Abstract group data - 1386.18

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• 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': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '66.4', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 210, 'aut_gen_orders': [30, 2, 10, 2], 'aut_gens': [[1, 6], [1123, 1032], [1, 1380], [925, 246], [199, 204]], 'aut_group': None, 'aut_hash': 3317119997537947070, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2520, 'aut_permdeg': 31, 'aut_perms': [5395356944279867249272237663280899, 813756468146751837573968501539852, 5865463124491633862015255964752876, 7859213418128926112425565356257032], 'aut_phi_ratio': 7.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 21, 1, 1], [3, 2, 1, 1], [3, 7, 1, 2], [3, 14, 1, 2], [6, 21, 1, 2], [7, 6, 1, 1], [11, 1, 10, 1], [21, 6, 2, 1], [22, 21, 10, 1], [33, 2, 10, 1], [33, 7, 10, 2], [33, 14, 10, 2], [66, 21, 10, 2], [77, 6, 10, 1], [231, 6, 20, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{10}\\times S_3\\times F_7', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 10, 'autcent_group': '10.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 10, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_{10}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': '252.26', 'autcentquo_hash': 26, 'autcentquo_nilpotent': False, 'autcentquo_order': 252, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_7', 'cc_stats': [[1, 1, 1], [2, 21, 1], [3, 2, 1], [3, 7, 2], [3, 14, 2], [6, 21, 2], [7, 6, 1], [11, 1, 10], [21, 6, 2], [22, 21, 10], [33, 2, 10], [33, 7, 20], [33, 14, 20], [66, 21, 20], [77, 6, 10], [231, 6, 20]], 'center_label': '11.1', 'center_order': 11, 'central_product': True, 'central_quotient': '126.9', 'commutator_count': 1, 'commutator_label': '21.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '7.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 18, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['11.1', 1], ['126.9', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 21, 1, 1], [3, 2, 1, 1], [3, 7, 2, 1], [3, 14, 2, 1], [6, 21, 2, 1], [7, 6, 1, 1], [11, 1, 10, 1], [21, 6, 2, 1], [22, 21, 10, 1], [33, 2, 10, 1], [33, 7, 20, 1], [33, 14, 20, 1], [66, 21, 20, 1], [77, 6, 10, 1], [231, 6, 20, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 288, 'exponent': 462, 'exponents_of_order': [2, 1, 1, 1], 'factors_of_aut_order': [2, 3, 5, 7], 'factors_of_order': [2, 3, 7, 11], 'faithful_reps': [[6, 0, 20]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1386.18', 'hash': 18, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 42, 'inner_gen_orders': [6, 21], 'inner_gens': [[1, 534], [859, 6]], 'inner_hash': 9, 'inner_nilpotent': False, 'inner_order': 126, 'inner_split': True, 'inner_tex': 'C_{21}:C_6', 'inner_used': [1, 2], 'irrC_degree': 6, 'irrQ_degree': 120, 'irrQ_dim': 120, 'irrR_degree': 12, 'irrep_stats': [[1, 66], [2, 33], [6, 33]], 'label': '1386.18', 'linC_count': 20, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 18, 'linQ_degree_count': 2, 'linQ_dim': 18, 'linQ_dim_count': 2, 'linR_count': 60, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C21:C66', 'ngens': 5, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 22, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 132, 'number_divisions': 16, 'number_normal_subgroups': 16, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 36, 'number_subgroups': 200, 'old_label': None, 'order': 1386, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 21], [3, 44], [6, 42], [7, 6], [11, 10], [21, 12], [22, 210], [33, 440], [66, 420], [77, 60], [231, 120]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 10, 'outer_gen_orders': [2, 10], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 258], [1, 426]], 'outer_group': '20.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 20, 'outer_permdeg': 9, 'outer_perms': [720, 40353], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{10}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 11], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [4, 1], [6, 1], [10, 2], [12, 1], [20, 3], [40, 1], [60, 1], [120, 1]], 'representations': {'PC': {'code': 487925245423907292645054101159, 'gens': [1, 3], 'pres': [5, -2, -3, -3, -7, -11, 10, 8012, 3022, 57, 4323, 12068, 158]}, 'Perm': {'d': 21, 'gens': [40447, 304, 2561327494107782400, 403200, 978]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [66], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{21}:C_{66}', 'transitive_degree': 231, '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: 117561269
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 18, 'group_order': 1386, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 117561313
    {'aut_label': '2A', 'centralizer': '21.a1.a1', 'counter': 2, 'group_counter': 18, 'group_order': 1386, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2, 2], 'representative': 3, 'size': 21}
  • id: 117561324
    {'aut_label': '3A', 'centralizer': '2.a1.a1', 'counter': 3, 'group_counter': 18, 'group_order': 1386, 'label': '3A', 'order': 3, 'powers': [3, 1, 3, 3, 3], 'representative': 462, 'size': 2}
  • id: 117561335
    {'aut_label': '3B1', 'centralizer': '7.a1.a1', 'counter': 4, 'group_counter': 18, 'group_order': 1386, 'label': '3B1', 'order': 3, 'powers': [5, 1, 5, 4, 5], 'representative': 4, 'size': 7}
  • id: 117561346
    {'aut_label': '3B-1', 'centralizer': '7.a1.a1', 'counter': 5, 'group_counter': 18, 'group_order': 1386, 'label': '3B-1', 'order': 3, 'powers': [4, 1, 4, 5, 4], 'representative': 2, 'size': 7}
  • id: 117561357
    {'aut_label': '3C1', 'centralizer': '14.a1.a1', 'counter': 6, 'group_counter': 18, 'group_order': 1386, 'label': '3C1', 'order': 3, 'powers': [7, 1, 7, 6, 7], 'representative': 664, 'size': 14}
  • id: 117561368
    {'aut_label': '3C-1', 'centralizer': '14.a1.a1', 'counter': 7, 'group_counter': 18, 'group_order': 1386, 'label': '3C-1', 'order': 3, 'powers': [6, 1, 6, 7, 6], 'representative': 134, 'size': 14}
  • id: 117561379
    {'aut_label': '6A1', 'centralizer': '21.a1.a1', 'counter': 8, 'group_counter': 18, 'group_order': 1386, 'label': '6A1', 'order': 6, 'powers': [4, 2, 9, 8, 9], 'representative': 5, 'size': 21}
  • id: 117561390
    {'aut_label': '6A-1', 'centralizer': '21.a1.a1', 'counter': 9, 'group_counter': 18, 'group_order': 1386, 'label': '6A-1', 'order': 6, 'powers': [5, 2, 8, 9, 8], 'representative': 1, 'size': 21}
  • id: 117561270
    {'aut_label': '7A', 'centralizer': '6.a1.a1', 'counter': 10, 'group_counter': 18, 'group_order': 1386, 'label': '7A', 'order': 7, 'powers': [10, 10, 10, 1, 10], 'representative': 198, 'size': 6}
  • id: 117561281
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 18, 'group_order': 1386, 'label': '11A1', 'order': 11, 'powers': [13, 15, 19, 18, 1], 'representative': 1008, 'size': 1}
  • id: 117561292
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 18, 'group_order': 1386, 'label': '11A-1', 'order': 11, 'powers': [14, 16, 20, 17, 1], 'representative': 378, 'size': 1}
  • id: 117561303
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 18, 'group_order': 1386, 'label': '11A2', 'order': 11, 'powers': [17, 20, 12, 15, 1], 'representative': 630, 'size': 1}
  • id: 117561307
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 18, 'group_order': 1386, 'label': '11A-2', 'order': 11, 'powers': [18, 19, 11, 16, 1], 'representative': 756, 'size': 1}
  • id: 117561308
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 18, 'group_order': 1386, 'label': '11A3', 'order': 11, 'powers': [20, 14, 17, 12, 1], 'representative': 252, 'size': 1}
  • id: 117561309
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 18, 'group_order': 1386, 'label': '11A-3', 'order': 11, 'powers': [19, 13, 18, 11, 1], 'representative': 1134, 'size': 1}
  • id: 117561310
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 18, 'group_order': 1386, 'label': '11A4', 'order': 11, 'powers': [16, 11, 14, 20, 1], 'representative': 1260, 'size': 1}
  • id: 117561311
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 18, 'group_order': 1386, 'label': '11A-4', 'order': 11, 'powers': [15, 12, 13, 19, 1], 'representative': 126, 'size': 1}
  • id: 117561312
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 18, 'group_order': 1386, 'label': '11A5', 'order': 11, 'powers': [12, 17, 15, 13, 1], 'representative': 882, 'size': 1}
