter': 345, 'cyclotomic_n': 72, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1728.8372', 'group_counter': 8372, 'group_order': 1728, 'image': None, 'image_isoclass': '1728.8372', 'image_order': 1728, 'indicator': 0, 'kernel': '1728.a1.a1', 'kernel_order': 1, 'label': '1728.8372.4d9', 'nt': [288, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 24]], [[-2, 0]], [[2, 12]], [[-2, 24]], [[-4, 18]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 24]], [[2, 0]], [[2, 24]], [[0, 0]], [[0, 0]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 27]], [[-4, 9]], [[4, 27]], [[4, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 8]], [[2, 8], [2, 16]], [[-2, 8], [2, 16], [2, 20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 4], [-2, 8], [-2, 16], [2, 20]], [[-2, 4], [-2, 20]], [[2, 4], [-2, 16], [-2, 20]], [[-4, 6]], [[4, 30]], [[-4, 30]], [[4, 6]], [[-2, 6]], [[0, 0]], [[2, 18]], [[2, 30]], [[0, 0]], [[-2, 18]], [[-2, 30]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, 20]], [[2, 8], [-2, 16], [-2, 20]], [[-2, 4], [2, 8], [2, 16], [-2, 20]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, 16]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 4], [-2, 8]], [[-2, 4], [2, 16], [2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 33]], [[4, 21]], [[-4, 21]], [[-4, 15]], [[4, 15]], [[-4, 33]], [[-4, 3]], [[4, 3]], [[2, 27]], [[0, 0]], [[-2, 9]], [[2, 3]], [[0, 0]], [[-2, 27]], [[2, 15]], [[2, 21]], [[2, 9]], [[-2, 33]], [[-2, 21]], [[2, 33]], [[-2, 3]], [[0, 0]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, 10], [-2, 14]], [[-2, 2], [2, 10], [-2, 22]], [[2, 2], [-2, 14], [2, 22]], [[-2, 2], [2, 22]], [[2, 2], [2, 10]], [[-2, 2], [2, 14], [-2, 22]], [[2, 2], [-2, 22]], [[-2, 10], [-2, 14], [2, 22]], [[-2, 10], [2, 14]], [[2, 10], [-2, 14]], [[-2, 14], [-2, 22]], [[-2, 2], [-2, 10], [2, 14], [2, 22]], [[2, 10], [2, 14], [-2, 22]], [[-2, 2], [2, 10], [2, 14]], [[2, 14], [2, 22]], [[2, 2], [2, 10], [-2, 14], [-2, 22]], [[2, 2], [-2, 10], [2, 22]], [[-2, 2], [-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, 11], [-2, 23]], [[2, 11], [-2, 19], [-2, 23]], [[2, 13], [-2, 17]], [[2, 1], [-2, 5], [-2, 13], [2, 17]], [[2, 7], [2, 23]], [[2, 7], [-2, 11], [-2, 19], [2, 23]], [[-2, 5], [-2, 13]], [[-2, 1], [2, 5], [2, 13], [-2, 17]], [[2, 1], [-2, 5]], [[-2, 1], [2, 13], [2, 17]], [[-2, 1], [-2, 5], [2, 13]], [[2, 7], [-2, 19], [-2, 23]], [[-2, 11], [2, 19], [2, 23]], [[2, 1], [2, 5], [-2, 13]], [[-2, 7], [-2, 11], [2, 23]], [[2, 5], [-2, 13], [-2, 17]], [[-2, 19], [2, 23]], [[-2, 5], [2, 13], [2, 17]], [[-2, 7], [2, 19], [2, 23]], [[-2, 7], [-2, 11], [2, 19]], [[2, 7], [2, 11], [-2, 19]], [[-2, 11], [-2, 19]], [[2, 1], [-2, 13], [-2, 17]], [[-2, 7], [-2, 23]], [[2, 11], [2, 19]], [[2, 5], [2, 13]], [[-2, 7], [2, 11]], [[2, 1], [2, 5], [-2, 17]], [[-2, 1], [-2, 17]], [[-2, 1], [2, 5]], [[2, 19], [-2, 23]], [[-2, 13], [2, 17]], [[-2, 1], [-2, 5], [2, 17]], [[-2, 7], [2, 11], [2, 19], [-2, 23]], [[2, 7], [-2, 11]], [[2, 1], [2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 105601086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 1728, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '1728.8372.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1728.8372', 'subgroup_hash': 8372, 'subgroup_order': 1728, 'subgroup_tex': 'C_{48}.D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 864, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '864.1455', 'subgroup_hash': 1455, 'subgroup_order': 864, 'subgroup_tex': 'C_{24}.D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 864, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '864.599', 'subgroup_hash': 599, 'subgroup_order': 864, 'subgroup_tex': 'C_{144}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 864, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '864.364', 'subgroup_hash': 364, 'subgroup_order': 864, 'subgroup_tex': 'C_{18}:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601309
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 864, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '864.308', 'subgroup_hash': 308, 'subgroup_order': 864, 'subgroup_tex': 'D_9\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601320
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 864, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.2.d1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '864.308', 'subgroup_hash': 308, 'subgroup_order': 864, 'subgroup_tex': 'D_9\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 864, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '864.309', 'subgroup_hash': 309, 'subgroup_order': 864, 'subgroup_tex': 'C_{144}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 864, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.2.e1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '864.309', 'subgroup_hash': 309, 'subgroup_order': 864, 'subgroup_tex': 'C_{144}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': True, 'core_order': 576, 'counter': 9, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1728.8372.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '576.469', 'subgroup_hash': 469, 'subgroup_order': 576, 'subgroup_tex': 'C_{16}.D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 288, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.3.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.3886', 'subgroup_hash': 3886, 'subgroup_order': 576, 'subgroup_tex': 'D_{12}.C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 432, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.344', 'subgroup_hash': 344, 'subgroup_order': 432, 'subgroup_tex': 'D_{36}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601109
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 432, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.209', 'subgroup_hash': 209, 'subgroup_order': 432, 'subgroup_tex': 'C_6\\times C_{72}', 'supersolvable': True, 'sylow': 0}
  • id: 105601120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 432, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.125', 'subgroup_hash': 125, 'subgroup_order': 432, 'subgroup_tex': 'C_{36}.C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601131
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 432, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.105', 'subgroup_hash': 105, 'subgroup_order': 432, 'subgroup_tex': 'D_9\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601142
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 432, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.105', 'subgroup_hash': 105, 'subgroup_order': 432, 'subgroup_tex': 'D_9\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 432, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.106', 'subgroup_hash': 106, 'subgroup_order': 432, 'subgroup_tex': 'C_{72}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 432, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.106', 'subgroup_hash': 106, 'subgroup_order': 432, 'subgroup_tex': 'C_{72}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601175
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 432, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.34', 'subgroup_hash': 34, 'subgroup_order': 432, 'subgroup_tex': 'C_3\\times C_{144}', 'supersolvable': True, 'sylow': 0}
  • id: 105601186
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 432, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.34', 'subgroup_hash': 34, 'subgroup_order': 432, 'subgroup_tex': 'C_3\\times C_{144}', 'supersolvable': True, 'sylow': 0}
  • id: 105601198
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': True, 'centralizer_order': 96, 'characteristic': True, 'core_order': 432, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.28', 'subgroup_hash': 28, 'subgroup_order': 432, 'subgroup_tex': 'C_9:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601209
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 432, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '432.28', 'subgroup_hash': 28, 'subgroup_order': 432, 'subgroup_tex': 'C_9:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 288, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '288.112', 'subgroup_hash': 112, 'subgroup_order': 288, 'subgroup_tex': 'C_8.D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 288, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '288.328', 'subgroup_hash': 328, 'subgroup_order': 288, 'subgroup_tex': 'C_3^2\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 288, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.60', 'subgroup_hash': 60, 'subgroup_order': 288, 'subgroup_tex': 'C_9\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601253
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 288, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.18', 'subgroup_hash': 18, 'subgroup_order': 288, 'subgroup_tex': 'C_{18}:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601264
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 288, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.4', 'subgroup_hash': 4, 'subgroup_order': 288, 'subgroup_tex': 'C_{16}\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601275
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 288, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.6.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.4', 'subgroup_hash': 4, 'subgroup_order': 288, 'subgroup_tex': 'C_{16}\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 288, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.5', 'subgroup_hash': 5, 'subgroup_order': 288, 'subgroup_tex': 'C_{144}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 288, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.6.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.5', 'subgroup_hash': 5, 'subgroup_order': 288, 'subgroup_tex': 'C_{144}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 144, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.672', 'subgroup_hash': 672, 'subgroup_order': 288, 'subgroup_tex': 'C_{24}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601289
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 144, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.6.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.245', 'subgroup_hash': 245, 'subgroup_order': 288, 'subgroup_tex': 'C_6:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 96, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.6.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.60', 'subgroup_hash': 60, 'subgroup_order': 288, 'subgroup_tex': 'C_9\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601291
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 144, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.6.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.231', 'subgroup_hash': 231, 'subgroup_order': 288, 'subgroup_tex': 'S_3\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601292
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 144, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.6.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.231', 'subgroup_hash': 231, 'subgroup_order': 288, 'subgroup_tex': 'S_3\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 144, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.6.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.232', 'subgroup_hash': 232, 'subgroup_order': 288, 'subgroup_tex': 'C_{48}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 144, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.6.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.232', 'subgroup_hash': 232, 'subgroup_order': 288, 'subgroup_tex': 'C_{48}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 216, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.57', 'subgroup_hash': 57, 'subgroup_order': 216, 'subgroup_tex': 'D_{18}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 216, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.57', 'subgroup_hash': 57, 'subgroup_order': 216, 'subgroup_tex': 'D_{18}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601297
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 216, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.73', 'subgroup_hash': 73, 'subgroup_order': 216, 'subgroup_tex': 'C_6\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601299
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 216, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.45', 'subgroup_hash': 45, 'subgroup_order': 216, 'subgroup_tex': 'C_{12}\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601300
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 216, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.45', 'subgroup_hash': 45, 'subgroup_order': 216, 'subgroup_tex': 'C_{12}\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 216, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.46', 'subgroup_hash': 46, 'subgroup_order': 216, 'subgroup_tex': 'C_3\\times D_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601302
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 216, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.18', 'subgroup_hash': 18, 'subgroup_order': 216, 'subgroup_tex': 'C_3\\times C_{72}', 'supersolvable': True, 'sylow': 0}
  • id: 105601303
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 216, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.18', 'subgroup_hash': 18, 'subgroup_order': 216, 'subgroup_tex': 'C_3\\times C_{72}', 'supersolvable': True, 'sylow': 0}
  • id: 105601304
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 216, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.12', 'subgroup_hash': 12, 'subgroup_order': 216, 'subgroup_tex': 'C_9:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601305
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 216, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.12', 'subgroup_hash': 12, 'subgroup_order': 216, 'subgroup_tex': 'C_9:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 216, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.43', 'subgroup_hash': 43, 'subgroup_order': 216, 'subgroup_tex': 'C_{36}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 96, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.937', 'subgroup_hash': 937, 'subgroup_order': 192, 'subgroup_tex': '\\OD_{32}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.9.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.466', 'subgroup_hash': 466, 'subgroup_order': 192, 'subgroup_tex': '\\OD_{32}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 144, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.40', 'subgroup_hash': 40, 'subgroup_order': 144, 'subgroup_tex': 'D_{36}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601311
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 144, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.104', 'subgroup_hash': 104, 'subgroup_order': 144, 'subgroup_tex': 'C_6\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601312
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 144, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.23', 'subgroup_hash': 23, 'subgroup_order': 144, 'subgroup_tex': 'C_2\\times C_{72}', 'supersolvable': True, 'sylow': 0}
  • id: 105601313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 144, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.10', 'subgroup_hash': 10, 'subgroup_order': 144, 'subgroup_tex': 'C_9:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601314
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 144, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.5', 'subgroup_hash': 5, 'subgroup_order': 144, 'subgroup_tex': 'C_8\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601315
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 144, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.5', 'subgroup_hash': 5, 'subgroup_order': 144, 'subgroup_tex': 'C_8\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 144, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.6', 'subgroup_hash': 6, 'subgroup_order': 144, 'subgroup_tex': 'C_{72}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 144, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.6', 'subgroup_hash': 6, 'subgroup_order': 144, 'subgroup_tex': 'C_{72}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601318
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 144, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.30', 'subgroup_hash': 30, 'subgroup_order': 144, 'subgroup_tex': 'C_3\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601319
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 144, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.30', 'subgroup_hash': 30, 'subgroup_order': 144, 'subgroup_tex': 'C_3\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601321
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 144, 'counter': 60, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.2', 'subgroup_hash': 2, 'subgroup_order': 144, 'subgroup_tex': 'C_{144}', 'supersolvable': True, 'sylow': 0}
  • id: 105601322
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 144, 'counter': 61, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.12.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.2', 'subgroup_hash': 2, 'subgroup_order': 144, 'subgroup_tex': 'C_{144}', 'supersolvable': True, 'sylow': 0}
  • id: 105601323
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': True, 'centralizer_order': 96, 'characteristic': True, 'core_order': 144, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.1', 'subgroup_hash': 1, 'subgroup_order': 144, 'subgroup_tex': 'C_9:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601324
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 144, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.1', 'subgroup_hash': 1, 'subgroup_order': 144, 'subgroup_tex': 'C_9:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 72, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.161', 'subgroup_hash': 161, 'subgroup_order': 144, 'subgroup_tex': 'D_{12}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 72, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.12.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.75', 'subgroup_hash': 75, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}.C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601327
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 48, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.12.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.23', 'subgroup_hash': 23, 'subgroup_order': 144, 'subgroup_tex': 'C_2\\times C_{72}', 'supersolvable': True, 'sylow': 0}
  • id: 105601328
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 72, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.12.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.69', 'subgroup_hash': 69, 'subgroup_order': 144, 'subgroup_tex': 'S_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601329
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 72, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.12.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.69', 'subgroup_hash': 69, 'subgroup_order': 144, 'subgroup_tex': 'S_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 72, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.12.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.70', 'subgroup_hash': 70, 'subgroup_order': 144, 'subgroup_tex': 'C_{24}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 72, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.12.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.70', 'subgroup_hash': 70, 'subgroup_order': 144, 'subgroup_tex': 'C_{24}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601333
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 72, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.12.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.28', 'subgroup_hash': 28, 'subgroup_order': 144, 'subgroup_tex': 'C_3:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601334
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 72, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.12.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.28', 'subgroup_hash': 28, 'subgroup_order': 144, 'subgroup_tex': 'C_3:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601335
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 48, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.12.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.2', 'subgroup_hash': 2, 'subgroup_order': 144, 'subgroup_tex': 'C_{144}', 'supersolvable': True, 'sylow': 0}
  • id: 105601336
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 48, 'counter': 74, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.12.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.2', 'subgroup_hash': 2, 'subgroup_order': 144, 'subgroup_tex': 'C_{144}', 'supersolvable': True, 'sylow': 0}
  • id: 105601337
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 108, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '108.29', 'subgroup_hash': 29, 'subgroup_order': 108, 'subgroup_tex': 'C_6\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601338
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 108, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '108.23', 'subgroup_hash': 23, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601339
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 108, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.16.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '108.23', 'subgroup_hash': 23, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601340
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 108, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '108.12', 'subgroup_hash': 12, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601341
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 108, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '108.12', 'subgroup_hash': 12, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601343
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 108, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '108.6', 'subgroup_hash': 6, 'subgroup_order': 108, 'subgroup_tex': 'C_9:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601344
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 108, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.16.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '108.6', 'subgroup_hash': 6, 'subgroup_order': 108, 'subgroup_tex': 'C_9:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': True, 'centralizer_order': 432, 'characteristic': True, 'core_order': 96, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_9', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.60', 'subgroup_hash': 60, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 96, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.18.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.60', 'subgroup_hash': 60, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.178', 'subgroup_hash': 178, 'subgroup_order': 96, 'subgroup_tex': '\\OD_{16}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.108', 'subgroup_hash': 108, 'subgroup_order': 96, 'subgroup_tex': 'C_8.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601349
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 48, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601350
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.18', 'subgroup_hash': 18, 'subgroup_order': 96, 'subgroup_tex': 'C_6:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 32, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.60', 'subgroup_hash': 60, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601352
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 48, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601354
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 48, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.60', 'subgroup_hash': 60, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.60', 'subgroup_hash': 60, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601357
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.4', 'subgroup_hash': 4, 'subgroup_order': 96, 'subgroup_tex': 'S_3\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601358
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.4', 'subgroup_hash': 4, 'subgroup_order': 96, 'subgroup_tex': 'S_3\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.5', 'subgroup_hash': 5, 'subgroup_order': 96, 'subgroup_tex': 'C_{48}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.18.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.5', 'subgroup_hash': 5, 'subgroup_order': 96, 'subgroup_tex': 'C_{48}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 72, 'counter': 97, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.8', 'subgroup_hash': 8, 'subgroup_order': 72, 'subgroup_tex': 'C_9:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 72, 'counter': 98, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.8', 'subgroup_hash': 8, 'subgroup_order': 72, 'subgroup_tex': 'C_9:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601363
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 72, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601088
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 72, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.9', 'subgroup_hash': 9, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601089
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 72, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.5', 'subgroup_hash': 5, 'subgroup_order': 72, 'subgroup_tex': 'C_4\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601090
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 72, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.5', 'subgroup_hash': 5, 'subgroup_order': 72, 'subgroup_tex': 'C_4\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 72, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.6', 'subgroup_hash': 6, 'subgroup_order': 72, 'subgroup_tex': 'D_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601092
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 72, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601093
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 72, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601094
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 72, 'counter': 106, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.2', 'subgroup_hash': 2, 'subgroup_order': 72, 'subgroup_tex': 'C_{72}', 'supersolvable': True, 'sylow': 0}
  • id: 105601095
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 72, 'counter': 107, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.2', 'subgroup_hash': 2, 'subgroup_order': 72, 'subgroup_tex': 'C_{72}', 'supersolvable': True, 'sylow': 0}
  • id: 105601096
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 72, 'counter': 108, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.1', 'subgroup_hash': 1, 'subgroup_order': 72, 'subgroup_tex': 'C_9:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601097
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 72, 'counter': 109, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.1', 'subgroup_hash': 1, 'subgroup_order': 72, 'subgroup_tex': 'C_9:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 72, 'counter': 110, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.4', 'subgroup_hash': 4, 'subgroup_order': 72, 'subgroup_tex': 'C_9:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 36, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.24.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.30', 'subgroup_hash': 30, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 36, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.24.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.30', 'subgroup_hash': 30, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601102
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 24, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.24.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.9', 'subgroup_hash': 9, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601103
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 36, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.24.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.27', 'subgroup_hash': 27, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601104
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 36, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.24.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.n1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.27', 'subgroup_hash': 27, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 36, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.24.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.28', 'subgroup_hash': 28, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601106