  • id: 117561314
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 18, 'group_order': 1386, 'label': '11A-5', 'order': 11, 'powers': [11, 18, 16, 14, 1], 'representative': 504, 'size': 1}
  • id: 117561315
    {'aut_label': '21A1', 'centralizer': '6.a1.a1', 'counter': 21, 'group_counter': 18, 'group_order': 1386, 'label': '21A1', 'order': 21, 'powers': [22, 10, 21, 3, 22], 'representative': 66, 'size': 6}
  • id: 117561316
    {'aut_label': '21A1', 'centralizer': '6.a1.a1', 'counter': 22, 'group_counter': 18, 'group_order': 1386, 'label': '21A2', 'order': 21, 'powers': [21, 10, 22, 3, 21], 'representative': 132, 'size': 6}
  • id: 117561317
    {'aut_label': '22A1', 'centralizer': '21.a1.a1', 'counter': 23, 'group_counter': 18, 'group_order': 1386, 'label': '22A1', 'order': 22, 'powers': [14, 25, 27, 29, 2], 'representative': 381, 'size': 21}
  • id: 117561318
    {'aut_label': '22A1', 'centralizer': '21.a1.a1', 'counter': 24, 'group_counter': 18, 'group_order': 1386, 'label': '22A-1', 'order': 22, 'powers': [13, 26, 28, 30, 2], 'representative': 1011, 'size': 21}
  • id: 117561319
    {'aut_label': '22A1', 'centralizer': '21.a1.a1', 'counter': 25, 'group_counter': 18, 'group_order': 1386, 'label': '22A3', 'order': 22, 'powers': [19, 31, 30, 24, 2], 'representative': 1137, 'size': 21}
  • id: 117561320
    {'aut_label': '22A1', 'centralizer': '21.a1.a1', 'counter': 26, 'group_counter': 18, 'group_order': 1386, 'label': '22A-3', 'order': 22, 'powers': [20, 32, 29, 23, 2], 'representative': 255, 'size': 21}
  • id: 117561321
    {'aut_label': '22A1', 'centralizer': '21.a1.a1', 'counter': 27, 'group_counter': 18, 'group_order': 1386, 'label': '22A5', 'order': 22, 'powers': [11, 30, 25, 32, 2], 'representative': 507, 'size': 21}
  • id: 117561322
    {'aut_label': '22A1', 'centralizer': '21.a1.a1', 'counter': 28, 'group_counter': 18, 'group_order': 1386, 'label': '22A-5', 'order': 22, 'powers': [12, 29, 26, 31, 2], 'representative': 885, 'size': 21}
  • id: 117561323
    {'aut_label': '22A1', 'centralizer': '21.a1.a1', 'counter': 29, 'group_counter': 18, 'group_order': 1386, 'label': '22A7', 'order': 22, 'powers': [16, 24, 32, 27, 2], 'representative': 1263, 'size': 21}
  • id: 117561325
    {'aut_label': '22A1', 'centralizer': '21.a1.a1', 'counter': 30, 'group_counter': 18, 'group_order': 1386, 'label': '22A-7', 'order': 22, 'powers': [15, 23, 31, 28, 2], 'representative': 129, 'size': 21}
  • id: 117561326
    {'aut_label': '22A1', 'centralizer': '21.a1.a1', 'counter': 31, 'group_counter': 18, 'group_order': 1386, 'label': '22A9', 'order': 22, 'powers': [17, 27, 23, 26, 2], 'representative': 633, 'size': 21}
  • id: 117561327
    {'aut_label': '22A1', 'centralizer': '21.a1.a1', 'counter': 32, 'group_counter': 18, 'group_order': 1386, 'label': '22A-9', 'order': 22, 'powers': [18, 28, 24, 25, 2], 'representative': 759, 'size': 21}
  • id: 117561328
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 33, 'group_counter': 18, 'group_order': 1386, 'label': '33A1', 'order': 33, 'powers': [35, 18, 39, 38, 3], 'representative': 42, 'size': 2}
  • id: 117561329
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 18, 'group_order': 1386, 'label': '33A-1', 'order': 33, 'powers': [36, 17, 40, 37, 3], 'representative': 1344, 'size': 2}
  • id: 117561330
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 18, 'group_order': 1386, 'label': '33A2', 'order': 33, 'powers': [37, 15, 34, 42, 3], 'representative': 84, 'size': 2}
  • id: 117561331
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 18, 'group_order': 1386, 'label': '33A-2', 'order': 33, 'powers': [38, 16, 33, 41, 3], 'representative': 1302, 'size': 2}
  • id: 117561332
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 18, 'group_order': 1386, 'label': '33A4', 'order': 33, 'powers': [41, 20, 36, 40, 3], 'representative': 168, 'size': 2}
  • id: 117561333
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 18, 'group_order': 1386, 'label': '33A-4', 'order': 33, 'powers': [42, 19, 35, 39, 3], 'representative': 1218, 'size': 2}
  • id: 117561334
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 18, 'group_order': 1386, 'label': '33A5', 'order': 33, 'powers': [34, 13, 42, 35, 3], 'representative': 210, 'size': 2}
  • id: 117561336
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 18, 'group_order': 1386, 'label': '33A-5', 'order': 33, 'powers': [33, 14, 41, 36, 3], 'representative': 1176, 'size': 2}
  • id: 117561337
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 18, 'group_order': 1386, 'label': '33A8', 'order': 33, 'powers': [39, 11, 38, 33, 3], 'representative': 336, 'size': 2}
  • id: 117561338
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 18, 'group_order': 1386, 'label': '33A-8', 'order': 33, 'powers': [40, 12, 37, 34, 3], 'representative': 1050, 'size': 2}
  • id: 117561339
    {'aut_label': '33B1', 'centralizer': '7.a1.a1', 'counter': 43, 'group_counter': 18, 'group_order': 1386, 'label': '33B1', 'order': 33, 'powers': [45, 14, 49, 51, 4], 'representative': 254, 'size': 7}
  • id: 117561340
    {'aut_label': '33B-1', 'centralizer': '7.a1.a1', 'counter': 44, 'group_counter': 18, 'group_order': 1386, 'label': '33B-1', 'order': 33, 'powers': [46, 13, 50, 52, 5], 'representative': 1138, 'size': 7}
  • id: 117561341
    {'aut_label': '33B-1', 'centralizer': '7.a1.a1', 'counter': 45, 'group_counter': 18, 'group_order': 1386, 'label': '33B2', 'order': 33, 'powers': [47, 18, 55, 59, 5], 'representative': 508, 'size': 7}
  • id: 117561342
    {'aut_label': '33B1', 'centralizer': '7.a1.a1', 'counter': 46, 'group_counter': 18, 'group_order': 1386, 'label': '33B-2', 'order': 33, 'powers': [48, 17, 56, 60, 4], 'representative': 884, 'size': 7}
  • id: 117561343
    {'aut_label': '33B1', 'centralizer': '7.a1.a1', 'counter': 47, 'group_counter': 18, 'group_order': 1386, 'label': '33B4', 'order': 33, 'powers': [53, 15, 58, 50, 4], 'representative': 1010, 'size': 7}
  • id: 117561344
    {'aut_label': '33B-1', 'centralizer': '7.a1.a1', 'counter': 48, 'group_counter': 18, 'group_order': 1386, 'label': '33B-4', 'order': 33, 'powers': [54, 16, 57, 49, 5], 'representative': 382, 'size': 7}
  • id: 117561345
    {'aut_label': '33B-1', 'centralizer': '7.a1.a1', 'counter': 49, 'group_counter': 18, 'group_order': 1386, 'label': '33B5', 'order': 33, 'powers': [55, 11, 54, 45, 5], 'representative': 1264, 'size': 7}
  • id: 117561347
    {'aut_label': '33B1', 'centralizer': '7.a1.a1', 'counter': 50, 'group_counter': 18, 'group_order': 1386, 'label': '33B-5', 'order': 33, 'powers': [56, 12, 53, 46, 4], 'representative': 128, 'size': 7}
  • id: 117561348
    {'aut_label': '33B1', 'centralizer': '7.a1.a1', 'counter': 51, 'group_counter': 18, 'group_order': 1386, 'label': '33B7', 'order': 33, 'powers': [59, 16, 45, 61, 4], 'representative': 380, 'size': 7}
  • id: 117561349
    {'aut_label': '33B-1', 'centralizer': '7.a1.a1', 'counter': 52, 'group_counter': 18, 'group_order': 1386, 'label': '33B-7', 'order': 33, 'powers': [60, 15, 46, 62, 5], 'representative': 1012, 'size': 7}
  • id: 117561350
    {'aut_label': '33B-1', 'centralizer': '7.a1.a1', 'counter': 53, 'group_counter': 18, 'group_order': 1386, 'label': '33B8', 'order': 33, 'powers': [61, 20, 51, 56, 5], 'representative': 634, 'size': 7}
  • id: 117561351
    {'aut_label': '33B1', 'centralizer': '7.a1.a1', 'counter': 54, 'group_counter': 18, 'group_order': 1386, 'label': '33B-8', 'order': 33, 'powers': [62, 19, 52, 55, 4], 'representative': 758, 'size': 7}
  • id: 117561352
    {'aut_label': '33B1', 'centralizer': '7.a1.a1', 'counter': 55, 'group_counter': 18, 'group_order': 1386, 'label': '33B10', 'order': 33, 'powers': [58, 13, 62, 47, 4], 'representative': 1136, 'size': 7}
  • id: 117561353
    {'aut_label': '33B-1', 'centralizer': '7.a1.a1', 'counter': 56, 'group_counter': 18, 'group_order': 1386, 'label': '33B-10', 'order': 33, 'powers': [57, 14, 61, 48, 5], 'representative': 256, 'size': 7}
  • id: 117561354
    {'aut_label': '33B1', 'centralizer': '7.a1.a1', 'counter': 57, 'group_counter': 18, 'group_order': 1386, 'label': '33B13', 'order': 33, 'powers': [52, 18, 44, 54, 4], 'representative': 506, 'size': 7}
  • id: 117561355
    {'aut_label': '33B-1', 'centralizer': '7.a1.a1', 'counter': 58, 'group_counter': 18, 'group_order': 1386, 'label': '33B-13', 'order': 33, 'powers': [51, 17, 43, 53, 5], 'representative': 886, 'size': 7}
  • id: 117561356
    {'aut_label': '33B-1', 'centralizer': '7.a1.a1', 'counter': 59, 'group_counter': 18, 'group_order': 1386, 'label': '33B14', 'order': 33, 'powers': [50, 19, 47, 44, 5], 'representative': 760, 'size': 7}
  • id: 117561358
    {'aut_label': '33B1', 'centralizer': '7.a1.a1', 'counter': 60, 'group_counter': 18, 'group_order': 1386, 'label': '33B-14', 'order': 33, 'powers': [49, 20, 48, 43, 4], 'representative': 632, 'size': 7}
  • id: 117561359
    {'aut_label': '33B1', 'centralizer': '7.a1.a1', 'counter': 61, 'group_counter': 18, 'group_order': 1386, 'label': '33B16', 'order': 33, 'powers': [44, 11, 59, 57, 4], 'representative': 1262, 'size': 7}
  • id: 117561360
    {'aut_label': '33B-1', 'centralizer': '7.a1.a1', 'counter': 62, 'group_counter': 18, 'group_order': 1386, 'label': '33B-16', 'order': 33, 'powers': [43, 12, 60, 58, 5], 'representative': 130, 'size': 7}
  • id: 117561361
    {'aut_label': '33C1', 'centralizer': '14.a1.a1', 'counter': 63, 'group_counter': 18, 'group_order': 1386, 'label': '33C1', 'order': 33, 'powers': [65, 11, 69, 71, 6], 'representative': 8, 'size': 14}
  • id: 117561362
    {'aut_label': '33C-1', 'centralizer': '14.a1.a1', 'counter': 64, 'group_counter': 18, 'group_order': 1386, 'label': '33C-1', 'order': 33, 'powers': [66, 12, 70, 72, 7], 'representative': 262, 'size': 14}
  • id: 117561363
    {'aut_label': '33C-1', 'centralizer': '14.a1.a1', 'counter': 65, 'group_counter': 18, 'group_order': 1386, 'label': '33C2', 'order': 33, 'powers': [67, 13, 75, 79, 7], 'representative': 16, 'size': 14}
  • id: 117561364
    {'aut_label': '33C1', 'centralizer': '14.a1.a1', 'counter': 66, 'group_counter': 18, 'group_order': 1386, 'label': '33C-2', 'order': 33, 'powers': [68, 14, 76, 80, 6], 'representative': 386, 'size': 14}
  • id: 117561365
    {'aut_label': '33C1', 'centralizer': '14.a1.a1', 'counter': 67, 'group_counter': 18, 'group_order': 1386, 'label': '33C4', 'order': 33, 'powers': [73, 17, 78, 70, 6], 'representative': 26, 'size': 14}
  • id: 117561366
    {'aut_label': '33C-1', 'centralizer': '14.a1.a1', 'counter': 68, 'group_counter': 18, 'group_order': 1386, 'label': '33C-4', 'order': 33, 'powers': [74, 18, 77, 69, 7], 'representative': 46, 'size': 14}
  • id: 117561367
    {'aut_label': '33C-1', 'centralizer': '14.a1.a1', 'counter': 69, 'group_counter': 18, 'group_order': 1386, 'label': '33C5', 'order': 33, 'powers': [75, 19, 74, 65, 7], 'representative': 34, 'size': 14}
  • id: 117561369
    {'aut_label': '33C1', 'centralizer': '14.a1.a1', 'counter': 70, 'group_counter': 18, 'group_order': 1386, 'label': '33C-5', 'order': 33, 'powers': [76, 20, 73, 66, 6], 'representative': 764, 'size': 14}
  • id: 117561370
    {'aut_label': '33C1', 'centralizer': '14.a1.a1', 'counter': 71, 'group_counter': 18, 'group_order': 1386, 'label': '33C7', 'order': 33, 'powers': [79, 18, 65, 81, 6], 'representative': 44, 'size': 14}
  • id: 117561371
    {'aut_label': '33C-1', 'centralizer': '14.a1.a1', 'counter': 72, 'group_counter': 18, 'group_order': 1386, 'label': '33C-7', 'order': 33, 'powers': [80, 17, 66, 82, 7], 'representative': 28, 'size': 14}
  • id: 117561372
    {'aut_label': '33C-1', 'centralizer': '14.a1.a1', 'counter': 73, 'group_counter': 18, 'group_order': 1386, 'label': '33C8', 'order': 33, 'powers': [81, 16, 71, 76, 7], 'representative': 52, 'size': 14}
  • id: 117561373
    {'aut_label': '33C1', 'centralizer': '14.a1.a1', 'counter': 74, 'group_counter': 18, 'group_order': 1386, 'label': '33C-8', 'order': 33, 'powers': [82, 15, 72, 75, 6], 'representative': 86, 'size': 14}
  • id: 117561374
    {'aut_label': '33C1', 'centralizer': '14.a1.a1', 'counter': 75, 'group_counter': 18, 'group_order': 1386, 'label': '33C10', 'order': 33, 'powers': [78, 12, 82, 67, 6], 'representative': 260, 'size': 14}
  • id: 117561375
    {'aut_label': '33C-1', 'centralizer': '14.a1.a1', 'counter': 76, 'group_counter': 18, 'group_order': 1386, 'label': '33C-10', 'order': 33, 'powers': [77, 11, 81, 68, 7], 'representative': 10, 'size': 14}
  • id: 117561376
    {'aut_label': '33C1', 'centralizer': '14.a1.a1', 'counter': 77, 'group_counter': 18, 'group_order': 1386, 'label': '33C13', 'order': 33, 'powers': [72, 13, 64, 74, 6], 'representative': 14, 'size': 14}
  • id: 117561377
    {'aut_label': '33C-1', 'centralizer': '14.a1.a1', 'counter': 78, 'group_counter': 18, 'group_order': 1386, 'label': '33C-13', 'order': 33, 'powers': [71, 14, 63, 73, 7], 'representative': 388, 'size': 14}
  • id: 117561378
    {'aut_label': '33C-1', 'centralizer': '14.a1.a1', 'counter': 79, 'group_counter': 18, 'group_order': 1386, 'label': '33C14', 'order': 33, 'powers': [70, 15, 67, 64, 7], 'representative': 88, 'size': 14}
  • id: 117561380
    {'aut_label': '33C1', 'centralizer': '14.a1.a1', 'counter': 80, 'group_counter': 18, 'group_order': 1386, 'label': '33C-14', 'order': 33, 'powers': [69, 16, 68, 63, 6], 'representative': 50, 'size': 14}
  • id: 117561381
    {'aut_label': '33C1', 'centralizer': '14.a1.a1', 'counter': 81, 'group_counter': 18, 'group_order': 1386, 'label': '33C16', 'order': 33, 'powers': [64, 19, 79, 77, 6], 'representative': 32, 'size': 14}
  • id: 117561382
    {'aut_label': '33C-1', 'centralizer': '14.a1.a1', 'counter': 82, 'group_counter': 18, 'group_order': 1386, 'label': '33C-16', 'order': 33, 'powers': [63, 20, 80, 78, 7], 'representative': 766, 'size': 14}
  • id: 117561383
    {'aut_label': '66A1', 'centralizer': '21.a1.a1', 'counter': 83, 'group_counter': 18, 'group_order': 1386, 'label': '66A1', 'order': 66, 'powers': [43, 23, 85, 87, 8], 'representative': 127, 'size': 21}
  • id: 117561384
    {'aut_label': '66A-1', 'centralizer': '21.a1.a1', 'counter': 84, 'group_counter': 18, 'group_order': 1386, 'label': '66A-1', 'order': 66, 'powers': [44, 24, 86, 88, 9], 'representative': 11, 'size': 21}
  • id: 117561385
    {'aut_label': '66A-1', 'centralizer': '21.a1.a1', 'counter': 85, 'group_counter': 18, 'group_order': 1386, 'label': '66A5', 'order': 66, 'powers': [49, 27, 97, 102, 9], 'representative': 41, 'size': 21}
  • id: 117561386
    {'aut_label': '66A1', 'centralizer': '21.a1.a1', 'counter': 86, 'group_counter': 18, 'group_order': 1386, 'label': '66A-5', 'order': 66, 'powers': [50, 28, 98, 101, 8], 'representative': 757, 'size': 21}
  • id: 117561387
    {'aut_label': '66A1', 'centralizer': '21.a1.a1', 'counter': 87, 'group_counter': 18, 'group_order': 1386, 'label': '66A7', 'order': 66, 'powers': [51, 29, 102, 92, 8], 'representative': 91, 'size': 21}
  • id: 117561388
    {'aut_label': '66A-1', 'centralizer': '21.a1.a1', 'counter': 88, 'group_counter': 18, 'group_order': 1386, 'label': '66A-7', 'order': 66, 'powers': [52, 30, 101, 91, 9], 'representative': 509, 'size': 21}
  • id: 117561389
    {'aut_label': '66A1', 'centralizer': '21.a1.a1', 'counter': 89, 'group_counter': 18, 'group_order': 1386, 'label': '66A13', 'order': 66, 'powers': [57, 32, 84, 97, 8], 'representative': 253, 'size': 21}
  • id: 117561391
    {'aut_label': '66A-1', 'centralizer': '21.a1.a1', 'counter': 90, 'group_counter': 18, 'group_order': 1386, 'label': '66A-13', 'order': 66, 'powers': [58, 31, 83, 98, 9], 'representative': 17, 'size': 21}
  • id: 117561392
    {'aut_label': '66A-1', 'centralizer': '21.a1.a1', 'counter': 91, 'group_counter': 18, 'group_order': 1386, 'label': '66A17', 'order': 66, 'powers': [62, 28, 93, 90, 9], 'representative': 761, 'size': 21}
  • id: 117561393
    {'aut_label': '66A1', 'centralizer': '21.a1.a1', 'counter': 92, 'group_counter': 18, 'group_order': 1386, 'label': '66A-17', 'order': 66, 'powers': [61, 27, 94, 89, 8], 'representative': 37, 'size': 21}
  • id: 117561394
    {'aut_label': '66A1', 'centralizer': '21.a1.a1', 'counter': 93, 'group_counter': 18, 'group_order': 1386, 'label': '66A19', 'order': 66, 'powers': [60, 26, 99, 83, 8], 'representative': 19, 'size': 21}
  • id: 117561395
    {'aut_label': '66A-1', 'centralizer': '21.a1.a1', 'counter': 94, 'group_counter': 18, 'group_order': 1386, 'label': '66A-19', 'order': 66, 'powers': [59, 25, 100, 84, 9], 'representative': 383, 'size': 21}
  • id: 117561396
    {'aut_label': '66A-1', 'centralizer': '21.a1.a1', 'counter': 95, 'group_counter': 18, 'group_order': 1386, 'label': '66A23', 'order': 66, 'powers': [56, 23, 92, 99, 9], 'representative': 131, 'size': 21}