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 36, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.24.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.12', 'subgroup_hash': 12, 'subgroup_order': 72, 'subgroup_tex': 'C_3:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601107
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 36, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.24.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.12', 'subgroup_hash': 12, 'subgroup_order': 72, 'subgroup_tex': 'C_3:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 36, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.24.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.26', 'subgroup_hash': 26, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601110
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 24, 'counter': 120, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.24.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.2', 'subgroup_hash': 2, 'subgroup_order': 72, 'subgroup_tex': 'C_{72}', 'supersolvable': True, 'sylow': 0}
  • id: 105601111
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 24, 'counter': 121, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.24.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.2', 'subgroup_hash': 2, 'subgroup_order': 72, 'subgroup_tex': 'C_{72}', 'supersolvable': True, 'sylow': 0}
  • id: 105601112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 32, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1728.8372.27.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.185', 'subgroup_hash': 185, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{32}:C_2', 'supersolvable': True, 'sylow': 2}
  • id: 105601113
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 54, 'counter': 123, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601114
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 27, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601115
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 27, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.3', 'subgroup_hash': 3, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 27, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.32.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.3', 'subgroup_hash': 3, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601117
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 48, 'counter': 127, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.36.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601118
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 48, 'counter': 128, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.36.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601119
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 48, 'counter': 129, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.36.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{18}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601121
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 48, 'counter': 130, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.36.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601122
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 48, 'counter': 131, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.36.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601123
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 48, 'counter': 132, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.36.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.47', 'subgroup_hash': 47, 'subgroup_order': 48, 'subgroup_tex': 'D_4:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.24', 'subgroup_hash': 24, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601128
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 16, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601130
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.24', 'subgroup_hash': 24, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.24', 'subgroup_hash': 24, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601134
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601135
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.5', 'subgroup_hash': 5, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.5', 'subgroup_hash': 5, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601138
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 146, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.36.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601139
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 147, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.36.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601140
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.1', 'subgroup_hash': 1, 'subgroup_order': 48, 'subgroup_tex': 'C_3:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601141
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.36.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.1', 'subgroup_hash': 1, 'subgroup_order': 48, 'subgroup_tex': 'C_3:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601143
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 16, 'counter': 150, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.36.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601144
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 16, 'counter': 151, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.36.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 105601145
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 36, 'counter': 152, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 105601146
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 36, 'counter': 153, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.5', 'subgroup_hash': 5, 'subgroup_order': 36, 'subgroup_tex': 'C_2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601147
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 36, 'counter': 154, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.4', 'subgroup_hash': 4, 'subgroup_order': 36, 'subgroup_tex': 'D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601148
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 36, 'counter': 155, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.48.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.4', 'subgroup_hash': 4, 'subgroup_order': 36, 'subgroup_tex': 'D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601149
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 36, 'counter': 156, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601150
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 36, 'counter': 157, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601151
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 36, 'counter': 158, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601152
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 36, 'counter': 159, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601154
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 36, 'counter': 160, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.1', 'subgroup_hash': 1, 'subgroup_order': 36, 'subgroup_tex': 'C_9:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601155
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 36, 'counter': 161, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.48.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.1', 'subgroup_hash': 1, 'subgroup_order': 36, 'subgroup_tex': 'C_9:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601156
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.48.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.5', 'subgroup_hash': 5, 'subgroup_order': 36, 'subgroup_tex': 'C_2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601157
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 18, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.48.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601158
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 18, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.48.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601159
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 18, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.48.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601160
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 18, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.48.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601161
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 12, 'counter': 167, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.48.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601162
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 168, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.48.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 105601163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': True, 'centralizer_order': 432, 'characteristic': True, 'core_order': 32, 'counter': 169, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.54.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '54.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.54.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.38', 'subgroup_hash': 38, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601166
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 16, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.54.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601167
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 16, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.54.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601168
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 16, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.54.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.54.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.54.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 105601171
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 27, 'counter': 176, 'cyclic': False, 'direct': False, 'hall': 3, 'label': '1728.8372.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.185', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 185, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{32}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 3}
  • id: 105601172
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 24, 'counter': 177, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.72.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601173
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 24, 'counter': 178, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.72.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.27', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601174
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': True, 'central_factor': False, 'centralizer_order': 1728, 'characteristic': True, 'core_order': 24, 'counter': 179, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.72.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.17', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{18}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601176
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 24, 'counter': 180, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.72.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601177
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 24, 'counter': 181, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.72.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.48', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601178
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 24, 'counter': 182, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.72.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.27', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601183
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 8, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601184
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601185
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601188
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601189
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601191
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 194, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.72.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601192
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 195, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.72.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.n1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601194
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601195
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.72.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601199
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 8, 'counter': 200, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.72.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601200
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 8, 'counter': 201, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.72.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 105601201
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 18, 'counter': 202, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.106', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 106, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601202
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 18, 'counter': 203, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.176', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 176, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601203
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 6, 'counter': 204, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601204
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 9, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.96.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601205
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 9, 'counter': 206, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.96.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601206
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 207, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.96.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 105601207
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 9, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.96.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601208
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 9, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.96.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601210
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 9, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.96.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601211
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 9, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.96.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601212
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 16, 'counter': 212, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.108.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '108.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '108.23', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601213
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 16, 'counter': 213, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.108.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '108.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '108.23', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601214
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 16, 'counter': 214, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.108.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '108.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '108.23', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.108.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.108.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601217
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.108.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601218
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.108.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.108.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.108.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601222
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 221, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.108.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601223
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 222, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.108.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 105601224
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 12, 'counter': 223, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.144.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601225
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 12, 'counter': 224, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.144.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.69', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 69, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601226
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': True, 'central_factor': False, 'centralizer_order': 1728, 'characteristic': True, 'core_order': 12, 'counter': 225, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.144.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.38', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{18}', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601227
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 12, 'counter': 226, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.144.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601228
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 12, 'counter': 227, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.144.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.159', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 159, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601229
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 12, 'counter': 228, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.144.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.69', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 69, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601230
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.144.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601232
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.144.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601233
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.144.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601234
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.144.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601235
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.144.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601236
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 234, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.144.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601237
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 235, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.144.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601238
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.144.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601239
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.144.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601240
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 4, 'counter': 238, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.144.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601241
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 239, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.144.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 105601243
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 9, 'counter': 240, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.466', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 466, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{32}:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 105601244
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 9, 'counter': 241, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.192.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.937', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 937, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{32}:C_6', 'simple': False, 'solvable': True, 'special_labels': ['L2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601245
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 3, 'counter': 242, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.192.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 105601246
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 8, 'counter': 243, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.216.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '216.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '216.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601247
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': True, 'central_factor': False, 'centralizer_order': 1728, 'characteristic': True, 'core_order': 8, 'counter': 244, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.216.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '216.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '216.108', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 108, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601248
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 8, 'counter': 245, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.216.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '216.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '216.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.216.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.216.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601251
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.216.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601252
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.216.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.216.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601255
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 251, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.216.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601256
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 252, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.216.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.216.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 105601258
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': True, 'central_factor': False, 'centralizer_order': 1728, 'characteristic': True, 'core_order': 6, 'counter': 254, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.288.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '288.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '288.110', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 110, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_{18}', 'simple': False, 'solvable': True, 'special_labels': ['C7'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601259
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 6, 'counter': 255, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.288.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '288.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '288.670', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 670, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601260
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 2, 'counter': 256, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.288.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '288.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601261
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 3, 'counter': 257, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.288.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '288.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601262
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 258, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.288.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '288.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601263
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.288.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '288.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601265
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 260, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.288.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '288.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601266
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 261, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.288.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '288.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 105601267
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.288.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601268
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.288.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601269
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 4, 'counter': 264, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1728.8372.432.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '432.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '432.105', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 105, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_9\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 105601270
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': True, 'central_factor': False, 'centralizer_order': 1728, 'characteristic': True, 'core_order': 4, 'counter': 265, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.432.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '432.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '432.342', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 342, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601271
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 4, 'counter': 266, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.432.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '432.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '432.105', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 105, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_9\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601272
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.432.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 105601273
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1728.8372.432.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 105601274
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 269, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.432.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601276
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 270, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.432.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 105601277
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': True, 'central_factor': False, 'centralizer_order': 1728, 'characteristic': True, 'core_order': 3, 'counter': 271, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1728.8372.576.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '576.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '576.469', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 469, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}.D_{18}', 'simple': True, 'solvable': True, 'special_labels': ['C8'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601278
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': True, 'core_order': 3, 'counter': 272, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.576.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '576.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '576.3886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3886, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}.C_{24}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601279