  • id: 117561397
    {'aut_label': '66A1', 'centralizer': '21.a1.a1', 'counter': 96, 'group_counter': 18, 'group_order': 1386, 'label': '66A-23', 'order': 66, 'powers': [55, 24, 91, 100, 8], 'representative': 7, 'size': 21}
  • id: 117561398
    {'aut_label': '66A1', 'centralizer': '21.a1.a1', 'counter': 97, 'group_counter': 18, 'group_order': 1386, 'label': '66A25', 'order': 66, 'powers': [54, 25, 88, 96, 8], 'representative': 379, 'size': 21}
  • id: 117561399
    {'aut_label': '66A-1', 'centralizer': '21.a1.a1', 'counter': 98, 'group_counter': 18, 'group_order': 1386, 'label': '66A-25', 'order': 66, 'powers': [53, 26, 87, 95, 9], 'representative': 23, 'size': 21}
  • id: 117561400
    {'aut_label': '66A-1', 'centralizer': '21.a1.a1', 'counter': 99, 'group_counter': 18, 'group_order': 1386, 'label': '66A29', 'order': 66, 'powers': [48, 29, 89, 85, 9], 'representative': 95, 'size': 21}
  • id: 117561271
    {'aut_label': '66A1', 'centralizer': '21.a1.a1', 'counter': 100, 'group_counter': 18, 'group_order': 1386, 'label': '66A-29', 'order': 66, 'powers': [47, 30, 90, 86, 8], 'representative': 505, 'size': 21}
  • id: 117561272
    {'aut_label': '66A1', 'centralizer': '21.a1.a1', 'counter': 101, 'group_counter': 18, 'group_order': 1386, 'label': '66A31', 'order': 66, 'powers': [46, 31, 95, 93, 8], 'representative': 13, 'size': 21}
  • id: 117561273
    {'aut_label': '66A-1', 'centralizer': '21.a1.a1', 'counter': 102, 'group_counter': 18, 'group_order': 1386, 'label': '66A-31', 'order': 66, 'powers': [45, 32, 96, 94, 9], 'representative': 257, 'size': 21}
  • id: 117561274
    {'aut_label': '77A1', 'centralizer': '6.a1.a1', 'counter': 103, 'group_counter': 18, 'group_order': 1386, 'label': '77A1', 'order': 77, 'powers': [105, 107, 111, 18, 10], 'representative': 18, 'size': 6}
  • id: 117561275
    {'aut_label': '77A1', 'centralizer': '6.a1.a1', 'counter': 104, 'group_counter': 18, 'group_order': 1386, 'label': '77A-1', 'order': 77, 'powers': [106, 108, 112, 17, 10], 'representative': 1368, 'size': 6}
  • id: 117561276
    {'aut_label': '77A1', 'centralizer': '6.a1.a1', 'counter': 105, 'group_counter': 18, 'group_order': 1386, 'label': '77A2', 'order': 77, 'powers': [109, 112, 104, 15, 10], 'representative': 36, 'size': 6}
  • id: 117561277
    {'aut_label': '77A1', 'centralizer': '6.a1.a1', 'counter': 106, 'group_counter': 18, 'group_order': 1386, 'label': '77A-2', 'order': 77, 'powers': [110, 111, 103, 16, 10], 'representative': 1350, 'size': 6}
  • id: 117561278
    {'aut_label': '77A1', 'centralizer': '6.a1.a1', 'counter': 107, 'group_counter': 18, 'group_order': 1386, 'label': '77A3', 'order': 77, 'powers': [112, 106, 109, 12, 10], 'representative': 54, 'size': 6}
  • id: 117561279
    {'aut_label': '77A1', 'centralizer': '6.a1.a1', 'counter': 108, 'group_counter': 18, 'group_order': 1386, 'label': '77A-3', 'order': 77, 'powers': [111, 105, 110, 11, 10], 'representative': 1332, 'size': 6}
  • id: 117561280
    {'aut_label': '77A1', 'centralizer': '6.a1.a1', 'counter': 109, 'group_counter': 18, 'group_order': 1386, 'label': '77A4', 'order': 77, 'powers': [108, 103, 106, 20, 10], 'representative': 72, 'size': 6}
  • id: 117561282
    {'aut_label': '77A1', 'centralizer': '6.a1.a1', 'counter': 110, 'group_counter': 18, 'group_order': 1386, 'label': '77A-4', 'order': 77, 'powers': [107, 104, 105, 19, 10], 'representative': 1314, 'size': 6}
  • id: 117561283
    {'aut_label': '77A1', 'centralizer': '6.a1.a1', 'counter': 111, 'group_counter': 18, 'group_order': 1386, 'label': '77A5', 'order': 77, 'powers': [104, 109, 107, 13, 10], 'representative': 90, 'size': 6}
  • id: 117561284
    {'aut_label': '77A1', 'centralizer': '6.a1.a1', 'counter': 112, 'group_counter': 18, 'group_order': 1386, 'label': '77A-5', 'order': 77, 'powers': [103, 110, 108, 14, 10], 'representative': 1296, 'size': 6}
  • id: 117561285
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 113, 'group_counter': 18, 'group_order': 1386, 'label': '231A1', 'order': 231, 'powers': [115, 103, 119, 33, 21], 'representative': 6, 'size': 6}
  • id: 117561286
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 114, 'group_counter': 18, 'group_order': 1386, 'label': '231A-1', 'order': 231, 'powers': [116, 104, 120, 34, 21], 'representative': 258, 'size': 6}
  • id: 117561287
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 115, 'group_counter': 18, 'group_order': 1386, 'label': '231A2', 'order': 231, 'powers': [117, 105, 123, 35, 22], 'representative': 12, 'size': 6}
  • id: 117561288
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 116, 'group_counter': 18, 'group_order': 1386, 'label': '231A-2', 'order': 231, 'powers': [118, 106, 124, 36, 22], 'representative': 516, 'size': 6}
  • id: 117561289
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 117, 'group_counter': 18, 'group_order': 1386, 'label': '231A4', 'order': 231, 'powers': [121, 109, 125, 37, 21], 'representative': 24, 'size': 6}
  • id: 117561290
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 118, 'group_counter': 18, 'group_order': 1386, 'label': '231A-4', 'order': 231, 'powers': [122, 110, 126, 38, 21], 'representative': 636, 'size': 6}
  • id: 117561291
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 119, 'group_counter': 18, 'group_order': 1386, 'label': '231A5', 'order': 231, 'powers': [123, 111, 127, 39, 21], 'representative': 30, 'size': 6}
  • id: 117561293
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 120, 'group_counter': 18, 'group_order': 1386, 'label': '231A-5', 'order': 231, 'powers': [124, 112, 128, 40, 21], 'representative': 762, 'size': 6}
  • id: 117561294
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 121, 'group_counter': 18, 'group_order': 1386, 'label': '231A8', 'order': 231, 'powers': [119, 108, 129, 41, 22], 'representative': 48, 'size': 6}
  • id: 117561295
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 122, 'group_counter': 18, 'group_order': 1386, 'label': '231A-8', 'order': 231, 'powers': [120, 107, 130, 42, 22], 'representative': 1272, 'size': 6}
  • id: 117561296
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 123, 'group_counter': 18, 'group_order': 1386, 'label': '231A10', 'order': 231, 'powers': [125, 104, 131, 34, 22], 'representative': 60, 'size': 6}
  • id: 117561297
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 124, 'group_counter': 18, 'group_order': 1386, 'label': '231A-10', 'order': 231, 'powers': [126, 103, 132, 33, 22], 'representative': 138, 'size': 6}
  • id: 117561298
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 125, 'group_counter': 18, 'group_order': 1386, 'label': '231A20', 'order': 231, 'powers': [129, 106, 113, 36, 21], 'representative': 384, 'size': 6}
  • id: 117561299
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 126, 'group_counter': 18, 'group_order': 1386, 'label': '231A-20', 'order': 231, 'powers': [130, 105, 114, 35, 21], 'representative': 1266, 'size': 6}
  • id: 117561300
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 127, 'group_counter': 18, 'group_order': 1386, 'label': '231A25', 'order': 231, 'powers': [131, 107, 117, 42, 21], 'representative': 1140, 'size': 6}
  • id: 117561301
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 128, 'group_counter': 18, 'group_order': 1386, 'label': '231A-25', 'order': 231, 'powers': [132, 108, 118, 41, 21], 'representative': 510, 'size': 6}
  • id: 117561302
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 129, 'group_counter': 18, 'group_order': 1386, 'label': '231A29', 'order': 231, 'powers': [127, 110, 115, 38, 22], 'representative': 768, 'size': 6}
  • id: 117561304
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 130, 'group_counter': 18, 'group_order': 1386, 'label': '231A-29', 'order': 231, 'powers': [128, 109, 116, 37, 22], 'representative': 1146, 'size': 6}
  • id: 117561305
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 131, 'group_counter': 18, 'group_order': 1386, 'label': '231A50', 'order': 231, 'powers': [113, 112, 121, 40, 22], 'representative': 894, 'size': 6}
  • id: 117561306
    {'aut_label': '231A1', 'centralizer': '6.a1.a1', 'counter': 132, 'group_counter': 18, 'group_order': 1386, 'label': '231A-50', 'order': 231, 'powers': [114, 111, 122, 39, 22], 'representative': 1020, 'size': 6}
• 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: 6167431
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.1a', '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], 'schur_index': 1}
  • id: 6167439
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.1b', '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], 'schur_index': 1}
  • id: 6167440
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.1c', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 6167441
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.1d', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 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, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 6167446
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 0, -1, 2, 2, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6167432
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.2b', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 0, -2, -2, -2, 1, 1, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 6167435
    {'cdim': 6, 'counter': 13, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.6a', 'multiplicity': 1, 'nt': [7, 4], 'qdim': 6, 'qvalues': [6, 0, 6, 0, 0, 0, 0, 0, 0, -1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 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, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 6167442
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.1e', 'multiplicity': 10, 'nt': [11, 1], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6167443
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.1f', 'multiplicity': 10, 'nt': [22, 1], 'qdim': 10, 'qvalues': [10, -10, 10, 10, 10, 10, 10, -10, -10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -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: 6167436
    {'cdim': 6, 'counter': 14, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.6b', 'multiplicity': 2, 'nt': [21, 10], 'qdim': 12, 'qvalues': [12, 0, -6, 0, 0, 0, 0, 0, 0, -2, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -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, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6167444
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.1g', 'multiplicity': 20, 'nt': [33, 1], 'qdim': 20, 'qvalues': [20, 20, 20, -10, -10, -10, -10, -10, -10, 20, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 20, 20, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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], 'schur_index': 1}
  • id: 6167445
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.1h', 'multiplicity': 20, 'nt': [66, 0], 'qdim': 20, 'qvalues': [20, -20, 20, -10, -10, -10, -10, 10, 10, 20, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 20, 20, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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], 'schur_index': 1}
  • id: 6167433
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.2c', 'multiplicity': 10, 'nt': [33, 2], 'qdim': 20, 'qvalues': [20, 0, -10, 20, 20, -10, -10, 0, 0, 20, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6167434
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.2d', 'multiplicity': 20, 'nt': [66, 0], 'qdim': 40, 'qvalues': [40, 0, -20, -20, -20, 10, 10, 0, 0, 40, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -20, -20, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 6167437
    {'cdim': 6, 'counter': 15, 'faithful': False, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.6c', 'multiplicity': 10, 'nt': [77, 0], 'qdim': 60, 'qvalues': [60, 0, 60, 0, 0, 0, 0, 0, 0, -10, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -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, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 6167438
    {'cdim': 6, 'counter': 16, 'faithful': True, 'group': '1386.18', 'group_order': 1386, 'image': None, 'label': '1386.18.6d', 'multiplicity': 20, 'nt': [231, 0], 'qdim': 120, 'qvalues': [120, 0, -60, 0, 0, 0, 0, 0, 0, -20, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 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, 0, 0, 0, 0, 0, 0, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], '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: 12966828
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1386, 'label': '1386.18.1a', '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]]]}
  • id: 12966872
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 693, 'label': '1386.18.1b', '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]]]}
  • id: 12966883
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 3, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 462, 'label': '1386.18.1c1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[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, 0]], [[1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 12966894
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 4, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 462, 'label': '1386.18.1c2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[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, 0]], [[1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 12966905
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 231, 'label': '1386.18.1d1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[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, 0]], [[-1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 12966916
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 231, 'label': '1386.18.1d2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[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, 0]], [[-1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 12966927
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 7, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 126, 'label': '1386.18.1e1', 'nt': [11, 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, -5]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, 2]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, 5]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -4]], [[1, -5]], [[1, 3]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, -1]], [[1, -5]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, 5]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, -5]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, 2]], [[1, -4]]]}
  • id: 12966868
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 16, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 126, 'label': '1386.18.1e10', 'nt': [11, 10], '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, 1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, 5]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 4]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, -5]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, 3]], [[1, 1]], [[1, -5]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 5]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, 4]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, 5]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, 4]], [[1, -5]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, 4]], [[1, 3]]]}
  • id: 12966938
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 8, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 126, 'label': '1386.18.1e2', 'nt': [11, 10], '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, 5]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, -2]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, -5]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 4]], [[1, 5]], [[1, -3]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, 1]], [[1, 5]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, -5]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, -2]], [[1, 4]]]}
  • id: 12966949
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 9, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 126, 'label': '1386.18.1e3', 'nt': [11, 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, -4]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -5]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, -5]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 5]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -5]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, 5]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -5]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -5]], [[1, -1]]]}