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 1, 'counter': 273, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.576.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '576.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 576, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 105601280
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': True, 'central_factor': False, 'centralizer_order': 1728, 'characteristic': True, 'core_order': 2, 'counter': 274, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1728.8372.864.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '864.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '864.1453', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1453, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 864, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}\\times D_{18}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601281
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 864, 'characteristic': False, 'core_order': 1, 'counter': 275, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.864.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '864.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601282
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 276, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.864.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '864.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601283
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 277, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1728.8372.864.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '864.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 105601284
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1728.8372', 'ambient_counter': 8372, 'ambient_order': 1728, 'ambient_tex': 'C_{48}.D_{18}', 'central': True, 'central_factor': False, 'centralizer_order': 1728, 'characteristic': True, 'core_order': 1, 'counter': 278, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1728.8372.1728.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1728.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1728.8372', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8372, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1728, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}.D_{18}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C9'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 105601086
    {'ambient': '1728.8372', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '72.c1.a1', 'complements': ['1728.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.d1.b1', '2.e1.a1', '2.e1.b1', '3.a1.a1', '3.b1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7179, 7380, 6393, 2648, 6371, 6835, 4063, 3318], 'generators': [1, 12, 216, 432, 18, 576, 16, 864, 108], 'label': '1728.8372.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.b1', '2.d1.a1', '2.e1.b1', '2.e1.a1', '3.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601087
    {'ambient': '1728.8372', 'aut_centralizer_order': 3, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '768.1076129', 'aut_weyl_index': 9, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.b1.a1', '6.g1.a1', '6.h1.a1', '6.j1.a1', '6.j1.b1', '6.k1.a1', '6.k1.b1', '9.a1.a1', '9.b1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8297, -1, 8025, -1, 7902, -1, 2367, -1], 'generators': [1, 216, 432, 18, 576, 12, 864, 108], 'label': '1728.8372.3.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '3.b1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601088
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '24.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 288, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.c1.a1', '12.d1.a1'], 'contains': ['48.b1.a1', '48.f1.a1', '48.g1.a1', '72.b1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2214, 3808, 2547, 6108, 2382, 3707, 7383, 6023], 'generators': [18, 12, 432, 28, 864], 'label': '1728.8372.24.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.c1.a1', '12.d1.a1'], 'normal_contains': ['48.b1.a1', '48.f1.a1', '48.g1.a1', '72.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '432.342', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601089
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '24.d1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '216.111', 'aut_weyl_index': 32, 'centralizer': '36.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1', '12.e1.a1', '12.f1.a1'], 'contains': ['48.c1.a1', '48.f1.a1', '48.h1.a1', '72.l1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2656, 2081, 2876, 6596, 2584, 3231, 7676, 6381], 'generators': [1, 12, 432, 864, 16], 'label': '1728.8372.24.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': ['8.c1.a1', '12.a1.a1', '12.e1.a1', '12.f1.a1'], 'normal_contains': ['48.c1.a1', '48.f1.a1', '48.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601090
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '24.d1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '216.111', 'aut_weyl_index': 32, 'centralizer': '36.c1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '12.a1.a1', '12.e1.b1', '12.f1.b1'], 'contains': ['48.c1.b1', '48.f1.a1', '48.h1.b1', '72.l1.b1'], 'core': '24.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2656, 2081, 2140, 7707, 2584, 3231, 7536, 6708], 'generators': [27, 12, 432, 864, 16], 'label': '1728.8372.24.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': ['8.c1.b1', '12.a1.a1', '12.e1.b1', '12.f1.b1'], 'normal_contains': ['48.c1.b1', '48.f1.a1', '48.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.b1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601091
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '24.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '432.362', 'aut_weyl_index': 16, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.a1.a1'], 'contains': ['48.c1.a1', '48.c1.b1', '48.g1.a1', '72.m1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1409, 2742, 1290, 8099, 964, 1406, 9432, 7368], 'generators': [1, 12, 450, 864, 16], 'label': '1728.8372.24.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1.a1', 'normal_contained_in': ['8.d1.a1', '12.a1.a1'], 'normal_contains': ['48.c1.b1', '48.c1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601092
    {'ambient': '1728.8372', 'aut_centralizer_order': 432, 'aut_label': '24.f1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.b1.a1', '12.g1.a1', '12.g1.b1', '12.n1.a1', '12.n1.b1', '12.p1.a1', '12.q1.a1'], 'contains': ['48.d1.a1', '72.c1.a1', '72.e1.a1', '72.r1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7017, 7369, 6909, 2237, 6911, 7149, 3350, 2809], 'generators': [216, 864, 12, 576, 432], 'label': '1728.8372.24.f1.a1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.f1.a1', 'normal_contained_in': ['8.e1.a1', '12.b1.a1', '12.g1.b1', '12.g1.a1'], 'normal_contains': ['48.d1.a1', '72.c1.a1', '72.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.a1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601093
    {'ambient': '1728.8372', 'aut_centralizer_order': 432, 'aut_label': '24.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.b1.a1', '12.o1.a1', '12.o1.b1'], 'contains': ['48.d1.a1', '72.d1.a1', '72.f1.a1', '72.s1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5304, 6426, 6027, 3133, 5350, 5834, 4501, 4111], 'generators': [234, 864, 12, 576, 432], 'label': '1728.8372.24.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.g1.a1', 'normal_contained_in': ['8.f1.a1', '12.b1.a1'], 'normal_contains': ['48.d1.a1', '72.d1.a1', '72.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.g1.a1', 'projective_image': '144.38', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601094
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '24.h1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 288, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.c1.a1', '12.e1.a1', '12.e1.b1', '12.h1.a1', '12.h1.b1', '12.i1.a1', '12.j1.a1'], 'contains': ['48.f1.a1', '72.e1.a1'], 'core': '24.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5694, 5988, 4574, 3459, 5939, 6233, 4145, 3499], 'generators': [216, 864, 28, 432, 12], 'label': '1728.8372.24.h1.a1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.h1.a1', 'normal_contained_in': ['8.e1.a1', '12.c1.a1', '12.e1.b1', '12.e1.a1', '12.h1.b1', '12.h1.a1', '12.i1.a1', '12.j1.a1'], 'normal_contains': ['48.f1.a1', '72.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.a1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601095
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '24.i1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 288, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.c1.a1', '12.f1.a1', '12.f1.b1'], 'contains': ['48.f1.a1', '72.f1.a1'], 'core': '24.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3861, 5674, 4104, 4600, 4131, 5434, 5941, 4501], 'generators': [234, 864, 28, 432, 12], 'label': '1728.8372.24.i1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.i1.a1', 'normal_contained_in': ['8.f1.a1', '12.c1.a1', '12.f1.b1', '12.f1.a1'], 'normal_contains': ['48.f1.a1', '72.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.i1.a1', 'projective_image': '432.342', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601096
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '24.j1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '216.111', 'aut_weyl_index': 32, 'centralizer': '36.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.d1.a1', '12.e1.a1', '12.f1.b1'], 'contains': ['48.f1.a1', '72.p1.a1'], 'core': '24.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3512, 4612, 3800, 4866, 4009, 4629, 6033, 5108], 'generators': [217, 12, 432, 864, 16], 'label': '1728.8372.24.j1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.j1.a1', 'normal_contained_in': ['8.g1.a1', '12.d1.a1', '12.e1.a1', '12.f1.b1'], 'normal_contains': ['48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.j1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601097
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '24.j1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '216.111', 'aut_weyl_index': 32, 'centralizer': '36.c1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1.b1', '12.d1.a1', '12.e1.b1', '12.f1.a1'], 'contains': ['48.f1.a1', '72.p1.b1'], 'core': '24.j1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3512, 4612, 3705, 5258, 4009, 4629, 6127, 5327], 'generators': [1107, 12, 1296, 864, 16], 'label': '1728.8372.24.j1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.j1.b1', 'normal_contained_in': ['8.g1.b1', '12.d1.a1', '12.e1.b1', '12.f1.a1'], 'normal_contains': ['48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.j1.b1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601098
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1728.30979', 'aut_weyl_index': 4, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.a1.b1', '8.b1.a1', '8.c1.a1', '8.c1.b1', '8.d1.a1', '8.h1.a1', '12.a1.a1', '12.k1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2406, 2154, 2381, 7870, 2260, 1735, 7858, 8235], 'generators': [1, 16, 864, 18, 12, 432, 576], 'label': '1728.8372.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.b1', '8.a1.a1', '8.b1.a1', '8.c1.b1', '8.c1.a1', '8.d1.a1', '8.h1.a1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601099
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '24.k1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '432.362', 'aut_weyl_index': 16, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.a1.a1'], 'contains': ['48.g1.a1', '48.h1.a1', '48.h1.b1', '72.q1.a1'], 'core': '24.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1694, 1681, 1713, 7173, 1533, 293, 8641, 9870], 'generators': [433, 12, 450, 864, 16], 'label': '1728.8372.24.k1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.k1.a1', 'normal_contained_in': ['8.h1.a1', '12.a1.a1'], 'normal_contains': ['48.g1.a1', '48.h1.a1', '48.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.k1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601100
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.k1.a1'], 'contains': ['48.a1.a1', '48.j1.a1', '48.k1.b1', '72.g1.a1', '72.h1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1877, -1, 1849, -1, 1709, -1, 8002, -1], 'generators': [1, 12, 18, 576, 864], 'label': '1728.8372.24.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.l1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601101
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '12.k1.a1'], 'contains': ['48.a1.a1', '48.j1.b1', '48.k1.a1', '72.g1.b1', '72.h1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1877, -1, 2719, -1, 1709, -1, 8173, -1], 'generators': [433, 12, 18, 576, 864], 'label': '1728.8372.24.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.l1.b1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601102
    {'ambient': '1728.8372', 'aut_centralizer_order': 144, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 288, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.m1.a1'], 'contains': ['48.i1.a1', '48.l1.a1', '48.m1.a1', '72.b1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2866, -1, 3032, -1, 2787, -1, 7216, -1], 'generators': [18, 12, 432, 604, 864], 'label': '1728.8372.24.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.m1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601103
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.k1.a1', '12.n1.a1', '12.o1.a1'], 'contains': ['48.d1.a1', '48.j1.a1', '48.k1.a1', '72.j1.a1', '72.l1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4318, -1, 4234, -1, 3610, -1, 6761, -1], 'generators': [1, 12, 432, 576, 864], 'label': '1728.8372.24.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.n1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601104
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '12.k1.a1', '12.n1.b1', '12.o1.b1'], 'contains': ['48.d1.a1', '48.j1.b1', '48.k1.b1', '72.j1.b1', '72.l1.b1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4318, -1, 3533, -1, 3610, -1, 6595, -1], 'generators': [27, 12, 432, 576, 864], 'label': '1728.8372.24.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.n1.b1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601105
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.209', 'aut_weyl_index': 72, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.k1.a1'], 'contains': ['48.e1.a1', '48.j1.a1', '48.j1.b1', '72.k1.a1', '72.m1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2444, -1, 2298, -1, 1934, -1, 8343, -1], 'generators': [1, 12, 450, 576, 864], 'label': '1728.8372.24.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.o1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601106
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.l1.a1', '12.n1.a1', '12.o1.b1'], 'contains': ['48.d1.a1', '72.n1.a1', '72.p1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4990, -1, 5065, -1, 4664, -1, 5246, -1], 'generators': [217, 12, 576, 432, 864], 'label': '1728.8372.24.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.p1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601107
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.b1', '12.l1.a1', '12.n1.b1', '12.o1.a1'], 'contains': ['48.d1.a1', '72.n1.b1', '72.p1.b1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4990, -1, 4706, -1, 4664, -1, 5538, -1], 'generators': [1107, 12, 576, 1296, 864], 'label': '1728.8372.24.p1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.p1.b1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601108
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.209', 'aut_weyl_index': 72, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.k1.a1'], 'contains': ['48.e1.a1', '48.k1.a1', '48.k1.b1', '72.o1.a1', '72.q1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3096, -1, 3322, -1, 2158, -1, 7831, -1], 'generators': [433, 12, 450, 576, 864], 'label': '1728.8372.24.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.q1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601109
    {'ambient': '1728.8372', 'aut_centralizer_order': 72, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '96.231', 'aut_weyl_index': 72, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.b1.a1', '8.e1.a1', '8.f1.a1', '12.b1.a1', '12.c1.a1', '12.m1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4933, 5525, 5089, 4344, 4706, 4978, 5208, 4895], 'generators': [18, 12, 432, 216, 864, 28, 576], 'label': '1728.8372.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.b1.a1', '8.e1.a1', '8.f1.a1', '12.b1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '72.17', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601110
    {'ambient': '1728.8372', 'aut_centralizer_order': 144, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 288, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.m1.a1', '12.r1.a1', '12.r1.b1'], 'contains': ['48.l1.a1', '72.e1.a1'], 'core': '72.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4760, -1, 5197, -1, 5820, -1, 4055, -1], 'generators': [216, 864, 604, 432, 12], 'label': '1728.8372.24.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.r1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601111
    {'ambient': '1728.8372', 'aut_centralizer_order': 144, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 288, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.m1.a1'], 'contains': ['48.l1.a1', '72.f1.a1'], 'core': '72.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3672, -1, 4442, -1, 4250, -1, 5851, -1], 'generators': [234, 864, 604, 432, 12], 'label': '1728.8372.24.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.s1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601112
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '27.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '64.196', 'aut_weyl_index': 108, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '9.b1.a1'], 'contains': ['54.a1.a1', '54.b1.a1', '54.c1.a1', '54.d1.a1', '54.d1.b1', '54.e1.a1', '54.e1.b1'], 'core': '54.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9632, -1, 9266, -1, 9175, -1, 970, -1], 'generators': [1, 18, 108], 'label': '1728.8372.27.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '27.a1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601113
    {'ambient': '1728.8372', 'aut_centralizer_order': 576, 'aut_label': '32.a1', 'aut_quo_index': 48, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 576, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '16.c1.a1', '16.d1.a1', '16.e1.a1', '16.e1.b1'], 'contains': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [683, 765, 782, 8621, 1065, 2550, 9131, 7996], 'generators': [864, 28, 576, 12], 'label': '1728.8372.32.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.b1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.e1.a1', '16.e1.b1'], 'normal_contains': ['64.a1.a1', '96.a1.a1', '96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '288.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601114
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 576, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1'], 'contains': ['64.a1.a1', '96.d1.a1', '96.e1.a1', '96.f1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [294, -1, 218, -1, 98, -1, 9555, -1], 'generators': [18, 28, 576, 12], 'label': '1728.8372.32.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.b1.a1', 'projective_image': '576.469', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601115
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '108.26', 'aut_weyl_index': 64, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1'], 'contains': ['64.a1.a1', '96.g1.a1', '96.h1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [84, -1, 62, -1, 301, -1, 9799, -1], 'generators': [1, 576, 16, 12], 'label': '1728.8372.32.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '32.c1.a1', 'projective_image': '576.469', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 105601116
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '108.26', 'aut_weyl_index': 64, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1'], 'contains': ['64.a1.a1', '96.g1.b1', '96.h1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [84, -1, 373, -1, 301, -1, 9939, -1], 'generators': [1323, 576, 16, 12], 'label': '1728.8372.32.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '32.c1.b1', 'projective_image': '576.469', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.b1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 105601117
    {'ambient': '1728.8372', 'aut_centralizer_order': 432, 'aut_label': '36.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '18.a1.a1', '18.c1.a1', '18.e1.a1'], 'contains': ['72.a1.a1', '72.c1.a1', '72.d1.a1', '108.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7627, 7966, 7539, 2040, 7131, 7666, 2850, 2419], 'generators': [18, 864, 216, 576, 432], 'label': '1728.8372.36.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.a1.a1', 'normal_contained_in': ['12.b1.a1', '18.a1.a1'], 'normal_contains': ['72.a1.a1', '72.c1.a1', '72.d1.a1', '108.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.a1.a1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.1', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601118
    {'ambient': '1728.8372', 'aut_centralizer_order': 432, 'aut_label': '36.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '12.c1.a1', '12.m1.a1', '18.b1.a1', '18.d1.a1', '18.f1.a1'], 'contains': ['72.b1.a1', '72.e1.a1', '72.f1.a1', '108.a1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5978, 6820, 5881, 2805, 6110, 6632, 3650, 3198], 'generators': [18, 864, 216, 12, 432], 'label': '1728.8372.36.b1.a1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.b1.a1', 'normal_contained_in': ['12.b1.a1', '12.c1.a1', '18.b1.a1'], 'normal_contains': ['72.b1.a1', '72.e1.a1', '72.f1.a1', '108.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.b1.a1', 'projective_image': '216.108', 'quotient_action_image': '4.2', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '36.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601119
    {'ambient': '1728.8372', 'aut_centralizer_order': 216, 'aut_label': '36.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '18.a1.a1', '18.h1.a1', '18.i1.b1'], 'contains': ['72.c1.a1', '108.b1.a1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8412, 9167, 8914, 604, 8576, 8873, 1246, 1002], 'generators': [108, 864, 576, 216, 432], 'label': '1728.8372.36.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.c1.a1', 'normal_contained_in': ['12.g1.a1', '18.a1.a1'], 'normal_contains': ['72.c1.a1', '108.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.c1.a1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.1', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601120
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1728.30979', 'aut_weyl_index': 4, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.g1.a1', '8.g1.b1', '12.d1.a1', '12.l1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3166, 3417, 3600, 6331, 3312, 2800, 6856, 6928], 'generators': [217, 16, 864, 18, 12, 576, 432], 'label': '1728.8372.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '8.g1.b1', '8.g1.a1', '12.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601121
    {'ambient': '1728.8372', 'aut_centralizer_order': 216, 'aut_label': '36.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '2.d1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.g1.b1', '18.a1.a1', '18.h1.b1', '18.i1.a1'], 'contains': ['72.c1.a1', '108.b1.b1'], 'core': '36.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8412, 9167, 8509, 1021, 8576, 8873, 1156, 1688], 'generators': [990, 864, 576, 1080, 432], 'label': '1728.8372.36.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.c1.b1', 'normal_contained_in': ['12.g1.b1', '18.a1.a1'], 'normal_contains': ['72.c1.a1', '108.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '36.c1.b1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.1', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601122
    {'ambient': '1728.8372', 'aut_centralizer_order': 216, 'aut_label': '36.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '12.h1.a1', '12.r1.a1', '18.b1.a1', '18.j1.a1', '18.k1.b1'], 'contains': ['72.e1.a1', '108.b1.a1'], 'core': '36.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6991, 8415, 8082, 1289, 7522, 8122, 2311, 1898], 'generators': [108, 864, 12, 216, 432], 'label': '1728.8372.36.d1.a1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.d1.a1', 'normal_contained_in': ['12.g1.a1', '12.h1.a1', '18.b1.a1'], 'normal_contains': ['72.e1.a1', '108.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.d1.a1', 'projective_image': '216.108', 'quotient_action_image': '4.2', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '36.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601123
    {'ambient': '1728.8372', 'aut_centralizer_order': 216, 'aut_label': '36.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '4.f1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.g1.b1', '12.h1.b1', '12.r1.b1', '18.b1.a1', '18.j1.b1', '18.k1.a1'], 'contains': ['72.e1.a1', '108.b1.b1'], 'core': '36.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6991, 8415, 7407, 1584, 7522, 8122, 2221, 2109], 'generators': [990, 864, 12, 1080, 432], 'label': '1728.8372.36.d1.b1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.d1.b1', 'normal_contained_in': ['12.g1.b1', '12.h1.b1', '18.b1.a1'], 'normal_contains': ['72.e1.a1', '108.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '36.d1.b1', 'projective_image': '216.108', 'quotient_action_image': '4.2', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '36.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601124
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '32.46', 'aut_weyl_index': 216, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.a1', '18.c1.a1'], 'contains': ['72.a1.a1', '72.g1.a1', '72.g1.b1', '72.j1.a1', '72.j1.b1', '72.k1.a1', '72.o1.a1', '108.c1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5170, -1, 4123, -1, 3833, -1, 6427, -1], 'generators': [1, 864, 18, 432, 576], 'label': '1728.8372.36.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.e1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601125
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.209', 'aut_weyl_index': 72, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '12.k1.a1', '18.d1.a1'], 'contains': ['72.b1.a1', '72.h1.a1', '72.h1.b1', '72.l1.a1', '72.l1.b1', '72.m1.a1', '72.q1.a1', '108.c1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3755, -1, 3302, -1, 2978, -1, 7072, -1], 'generators': [1, 12, 18, 432, 864], 'label': '1728.8372.36.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.f1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601126
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '32.46', 'aut_weyl_index': 216, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.a1', '18.c1.a1'], 'contains': ['72.a1.a1', '72.n1.a1', '72.n1.b1', '108.d1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5495, -1, 6082, -1, 5088, -1, 4925, -1], 'generators': [217, 864, 18, 576, 432], 'label': '1728.8372.36.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.g1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601127
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.209', 'aut_weyl_index': 72, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '12.l1.a1', '18.d1.a1'], 'contains': ['72.b1.a1', '72.p1.a1', '72.p1.b1', '108.d1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4282, -1, 4894, -1, 4430, -1, 5715, -1], 'generators': [217, 12, 18, 432, 864], 'label': '1728.8372.36.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.h1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.h1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601128
    {'ambient': '1728.8372', 'aut_centralizer_order': 216, 'aut_label': '36.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '18.g1.a1'], 'contains': ['72.i1.a1', '72.r1.a1', '72.s1.a1', '108.a1.a1'], 'core': '108.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6572, -1, 7708, -1, 6513, -1, 2683, -1], 'generators': [18, 864, 216, 588, 432], 'label': '1728.8372.36.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '36.i1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601129
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.j1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.a1', '18.c1.a1', '18.h1.a1', '18.i1.a1'], 'contains': ['72.c1.a1', '72.j1.a1', '72.n1.a1', '108.e1.a1'], 'core': '72.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7855, -1, 6942, -1, 7352, -1, 3017, -1], 'generators': [1, 864, 216, 576, 432], 'label': '1728.8372.36.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.j1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601130