  • id: 12966829
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 10, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 126, 'label': '1386.18.1e4', 'nt': [11, 10], '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, 4]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 5]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -5]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, -5]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 5]], [[1, 1]]]}
  • id: 12966840
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 11, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 126, 'label': '1386.18.1e5', 'nt': [11, 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, -3]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, -2]], [[1, 5]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -4]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, 2]], [[1, -5]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, 2]], [[1, -3]], [[1, 4]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, -4]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, -5]], [[1, -3]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 3]], [[1, -4]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, -5]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, -1]], [[1, 2]]]}
  • id: 12966851
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 12, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 126, 'label': '1386.18.1e6', 'nt': [11, 10], '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, 3]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, 2]], [[1, -5]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, -2]], [[1, 5]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, -2]], [[1, 3]], [[1, -4]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, 5]], [[1, 3]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -3]], [[1, 4]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, 1]], [[1, -2]]]}
  • id: 12966862
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 13, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 126, 'label': '1386.18.1e7', 'nt': [11, 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, -2]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, -5]], [[1, -4]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, 3]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 5]], [[1, 4]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 5]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 5]], [[1, 3]], [[1, -1]], [[1, -5]], [[1, -3]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, 1]], [[1, -5]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 5]]]}
  • id: 12966866
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 14, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 126, 'label': '1386.18.1e8', 'nt': [11, 10], '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, 2]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 5]], [[1, 4]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, -3]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -5]], [[1, -4]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -5]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -5]], [[1, -3]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -5]], [[1, -3]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, -1]], [[1, 5]], [[1, 4]], [[1, -3]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -5]]]}
  • id: 12966867
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 15, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 126, 'label': '1386.18.1e9', 'nt': [11, 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, -1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, -5]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -4]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, 5]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, -3]], [[1, -1]], [[1, 5]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -5]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, -4]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, -5]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, -4]], [[1, 5]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -5]], [[1, -1]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, -4]], [[1, -3]]]}
  • id: 12966869
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 17, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 63, 'label': '1386.18.1f1', 'nt': [22, 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, -5]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, -3]], [[1, 0]], [[1, 0]], [[-1, 5]], [[-1, -5]], [[-1, 4]], [[-1, 2]], [[-1, -3]], [[-1, -4]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[-1, 1]], [[1, -5]], [[1, 5]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -4]], [[1, -5]], [[1, 3]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, 5]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, -5]], [[-1, 5]], [[-1, -3]], [[-1, -1]], [[-1, -5]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, -4]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 5]], [[1, 5]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, -5]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, 2]], [[1, -4]]]}
  • id: 12966879
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 26, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 63, 'label': '1386.18.1f10', 'nt': [22, 10], '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, 1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, 5]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 4]], [[-1, 5]], [[-1, 3]], [[-1, -4]], [[-1, -5]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, 3]], [[1, 1]], [[1, -5]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 5]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, -1]], [[-1, 3]], [[-1, -3]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, 5]], [[-1, -2]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, -5]], [[-1, 5]], [[-1, 3]], [[-1, 4]], [[-1, -5]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[1, -1]], [[1, 5]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, 4]], [[1, -5]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, 4]], [[1, 3]]]}
  • id: 12966870
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 18, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 63, 'label': '1386.18.1f2', 'nt': [22, 10], '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, 5]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, -5]], [[-1, 5]], [[-1, -4]], [[-1, -2]], [[-1, 3]], [[-1, 4]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[-1, -1]], [[1, 5]], [[1, -5]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 4]], [[1, 5]], [[1, -3]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, -5]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, 5]], [[-1, -5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, 4]], [[-1, -2]], [[-1, -3]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -5]], [[1, -5]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, -2]], [[1, 4]]]}
  • id: 12966871
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 19, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 63, 'label': '1386.18.1f3', 'nt': [22, 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, -4]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -5]], [[-1, 2]], [[-1, -1]], [[-1, 5]], [[-1, -2]], [[-1, -3]], [[-1, 3]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, -5]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 5]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[-1, -3]], [[-1, -4]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -5]], [[-1, -2]], [[-1, 3]], [[-1, 5]], [[-1, -5]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, 5]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -5]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -5]], [[1, -1]]]}
  • id: 12966873
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 20, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 63, 'label': '1386.18.1f4', 'nt': [22, 10], '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, 4]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 5]], [[-1, -2]], [[-1, 1]], [[-1, -5]], [[-1, 2]], [[-1, 3]], [[-1, -3]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -5]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[-1, 3]], [[-1, 4]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[-1, -3]], [[-1, -5]], [[-1, 5]], [[-1, -4]], [[1, -4]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, -5]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 5]], [[1, 1]]]}
  • id: 12966874
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 21, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 63, 'label': '1386.18.1f5', 'nt': [22, 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, -3]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, -2]], [[1, 5]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -4]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -5]], [[-1, 5]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, 2]], [[1, -5]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, 2]], [[1, -3]], [[1, 4]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, -4]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 3]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, -4]], [[-1, -5]], [[-1, -3]], [[-1, -2]], [[-1, 5]], [[-1, -5]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[1, 3]], [[1, -4]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, -5]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, -1]], [[1, 2]]]}
  • id: 12966875
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 22, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 63, 'label': '1386.18.1f6', 'nt': [22, 10], '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, 3]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, 2]], [[1, -5]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 5]], [[-1, -5]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, -2]], [[1, 5]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, -2]], [[1, 3]], [[1, -4]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -3]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, 4]], [[-1, 5]], [[-1, 3]], [[-1, 2]], [[-1, -5]], [[-1, 5]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, -5]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[1, -3]], [[1, 4]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, 1]], [[1, -2]]]}
  • id: 12966876
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 23, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 63, 'label': '1386.18.1f7', 'nt': [22, 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, -2]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, -5]], [[1, -4]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[-1, -3]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 5]], [[1, 4]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 5]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, 2]], [[-1, 5]], [[-1, -5]], [[-1, -3]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -5]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, -1]], [[-1, -4]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 5]], [[1, 3]], [[1, -1]], [[1, -5]], [[1, -3]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, 1]], [[1, -5]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 5]]]}
  • id: 12966877
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 24, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 63, 'label': '1386.18.1f8', 'nt': [22, 10], '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, 2]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 5]], [[1, 4]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 5]], [[-1, -3]], [[-1, -1]], [[-1, -5]], [[-1, 3]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -5]], [[1, -4]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -5]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, -2]], [[-1, -5]], [[-1, 5]], [[-1, 3]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 5]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -5]], [[-1, -3]], [[-1, 1]], [[-1, 4]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -5]], [[1, -3]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, -1]], [[1, 5]], [[1, 4]], [[1, -3]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -5]]]}
  • id: 12966878
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 25, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 63, 'label': '1386.18.1f9', 'nt': [22, 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, -1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, -5]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -4]], [[-1, -5]], [[-1, -3]], [[-1, 4]], [[-1, 5]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, -3]], [[1, -1]], [[1, 5]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -5]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 1]], [[-1, -3]], [[-1, 3]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, -5]], [[-1, 2]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, 5]], [[-1, -5]], [[-1, -3]], [[-1, -4]], [[-1, 5]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[1, 1]], [[1, -5]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, -4]], [[1, 5]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -5]], [[1, -1]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, -4]], [[1, -3]]]}
  • id: 12966880
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 27, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g1', 'nt': [33, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, -15]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 12]], [[1, 3]], [[1, -12]], [[1, 9]], [[1, 15]], [[1, -9]], [[1, 0]], [[1, 0]], [[1, 15]], [[1, -15]], [[1, 12]], [[1, 6]], [[1, -9]], [[1, -12]], [[1, -6]], [[1, 9]], [[1, -3]], [[1, 3]], [[1, -15]], [[1, 15]], [[1, 3]], [[1, -12]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 9]], [[1, -9]], [[1, 12]], [[1, 4]], [[1, 10]], [[1, 8]], [[1, -13]], [[1, -10]], [[1, -5]], [[1, 1]], [[1, -8]], [[1, -14]], [[1, -16]], [[1, 5]], [[1, 7]], [[1, 13]], [[1, 16]], [[1, 14]], [[1, -7]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, -10]], [[1, -8]], [[1, -14]], [[1, 13]], [[1, 5]], [[1, 8]], [[1, -5]], [[1, -16]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 14]], [[1, -13]], [[1, 2]], [[1, 16]], [[1, -1]], [[1, 10]], [[1, 7]], [[1, 1]], [[1, -7]], [[1, 10]], [[1, -10]], [[1, 16]], [[1, -4]], [[1, -7]], [[1, 13]], [[1, -14]], [[1, 7]], [[1, 1]], [[1, 14]], [[1, 8]], [[1, -13]], [[1, 2]], [[1, -1]], [[1, -5]], [[1, -2]], [[1, -8]], [[1, 5]], [[1, -16]], [[1, 4]], [[1, 15]], [[1, -9]], [[1, -3]], [[1, 3]], [[1, -12]], [[1, 6]], [[1, 9]], [[1, 12]], [[1, -6]], [[1, -15]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 9]], [[1, 15]], [[1, 12]], [[1, -12]], [[1, -9]], [[1, 12]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -9]], [[1, -15]], [[1, -15]], [[1, 9]], [[1, 15]], [[1, 6]], [[1, -12]]]}
  • id: 12966890
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 36, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g10', 'nt': [33, 20], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 9]], [[1, 3]], [[1, -3]], [[1, 15]], [[1, 6]], [[1, -15]], [[1, -6]], [[1, -12]], [[1, -9]], [[1, 12]], [[1, 0]], [[1, 0]], [[1, -9]], [[1, 9]], [[1, 6]], [[1, 3]], [[1, 12]], [[1, -6]], [[1, -3]], [[1, -12]], [[1, 15]], [[1, -15]], [[1, 9]], [[1, -9]], [[1, -15]], [[1, -6]], [[1, 15]], [[1, -3]], [[1, 3]], [[1, -12]], [[1, 12]], [[1, 6]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, 10]], [[1, -5]], [[1, 14]], [[1, -16]], [[1, -4]], [[1, -7]], [[1, -8]], [[1, -14]], [[1, -13]], [[1, -10]], [[1, 8]], [[1, 7]], [[1, 13]], [[1, 1]], [[1, 16]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, -4]], [[1, -7]], [[1, -10]], [[1, -14]], [[1, 4]], [[1, 14]], [[1, -8]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 7]], [[1, 10]], [[1, 1]], [[1, 8]], [[1, 16]], [[1, 5]], [[1, -13]], [[1, -16]], [[1, 13]], [[1, 5]], [[1, -5]], [[1, 8]], [[1, -2]], [[1, 13]], [[1, -10]], [[1, -7]], [[1, -13]], [[1, -16]], [[1, 7]], [[1, 4]], [[1, 10]], [[1, 1]], [[1, 16]], [[1, 14]], [[1, -1]], [[1, -4]], [[1, -14]], [[1, -8]], [[1, 2]], [[1, -9]], [[1, 12]], [[1, 15]], [[1, -15]], [[1, -6]], [[1, 3]], [[1, -12]], [[1, 6]], [[1, -3]], [[1, 9]], [[1, -15]], [[1, -3]], [[1, -3]], [[1, -12]], [[1, -9]], [[1, 6]], [[1, -6]], [[1, 12]], [[1, 6]], [[1, -15]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 12]], [[1, 9]], [[1, 9]], [[1, -12]], [[1, -9]], [[1, 3]], [[1, -6]]]}
  • id: 12966891