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.j1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.b1', '18.c1.a1', '18.h1.b1', '18.i1.b1'], 'contains': ['72.c1.a1', '72.j1.b1', '72.n1.b1', '108.e1.b1'], 'core': '72.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7855, -1, 7111, -1, 7352, -1, 3183, -1], 'generators': [27, 864, 216, 576, 432], 'label': '1728.8372.36.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.j1.b1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601131
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '864.4047', 'aut_weyl_index': 8, 'centralizer': '36.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.c1.a1', '8.e1.a1', '8.g1.a1', '12.e1.a1', '12.n1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5678, 4953, 4868, 4768, 4927, 4458, 5376, 5287], 'generators': [1, 16, 864, 216, 12, 576, 432], 'label': '1728.8372.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.c1.a1', '8.e1.a1', '8.g1.a1', '12.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601132
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.k1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1.a1', '18.c1.a1'], 'contains': ['72.d1.a1', '72.j1.a1', '72.n1.b1', '108.f1.a1'], 'core': '72.d1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6248, -1, 6313, -1, 5611, -1, 4698, -1], 'generators': [1, 864, 234, 576, 432], 'label': '1728.8372.36.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.k1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.k1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601133
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.k1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1.b1', '18.c1.a1'], 'contains': ['72.d1.a1', '72.j1.b1', '72.n1.a1', '108.f1.b1'], 'core': '72.d1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6248, -1, 6544, -1, 5611, -1, 4304, -1], 'generators': [217, 864, 234, 576, 432], 'label': '1728.8372.36.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.k1.b1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.k1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601134
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '12.n1.a1', '18.d1.a1', '18.j1.a1', '18.k1.a1'], 'contains': ['72.e1.a1', '72.l1.a1', '72.p1.a1', '108.e1.a1'], 'core': '72.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6781, -1, 5686, -1, 6311, -1, 3803, -1], 'generators': [1, 12, 216, 432, 864], 'label': '1728.8372.36.l1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.l1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.l1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601135
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.b1', '12.n1.b1', '18.d1.a1', '18.j1.b1', '18.k1.b1'], 'contains': ['72.e1.a1', '72.l1.b1', '72.p1.b1', '108.e1.b1'], 'core': '72.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6781, -1, 5505, -1, 6311, -1, 3941, -1], 'generators': [27, 12, 216, 432, 864], 'label': '1728.8372.36.l1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.l1.b1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.l1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601136
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '12.o1.a1', '18.d1.a1'], 'contains': ['72.f1.a1', '72.l1.a1', '72.p1.b1', '108.f1.a1'], 'core': '72.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4970, -1, 5049, -1, 4857, -1, 5392, -1], 'generators': [1, 12, 234, 432, 864], 'label': '1728.8372.36.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.m1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.m1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601137
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '36.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.b1', '12.o1.b1', '18.d1.a1'], 'contains': ['72.f1.a1', '72.l1.b1', '72.p1.a1', '108.f1.b1'], 'core': '72.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4970, -1, 5253, -1, 4857, -1, 5100, -1], 'generators': [217, 12, 234, 432, 864], 'label': '1728.8372.36.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.m1.b1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.m1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601138
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '36.n1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '9.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.p1.a1', '18.e1.a1', '18.h1.a1', '18.h1.b1'], 'contains': ['72.c1.a1', '108.g1.a1'], 'core': '72.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8554, -1, 8724, -1, 9036, -1, 2131, -1], 'generators': [109, 864, 576, 216, 432], 'label': '1728.8372.36.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.n1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.n1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601139
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '36.o1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '18.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.q1.a1', '18.e1.a1', '18.i1.a1', '18.i1.b1'], 'contains': ['72.c1.a1', '108.h1.a1'], 'core': '72.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9419, -1, 8293, -1, 8917, -1, 1438, -1], 'generators': [135, 864, 576, 216, 432], 'label': '1728.8372.36.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.o1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.o1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601140
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '36.p1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.35', 'aut_weyl_index': 144, 'centralizer': '18.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.a1', '12.p1.a1', '18.f1.a1', '18.j1.a1', '18.j1.b1'], 'contains': ['72.e1.a1', '108.g1.a1'], 'core': '72.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8053, -1, 7934, -1, 7824, -1, 2539, -1], 'generators': [109, 12, 216, 432, 864], 'label': '1728.8372.36.p1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.p1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.p1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 105601141
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '36.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.35', 'aut_weyl_index': 144, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1.a1', '12.q1.a1', '18.f1.a1', '18.k1.a1', '18.k1.b1'], 'contains': ['72.e1.a1', '108.h1.a1'], 'core': '72.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8971, -1, 7299, -1, 7663, -1, 2418, -1], 'generators': [135, 12, 216, 432, 864], 'label': '1728.8372.36.q1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.q1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.q1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601142
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '864.4047', 'aut_weyl_index': 8, 'centralizer': '36.c1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.b1', '2.e1.b1'], 'contains': ['8.c1.b1', '8.e1.a1', '8.g1.b1', '12.e1.b1', '12.n1.b1'], 'core': '4.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5678, 4953, 4696, 5289, 4927, 4458, 5543, 5965], 'generators': [27, 16, 864, 216, 12, 576, 432], 'label': '1728.8372.4.d1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.b1', 'normal_contained_in': ['2.a1.a1', '2.d1.b1', '2.e1.b1'], 'normal_contains': ['8.c1.b1', '8.e1.a1', '8.g1.b1', '12.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.b1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601143
    {'ambient': '1728.8372', 'aut_centralizer_order': 108, 'aut_label': '36.r1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '18.g1.a1'], 'contains': ['72.r1.a1', '108.b1.a1'], 'core': '108.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7326, -1, 9766, -1, 8100, -1, 1066, -1], 'generators': [108, 864, 588, 216, 432], 'label': '1728.8372.36.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '36.r1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.r1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601144
    {'ambient': '1728.8372', 'aut_centralizer_order': 108, 'aut_label': '36.r1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '4.f1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.b1', '18.g1.a1'], 'contains': ['72.r1.a1', '108.b1.b1'], 'core': '108.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7326, -1, 9045, -1, 8100, -1, 874, -1], 'generators': [990, 864, 588, 1080, 432], 'label': '1728.8372.36.r1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '36.r1.b1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.r1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601145
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.b1.a1', '24.l1.a1', '24.l1.b1'], 'contains': ['96.a1.a1', '96.d1.a1', '144.a1.a1', '144.b1.a1', '144.g1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1847, 3495, 1848, 5871, 1475, 3973, 8006, 6087], 'generators': [18, 864, 12, 576], 'label': '1728.8372.48.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.b1.a1'], 'normal_contains': ['96.a1.a1', '144.a1.a1', '144.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '288.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601146
    {'ambient': '1728.8372', 'aut_centralizer_order': 576, 'aut_label': '48.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 576, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.a1.b1', '24.c1.a1'], 'contains': ['96.b1.a1', '96.e1.a1', '144.b1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [677, 2116, 679, 7038, 504, 3067, 9297, 7394], 'generators': [18, 864, 28, 12], 'label': '1728.8372.48.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.b1', '24.a1.a1', '24.c1.a1'], 'normal_contains': ['96.b1.a1', '144.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '864.1453', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601147
    {'ambient': '1728.8372', 'aut_centralizer_order': 32, 'aut_label': '48.c1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '108.26', 'aut_weyl_index': 64, 'centralizer': '36.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.d1.a1', '24.e1.a1'], 'contains': ['96.b1.a1', '96.h1.a1', '144.i1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [853, 1621, 547, 8738, 895, 1764, 9426, 7093], 'generators': [1, 864, 16, 12], 'label': '1728.8372.48.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1', '24.d1.a1', '24.e1.a1'], 'normal_contains': ['96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601266
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '288.g1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.g1.b1', '144.h1.b1'], 'contains': ['576.a1.a1', '864.c1.b1'], 'core': '576.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [1604, -1, 1033, -1, 1853, -1, 8133, -1], 'generators': [1323, 576], 'label': '1728.8372.288.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.h1.b1', 'old_label': '288.g1.b1', 'projective_image': '576.469', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.g1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601148
    {'ambient': '1728.8372', 'aut_centralizer_order': 32, 'aut_label': '48.c1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '108.26', 'aut_weyl_index': 64, 'centralizer': '36.c1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '24.a1.b1', '24.d1.b1', '24.e1.a1'], 'contains': ['96.b1.a1', '96.h1.b1', '144.i1.b1'], 'core': '48.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [853, 1621, 910, 7934, 895, 1764, 9684, 7695], 'generators': [1323, 864, 16, 12], 'label': '1728.8372.48.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1.b1', 'normal_contained_in': ['16.b1.b1', '24.a1.b1', '24.d1.b1', '24.e1.a1'], 'normal_contains': ['96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.b1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601149
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '48.d1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.b1.a1', '24.f1.a1', '24.g1.a1', '24.n1.a1', '24.n1.b1', '24.p1.a1', '24.p1.b1'], 'contains': ['96.a1.a1', '144.c1.a1', '144.e1.a1', '144.l1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4501, 5507, 4556, 4275, 4308, 5158, 5904, 4802], 'generators': [432, 12, 576, 864], 'label': '1728.8372.48.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.d1.a1', 'normal_contained_in': ['16.c1.a1', '24.b1.a1', '24.f1.a1', '24.g1.a1'], 'normal_contains': ['96.a1.a1', '144.c1.a1', '144.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.d1.a1', 'projective_image': '144.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601150
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '48.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.b1.a1', '24.o1.a1', '24.q1.a1'], 'contains': ['96.a1.a1', '144.d1.a1', '144.f1.a1', '144.m1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2656, 3922, 3304, 5289, 2189, 3583, 7350, 5793], 'generators': [450, 12, 576, 864], 'label': '1728.8372.48.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1.a1', 'normal_contained_in': ['16.d1.a1', '24.b1.a1'], 'normal_contains': ['96.a1.a1', '144.d1.a1', '144.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.e1.a1', 'projective_image': '288.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601151
    {'ambient': '1728.8372', 'aut_centralizer_order': 576, 'aut_label': '48.f1', 'aut_quo_index': 48, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 576, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.c1.a1', '24.d1.a1', '24.d1.b1', '24.h1.a1', '24.i1.a1', '24.j1.a1', '24.j1.b1'], 'contains': ['96.b1.a1', '144.e1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3228, 4493, 2784, 5651, 3268, 4242, 6661, 5492], 'generators': [432, 28, 864, 12], 'label': '1728.8372.48.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.f1.a1', 'normal_contained_in': ['16.c1.a1', '24.c1.a1', '24.d1.b1', '24.d1.a1', '24.h1.a1', '24.i1.a1', '24.j1.b1', '24.j1.a1'], 'normal_contains': ['96.b1.a1', '144.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.f1.a1', 'projective_image': '432.342', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601152
    {'ambient': '1728.8372', 'aut_centralizer_order': 576, 'aut_label': '48.g1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 576, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.c1.a1', '24.e1.a1', '24.k1.a1'], 'contains': ['96.b1.a1', '144.f1.a1'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1496, 2777, 1403, 6369, 1236, 2151, 8646, 6881], 'generators': [450, 28, 864, 12], 'label': '1728.8372.48.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.g1.a1', 'normal_contained_in': ['16.d1.a1', '24.c1.a1', '24.e1.a1', '24.k1.a1'], 'normal_contains': ['96.b1.a1', '144.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.g1.a1', 'projective_image': '864.1453', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601153
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '864.4047', 'aut_weyl_index': 8, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.f1.a1', '8.g1.b1', '12.f1.a1', '12.o1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4618, 4198, 3850, 6909, 3656, 3510, 6608, 7464], 'generators': [1, 16, 864, 234, 12, 576, 432], 'label': '1728.8372.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.a1', '8.f1.a1', '8.g1.b1', '12.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601154
    {'ambient': '1728.8372', 'aut_centralizer_order': 32, 'aut_label': '48.h1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '108.26', 'aut_weyl_index': 64, 'centralizer': '36.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.a1.b1', '24.d1.a1', '24.k1.a1'], 'contains': ['96.b1.a1', '144.k1.a1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1370, 1304, 2018, 7448, 1358, 1117, 9000, 8522], 'generators': [433, 864, 16, 12], 'label': '1728.8372.48.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.h1.a1', 'normal_contained_in': ['16.e1.a1', '24.a1.b1', '24.d1.a1', '24.k1.a1'], 'normal_contains': ['96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.h1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601155
    {'ambient': '1728.8372', 'aut_centralizer_order': 32, 'aut_label': '48.h1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '108.26', 'aut_weyl_index': 64, 'centralizer': '36.c1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.b1', '24.a1.a1', '24.d1.b1', '24.k1.a1'], 'contains': ['96.b1.a1', '144.k1.b1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1370, 1304, 1303, 8972, 1358, 1117, 8738, 8302], 'generators': [27, 864, 16, 12], 'label': '1728.8372.48.h1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.h1.b1', 'normal_contained_in': ['16.e1.b1', '24.a1.a1', '24.d1.b1', '24.k1.a1'], 'normal_contains': ['96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.h1.b1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601156
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 576, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.m1.a1'], 'contains': ['96.c1.a1', '96.f1.a1', '144.b1.a1'], 'core': '144.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1085, -1, 1041, -1, 724, -1, 8869, -1], 'generators': [18, 864, 604, 12], 'label': '1728.8372.48.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.i1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601157
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.l1.a1', '24.n1.a1', '24.o1.a1'], 'contains': ['96.a1.a1', '96.g1.a1', '144.h1.a1', '144.i1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2000, -1, 1520, -1, 1623, -1, 8303, -1], 'generators': [1, 864, 576, 12], 'label': '1728.8372.48.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '48.j1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601158
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '24.l1.b1', '24.n1.b1', '24.o1.a1'], 'contains': ['96.a1.a1', '96.g1.b1', '144.h1.b1', '144.i1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2000, -1, 1733, -1, 1623, -1, 8532, -1], 'generators': [1323, 864, 576, 12], 'label': '1728.8372.48.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '48.j1.b1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601159
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.l1.b1', '24.n1.a1', '24.q1.a1'], 'contains': ['96.a1.a1', '144.j1.a1', '144.k1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2371, -1, 3673, -1, 2413, -1, 7784, -1], 'generators': [433, 576, 864, 12], 'label': '1728.8372.48.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '48.k1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601160
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.b1', '24.l1.a1', '24.n1.b1', '24.q1.a1'], 'contains': ['96.a1.a1', '144.j1.b1', '144.k1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2371, -1, 2572, -1, 2413, -1, 7613, -1], 'generators': [27, 576, 864, 12], 'label': '1728.8372.48.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '48.k1.b1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601161
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 576, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.m1.a1', '24.r1.a1', '24.s1.a1'], 'contains': ['96.c1.a1', '144.e1.a1'], 'core': '144.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3404, -1, 2915, -1, 3609, -1, 6571, -1], 'generators': [432, 604, 864, 12], 'label': '1728.8372.48.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.l1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601162
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 576, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.m1.a1'], 'contains': ['96.c1.a1', '144.f1.a1'], 'core': '144.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1728, -1, 2322, -1, 1774, -1, 8417, -1], 'generators': [450, 604, 864, 12], 'label': '1728.8372.48.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.m1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601163
    {'ambient': '1728.8372', 'aut_centralizer_order': 216, 'aut_label': '54.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.48', 'aut_weyl_index': 216, 'centralizer': '4.g1.a1', 'complements': ['32.c1.a1', '32.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '18.b1.a1', '18.g1.a1', '27.a1.a1'], 'contains': ['108.a1.a1', '108.b1.a1', '108.b1.b1'], 'core': '54.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7634, 8888, 9327, 799, 7973, 8420, 970, 1464], 'generators': [18, 108], 'label': '1728.8372.54.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '54.a1.a1', 'normal_contained_in': ['18.a1.a1', '18.b1.a1'], 'normal_contains': ['108.a1.a1', '108.b1.b1', '108.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '54.a1.a1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '27.2', 'quotient_action_kernel_order': 27, 'quotient_fusion': None, 'short_label': '54.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601164
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '864.4047', 'aut_weyl_index': 8, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.b1', '8.f1.a1', '8.g1.a1', '12.f1.b1', '12.o1.b1'], 'core': '4.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4618, 4198, 4061, 5752, 3656, 3510, 6332, 6393], 'generators': [217, 16, 864, 234, 12, 576, 432], 'label': '1728.8372.4.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.b1', '8.f1.a1', '8.g1.a1', '12.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.b1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.b1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601165
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '54.b1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '32.46', 'aut_weyl_index': 216, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.c1.a1', '18.d1.a1', '27.a1.a1'], 'contains': ['108.a1.a1', '108.c1.a1', '108.d1.a1', '108.e1.a1', '108.e1.b1', '108.f1.a1', '108.f1.b1'], 'core': '108.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7351, -1, 6994, -1, 6712, -1, 3500, -1], 'generators': [1, 18, 216], 'label': '1728.8372.54.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '54.b1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601166
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '54.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '18.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1.a1', '18.f1.a1', '27.a1.a1'], 'contains': ['108.a1.a1', '108.g1.a1', '108.h1.a1'], 'core': '108.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9339, -1, 8608, -1, 8746, -1, 2003, -1], 'generators': [109, 18], 'label': '1728.8372.54.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '54.c1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601167
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '54.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.h1.a1', '18.j1.a1', '27.a1.a1'], 'contains': ['108.b1.a1', '108.e1.a1', '108.g1.a1'], 'core': '108.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8394, -1, 9465, -1, 8405, -1, 1836, -1], 'generators': [1, 108], 'label': '1728.8372.54.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '54.d1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601168
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '54.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.h1.b1', '18.j1.b1', '27.a1.a1'], 'contains': ['108.b1.b1', '108.e1.b1', '108.g1.a1'], 'core': '108.b1.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [8394, -1, 9054, -1, 8405, -1, 1669, -1], 'generators': [109, 990], 'label': '1728.8372.54.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '54.d1.b1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601169
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '54.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.i1.a1', '18.k1.a1', '27.a1.a1'], 'contains': ['108.b1.b1', '108.e1.a1', '108.h1.a1'], 'core': '108.b1.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [8889, -1, 8213, -1, 8227, -1, 1342, -1], 'generators': [1, 990], 'label': '1728.8372.54.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '54.e1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601170
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '54.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.10', 'aut_weyl_index': 432, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.i1.b1', '18.k1.b1', '27.a1.a1'], 'contains': ['108.b1.a1', '108.e1.b1', '108.h1.a1'], 'core': '108.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8889, -1, 8792, -1, 8227, -1, 1534, -1], 'generators': [27, 108], 'label': '1728.8372.54.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '54.e1.b1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601171
    {'ambient': '1728.8372', 'aut_centralizer_order': 576, 'aut_label': '64.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 576, 'centralizer': '2.b1.a1', 'complements': ['27.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.c1.b1'], 'contains': ['192.a1.a1', '192.b1.a1', '192.c1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [235, 643, 157, 9063, 724, 2940, 9319, 7511], 'generators': [28, 576], 'label': '1728.8372.64.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['192.a1.a1', '192.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '576.469', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.17', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601172
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '72.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '36.a1.a1', '36.e1.a1', '36.g1.a1'], 'contains': ['144.a1.a1', '144.c1.a1', '144.d1.a1', '216.a1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5062, 5409, 4332, 4013, 4528, 5675, 5405, 4412], 'generators': [18, 432, 576, 864], 'label': '1728.8372.72.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.a1.a1', 'normal_contained_in': ['24.b1.a1', '36.a1.a1'], 'normal_contains': ['144.a1.a1', '144.c1.a1', '144.d1.a1', '216.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.a1.a1', 'projective_image': '144.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.1', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601173
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '72.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '24.c1.a1', '24.m1.a1', '36.b1.a1', '36.f1.a1', '36.h1.a1'], 'contains': ['144.b1.a1', '144.e1.a1', '144.f1.a1', '216.a1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3520, 4452, 3537, 4621, 3438, 4642, 6166, 5191], 'generators': [18, 432, 12, 864], 'label': '1728.8372.72.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.b1.a1', 'normal_contained_in': ['24.b1.a1', '24.c1.a1', '36.b1.a1'], 'normal_contains': ['144.b1.a1', '144.e1.a1', '144.f1.a1', '216.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.b1.a1', 'projective_image': '432.342', 'quotient_action_image': '4.2', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '72.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601174
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '72.c1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '36.a1.a1', '36.c1.a1', '36.c1.b1', '36.j1.a1', '36.j1.b1', '36.n1.a1', '36.o1.a1'], 'contains': ['144.c1.a1', '216.b1.a1'], 'core': '72.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7962, 7659, 7475, 1705, 7270, 7342, 2830, 2419], 'generators': [216, 576, 432, 864], 'label': '1728.8372.72.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.c1.a1', 'normal_contained_in': ['24.f1.a1', '36.a1.a1', '36.c1.b1', '36.c1.a1'], 'normal_contains': ['144.c1.a1', '216.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.c1.a1', 'projective_image': '72.17', 'quotient_action_image': '1.1', 'quotient_action_kernel': '72.17', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '72.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601175
    {'ambient': '1728.8372', 'aut_centralizer_order': 36, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '96.220', 'aut_weyl_index': 72, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.e1.b1'], 'contains': ['8.e1.a1', '12.g1.a1', '12.h1.a1', '12.r1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6020, 8518, 7018, 1012, 6018, 8984, 3419, 766], 'generators': [108, 432, 12, 28, 864, 576, 216], 'label': '1728.8372.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.e1.b1'], 'normal_contains': ['8.e1.a1', '12.g1.a1', '12.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '72.17', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601176
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '72.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '36.a1.a1', '36.k1.a1', '36.k1.b1'], 'contains': ['144.c1.a1', '216.c1.a1'], 'core': '72.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6038, 6423, 6560, 3164, 5671, 6353, 4344, 3901], 'generators': [234, 576, 432, 864], 'label': '1728.8372.72.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.d1.a1', 'normal_contained_in': ['24.g1.a1', '36.a1.a1'], 'normal_contains': ['144.c1.a1', '216.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.d1.a1', 'projective_image': '144.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.1', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601177
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '72.e1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '24.h1.a1', '24.r1.a1', '36.b1.a1', '36.d1.a1', '36.d1.b1', '36.l1.a1', '36.l1.b1', '36.p1.a1', '36.q1.a1'], 'contains': ['144.e1.a1', '216.b1.a1'], 'core': '72.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6597, 6952, 6120, 2302, 6436, 6632, 3568, 2955], 'generators': [216, 12, 432, 864], 'label': '1728.8372.72.e1.a1', 'mobius_quo': 0, 'mobius_sub': -24, 'normal_closure': '72.e1.a1', 'normal_contained_in': ['24.f1.a1', '24.h1.a1', '36.b1.a1', '36.d1.b1', '36.d1.a1'], 'normal_contains': ['144.e1.a1', '216.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.e1.a1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.14', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601178
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '72.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '24.i1.a1', '24.s1.a1', '36.b1.a1', '36.m1.a1', '36.m1.b1'], 'contains': ['144.e1.a1', '216.c1.a1'], 'core': '72.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4779, 6117, 5491, 3392, 5044, 6075, 4921, 4111], 'generators': [234, 12, 432, 864], 'label': '1728.8372.72.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.f1.a1', 'normal_contained_in': ['24.g1.a1', '24.i1.a1', '36.b1.a1'], 'normal_contains': ['144.e1.a1', '216.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.f1.a1', 'projective_image': '432.342', 'quotient_action_image': '4.2', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '72.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601179
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.g1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.l1.a1', '36.e1.a1'], 'contains': ['144.a1.a1', '144.h1.a1', '144.j1.b1', '216.d1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2903, -1, 2750, -1, 2744, -1, 6916, -1], 'generators': [1, 18, 576, 864], 'label': '1728.8372.72.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '72.g1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601180
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.g1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.l1.b1', '36.e1.a1'], 'contains': ['144.a1.a1', '144.h1.b1', '144.j1.a1', '216.d1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2903, -1, 3693, -1, 2744, -1, 7056, -1], 'generators': [433, 18, 576, 864], 'label': '1728.8372.72.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '72.g1.b1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.g1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601181
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '24.l1.a1', '36.f1.a1'], 'contains': ['144.b1.a1', '144.i1.a1', '144.k1.b1', '216.d1.a1'], 'core': '144.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1672, -1, 1600, -1, 1896, -1, 7917, -1], 'generators': [1, 18, 864, 12], 'label': '1728.8372.72.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.h1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.h1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601182
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.b1', '24.l1.b1', '36.f1.a1'], 'contains': ['144.b1.a1', '144.i1.b1', '144.k1.a1', '216.d1.b1'], 'core': '144.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1672, -1, 2369, -1, 1896, -1, 8095, -1], 'generators': [433, 18, 864, 12], 'label': '1728.8372.72.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.h1.b1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.h1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601183
    {'ambient': '1728.8372', 'aut_centralizer_order': 432, 'aut_label': '72.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '36.i1.a1'], 'contains': ['144.g1.a1', '144.l1.a1', '144.m1.a1', '216.a1.a1'], 'core': '216.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4420, -1, 4977, -1, 3962, -1, 5238, -1], 'generators': [18, 432, 588, 864], 'label': '1728.8372.72.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '72.i1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601184
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.j1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.n1.a1', '36.e1.a1', '36.j1.a1', '36.k1.a1'], 'contains': ['144.c1.a1', '144.h1.a1', '144.j1.a1', '216.e1.a1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5417, -1, 4807, -1, 4749, -1, 5738, -1], 'generators': [1, 432, 576, 864], 'label': '1728.8372.72.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '72.j1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601185
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.j1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.n1.b1', '36.e1.a1', '36.j1.b1', '36.k1.b1'], 'contains': ['144.c1.a1', '144.h1.b1', '144.j1.b1', '216.e1.b1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5417, -1, 4501, -1, 4749, -1, 5571, -1], 'generators': [27, 432, 576, 864], 'label': '1728.8372.72.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '72.j1.b1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601186
    {'ambient': '1728.8372', 'aut_centralizer_order': 36, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '96.220', 'aut_weyl_index': 72, 'centralizer': '4.f1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.b1', '2.e1.a1'], 'contains': ['8.e1.a1', '12.g1.b1', '12.h1.b1', '12.r1.b1'], 'core': '4.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6020, 8518, 6440, 1457, 6018, 8984, 3243, 1707], 'generators': [990, 432, 12, 28, 864, 576, 1080], 'label': '1728.8372.4.f1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.b1', 'normal_contained_in': ['2.b1.a1', '2.d1.b1', '2.e1.a1'], 'normal_contains': ['8.e1.a1', '12.g1.b1', '12.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.b1', 'projective_image': '72.17', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.f1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601187
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.k1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.11', 'aut_weyl_index': 432, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.o1.a1', '36.e1.a1'], 'contains': ['144.d1.a1', '144.h1.a1', '144.h1.b1', '216.f1.a1'], 'core': '144.d1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3203, -1, 3029, -1, 2929, -1, 7196, -1], 'generators': [1, 450, 576, 864], 'label': '1728.8372.72.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '72.k1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.k1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601188
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '24.n1.a1', '36.f1.a1', '36.l1.a1', '36.m1.a1'], 'contains': ['144.e1.a1', '144.i1.a1', '144.k1.a1', '216.e1.a1'], 'core': '144.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4016, -1, 3914, -1, 3760, -1, 6456, -1], 'generators': [1, 432, 864, 12], 'label': '1728.8372.72.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.l1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.l1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601189
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.b1', '24.n1.b1', '36.f1.a1', '36.l1.b1', '36.m1.b1'], 'contains': ['144.e1.a1', '144.i1.b1', '144.k1.b1', '216.e1.b1'], 'core': '144.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4016, -1, 3382, -1, 3760, -1, 6318, -1], 'generators': [27, 432, 864, 12], 'label': '1728.8372.72.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.l1.b1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.l1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601190
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.m1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.38', 'aut_weyl_index': 144, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '24.o1.a1', '36.f1.a1'], 'contains': ['144.f1.a1', '144.i1.a1', '144.i1.b1', '216.f1.a1'], 'core': '144.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2562, -1, 2230, -1, 2019, -1, 8188, -1], 'generators': [1, 450, 864, 12], 'label': '1728.8372.72.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.m1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.m1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601191
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.n1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.p1.a1', '36.g1.a1', '36.j1.a1', '36.k1.b1'], 'contains': ['144.c1.a1', '216.g1.a1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5897, -1, 6212, -1, 5298, -1, 4537, -1], 'generators': [217, 576, 432, 864], 'label': '1728.8372.72.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '72.n1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.n1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601192
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.n1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.p1.b1', '36.g1.a1', '36.j1.b1', '36.k1.a1'], 'contains': ['144.c1.a1', '216.g1.b1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5897, -1, 5768, -1, 5298, -1, 4729, -1], 'generators': [1107, 576, 1296, 864], 'label': '1728.8372.72.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '72.n1.b1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.n1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601193
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.o1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.11', 'aut_weyl_index': 432, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.q1.a1', '36.e1.a1'], 'contains': ['144.d1.a1', '144.j1.a1', '144.j1.b1', '216.h1.a1'], 'core': '144.d1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3730, -1, 4056, -1, 3115, -1, 6776, -1], 'generators': [433, 450, 576, 864], 'label': '1728.8372.72.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '72.o1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.o1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601194
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.a1', '24.p1.a1', '36.h1.a1', '36.l1.a1', '36.m1.b1'], 'contains': ['144.e1.a1', '216.g1.a1'], 'core': '144.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4600, -1, 5149, -1, 4922, -1, 5013, -1], 'generators': [217, 432, 864, 12], 'label': '1728.8372.72.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.p1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.p1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601195
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.b1', '24.p1.b1', '36.h1.a1', '36.l1.b1', '36.m1.a1'], 'contains': ['144.e1.a1', '216.g1.b1'], 'core': '144.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4600, -1, 4673, -1, 4922, -1, 5107, -1], 'generators': [1107, 1296, 864, 12], 'label': '1728.8372.72.p1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.j1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.p1.b1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.p1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601196
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '72.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.38', 'aut_weyl_index': 144, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.a1', '24.q1.a1', '36.f1.a1'], 'contains': ['144.f1.a1', '144.k1.a1', '144.k1.b1', '216.h1.a1'], 'core': '144.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2742, -1, 2870, -1, 2588, -1, 7481, -1], 'generators': [433, 450, 864, 12], 'label': '1728.8372.72.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.q1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.q1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601197
    {'ambient': '1728.8372', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.d1.b1', '4.e1.a1', '4.e1.b1', '6.a1.a1', '6.g1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5048, 4601, 4463, 5289, 4611, 4008, 5616, 5965], 'generators': [1, 432, 864, 18, 576, 12, 16, 216], 'label': '1728.8372.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.b1', '4.d1.a1', '4.e1.b1', '4.e1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601198
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '4.g1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '864.2571', 'aut_weyl_index': 8, 'centralizer': '18.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.d1.b1'], 'contains': ['8.e1.a1', '12.i1.a1', '12.p1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7167, 6955, 6749, 3882, 7185, 6775, 4629, 2536], 'generators': [109, 16, 864, 576, 12, 216, 432], 'label': '1728.8372.4.g1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.b1', '2.d1.a1'], 'normal_contains': ['8.e1.a1', '12.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 105601199
    {'ambient': '1728.8372', 'aut_centralizer_order': 432, 'aut_label': '72.r1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '36.i1.a1', '36.r1.a1', '36.r1.b1'], 'contains': ['144.l1.a1', '216.b1.a1'], 'core': '216.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7100, -1, 7896, -1, 6886, -1, 2703, -1], 'generators': [216, 588, 432, 864], 'label': '1728.8372.72.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '72.r1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.r1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601200
    {'ambient': '1728.8372', 'aut_centralizer_order': 432, 'aut_label': '72.s1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '36.i1.a1'], 'contains': ['144.l1.a1', '216.c1.a1'], 'core': '216.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5727, -1, 6822, -1, 5417, -1, 4255, -1], 'generators': [234, 588, 432, 864], 'label': '1728.8372.72.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '72.s1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.s1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601201
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '96.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.d1.a1', '48.e1.a1', '48.j1.a1', '48.j1.b1', '48.k1.a1', '48.k1.b1'], 'contains': ['192.a1.a1', '288.a1.a1', '288.b1.a1', '288.c1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1992, 2965, 1935, 6033, 2077, 3663, 7943, 5815], 'generators': [864, 12, 576], 'label': '1728.8372.96.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1', '48.d1.a1', '48.e1.a1'], 'normal_contains': ['192.a1.a1', '288.a1.a1', '288.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '288.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601202
    {'ambient': '1728.8372', 'aut_centralizer_order': 1152, 'aut_label': '96.b1', 'aut_quo_index': 48, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 1152, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.b1.a1', '48.c1.a1', '48.c1.b1', '48.f1.a1', '48.g1.a1', '48.h1.a1', '48.h1.b1'], 'contains': ['192.b1.a1', '288.b1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [651, 1503, 712, 8376, 1341, 2563, 8572, 7244], 'generators': [864, 28, 12], 'label': '1728.8372.96.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.a1.a1', '48.b1.a1', '48.c1.b1', '48.c1.a1', '48.f1.a1', '48.g1.a1', '48.h1.a1', '48.h1.b1'], 'normal_contains': ['192.b1.a1', '288.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': '864.1453', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601203
    {'ambient': '1728.8372', 'aut_centralizer_order': 576, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 1152, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.i1.a1', '48.l1.a1', '48.m1.a1'], 'contains': ['192.c1.a1', '288.b1.a1'], 'core': '288.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1318, -1, 1165, -1, 1644, -1, 8482, -1], 'generators': [864, 604, 12], 'label': '1728.8372.96.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.c1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601204
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.a1.a1'], 'contains': ['192.a1.a1', '288.d1.a1', '288.e1.a1', '288.f1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [999, -1, 828, -1, 1006, -1, 8294, -1], 'generators': [18, 12, 576], 'label': '1728.8372.96.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.d1.a1', 'projective_image': '576.469', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601205
    {'ambient': '1728.8372', 'aut_centralizer_order': 576, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 1152, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.b1.a1'], 'contains': ['192.b1.a1', '288.e1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [198, -1, 273, -1, 454, -1, 9205, -1], 'generators': [18, 28, 12], 'label': '1728.8372.96.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.e1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601206
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '6.2', 'aut_weyl_index': 1152, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.i1.a1'], 'contains': ['192.c1.a1', '288.e1.a1'], 'core': '576.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [528, -1, 440, -1, 573, -1, 8939, -1], 'generators': [18, 604, 12], 'label': '1728.8372.96.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.f1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601207
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.j1.a1'], 'contains': ['192.a1.a1', '288.g1.a1', '288.h1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [808, -1, 556, -1, 1190, -1, 8687, -1], 'generators': [1, 576, 12], 'label': '1728.8372.96.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.a1', 'old_label': '96.g1.a1', 'projective_image': '576.469', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 105601208
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.b1', '48.j1.b1'], 'contains': ['192.a1.a1', '288.g1.b1', '288.h1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [808, -1, 970, -1, 1190, -1, 8825, -1], 'generators': [1323, 576, 12], 'label': '1728.8372.96.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.b1', 'old_label': '96.g1.b1', 'projective_image': '576.469', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 105601209
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '4.h1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '864.2571', 'aut_weyl_index': 8, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.e1.a1', '2.e1.b1'], 'contains': ['8.e1.a1', '12.j1.a1', '12.q1.a1'], 'core': '4.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7788, 6147, 5893, 3283, 6923, 5545, 3964, 4467], 'generators': [135, 16, 864, 576, 12, 216, 432], 'label': '1728.8372.4.h1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.h1.a1', 'normal_contained_in': ['2.c1.a1', '2.e1.b1', '2.e1.a1'], 'normal_contains': ['8.e1.a1', '12.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601210
    {'ambient': '1728.8372', 'aut_centralizer_order': 32, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '54.6', 'aut_weyl_index': 128, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.c1.a1'], 'contains': ['192.b1.a1', '288.h1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [310, -1, 90, -1, 865, -1, 9426, -1], 'generators': [1, 16, 12], 'label': '1728.8372.96.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '96.h1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 105601211
    {'ambient': '1728.8372', 'aut_centralizer_order': 32, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '54.6', 'aut_weyl_index': 128, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.b1', '48.c1.b1'], 'contains': ['192.b1.a1', '288.h1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [310, -1, 356, -1, 865, -1, 9592, -1], 'generators': [1323, 16, 12], 'label': '1728.8372.96.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '96.h1.b1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1.b1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 105601212
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '108.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '36.b1.a1', '36.i1.a1', '54.a1.a1', '54.b1.a1', '54.c1.a1'], 'contains': ['216.a1.a1', '216.b1.a1', '216.c1.a1'], 'core': '108.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7350, 7348, 7615, 2606, 6712, 6987, 2945, 2687], 'generators': [18, 216], 'label': '1728.8372.108.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '108.a1.a1', 'normal_contained_in': ['36.a1.a1', '36.b1.a1', '54.a1.a1'], 'normal_contains': ['216.a1.a1', '216.b1.a1', '216.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '108.a1.a1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '54.3', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '108.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601213
    {'ambient': '1728.8372', 'aut_centralizer_order': 432, 'aut_label': '108.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 864, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1', '36.d1.a1', '36.r1.a1', '54.a1.a1', '54.d1.a1', '54.e1.b1'], 'contains': ['216.b1.a1'], 'core': '108.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7844, 8745, 9036, 979, 8100, 8271, 1534, 1681], 'generators': [108], 'label': '1728.8372.108.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '108.b1.a1', 'normal_contained_in': ['36.c1.a1', '36.d1.a1', '54.a1.a1'], 'normal_contains': ['216.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '108.b1.a1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '54.3', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '108.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601214
    {'ambient': '1728.8372', 'aut_centralizer_order': 432, 'aut_label': '108.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 864, 'centralizer': '2.d1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.c1.b1', '36.d1.b1', '36.r1.b1', '54.a1.a1', '54.d1.b1', '54.e1.a1'], 'contains': ['216.b1.a1'], 'core': '108.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7844, 8745, 8483, 1325, 8100, 8271, 1342, 2109], 'generators': [990], 'label': '1728.8372.108.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '108.b1.b1', 'normal_contained_in': ['36.c1.b1', '36.d1.b1', '54.a1.a1'], 'normal_contains': ['216.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '108.b1.b1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '54.3', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '108.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601267
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '288.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.g1.a1', '96.h1.a1', '144.i1.a1'], 'contains': ['576.b1.a1', '864.c1.a1'], 'core': '576.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [821, -1, 479, -1, 1311, -1, 8407, -1], 'generators': [1, 12], 'label': '1728.8372.288.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.a1', 'old_label': '288.h1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.h1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 105601215
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '108.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.11', 'aut_weyl_index': 432, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.e1.a1', '36.f1.a1', '54.b1.a1'], 'contains': ['216.a1.a1', '216.d1.a1', '216.d1.b1', '216.e1.a1', '216.e1.b1', '216.f1.a1', '216.h1.a1'], 'core': '216.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4423, -1, 4421, -1, 4135, -1, 6035, -1], 'generators': [1, 18, 432], 'label': '1728.8372.108.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '108.c1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601216
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '108.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.11', 'aut_weyl_index': 432, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1', '36.h1.a1', '54.b1.a1'], 'contains': ['216.a1.a1', '216.g1.a1', '216.g1.b1'], 'core': '216.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5293, -1, 5973, -1, 5171, -1, 4825, -1], 'generators': [217, 18], 'label': '1728.8372.108.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '108.d1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601217
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '108.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.j1.a1', '36.l1.a1', '54.b1.a1', '54.d1.a1', '54.e1.a1'], 'contains': ['216.b1.a1', '216.e1.a1', '216.g1.a1'], 'core': '216.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8003, -1, 7231, -1, 7038, -1, 3158, -1], 'generators': [1, 216], 'label': '1728.8372.108.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '108.e1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601218
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '108.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.j1.b1', '36.l1.b1', '54.b1.a1', '54.d1.b1', '54.e1.b1'], 'contains': ['216.b1.a1', '216.e1.b1', '216.g1.b1'], 'core': '216.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8003, -1, 7061, -1, 7038, -1, 3371, -1], 'generators': [27, 216], 'label': '1728.8372.108.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '108.e1.b1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601219
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '108.f1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.k1.a1', '36.m1.a1', '54.b1.a1'], 'contains': ['216.c1.a1', '216.e1.a1', '216.g1.b1'], 'core': '216.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5931, -1, 6116, -1, 5544, -1, 4633, -1], 'generators': [1, 234], 'label': '1728.8372.108.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '108.f1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601220
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1728.30979', 'aut_weyl_index': 4, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.c1.a1', '12.d1.a1', '12.e1.a1', '12.e1.b1', '12.f1.a1', '12.f1.b1', '18.d1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5044, 4546, 4384, 5129, 4515, 4008, 5689, 5626], 'generators': [1, 16, 864, 18, 12, 216, 432], 'label': '1728.8372.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.c1.a1', '12.d1.a1', '12.e1.b1', '12.e1.a1', '12.f1.b1', '12.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601221
    {'ambient': '1728.8372', 'aut_centralizer_order': 48, 'aut_label': '108.f1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.k1.b1', '36.m1.b1', '54.b1.a1'], 'contains': ['216.c1.a1', '216.e1.b1', '216.g1.a1'], 'core': '216.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5931, -1, 6339, -1, 5544, -1, 4440, -1], 'generators': [217, 234], 'label': '1728.8372.108.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '108.f1.b1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.f1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601222
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '108.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.2', 'aut_weyl_index': 864, 'centralizer': '9.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.n1.a1', '36.p1.a1', '54.c1.a1', '54.d1.a1', '54.d1.b1'], 'contains': ['216.b1.a1'], 'core': '216.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8429, -1, 8720, -1, 8405, -1, 2067, -1], 'generators': [109], 'label': '1728.8372.108.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '108.g1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601223
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '108.h1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.2', 'aut_weyl_index': 864, 'centralizer': '18.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.o1.a1', '36.q1.a1', '54.c1.a1', '54.e1.a1', '54.e1.b1'], 'contains': ['216.b1.a1'], 'core': '216.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9198, -1, 8105, -1, 8227, -1, 1768, -1], 'generators': [135], 'label': '1728.8372.108.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '108.h1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601224
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '144.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '72.a1.a1', '72.g1.a1', '72.g1.b1'], 'contains': ['288.a1.a1', '288.d1.a1', '432.a1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2611, 4180, 2456, 5015, 2505, 4804, 7100, 5280], 'generators': [18, 864, 576], 'label': '1728.8372.144.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.a1.a1', 'normal_contained_in': ['48.a1.a1', '72.a1.a1'], 'normal_contains': ['288.a1.a1', '432.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.a1.a1', 'projective_image': '288.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.1', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601225
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '144.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '48.b1.a1', '48.i1.a1', '72.b1.a1', '72.h1.a1', '72.h1.b1'], 'contains': ['288.b1.a1', '288.e1.a1', '432.a1.a1'], 'core': '144.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1229, 3400, 1468, 5682, 1493, 4094, 8082, 6140], 'generators': [18, 864, 12], 'label': '1728.8372.144.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.b1.a1', 'normal_contained_in': ['48.a1.a1', '48.b1.a1', '72.b1.a1'], 'normal_contains': ['288.b1.a1', '432.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.b1.a1', 'projective_image': '864.1453', 'quotient_action_image': '4.2', 'quotient_action_kernel': '36.8', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '144.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601226
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '144.c1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '72.a1.a1', '72.c1.a1', '72.d1.a1', '72.j1.a1', '72.j1.b1', '72.n1.a1', '72.n1.b1'], 'contains': ['288.a1.a1', '432.b1.a1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5578, 5758, 4949, 3753, 4680, 5868, 5367, 4266], 'generators': [432, 576, 864], 'label': '1728.8372.144.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.c1.a1', 'normal_contained_in': ['48.d1.a1', '72.a1.a1', '72.c1.a1', '72.d1.a1'], 'normal_contains': ['288.a1.a1', '432.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.c1.a1', 'projective_image': '144.38', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.38', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601227
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '144.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '72.a1.a1', '72.k1.a1', '72.o1.a1'], 'contains': ['288.a1.a1', '432.c1.a1'], 'core': '144.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3365, 4571, 3589, 4726, 3154, 4449, 6520, 5012], 'generators': [450, 576, 864], 'label': '1728.8372.144.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.d1.a1', 'normal_contained_in': ['48.e1.a1', '72.a1.a1'], 'normal_contains': ['288.a1.a1', '432.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.d1.a1', 'projective_image': '288.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.1', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601228
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '144.e1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '48.f1.a1', '48.l1.a1', '72.b1.a1', '72.e1.a1', '72.f1.a1', '72.l1.a1', '72.l1.b1', '72.p1.a1', '72.p1.b1'], 'contains': ['288.b1.a1', '432.b1.a1'], 'core': '144.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3903, 5114, 3761, 4425, 3871, 5158, 6089, 4802], 'generators': [432, 12, 864], 'label': '1728.8372.144.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.e1.a1', 'normal_contained_in': ['48.d1.a1', '48.f1.a1', '72.b1.a1', '72.e1.a1', '72.f1.a1'], 'normal_contains': ['288.b1.a1', '432.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.e1.a1', 'projective_image': '432.342', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.36', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601229
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '144.f1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '48.g1.a1', '48.m1.a1', '72.b1.a1', '72.m1.a1', '72.q1.a1'], 'contains': ['288.b1.a1', '432.c1.a1'], 'core': '144.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2258, 3790, 2338, 5308, 2229, 3307, 7640, 5547], 'generators': [450, 12, 864], 'label': '1728.8372.144.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.f1.a1', 'normal_contained_in': ['48.e1.a1', '48.g1.a1', '72.b1.a1'], 'normal_contains': ['288.b1.a1', '432.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.f1.a1', 'projective_image': '864.1453', 'quotient_action_image': '4.2', 'quotient_action_kernel': '36.8', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '144.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601230
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '144.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '72.i1.a1'], 'contains': ['288.c1.a1', '288.f1.a1', '432.a1.a1'], 'core': '432.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2417, -1, 2815, -1, 1893, -1, 6961, -1], 'generators': [18, 864, 588], 'label': '1728.8372.144.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '144.g1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601268
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '288.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.g1.b1', '96.h1.b1', '144.i1.b1'], 'contains': ['576.b1.a1', '864.c1.b1'], 'core': '576.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [821, -1, 698, -1, 1311, -1, 8480, -1], 'generators': [1323, 12], 'label': '1728.8372.288.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.b1', 'old_label': '288.h1.b1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.h1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 105601231
    {'ambient': '1728.8372', 'aut_centralizer_order': 54, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2322', 'aut_weyl_index': 54, 'centralizer': '8.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.b1.a1'], 'contains': ['12.b1.a1', '12.g1.a1', '12.g1.b1', '18.a1.a1', '18.b1.a1', '18.g1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7068, 9741, 8712, 310, 7755, 9644, 1669, 269], 'generators': [18, 432, 216, 108, 864, 12, 576], 'label': '1728.8372.6.b1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['12.b1.a1', '12.g1.b1', '12.g1.a1', '18.a1.a1', '18.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 105601232
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '144.h1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.a1', '72.g1.a1', '72.j1.a1', '72.k1.a1'], 'contains': ['288.a1.a1', '288.g1.a1', '432.d1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2912, -1, 2038, -1, 2689, -1, 7386, -1], 'generators': [1, 864, 576], 'label': '1728.8372.144.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '144.h1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601233
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '144.h1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.b1', '72.g1.b1', '72.j1.b1', '72.k1.a1'], 'contains': ['288.a1.a1', '288.g1.b1', '432.d1.b1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2912, -1, 2674, -1, 2689, -1, 7526, -1], 'generators': [1323, 864, 576], 'label': '1728.8372.144.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '144.h1.b1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601234
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '144.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '48.j1.a1', '72.h1.a1', '72.l1.a1', '72.m1.a1'], 'contains': ['288.b1.a1', '288.h1.a1', '432.d1.a1'], 'core': '288.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1566, -1, 1215, -1, 1753, -1, 8188, -1], 'generators': [1, 864, 12], 'label': '1728.8372.144.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '144.i1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.i1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601235
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '144.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1.b1', '48.j1.b1', '72.h1.b1', '72.l1.b1', '72.m1.a1'], 'contains': ['288.b1.a1', '288.h1.b1', '432.d1.b1'], 'core': '288.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1566, -1, 1723, -1, 1753, -1, 8401, -1], 'generators': [1323, 864, 12], 'label': '1728.8372.144.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '144.i1.b1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.i1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601236
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '144.j1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.k1.a1', '72.g1.b1', '72.j1.a1', '72.o1.a1'], 'contains': ['288.a1.a1', '432.e1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3154, -1, 3852, -1, 3273, -1, 6773, -1], 'generators': [433, 576, 864], 'label': '1728.8372.144.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '144.j1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601237
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '144.j1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.k1.b1', '72.g1.a1', '72.j1.b1', '72.o1.a1'], 'contains': ['288.a1.a1', '432.e1.b1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3154, -1, 3254, -1, 3273, -1, 6683, -1], 'generators': [27, 576, 864], 'label': '1728.8372.144.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '144.j1.b1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601238
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '144.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1.a1', '48.k1.a1', '72.h1.b1', '72.l1.a1', '72.q1.a1'], 'contains': ['288.b1.a1', '432.e1.a1'], 'core': '288.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2026, -1, 3013, -1, 2350, -1, 7826, -1], 'generators': [433, 864, 12], 'label': '1728.8372.144.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '144.k1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601239
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '144.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1.b1', '48.k1.b1', '72.h1.a1', '72.l1.b1', '72.q1.a1'], 'contains': ['288.b1.a1', '432.e1.b1'], 'core': '288.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2026, -1, 2196, -1, 2350, -1, 7732, -1], 'generators': [27, 864, 12], 'label': '1728.8372.144.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '144.k1.b1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.k1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601240
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '144.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '72.i1.a1', '72.r1.a1', '72.s1.a1'], 'contains': ['288.c1.a1', '432.b1.a1'], 'core': '432.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4763, -1, 5116, -1, 4308, -1, 5257, -1], 'generators': [432, 588, 864], 'label': '1728.8372.144.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '144.l1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.l1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601241
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '144.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '72.i1.a1'], 'contains': ['288.c1.a1', '432.c1.a1'], 'core': '432.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3512, -1, 3984, -1, 2840, -1, 6430, -1], 'generators': [450, 588, 864], 'label': '1728.8372.144.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '144.m1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601242
    {'ambient': '1728.8372', 'aut_centralizer_order': 36, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1533', 'aut_weyl_index': 36, 'centralizer': '8.e1.a1', 'complements': ['288.g1.a1', '288.g1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.h1.a1', '12.h1.b1', '18.b1.a1'], 'core': '6.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6134, 8665, 6586, 1108, 5751, 8360, 3621, 1237], 'generators': [18, 432, 12, 108, 864, 28, 216], 'label': '1728.8372.6.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1.a1', 'normal_contained_in': ['2.b1.a1', '3.a1.a1'], 'normal_contains': ['12.c1.a1', '12.h1.b1', '12.h1.a1', '18.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 105601243
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.d1.a1', '96.g1.a1', '96.g1.b1'], 'contains': ['576.a1.a1', '576.b1.a1', '576.c1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [928, 2596, 779, 6372, 1207, 3663, 8254, 5815], 'generators': [12, 576], 'label': '1728.8372.192.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.a1.a1'], 'normal_contains': ['576.a1.a1', '576.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': '576.469', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.60', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601244
    {'ambient': '1728.8372', 'aut_centralizer_order': 1152, 'aut_label': '192.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 1152, 'centralizer': '2.b1.a1', 'complements': ['9.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.b1.a1', '96.e1.a1', '96.h1.a1', '96.h1.b1'], 'contains': ['576.b1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [205, 946, 182, 8965, 865, 2940, 9263, 7244], 'generators': [28], 'label': '1728.8372.192.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.b1.a1', 'normal_contained_in': ['64.a1.a1', '96.b1.a1'], 'normal_contains': ['576.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.b1.a1', 'projective_image': '1728.8372', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.60', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601245
    {'ambient': '1728.8372', 'aut_centralizer_order': 576, 'aut_label': '192.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 1152, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.c1.a1', '96.f1.a1'], 'contains': ['576.b1.a1'], 'core': '576.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [463, -1, 356, -1, 1103, -1, 8747, -1], 'generators': [604], 'label': '1728.8372.192.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.c1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601246
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '216.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '72.b1.a1', '72.i1.a1', '108.a1.a1', '108.c1.a1', '108.d1.a1'], 'contains': ['432.a1.a1', '432.b1.a1', '432.c1.a1'], 'core': '216.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4514, 5253, 4574, 4070, 4135, 5514, 5481, 4534], 'generators': [18, 432], 'label': '1728.8372.216.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '216.a1.a1', 'normal_contained_in': ['72.a1.a1', '72.b1.a1', '108.a1.a1'], 'normal_contains': ['432.a1.a1', '432.b1.a1', '432.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '216.a1.a1', 'projective_image': '432.342', 'quotient_action_image': '2.1', 'quotient_action_kernel': '108.6', 'quotient_action_kernel_order': 108, 'quotient_fusion': None, 'short_label': '216.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601247
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '216.b1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.c1.a1', '72.e1.a1', '72.r1.a1', '108.a1.a1', '108.b1.a1', '108.b1.b1', '108.e1.a1', '108.e1.b1', '108.g1.a1', '108.h1.a1'], 'contains': ['432.b1.a1'], 'core': '216.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7525, 7348, 7615, 1906, 7038, 6987, 2830, 2553], 'generators': [216], 'label': '1728.8372.216.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '216.b1.a1', 'normal_contained_in': ['72.c1.a1', '72.e1.a1', '108.a1.a1', '108.b1.b1', '108.b1.a1'], 'normal_contains': ['432.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '216.b1.a1', 'projective_image': '216.108', 'quotient_action_image': '1.1', 'quotient_action_kernel': '216.108', 'quotient_action_kernel_order': 216, 'quotient_fusion': None, 'short_label': '216.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601248
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '216.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.d1.a1', '72.f1.a1', '72.s1.a1', '108.a1.a1', '108.f1.a1', '108.f1.b1'], 'contains': ['432.b1.a1'], 'core': '216.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5867, 6325, 6282, 3268, 5481, 6239, 4440, 3989], 'generators': [234], 'label': '1728.8372.216.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '216.c1.a1', 'normal_contained_in': ['72.d1.a1', '72.f1.a1', '108.a1.a1'], 'normal_contains': ['432.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '216.c1.a1', 'projective_image': '432.342', 'quotient_action_image': '2.1', 'quotient_action_kernel': '108.6', 'quotient_action_kernel_order': 108, 'quotient_fusion': None, 'short_label': '216.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601249
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '216.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.g1.a1', '72.h1.a1', '108.c1.a1'], 'contains': ['432.a1.a1', '432.d1.a1', '432.e1.b1'], 'core': '432.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2229, -1, 2651, -1, 2948, -1, 6855, -1], 'generators': [1, 18], 'label': '1728.8372.216.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '216.d1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601250
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '216.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.g1.b1', '72.h1.b1', '108.c1.a1'], 'contains': ['432.a1.a1', '432.d1.b1', '432.e1.a1'], 'core': '432.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2229, -1, 3514, -1, 2948, -1, 7207, -1], 'generators': [433, 18], 'label': '1728.8372.216.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '216.d1.b1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601251
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '216.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.j1.a1', '72.l1.a1', '108.c1.a1', '108.e1.a1', '108.f1.a1'], 'contains': ['432.b1.a1', '432.d1.a1', '432.e1.a1'], 'core': '432.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4765, -1, 4784, -1, 4459, -1, 5897, -1], 'generators': [1, 432], 'label': '1728.8372.216.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '216.e1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601252
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '216.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.j1.b1', '72.l1.b1', '108.c1.a1', '108.e1.b1', '108.f1.b1'], 'contains': ['432.b1.a1', '432.d1.b1', '432.e1.b1'], 'core': '432.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4765, -1, 4405, -1, 4459, -1, 5689, -1], 'generators': [27, 432], 'label': '1728.8372.216.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '216.e1.b1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601253
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '864.2571', 'aut_weyl_index': 8, 'centralizer': '36.a1.a1', 'complements': ['288.g1.a1', '288.g1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.i1.a1', '12.j1.a1', '18.f1.a1'], 'core': '6.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7888, 6659, 6027, 2503, 6660, 6160, 4827, 3392], 'generators': [109, 16, 864, 18, 12, 216, 432], 'label': '1728.8372.6.d1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1.a1', 'normal_contained_in': ['2.c1.a1', '3.a1.a1'], 'normal_contains': ['12.c1.a1', '12.i1.a1', '12.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.d1.a1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601254
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '216.f1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.3', 'aut_weyl_index': 864, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.k1.a1', '72.m1.a1', '108.c1.a1'], 'contains': ['432.c1.a1', '432.d1.a1', '432.d1.b1'], 'core': '432.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3268, -1, 2982, -1, 3046, -1, 7280, -1], 'generators': [1, 450], 'label': '1728.8372.216.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '216.f1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601255
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '216.g1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.n1.a1', '72.p1.a1', '108.d1.a1', '108.e1.a1', '108.f1.b1'], 'contains': ['432.b1.a1'], 'core': '432.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5582, -1, 6045, -1, 5235, -1, 4620, -1], 'generators': [217], 'label': '1728.8372.216.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '216.g1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601256
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '216.g1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.n1.b1', '72.p1.b1', '108.d1.a1', '108.e1.b1', '108.f1.a1'], 'contains': ['432.b1.a1'], 'core': '432.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5582, -1, 5788, -1, 5235, -1, 4777, -1], 'generators': [1107], 'label': '1728.8372.216.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.j1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '216.g1.b1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.g1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601257
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '216.h1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.3', 'aut_weyl_index': 864, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.o1.a1', '72.q1.a1', '108.c1.a1'], 'contains': ['432.c1.a1', '432.e1.a1', '432.e1.b1'], 'core': '432.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3518, -1, 3929, -1, 3381, -1, 6601, -1], 'generators': [433, 450], 'label': '1728.8372.216.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '216.h1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601258
    {'ambient': '1728.8372', 'aut_centralizer_order': 3456, 'aut_label': '288.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '144.a1.a1', '144.c1.a1', '144.d1.a1', '144.h1.a1', '144.h1.b1', '144.j1.a1', '144.j1.b1'], 'contains': ['576.a1.a1', '864.a1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2593, 3909, 2427, 5393, 2793, 4477, 7100, 5244], 'generators': [864, 576], 'label': '1728.8372.288.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '288.a1.a1', 'normal_contained_in': ['96.a1.a1', '144.a1.a1', '144.c1.a1', '144.d1.a1'], 'normal_contains': ['576.a1.a1', '864.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '288.a1.a1', 'projective_image': '288.110', 'quotient_action_image': '1.1', 'quotient_action_kernel': '288.110', 'quotient_action_kernel_order': 288, 'quotient_fusion': None, 'short_label': '288.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601259
    {'ambient': '1728.8372', 'aut_centralizer_order': 3456, 'aut_label': '288.b1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '144.b1.a1', '144.e1.a1', '144.f1.a1', '144.i1.a1', '144.i1.b1', '144.k1.a1', '144.k1.b1'], 'contains': ['576.b1.a1', '864.a1.a1'], 'core': '288.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1433, 3230, 1783, 5930, 2020, 3907, 7986, 5631], 'generators': [864, 12], 'label': '1728.8372.288.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '288.b1.a1', 'normal_contained_in': ['96.a1.a1', '96.b1.a1', '144.b1.a1', '144.e1.a1', '144.f1.a1'], 'normal_contains': ['576.b1.a1', '864.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '288.b1.a1', 'projective_image': '864.1453', 'quotient_action_image': '2.1', 'quotient_action_kernel': '144.104', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '288.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601260
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '288.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '144.g1.a1', '144.l1.a1', '144.m1.a1'], 'contains': ['576.c1.a1', '864.a1.a1'], 'core': '864.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2789, -1, 2922, -1, 2584, -1, 6953, -1], 'generators': [864, 588], 'label': '1728.8372.288.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '288.c1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601261
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '288.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '2.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.d1.a1', '144.a1.a1'], 'contains': ['576.a1.a1', '864.b1.a1'], 'core': '576.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1809, -1, 927, -1, 1743, -1, 7912, -1], 'generators': [18, 576], 'label': '1728.8372.288.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '288.d1.a1', 'projective_image': '576.469', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601262
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '288.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.d1.a1', '96.e1.a1', '96.f1.a1', '144.b1.a1'], 'contains': ['576.b1.a1', '864.b1.a1'], 'core': '576.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [715, -1, 563, -1, 1006, -1, 8333, -1], 'generators': [18, 12], 'label': '1728.8372.288.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '288.e1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601263
    {'ambient': '1728.8372', 'aut_centralizer_order': 864, 'aut_label': '288.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.d1.a1', '144.g1.a1'], 'contains': ['576.c1.a1', '864.b1.a1'], 'core': '1728.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1708, -1, 1107, -1, 1597, -1, 7838, -1], 'generators': [18, 588], 'label': '1728.8372.288.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '288.f1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601264
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '864.2571', 'aut_weyl_index': 8, 'centralizer': '36.c1.a1', 'complements': ['288.d1.a1', '288.f1.a1', '288.g1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.e1.a1', '12.h1.a1', '12.i1.a1', '18.j1.a1'], 'core': '6.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6783, 7993, 6826, 2965, 6418, 7748, 4446, 2109], 'generators': [1, 16, 864, 108, 12, 216, 432], 'label': '1728.8372.6.e1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.e1.a1', 'normal_contained_in': ['2.d1.a1', '3.a1.a1'], 'normal_contains': ['12.e1.a1', '12.h1.a1', '12.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601265
    {'ambient': '1728.8372', 'aut_centralizer_order': 96, 'aut_label': '288.g1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.g1.a1', '144.h1.a1'], 'contains': ['576.a1.a1', '864.c1.a1'], 'core': '576.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [1604, -1, 773, -1, 1853, -1, 8059, -1], 'generators': [1, 576], 'label': '1728.8372.288.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.h1.a1', 'old_label': '288.g1.a1', 'projective_image': '576.469', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601269
    {'ambient': '1728.8372', 'aut_centralizer_order': 3456, 'aut_label': '432.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['144.a1.a1', '144.b1.a1', '144.g1.a1', '216.a1.a1', '216.d1.a1', '216.d1.b1'], 'contains': ['864.a1.a1', '864.b1.a1'], 'core': '432.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2039, 4155, 2665, 5101, 2480, 4750, 7179, 5428], 'generators': [18, 864], 'label': '1728.8372.432.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '432.a1.a1', 'normal_contained_in': ['144.a1.a1', '144.b1.a1', '216.a1.a1'], 'normal_contains': ['864.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '432.a1.a1', 'projective_image': '864.1453', 'quotient_action_image': '2.1', 'quotient_action_kernel': '216.12', 'quotient_action_kernel_order': 216, 'quotient_fusion': None, 'short_label': '432.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601270
    {'ambient': '1728.8372', 'aut_centralizer_order': 3456, 'aut_label': '432.b1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['144.c1.a1', '144.e1.a1', '144.l1.a1', '216.a1.a1', '216.b1.a1', '216.c1.a1', '216.e1.a1', '216.e1.b1', '216.g1.a1', '216.g1.b1'], 'contains': ['864.a1.a1'], 'core': '432.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4887, 5656, 4949, 3895, 4459, 5691, 5367, 4400], 'generators': [432], 'label': '1728.8372.432.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '432.b1.a1', 'normal_contained_in': ['144.c1.a1', '144.e1.a1', '216.a1.a1', '216.b1.a1', '216.c1.a1'], 'normal_contains': ['864.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '432.b1.a1', 'projective_image': '432.342', 'quotient_action_image': '1.1', 'quotient_action_kernel': '432.342', 'quotient_action_kernel_order': 432, 'quotient_fusion': None, 'short_label': '432.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601271
    {'ambient': '1728.8372', 'aut_centralizer_order': 3456, 'aut_label': '432.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['144.d1.a1', '144.f1.a1', '144.m1.a1', '216.a1.a1', '216.f1.a1', '216.h1.a1'], 'contains': ['864.a1.a1'], 'core': '432.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3335, 4498, 3512, 4869, 3046, 4249, 6601, 5033], 'generators': [450], 'label': '1728.8372.432.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '432.c1.a1', 'normal_contained_in': ['144.d1.a1', '144.f1.a1', '216.a1.a1'], 'normal_contains': ['864.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '432.c1.a1', 'projective_image': '864.1453', 'quotient_action_image': '2.1', 'quotient_action_kernel': '216.12', 'quotient_action_kernel_order': 216, 'quotient_fusion': None, 'short_label': '432.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601272
    {'ambient': '1728.8372', 'aut_centralizer_order': 192, 'aut_label': '432.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.h1.a1', '144.i1.a1', '216.d1.a1', '216.e1.a1', '216.f1.a1'], 'contains': ['864.a1.a1', '864.c1.a1'], 'core': '864.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2714, -1, 2485, -1, 2689, -1, 7271, -1], 'generators': [1, 864], 'label': '1728.8372.432.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '432.d1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601273
    {'ambient': '1728.8372', 'aut_centralizer_order': 192, 'aut_label': '432.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.h1.b1', '144.i1.b1', '216.d1.b1', '216.e1.b1', '216.f1.a1'], 'contains': ['864.a1.a1', '864.c1.b1'], 'core': '864.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2714, -1, 2790, -1, 2689, -1, 7355, -1], 'generators': [1323, 864], 'label': '1728.8372.432.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '432.d1.b1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601274
    {'ambient': '1728.8372', 'aut_centralizer_order': 192, 'aut_label': '432.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.j1.a1', '144.k1.a1', '216.d1.b1', '216.e1.a1', '216.h1.a1'], 'contains': ['864.a1.a1'], 'core': '864.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2949, -1, 3907, -1, 3208, -1, 7027, -1], 'generators': [433], 'label': '1728.8372.432.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '432.e1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601275
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '864.2571', 'aut_weyl_index': 8, 'centralizer': '36.c1.b1', 'complements': ['288.d1.a1', '288.f1.a1', '288.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '3.a1.a1'], 'contains': ['12.e1.b1', '12.h1.b1', '12.i1.a1', '18.j1.b1'], 'core': '6.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6783, 7993, 6386, 3487, 6418, 7748, 4278, 2964], 'generators': [109, 16, 864, 990, 12, 216, 432], 'label': '1728.8372.6.e1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.e1.b1', 'normal_contained_in': ['2.d1.b1', '3.a1.a1'], 'normal_contains': ['12.e1.b1', '12.h1.b1', '12.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.e1.b1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.e1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601276
    {'ambient': '1728.8372', 'aut_centralizer_order': 192, 'aut_label': '432.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.j1.b1', '144.k1.b1', '216.d1.a1', '216.e1.b1', '216.h1.a1'], 'contains': ['864.a1.a1'], 'core': '864.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2949, -1, 3032, -1, 3208, -1, 6769, -1], 'generators': [27], 'label': '1728.8372.432.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '432.e1.b1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601277
    {'ambient': '1728.8372', 'aut_centralizer_order': 3456, 'aut_label': '576.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '1.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1.a1', '288.a1.a1', '288.d1.a1', '288.g1.a1', '288.g1.b1'], 'contains': ['1728.a1.a1'], 'core': '576.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1632, 3098, 857, 6098, 1767, 4103, 7986, 5533], 'generators': [576], 'label': '1728.8372.576.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '576.a1.a1', 'normal_contained_in': ['192.a1.a1', '288.a1.a1'], 'normal_contains': ['1728.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '576.a1.a1', 'projective_image': '576.469', 'quotient_action_image': '1.1', 'quotient_action_kernel': '576.469', 'quotient_action_kernel_order': 576, 'quotient_fusion': None, 'short_label': '576.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601278
    {'ambient': '1728.8372', 'aut_centralizer_order': 3456, 'aut_label': '576.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['192.a1.a1', '192.b1.a1', '192.c1.a1', '288.b1.a1', '288.e1.a1', '288.h1.a1', '288.h1.b1'], 'contains': ['1728.a1.a1'], 'core': '576.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [768, 2795, 534, 6415, 1207, 3824, 8370, 5710], 'generators': [12], 'label': '1728.8372.576.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '576.b1.a1', 'normal_contained_in': ['192.a1.a1', '192.b1.a1', '288.b1.a1'], 'normal_contains': ['1728.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '576.b1.a1', 'projective_image': '1728.8372', 'quotient_action_image': '2.1', 'quotient_action_kernel': '288.328', 'quotient_action_kernel_order': 288, 'quotient_fusion': None, 'short_label': '576.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601279
    {'ambient': '1728.8372', 'aut_centralizer_order': 1728, 'aut_label': '576.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.a1.a1', '288.c1.a1', '288.f1.a1'], 'contains': ['1728.a1.a1'], 'core': '1728.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1531, -1, 1141, -1, 1670, -1, 7838, -1], 'generators': [588], 'label': '1728.8372.576.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '576.c1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601280
    {'ambient': '1728.8372', 'aut_centralizer_order': 6912, 'aut_label': '864.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['288.a1.a1', '288.b1.a1', '288.c1.a1', '432.a1.a1', '432.b1.a1', '432.c1.a1', '432.d1.a1', '432.d1.b1', '432.e1.a1', '432.e1.b1'], 'contains': ['1728.a1.a1'], 'core': '864.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2714, 4006, 2728, 5274, 2689, 4357, 7100, 5349], 'generators': [864], 'label': '1728.8372.864.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '864.a1.a1', 'normal_contained_in': ['288.a1.a1', '288.b1.a1', '432.a1.a1', '432.b1.a1', '432.c1.a1'], 'normal_contains': ['1728.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '864.a1.a1', 'projective_image': '864.1453', 'quotient_action_image': '1.1', 'quotient_action_kernel': '864.1453', 'quotient_action_kernel_order': 864, 'quotient_fusion': None, 'short_label': '864.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601281
    {'ambient': '1728.8372', 'aut_centralizer_order': 3456, 'aut_label': '864.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '2.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['288.d1.a1', '288.e1.a1', '288.f1.a1', '432.a1.a1'], 'contains': ['1728.a1.a1'], 'core': '1728.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1709, -1, 966, -1, 1573, -1, 7912, -1], 'generators': [18], 'label': '1728.8372.864.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '432.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '864.b1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '864.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601282
    {'ambient': '1728.8372', 'aut_centralizer_order': 192, 'aut_label': '864.c1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['288.g1.a1', '288.h1.a1', '432.d1.a1'], 'contains': ['1728.a1.a1'], 'core': '1728.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [1197, -1, 723, -1, 1865, -1, 8059, -1], 'generators': [1], 'label': '1728.8372.864.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.h1.a1', 'old_label': '864.c1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '864.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601283
    {'ambient': '1728.8372', 'aut_centralizer_order': 192, 'aut_label': '864.c1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['288.g1.b1', '288.h1.b1', '432.d1.b1'], 'contains': ['1728.a1.a1'], 'core': '1728.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [1197, -1, 1051, -1, 1865, -1, 8133, -1], 'generators': [1323], 'label': '1728.8372.864.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.h1.b1', 'old_label': '864.c1.b1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '864.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601284
    {'ambient': '1728.8372', 'aut_centralizer_order': None, 'aut_label': '1728.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['576.a1.a1', '576.b1.a1', '576.c1.a1', '864.a1.a1', '864.b1.a1', '864.c1.a1', '864.c1.b1'], 'contains': [], 'core': '1728.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1581, 3098, 966, 6098, 1719, 4103, 7986, 5533], 'generators': [], 'label': '1728.8372.1728.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1728.a1.a1', 'normal_contained_in': ['576.a1.a1', '576.b1.a1', '864.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1728.a1.a1', 'projective_image': '1728.8372', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1728.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 105601285
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '6.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '864.2571', 'aut_weyl_index': 8, 'centralizer': '72.c1.a1', 'complements': ['288.d1.a1', '288.f1.a1', '288.g1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.e1.a1', '12.h1.b1', '12.j1.a1', '18.k1.a1'], 'core': '6.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7435, 7485, 5820, 2087, 6221, 7285, 3800, 3777], 'generators': [1, 16, 864, 990, 12, 1080, 432], 'label': '1728.8372.6.f1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.f1.a1', 'normal_contained_in': ['2.e1.a1', '3.a1.a1'], 'normal_contains': ['12.e1.a1', '12.h1.b1', '12.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601286
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '6.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '864.2571', 'aut_weyl_index': 8, 'centralizer': '72.c1.a1', 'complements': ['288.d1.a1', '288.f1.a1', '288.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.b1', '3.a1.a1'], 'contains': ['12.e1.b1', '12.h1.a1', '12.j1.a1', '18.k1.b1'], 'core': '6.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7435, 7485, 6195, 1658, 6221, 7285, 4129, 4082], 'generators': [27, 16, 864, 108, 12, 216, 432], 'label': '1728.8372.6.f1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.f1.b1', 'normal_contained_in': ['2.e1.b1', '3.a1.a1'], 'normal_contains': ['12.e1.b1', '12.h1.a1', '12.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.f1.b1', 'projective_image': '216.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.f1.b1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601287
    {'ambient': '1728.8372', 'aut_centralizer_order': 18, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20156', 'aut_weyl_index': 18, 'centralizer': '8.e1.a1', 'complements': ['864.c1.a1', '864.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.f1.a1', '4.f1.b1', '6.b1.a1', '6.c1.a1', '6.i1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6094, 8745, 7011, 1100, 5764, 8420, 3374, 1397], 'generators': [18, 216, 12, 108, 576, 864, 432, 28], 'label': '1728.8372.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.f1.b1', '4.f1.a1', '6.b1.a1', '6.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 105601288
    {'ambient': '1728.8372', 'aut_centralizer_order': 6, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 18, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.b1.a1'], 'contains': ['12.b1.a1', '12.k1.a1', '12.l1.a1', '12.n1.a1', '12.n1.b1', '12.o1.a1', '12.o1.b1', '18.c1.a1', '18.d1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6426, -1, 5574, -1, 5170, -1, 5025, -1], 'generators': [1, 864, 432, 18, 12, 216, 576], 'label': '1728.8372.6.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.g1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601289
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '192.1511', 'aut_weyl_index': 36, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.b1.a1'], 'contains': ['12.b1.a1', '12.p1.a1', '12.q1.a1', '18.e1.a1', '18.f1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8799, -1, 7643, -1, 8533, -1, 2829, -1], 'generators': [109, 864, 432, 18, 12, 576, 216], 'label': '1728.8372.6.h1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.h1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601290
    {'ambient': '1728.8372', 'aut_centralizer_order': 18, 'aut_label': '6.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '192.1533', 'aut_weyl_index': 36, 'centralizer': '8.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['12.m1.a1', '12.r1.a1', '12.r1.b1', '18.b1.a1'], 'core': '18.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5283, -1, 7106, -1, 5451, -1, 3042, -1], 'generators': [18, 432, 12, 108, 864, 604, 216], 'label': '1728.8372.6.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '6.i1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601291
    {'ambient': '1728.8372', 'aut_centralizer_order': 6, 'aut_label': '6.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '192.1511', 'aut_weyl_index': 36, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.b1.a1'], 'contains': ['12.g1.a1', '12.n1.a1', '12.p1.a1', '18.h1.a1', '18.j1.a1'], 'core': '12.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7638, -1, 8461, -1, 8292, -1, 2648, -1], 'generators': [1, 864, 432, 108, 12, 576, 216], 'label': '1728.8372.6.j1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.j1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.j1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601292
    {'ambient': '1728.8372', 'aut_centralizer_order': 6, 'aut_label': '6.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '192.1511', 'aut_weyl_index': 36, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '3.b1.a1'], 'contains': ['12.g1.b1', '12.n1.b1', '12.p1.a1', '18.h1.b1', '18.j1.b1'], 'core': '12.g1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7638, -1, 8170, -1, 8292, -1, 2273, -1], 'generators': [109, 864, 432, 990, 12, 576, 216], 'label': '1728.8372.6.j1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.j1.b1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.j1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601293
    {'ambient': '1728.8372', 'aut_centralizer_order': 6, 'aut_label': '6.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '192.1511', 'aut_weyl_index': 36, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.b1.a1'], 'contains': ['12.g1.b1', '12.n1.a1', '12.q1.a1', '18.i1.a1', '18.k1.a1'], 'core': '12.g1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8319, -1, 7441, -1, 8051, -1, 1893, -1], 'generators': [1, 864, 432, 990, 12, 576, 1080], 'label': '1728.8372.6.k1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.k1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.k1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601294
    {'ambient': '1728.8372', 'aut_centralizer_order': 6, 'aut_label': '6.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '192.1511', 'aut_weyl_index': 36, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.b1', '3.b1.a1'], 'contains': ['12.g1.a1', '12.n1.b1', '12.q1.a1', '18.i1.b1', '18.k1.b1'], 'core': '12.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8319, -1, 7934, -1, 8051, -1, 2091, -1], 'generators': [27, 864, 432, 108, 12, 576, 216], 'label': '1728.8372.6.k1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.k1.b1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.k1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601295
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '432.559', 'aut_weyl_index': 16, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.e1.b1', '24.a1.a1', '24.l1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1160, 643, 1163, 9582, 875, 765, 8858, 9024], 'generators': [1, 12, 16, 18, 576, 864], 'label': '1728.8372.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.e1.b1', '24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601296
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '432.559', 'aut_weyl_index': 16, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.b1.b1', '16.e1.a1', '24.a1.b1', '24.l1.b1'], 'core': '8.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1160, 643, 1652, 8301, 875, 765, 9085, 9423], 'generators': [433, 12, 16, 18, 576, 864], 'label': '1728.8372.8.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.b1', '16.e1.a1', '24.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.b1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.b1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601297
    {'ambient': '1728.8372', 'aut_centralizer_order': 144, 'aut_label': '8.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '48.52', 'aut_weyl_index': 144, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.c1.a1', '16.d1.a1', '24.b1.a1', '24.c1.a1', '24.m1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2675, 3209, 2711, 6823, 2363, 2775, 7445, 7117], 'generators': [18, 12, 864, 432, 28, 576], 'label': '1728.8372.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.d1.a1', '24.b1.a1', '24.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '144.38', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601298
    {'ambient': '1728.8372', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1728.30967', 'aut_weyl_index': 4, 'centralizer': '36.a1.a1', 'complements': ['864.c1.a1', '864.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.g1.a1', '4.h1.a1', '6.d1.a1', '6.h1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7722, 6482, 6062, 3347, 6911, 5903, 4638, 3542], 'generators': [109, 432, 864, 18, 216, 12, 16, 576], 'label': '1728.8372.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.g1.a1', '4.h1.a1', '6.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601299
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '8.c1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '432.559', 'aut_weyl_index': 16, 'centralizer': '36.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.b1.a1', '16.c1.a1', '16.e1.a1', '24.d1.a1', '24.n1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2904, 1802, 2895, 7345, 2584, 2255, 7780, 7509], 'generators': [1, 12, 16, 432, 576, 864], 'label': '1728.8372.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'normal_contains': ['16.b1.a1', '16.c1.a1', '16.e1.a1', '24.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601329
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.230', 'aut_weyl_index': 72, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '6.g1.a1', '6.j1.b1', '6.k1.b1'], 'contains': ['24.f1.a1', '24.n1.b1', '24.p1.b1', '36.j1.b1', '36.l1.b1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6710, -1, 5947, -1, 5751, -1, 4588, -1], 'generators': [27, 12, 864, 216, 576, 432], 'label': '1728.8372.12.n1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.n1.b1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601300
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '8.c1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '432.559', 'aut_weyl_index': 16, 'centralizer': '36.c1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.b1', '4.e1.b1'], 'contains': ['16.b1.b1', '16.c1.a1', '16.e1.b1', '24.d1.b1', '24.n1.b1'], 'core': '8.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2904, 1802, 2303, 8729, 2584, 2255, 7612, 8235], 'generators': [27, 12, 16, 432, 576, 864], 'label': '1728.8372.8.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': ['4.a1.a1', '4.d1.b1', '4.e1.b1'], 'normal_contains': ['16.b1.b1', '16.c1.a1', '16.e1.b1', '24.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.b1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601301
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '8.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '864.2583', 'aut_weyl_index': 8, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.b1.a1', '16.b1.b1', '16.d1.a1', '24.e1.a1', '24.o1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1409, 2506, 1467, 9153, 1134, 1735, 9310, 8627], 'generators': [1, 12, 16, 450, 576, 864], 'label': '1728.8372.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.b1.b1', '16.b1.a1', '16.d1.a1', '24.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601302
    {'ambient': '1728.8372', 'aut_centralizer_order': 144, 'aut_label': '8.e1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '48.52', 'aut_weyl_index': 144, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.d1.b1', '4.f1.a1', '4.f1.b1', '4.g1.a1', '4.h1.a1'], 'contains': ['16.c1.a1', '24.f1.a1', '24.h1.a1', '24.r1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5765, 5988, 5273, 3941, 5310, 6233, 5043, 3499], 'generators': [216, 864, 12, 28, 576, 432], 'label': '1728.8372.8.e1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.b1.a1', '4.d1.b1', '4.d1.a1', '4.f1.b1', '4.f1.a1', '4.g1.a1', '4.h1.a1'], 'normal_contains': ['16.c1.a1', '24.f1.a1', '24.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601303
    {'ambient': '1728.8372', 'aut_centralizer_order': 144, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '48.52', 'aut_weyl_index': 144, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.e1.a1', '4.e1.b1'], 'contains': ['16.c1.a1', '24.g1.a1', '24.i1.a1', '24.s1.a1'], 'core': '8.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4086, 5152, 4214, 4659, 3696, 4766, 6312, 4933], 'generators': [234, 864, 12, 28, 576, 432], 'label': '1728.8372.8.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1.a1', 'normal_contained_in': ['4.b1.a1', '4.e1.b1', '4.e1.a1'], 'normal_contains': ['16.c1.a1', '24.g1.a1', '24.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '144.38', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601304
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '8.g1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '432.559', 'aut_weyl_index': 16, 'centralizer': '36.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.e1.b1'], 'contains': ['16.c1.a1', '24.j1.a1', '24.p1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3362, 3915, 3845, 5773, 3312, 3865, 6602, 5612], 'generators': [217, 12, 16, 576, 432, 864], 'label': '1728.8372.8.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1.a1', 'normal_contained_in': ['4.c1.a1', '4.d1.a1', '4.e1.b1'], 'normal_contains': ['16.c1.a1', '24.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.g1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601305
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '8.g1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '432.559', 'aut_weyl_index': 16, 'centralizer': '36.c1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.b1', '4.e1.a1'], 'contains': ['16.c1.a1', '24.j1.b1', '24.p1.b1'], 'core': '8.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3362, 3915, 3632, 6398, 3312, 3865, 6895, 6723], 'generators': [1107, 12, 16, 576, 1296, 864], 'label': '1728.8372.8.g1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1.b1', 'normal_contained_in': ['4.c1.a1', '4.d1.b1', '4.e1.a1'], 'normal_contains': ['16.c1.a1', '24.j1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.g1.b1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601306
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '8.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '864.2583', 'aut_weyl_index': 8, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.d1.a1', '16.e1.a1', '16.e1.b1', '24.k1.a1', '24.q1.a1'], 'core': '8.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1938, 1224, 2475, 7870, 1533, 236, 8575, 9822], 'generators': [433, 12, 16, 450, 576, 864], 'label': '1728.8372.8.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.h1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.d1.a1', '16.e1.a1', '16.e1.b1', '24.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.h1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601307
    {'ambient': '1728.8372', 'aut_centralizer_order': 6, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 54, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.a1'], 'contains': ['18.a1.a1', '18.c1.a1', '18.e1.a1', '18.h1.a1', '18.h1.b1', '18.i1.a1', '18.i1.b1', '27.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9535, -1, 8736, -1, 9175, -1, 1125, -1], 'generators': [1, 432, 216, 18, 864, 108, 576], 'label': '1728.8372.9.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '9.a1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601308
    {'ambient': '1728.8372', 'aut_centralizer_order': 6, 'aut_label': '9.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 18, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '3.b1.a1'], 'contains': ['18.b1.a1', '18.d1.a1', '18.f1.a1', '18.j1.a1', '18.j1.b1', '18.k1.a1', '18.k1.b1', '27.a1.a1'], 'core': '18.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8416, -1, 7728, -1, 7453, -1, 2461, -1], 'generators': [1, 864, 432, 18, 12, 108, 216], 'label': '1728.8372.9.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '9.b1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601309
    {'ambient': '1728.8372', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1728.30967', 'aut_weyl_index': 4, 'centralizer': '36.c1.a1', 'complements': ['864.b1.a1', '864.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.f1.a1', '4.g1.a1', '6.e1.a1', '6.j1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6906, 7941, 6770, 2885, 6620, 7688, 4455, 2109], 'generators': [1, 432, 864, 108, 216, 12, 16, 576], 'label': '1728.8372.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.f1.a1', '4.g1.a1', '6.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601310
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '864.2583', 'aut_weyl_index': 8, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.a1.b1', '24.c1.a1', '24.d1.a1', '24.d1.b1', '24.e1.a1', '24.k1.a1', '36.f1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2151, 2154, 2167, 7612, 2157, 1254, 7936, 7872], 'generators': [1, 12, 16, 18, 432, 864], 'label': '1728.8372.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.b1', '24.a1.a1', '24.c1.a1', '24.d1.b1', '24.d1.a1', '24.e1.a1', '24.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601311
    {'ambient': '1728.8372', 'aut_centralizer_order': 216, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.51', 'aut_weyl_index': 216, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.a1', '6.g1.a1', '6.h1.a1'], 'contains': ['24.b1.a1', '24.f1.a1', '24.g1.a1', '36.a1.a1', '36.b1.a1', '36.i1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6429, 7888, 6801, 1878, 5531, 7504, 3997, 2541], 'generators': [18, 864, 432, 216, 12, 576], 'label': '1728.8372.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.b1.a1'], 'normal_contains': ['24.b1.a1', '24.f1.a1', '24.g1.a1', '36.a1.a1', '36.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '72.17', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601312
    {'ambient': '1728.8372', 'aut_centralizer_order': 144, 'aut_label': '12.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '48.52', 'aut_weyl_index': 144, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.c1.a1', '6.d1.a1'], 'contains': ['24.c1.a1', '24.h1.a1', '24.i1.a1', '36.b1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4936, 6224, 4577, 3363, 4743, 5716, 5209, 3889], 'generators': [18, 864, 12, 216, 28, 432], 'label': '1728.8372.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1', '6.c1.a1', '6.d1.a1'], 'normal_contains': ['24.c1.a1', '24.h1.a1', '24.i1.a1', '36.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '216.108', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601313
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '864.2583', 'aut_weyl_index': 8, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1'], 'contains': ['24.c1.a1', '24.j1.a1', '24.j1.b1', '36.h1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3407, 3672, 3639, 5220, 3078, 3317, 7072, 6025], 'generators': [217, 12, 16, 18, 432, 864], 'label': '1728.8372.12.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.d1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1'], 'normal_contains': ['24.c1.a1', '24.j1.b1', '24.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601314
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '432.559', 'aut_weyl_index': 16, 'centralizer': '36.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.a1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.d1.a1', '24.h1.a1', '24.j1.a1', '36.l1.a1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5282, 5434, 4421, 3851, 4946, 5241, 5363, 4247], 'generators': [1, 12, 16, 216, 432, 864], 'label': '1728.8372.12.e1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.e1.a1', 'normal_contained_in': ['4.d1.a1', '6.a1.a1', '6.e1.a1', '6.f1.a1'], 'normal_contains': ['24.d1.a1', '24.h1.a1', '24.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601315
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '432.559', 'aut_weyl_index': 16, 'centralizer': '36.c1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '6.a1.a1', '6.e1.b1', '6.f1.b1'], 'contains': ['24.d1.b1', '24.h1.a1', '24.j1.b1', '36.l1.b1'], 'core': '12.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5282, 5434, 4279, 4306, 4946, 5241, 5503, 4575], 'generators': [27, 12, 16, 216, 432, 864], 'label': '1728.8372.12.e1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.e1.b1', 'normal_contained_in': ['4.d1.b1', '6.a1.a1', '6.e1.b1', '6.f1.b1'], 'normal_contains': ['24.d1.b1', '24.h1.a1', '24.j1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.e1.b1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601316
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '12.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '432.559', 'aut_weyl_index': 16, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.a1.a1'], 'contains': ['24.d1.a1', '24.i1.a1', '24.j1.b1', '36.m1.a1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3722, 4720, 3873, 5604, 3506, 4319, 6749, 6381], 'generators': [1, 12, 16, 234, 432, 864], 'label': '1728.8372.12.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.f1.a1', 'normal_contained_in': ['4.e1.a1', '6.a1.a1'], 'normal_contains': ['24.d1.a1', '24.i1.a1', '24.j1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601317
    {'ambient': '1728.8372', 'aut_centralizer_order': 8, 'aut_label': '12.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '432.559', 'aut_weyl_index': 16, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '6.a1.a1'], 'contains': ['24.d1.b1', '24.i1.a1', '24.j1.a1', '36.m1.b1'], 'core': '12.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3722, 4720, 4026, 4737, 3506, 4319, 6456, 5270], 'generators': [217, 12, 16, 234, 432, 864], 'label': '1728.8372.12.f1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.f1.b1', 'normal_contained_in': ['4.e1.b1', '6.a1.a1'], 'normal_contains': ['24.d1.b1', '24.i1.a1', '24.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.f1.b1', 'projective_image': '432.342', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.b1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601318
    {'ambient': '1728.8372', 'aut_centralizer_order': 108, 'aut_label': '12.g1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 216, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.b1.a1', '6.j1.a1', '6.k1.b1'], 'contains': ['24.f1.a1', '36.c1.a1', '36.d1.a1', '36.r1.a1'], 'core': '12.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7371, 9257, 9184, 478, 8144, 9032, 1792, 766], 'generators': [108, 864, 432, 12, 576, 216], 'label': '1728.8372.12.g1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.g1.a1', 'normal_contained_in': ['4.f1.a1', '6.b1.a1'], 'normal_contains': ['24.f1.a1', '36.c1.a1', '36.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.g1.a1', 'projective_image': '72.17', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601319
    {'ambient': '1728.8372', 'aut_centralizer_order': 108, 'aut_label': '12.g1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 216, 'centralizer': '4.f1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '6.b1.a1', '6.j1.b1', '6.k1.a1'], 'contains': ['24.f1.a1', '36.c1.b1', '36.d1.b1', '36.r1.b1'], 'core': '12.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7371, 9257, 8358, 1000, 8144, 9032, 1459, 1688], 'generators': [990, 864, 432, 12, 576, 1080], 'label': '1728.8372.12.g1.b1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.g1.b1', 'normal_contained_in': ['4.f1.b1', '6.b1.a1'], 'normal_contains': ['24.f1.a1', '36.c1.b1', '36.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.g1.b1', 'projective_image': '72.17', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.g1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601320
    {'ambient': '1728.8372', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1728.30967', 'aut_weyl_index': 4, 'centralizer': '36.c1.b1', 'complements': ['864.b1.a1', '864.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.b1', '4.f1.b1', '4.g1.a1', '6.e1.b1', '6.j1.b1'], 'core': '2.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6906, 7941, 6561, 3905, 6620, 7688, 4063, 2591], 'generators': [109, 432, 864, 990, 216, 12, 16, 576], 'label': '1728.8372.2.d1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.b1', '4.f1.b1', '4.g1.a1', '6.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.b1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601321
    {'ambient': '1728.8372', 'aut_centralizer_order': 72, 'aut_label': '12.h1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '48.44', 'aut_weyl_index': 144, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.c1.a1', '6.e1.a1', '6.f1.b1'], 'contains': ['24.h1.a1', '36.d1.a1'], 'core': '12.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6192, 8342, 6565, 1542, 6401, 7916, 3621, 1999], 'generators': [108, 864, 432, 28, 216, 12], 'label': '1728.8372.12.h1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.h1.a1', 'normal_contained_in': ['4.f1.a1', '6.c1.a1', '6.e1.a1', '6.f1.b1'], 'normal_contains': ['24.h1.a1', '36.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.h1.a1', 'projective_image': '216.108', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601322
    {'ambient': '1728.8372', 'aut_centralizer_order': 72, 'aut_label': '12.h1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '48.44', 'aut_weyl_index': 144, 'centralizer': '4.f1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '6.c1.a1', '6.e1.b1', '6.f1.a1'], 'contains': ['24.h1.a1', '36.d1.b1'], 'core': '12.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6192, 8342, 6340, 2214, 6401, 7916, 3522, 2231], 'generators': [990, 864, 432, 28, 1080, 12], 'label': '1728.8372.12.h1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.h1.b1', 'normal_contained_in': ['4.f1.b1', '6.c1.a1', '6.e1.b1', '6.f1.a1'], 'normal_contains': ['24.h1.a1', '36.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.h1.b1', 'projective_image': '216.108', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.h1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601323
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '12.i1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '432.353', 'aut_weyl_index': 16, 'centralizer': '18.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.d1.a1', '6.e1.a1', '6.e1.b1'], 'contains': ['24.h1.a1', '36.p1.a1'], 'core': '12.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7173, 7398, 6452, 2800, 6708, 7057, 3853, 2878], 'generators': [109, 12, 16, 216, 432, 864], 'label': '1728.8372.12.i1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.i1.a1', 'normal_contained_in': ['4.g1.a1', '6.d1.a1', '6.e1.b1', '6.e1.a1'], 'normal_contains': ['24.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.i1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 105601324
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '12.j1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '432.353', 'aut_weyl_index': 16, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.d1.a1', '6.f1.a1', '6.f1.b1'], 'contains': ['24.h1.a1', '36.q1.a1'], 'core': '12.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8054, 6983, 5800, 2493, 6547, 6680, 3731, 3162], 'generators': [135, 12, 16, 216, 432, 864], 'label': '1728.8372.12.j1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.j1.a1', 'normal_contained_in': ['4.h1.a1', '6.d1.a1', '6.f1.b1', '6.f1.a1'], 'normal_contains': ['24.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.j1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601325
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 36, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.g1.a1'], 'contains': ['24.b1.a1', '24.l1.a1', '24.l1.b1', '24.n1.a1', '24.n1.b1', '24.o1.a1', '24.q1.a1', '36.e1.a1', '36.f1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3995, -1, 3366, -1, 2827, -1, 7262, -1], 'generators': [1, 12, 864, 18, 432, 576], 'label': '1728.8372.12.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.k1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601326
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 36, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.g1.a1'], 'contains': ['24.b1.a1', '24.p1.a1', '24.p1.b1', '36.g1.a1', '36.h1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4537, -1, 4834, -1, 3978, -1, 6100, -1], 'generators': [217, 12, 864, 18, 576, 432], 'label': '1728.8372.12.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.l1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601327
    {'ambient': '1728.8372', 'aut_centralizer_order': 72, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '48.52', 'aut_weyl_index': 144, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.i1.a1'], 'contains': ['24.m1.a1', '24.r1.a1', '24.s1.a1', '36.b1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4246, -1, 5130, -1, 4523, -1, 4876, -1], 'generators': [18, 864, 12, 216, 604, 432], 'label': '1728.8372.12.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.m1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601328
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.230', 'aut_weyl_index': 72, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.g1.a1', '6.j1.a1', '6.k1.a1'], 'contains': ['24.f1.a1', '24.n1.a1', '24.p1.a1', '36.j1.a1', '36.l1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6710, -1, 6125, -1, 5751, -1, 4422, -1], 'generators': [1, 12, 864, 216, 576, 432], 'label': '1728.8372.12.n1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.n1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601330
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.230', 'aut_weyl_index': 72, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.g1.a1'], 'contains': ['24.g1.a1', '24.n1.a1', '24.p1.b1', '36.k1.a1', '36.m1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5567, -1, 5316, -1, 4281, -1, 5871, -1], 'generators': [1, 12, 864, 234, 576, 432], 'label': '1728.8372.12.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.o1.a1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601331
    {'ambient': '1728.8372', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1728.30967', 'aut_weyl_index': 4, 'centralizer': '72.c1.a1', 'complements': ['864.b1.a1', '864.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.f1.b1', '4.h1.a1', '6.f1.a1', '6.k1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7433, 7171, 5857, 2410, 6371, 6531, 3630, 4015], 'generators': [1, 432, 864, 990, 1080, 12, 16, 576], 'label': '1728.8372.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.f1.b1', '4.h1.a1', '6.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601332
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.230', 'aut_weyl_index': 72, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '6.g1.a1'], 'contains': ['24.g1.a1', '24.n1.b1', '24.p1.a1', '36.k1.b1', '36.m1.b1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5567, -1, 5558, -1, 4281, -1, 5672, -1], 'generators': [217, 12, 864, 234, 576, 432], 'label': '1728.8372.12.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.o1.b1', 'projective_image': '144.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601333
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.206', 'aut_weyl_index': 72, 'centralizer': '18.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.h1.a1', '6.j1.a1', '6.j1.b1'], 'contains': ['24.f1.a1', '36.n1.a1', '36.p1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7675, -1, 8172, -1, 8649, -1, 2977, -1], 'generators': [109, 12, 864, 576, 216, 432], 'label': '1728.8372.12.p1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.p1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 105601334
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.206', 'aut_weyl_index': 72, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.h1.a1', '6.k1.a1', '6.k1.b1'], 'contains': ['24.f1.a1', '36.o1.a1', '36.q1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8799, -1, 7246, -1, 8386, -1, 2325, -1], 'generators': [135, 12, 864, 576, 216, 432], 'label': '1728.8372.12.q1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.q1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601335
    {'ambient': '1728.8372', 'aut_centralizer_order': 36, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 144, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.i1.a1'], 'contains': ['24.r1.a1', '36.d1.a1'], 'core': '36.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5118, -1, 7095, -1, 6269, -1, 3422, -1], 'generators': [108, 864, 432, 604, 216, 12], 'label': '1728.8372.12.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601336
    {'ambient': '1728.8372', 'aut_centralizer_order': 36, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 144, 'centralizer': '4.f1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '6.i1.a1'], 'contains': ['24.r1.a1', '36.d1.b1'], 'core': '36.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5118, -1, 6666, -1, 6269, -1, 3323, -1], 'generators': [990, 864, 432, 604, 1080, 12], 'label': '1728.8372.12.r1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.b1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601337
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 288, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.a1.b1', '8.b1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '48.a1.a1', '48.b1.a1', '48.i1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [771, 2108, 921, 7054, 482, 2756, 9208, 7996], 'generators': [18, 12, 864, 28, 576], 'label': '1728.8372.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.b1', '8.a1.a1', '8.b1.a1'], 'normal_contains': ['32.a1.a1', '48.a1.a1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '288.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601338
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '16.b1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '216.111', 'aut_weyl_index': 32, 'centralizer': '36.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.c1.a1', '8.d1.a1'], 'contains': ['32.a1.a1', '32.c1.a1', '48.c1.a1', '48.j1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [560, 789, 505, 9737, 685, 1764, 9547, 7638], 'generators': [1, 12, 864, 576, 16], 'label': '1728.8372.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.a1', '8.d1.a1'], 'normal_contains': ['32.a1.a1', '48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601339
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '16.b1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '216.111', 'aut_weyl_index': 32, 'centralizer': '36.c1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '8.c1.b1', '8.d1.a1'], 'contains': ['32.a1.a1', '32.c1.b1', '48.c1.b1', '48.j1.b1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [560, 789, 765, 8951, 685, 1764, 9687, 8797], 'generators': [1323, 12, 864, 576, 16], 'label': '1728.8372.16.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': ['8.a1.b1', '8.c1.b1', '8.d1.a1'], 'normal_contains': ['32.a1.a1', '48.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.b1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601340
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '16.c1', 'aut_quo_index': 48, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 288, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.c1.a1', '8.c1.b1', '8.e1.a1', '8.f1.a1', '8.g1.a1', '8.g1.b1'], 'contains': ['32.a1.a1', '48.d1.a1', '48.f1.a1', '48.l1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3044, 4309, 2895, 6010, 3169, 4224, 6928, 5633], 'generators': [432, 12, 28, 576, 864], 'label': '1728.8372.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.b1.a1', '8.c1.b1', '8.c1.a1', '8.e1.a1', '8.f1.a1', '8.g1.b1', '8.g1.a1'], 'normal_contains': ['32.a1.a1', '48.d1.a1', '48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '144.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601341
    {'ambient': '1728.8372', 'aut_centralizer_order': 288, 'aut_label': '16.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 288, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.d1.a1', '8.h1.a1'], 'contains': ['32.a1.a1', '48.e1.a1', '48.g1.a1', '48.m1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1486, 3076, 1758, 6532, 1134, 2239, 8510, 7067], 'generators': [450, 12, 28, 576, 864], 'label': '1728.8372.16.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.b1.a1', '8.d1.a1', '8.h1.a1'], 'normal_contains': ['32.a1.a1', '48.e1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '288.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601342
    {'ambient': '1728.8372', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1728.30967', 'aut_weyl_index': 4, 'centralizer': '72.c1.a1', 'complements': ['864.b1.a1', '864.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.b1', '4.f1.a1', '4.h1.a1', '6.f1.b1', '6.k1.b1'], 'core': '2.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7433, 7171, 6268, 1790, 6371, 6531, 3837, 4501], 'generators': [27, 432, 864, 108, 216, 12, 16, 576], 'label': '1728.8372.2.e1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.b1', '4.f1.a1', '4.h1.a1', '6.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.b1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.b1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601343
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '16.e1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '216.111', 'aut_weyl_index': 32, 'centralizer': '36.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '8.c1.a1', '8.h1.a1'], 'contains': ['32.a1.a1', '48.h1.a1', '48.k1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1717, 259, 2484, 8363, 1358, 705, 8945, 9559], 'generators': [433, 12, 576, 864, 16], 'label': '1728.8372.16.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1.a1', 'normal_contained_in': ['8.a1.b1', '8.c1.a1', '8.h1.a1'], 'normal_contains': ['32.a1.a1', '48.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.a1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601344
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '16.e1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '216.111', 'aut_weyl_index': 32, 'centralizer': '36.c1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.c1.b1', '8.h1.a1'], 'contains': ['32.a1.a1', '48.h1.b1', '48.k1.b1'], 'core': '16.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1717, 259, 1508, 9344, 1358, 705, 8774, 9160], 'generators': [27, 12, 576, 864, 16], 'label': '1728.8372.16.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1.b1', 'normal_contained_in': ['8.a1.a1', '8.c1.b1', '8.h1.a1'], 'normal_contains': ['32.a1.a1', '48.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.b1', 'projective_image': '288.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 105601345
    {'ambient': '1728.8372', 'aut_centralizer_order': 108, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.263', 'aut_weyl_index': 108, 'centralizer': '4.g1.a1', 'complements': ['96.h1.a1', '96.h1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.c1.a1', '36.c1.b1', '54.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8348, 9640, 9418, 263, 8930, 9644, 331, 305], 'generators': [18, 864, 432, 108, 576, 216], 'label': '1728.8372.18.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': ['6.b1.a1'], 'normal_contains': ['36.a1.a1', '36.c1.b1', '36.c1.a1', '54.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '72.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.1', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601346
    {'ambient': '1728.8372', 'aut_centralizer_order': 108, 'aut_label': '18.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.263', 'aut_weyl_index': 108, 'centralizer': '8.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '6.c1.a1', '6.i1.a1', '9.b1.a1'], 'contains': ['36.b1.a1', '36.d1.a1', '36.d1.b1', '54.a1.a1'], 'core': '18.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6399, 8602, 7899, 1322, 6939, 8420, 1989, 1227], 'generators': [18, 864, 432, 108, 12, 216], 'label': '1728.8372.18.b1.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.b1.a1', 'normal_contained_in': ['6.b1.a1', '6.c1.a1'], 'normal_contains': ['36.b1.a1', '36.d1.b1', '36.d1.a1', '54.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.b1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 105601347
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '64.261', 'aut_weyl_index': 108, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.e1.a1', '36.g1.a1', '36.j1.a1', '36.j1.b1', '36.k1.a1', '36.k1.b1', '54.b1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7576, -1, 6321, -1, 6033, -1, 4209, -1], 'generators': [1, 864, 432, 18, 216, 576], 'label': '1728.8372.18.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.c1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601348
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 36, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.g1.a1', '9.b1.a1'], 'contains': ['36.b1.a1', '36.f1.a1', '36.h1.a1', '36.l1.a1', '36.l1.b1', '36.m1.a1', '36.m1.b1', '54.b1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6001, -1, 5573, -1, 5120, -1, 4732, -1], 'generators': [1, 12, 864, 18, 216, 432], 'label': '1728.8372.18.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.d1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601349
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '32.45', 'aut_weyl_index': 216, 'centralizer': '18.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.n1.a1', '36.o1.a1', '54.c1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9916, -1, 8697, -1, 9902, -1, 1625, -1], 'generators': [109, 864, 432, 18, 576, 216], 'label': '1728.8372.18.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.e1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601350
    {'ambient': '1728.8372', 'aut_centralizer_order': 24, 'aut_label': '18.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.206', 'aut_weyl_index': 72, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '6.h1.a1', '9.b1.a1'], 'contains': ['36.b1.a1', '36.p1.a1', '36.q1.a1', '54.c1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9142, -1, 7231, -1, 7602, -1, 3175, -1], 'generators': [109, 12, 864, 18, 216, 432], 'label': '1728.8372.18.f1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.f1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601351
    {'ambient': '1728.8372', 'aut_centralizer_order': 54, 'aut_label': '18.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.263', 'aut_weyl_index': 108, 'centralizer': '8.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1'], 'contains': ['36.i1.a1', '36.r1.a1', '36.r1.b1', '54.a1.a1'], 'core': '54.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6763, -1, 9938, -1, 7883, -1, 104, -1], 'generators': [18, 864, 432, 108, 588, 216], 'label': '1728.8372.18.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '18.g1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601352
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '18.h1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '32.45', 'aut_weyl_index': 216, 'centralizer': '18.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.j1.a1', '9.a1.a1'], 'contains': ['36.c1.a1', '36.j1.a1', '36.n1.a1', '54.d1.a1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8838, -1, 9618, -1, 9681, -1, 1292, -1], 'generators': [1, 864, 432, 108, 576, 216], 'label': '1728.8372.18.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.h1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601353
    {'ambient': '1728.8372', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '72.c1.a1', 'complements': ['576.a1.a1', '576.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.c1.a1', '6.d1.a1', '6.e1.a1', '6.e1.b1', '6.f1.a1', '6.f1.b1', '9.b1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7179, 7770, 6247, 2307, 6111, 7140, 4278, 3093], 'generators': [1, 432, 864, 18, 216, 12, 16, 108], 'label': '1728.8372.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.c1.a1', '6.d1.a1', '6.e1.b1', '6.e1.a1', '6.f1.b1', '6.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '216.108', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601354
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '18.h1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '32.45', 'aut_weyl_index': 216, 'centralizer': '18.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.j1.b1', '9.a1.a1'], 'contains': ['36.c1.b1', '36.j1.b1', '36.n1.a1', '54.d1.b1'], 'core': '36.c1.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [8838, -1, 9178, -1, 9681, -1, 1125, -1], 'generators': [109, 864, 432, 990, 576, 216], 'label': '1728.8372.18.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.h1.b1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 105601355
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '18.i1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '32.45', 'aut_weyl_index': 216, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.k1.a1', '9.a1.a1'], 'contains': ['36.c1.b1', '36.j1.a1', '36.o1.a1', '54.e1.a1'], 'core': '36.c1.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [9539, -1, 8418, -1, 9420, -1, 558, -1], 'generators': [1, 864, 432, 990, 576, 1080], 'label': '1728.8372.18.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.i1.a1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601356
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '18.i1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '32.45', 'aut_weyl_index': 216, 'centralizer': '36.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.k1.b1', '9.a1.a1'], 'contains': ['36.c1.a1', '36.j1.b1', '36.o1.a1', '54.e1.b1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9539, -1, 8937, -1, 9420, -1, 785, -1], 'generators': [27, 864, 432, 108, 576, 216], 'label': '1728.8372.18.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.i1.b1', 'projective_image': '72.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.i1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 105601357
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '18.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.206', 'aut_weyl_index': 72, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '6.j1.a1', '9.b1.a1'], 'contains': ['36.d1.a1', '36.l1.a1', '36.p1.a1', '54.d1.a1'], 'core': '36.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8026, -1, 8217, -1, 7361, -1, 2795, -1], 'generators': [1, 12, 864, 108, 216, 432], 'label': '1728.8372.18.j1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.j1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.j1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601358
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '18.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.206', 'aut_weyl_index': 72, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.b1', '6.j1.b1', '9.b1.a1'], 'contains': ['36.d1.b1', '36.l1.b1', '36.p1.a1', '54.d1.b1'], 'core': '36.d1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8026, -1, 7541, -1, 7361, -1, 2629, -1], 'generators': [109, 12, 864, 990, 216, 432], 'label': '1728.8372.18.j1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.j1.b1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.j1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 105601359
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '18.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.206', 'aut_weyl_index': 72, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '6.k1.a1', '9.b1.a1'], 'contains': ['36.d1.b1', '36.l1.a1', '36.q1.a1', '54.e1.a1'], 'core': '36.d1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8641, -1, 7029, -1, 7170, -1, 2164, -1], 'generators': [1, 12, 864, 990, 1080, 432], 'label': '1728.8372.18.k1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.k1.a1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.k1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601360
    {'ambient': '1728.8372', 'aut_centralizer_order': 12, 'aut_label': '18.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.206', 'aut_weyl_index': 72, 'centralizer': '72.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.b1', '6.k1.b1', '9.b1.a1'], 'contains': ['36.d1.a1', '36.l1.b1', '36.q1.a1', '54.e1.b1'], 'core': '36.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8641, -1, 7394, -1, 7170, -1, 2485, -1], 'generators': [27, 12, 864, 108, 216, 432], 'label': '1728.8372.18.k1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.k1.b1', 'projective_image': '216.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.k1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 105601361
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '216.111', 'aut_weyl_index': 32, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1'], 'contains': ['48.b1.a1', '48.c1.a1', '48.h1.b1', '72.h1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1075, 1360, 998, 9120, 841, 1117, 9077, 8302], 'generators': [1, 12, 18, 864, 16], 'label': '1728.8372.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.b1.a1', '48.c1.a1', '48.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601362
    {'ambient': '1728.8372', 'aut_centralizer_order': 16, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '216.111', 'aut_weyl_index': 32, 'centralizer': '72.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '12.a1.a1'], 'contains': ['48.b1.a1', '48.c1.b1', '48.h1.a1', '72.h1.b1'], 'core': '24.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1075, 1360, 1613, 7410, 841, 1117, 9339, 8522], 'generators': [433, 12, 18, 864, 16], 'label': '1728.8372.24.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.b1', 'normal_contained_in': ['8.a1.b1', '12.a1.a1'], 'normal_contains': ['48.b1.a1', '48.c1.b1', '48.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.b1', 'projective_image': '864.1453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1.b1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 105601363
    {'ambient': '1728.8372', 'aut_centralizer_order': 432, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.b1.a1', '12.k1.a1', '12.l1.a1'], 'contains': ['48.a1.a1', '48.d1.a1', '48.e1.a1', '72.a1.a1', '72.b1.a1', '72.i1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4090, 5058, 3934, 4275, 3389, 5035, 6258, 4802], 'generators': [18, 864, 432, 12, 576], 'label': '1728.8372.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.b1.a1'], 'normal_contains': ['48.a1.a1', '48.d1.a1', '48.e1.a1', '72.a1.a1', '72.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '144.38', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}