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 37, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g11', 'nt': [33, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 9]], [[1, 3]], [[1, -3]], [[1, 15]], [[1, 6]], [[1, -15]], [[1, -6]], [[1, -12]], [[1, -9]], [[1, 12]], [[1, 0]], [[1, 0]], [[1, -9]], [[1, 9]], [[1, 6]], [[1, 3]], [[1, 12]], [[1, -6]], [[1, -3]], [[1, -12]], [[1, 15]], [[1, -15]], [[1, 9]], [[1, -9]], [[1, -15]], [[1, -6]], [[1, 15]], [[1, -3]], [[1, 3]], [[1, -12]], [[1, 12]], [[1, 6]], [[1, 13]], [[1, 16]], [[1, -7]], [[1, -1]], [[1, -16]], [[1, -8]], [[1, -5]], [[1, 7]], [[1, 4]], [[1, 14]], [[1, 8]], [[1, -2]], [[1, 1]], [[1, -14]], [[1, -4]], [[1, 2]], [[1, -10]], [[1, 5]], [[1, -13]], [[1, 10]], [[1, -16]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, 8]], [[1, -7]], [[1, -8]], [[1, 14]], [[1, -13]], [[1, 10]], [[1, 13]], [[1, -4]], [[1, -1]], [[1, -10]], [[1, -14]], [[1, 5]], [[1, 16]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, 16]], [[1, -16]], [[1, -14]], [[1, -13]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, -7]], [[1, -1]], [[1, -10]], [[1, 5]], [[1, -8]], [[1, 10]], [[1, 7]], [[1, 8]], [[1, 14]], [[1, 13]], [[1, -9]], [[1, 12]], [[1, 15]], [[1, -15]], [[1, -6]], [[1, 3]], [[1, -12]], [[1, 6]], [[1, -3]], [[1, 9]], [[1, -15]], [[1, -3]], [[1, -3]], [[1, -12]], [[1, -9]], [[1, 6]], [[1, -6]], [[1, 12]], [[1, 6]], [[1, -15]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 12]], [[1, 9]], [[1, 9]], [[1, -12]], [[1, -9]], [[1, 3]], [[1, -6]]]}
  • id: 12966892
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 38, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g12', 'nt': [33, 20], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, -9]], [[1, -3]], [[1, 3]], [[1, -15]], [[1, -6]], [[1, 15]], [[1, 6]], [[1, 12]], [[1, 9]], [[1, -12]], [[1, 0]], [[1, 0]], [[1, 9]], [[1, -9]], [[1, -6]], [[1, -3]], [[1, -12]], [[1, 6]], [[1, 3]], [[1, 12]], [[1, -15]], [[1, 15]], [[1, -9]], [[1, 9]], [[1, 15]], [[1, 6]], [[1, -15]], [[1, 3]], [[1, -3]], [[1, 12]], [[1, -12]], [[1, -6]], [[1, -13]], [[1, -16]], [[1, 7]], [[1, 1]], [[1, 16]], [[1, 8]], [[1, 5]], [[1, -7]], [[1, -4]], [[1, -14]], [[1, -8]], [[1, 2]], [[1, -1]], [[1, 14]], [[1, 4]], [[1, -2]], [[1, 10]], [[1, -5]], [[1, 13]], [[1, -10]], [[1, 16]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, -8]], [[1, 7]], [[1, 8]], [[1, -14]], [[1, 13]], [[1, -10]], [[1, -13]], [[1, 4]], [[1, 1]], [[1, 10]], [[1, 14]], [[1, -5]], [[1, -16]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, -16]], [[1, 16]], [[1, 14]], [[1, 13]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, 7]], [[1, 1]], [[1, 10]], [[1, -5]], [[1, 8]], [[1, -10]], [[1, -7]], [[1, -8]], [[1, -14]], [[1, -13]], [[1, 9]], [[1, -12]], [[1, -15]], [[1, 15]], [[1, 6]], [[1, -3]], [[1, 12]], [[1, -6]], [[1, 3]], [[1, -9]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, 12]], [[1, 9]], [[1, -6]], [[1, 6]], [[1, -12]], [[1, -6]], [[1, 15]], [[1, -3]], [[1, -15]], [[1, -15]], [[1, -12]], [[1, -9]], [[1, -9]], [[1, 12]], [[1, 9]], [[1, -3]], [[1, 6]]]}
  • id: 12966893
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 39, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g13', 'nt': [33, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, -6]], [[1, 9]], [[1, -9]], [[1, 12]], [[1, -15]], [[1, -12]], [[1, 15]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 6]], [[1, -6]], [[1, -15]], [[1, 9]], [[1, 3]], [[1, 15]], [[1, -9]], [[1, -3]], [[1, 12]], [[1, -12]], [[1, -6]], [[1, 6]], [[1, -12]], [[1, 15]], [[1, 12]], [[1, -9]], [[1, 9]], [[1, -3]], [[1, 3]], [[1, -15]], [[1, -5]], [[1, 4]], [[1, -10]], [[1, 8]], [[1, -4]], [[1, -2]], [[1, 7]], [[1, 10]], [[1, 1]], [[1, -13]], [[1, 2]], [[1, 16]], [[1, -8]], [[1, 13]], [[1, -1]], [[1, -16]], [[1, 14]], [[1, -7]], [[1, 5]], [[1, -14]], [[1, -4]], [[1, 10]], [[1, 1]], [[1, -8]], [[1, 2]], [[1, -10]], [[1, -2]], [[1, -13]], [[1, 5]], [[1, -14]], [[1, -5]], [[1, -1]], [[1, 8]], [[1, 14]], [[1, 13]], [[1, -7]], [[1, 4]], [[1, 16]], [[1, 7]], [[1, -16]], [[1, 4]], [[1, -4]], [[1, 13]], [[1, 5]], [[1, -16]], [[1, -8]], [[1, 1]], [[1, 16]], [[1, 7]], [[1, -1]], [[1, -10]], [[1, 8]], [[1, 14]], [[1, -7]], [[1, -2]], [[1, -14]], [[1, 10]], [[1, 2]], [[1, -13]], [[1, -5]], [[1, 6]], [[1, 3]], [[1, 12]], [[1, -12]], [[1, 15]], [[1, 9]], [[1, -3]], [[1, -15]], [[1, -9]], [[1, -6]], [[1, -12]], [[1, -9]], [[1, -9]], [[1, -3]], [[1, 6]], [[1, -15]], [[1, 15]], [[1, 3]], [[1, -15]], [[1, -12]], [[1, 9]], [[1, 12]], [[1, 12]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 9]], [[1, 15]]]}
  • id: 12966895
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 40, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g14', 'nt': [33, 20], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 6]], [[1, -9]], [[1, 9]], [[1, -12]], [[1, 15]], [[1, 12]], [[1, -15]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, -6]], [[1, 6]], [[1, 15]], [[1, -9]], [[1, -3]], [[1, -15]], [[1, 9]], [[1, 3]], [[1, -12]], [[1, 12]], [[1, 6]], [[1, -6]], [[1, 12]], [[1, -15]], [[1, -12]], [[1, 9]], [[1, -9]], [[1, 3]], [[1, -3]], [[1, 15]], [[1, 5]], [[1, -4]], [[1, 10]], [[1, -8]], [[1, 4]], [[1, 2]], [[1, -7]], [[1, -10]], [[1, -1]], [[1, 13]], [[1, -2]], [[1, -16]], [[1, 8]], [[1, -13]], [[1, 1]], [[1, 16]], [[1, -14]], [[1, 7]], [[1, -5]], [[1, 14]], [[1, 4]], [[1, -10]], [[1, -1]], [[1, 8]], [[1, -2]], [[1, 10]], [[1, 2]], [[1, 13]], [[1, -5]], [[1, 14]], [[1, 5]], [[1, 1]], [[1, -8]], [[1, -14]], [[1, -13]], [[1, 7]], [[1, -4]], [[1, -16]], [[1, -7]], [[1, 16]], [[1, -4]], [[1, 4]], [[1, -13]], [[1, -5]], [[1, 16]], [[1, 8]], [[1, -1]], [[1, -16]], [[1, -7]], [[1, 1]], [[1, 10]], [[1, -8]], [[1, -14]], [[1, 7]], [[1, 2]], [[1, 14]], [[1, -10]], [[1, -2]], [[1, 13]], [[1, 5]], [[1, -6]], [[1, -3]], [[1, -12]], [[1, 12]], [[1, -15]], [[1, -9]], [[1, 3]], [[1, 15]], [[1, 9]], [[1, 6]], [[1, 12]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, -6]], [[1, 15]], [[1, -15]], [[1, -3]], [[1, 15]], [[1, 12]], [[1, -9]], [[1, -12]], [[1, -12]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, -9]], [[1, -15]]]}
  • id: 12966896
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 41, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g15', 'nt': [33, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 6]], [[1, -9]], [[1, 9]], [[1, -12]], [[1, 15]], [[1, 12]], [[1, -15]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, -6]], [[1, 6]], [[1, 15]], [[1, -9]], [[1, -3]], [[1, -15]], [[1, 9]], [[1, 3]], [[1, -12]], [[1, 12]], [[1, 6]], [[1, -6]], [[1, 12]], [[1, -15]], [[1, -12]], [[1, 9]], [[1, -9]], [[1, 3]], [[1, -3]], [[1, 15]], [[1, 16]], [[1, 7]], [[1, -1]], [[1, 14]], [[1, -7]], [[1, 13]], [[1, 4]], [[1, 1]], [[1, 10]], [[1, 2]], [[1, -13]], [[1, -5]], [[1, -14]], [[1, -2]], [[1, -10]], [[1, 5]], [[1, 8]], [[1, -4]], [[1, -16]], [[1, -8]], [[1, -7]], [[1, 1]], [[1, 10]], [[1, -14]], [[1, -13]], [[1, -1]], [[1, 13]], [[1, 2]], [[1, -16]], [[1, -8]], [[1, 16]], [[1, -10]], [[1, 14]], [[1, 8]], [[1, -2]], [[1, -4]], [[1, 7]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 7]], [[1, -7]], [[1, -2]], [[1, -16]], [[1, 5]], [[1, -14]], [[1, 10]], [[1, -5]], [[1, 4]], [[1, -10]], [[1, -1]], [[1, 14]], [[1, 8]], [[1, -4]], [[1, 13]], [[1, -8]], [[1, 1]], [[1, -13]], [[1, 2]], [[1, 16]], [[1, -6]], [[1, -3]], [[1, -12]], [[1, 12]], [[1, -15]], [[1, -9]], [[1, 3]], [[1, 15]], [[1, 9]], [[1, 6]], [[1, 12]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, -6]], [[1, 15]], [[1, -15]], [[1, -3]], [[1, 15]], [[1, 12]], [[1, -9]], [[1, -12]], [[1, -12]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, -9]], [[1, -15]]]}
  • id: 12966897
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 42, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g16', 'nt': [33, 20], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, -6]], [[1, 9]], [[1, -9]], [[1, 12]], [[1, -15]], [[1, -12]], [[1, 15]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 6]], [[1, -6]], [[1, -15]], [[1, 9]], [[1, 3]], [[1, 15]], [[1, -9]], [[1, -3]], [[1, 12]], [[1, -12]], [[1, -6]], [[1, 6]], [[1, -12]], [[1, 15]], [[1, 12]], [[1, -9]], [[1, 9]], [[1, -3]], [[1, 3]], [[1, -15]], [[1, -16]], [[1, -7]], [[1, 1]], [[1, -14]], [[1, 7]], [[1, -13]], [[1, -4]], [[1, -1]], [[1, -10]], [[1, -2]], [[1, 13]], [[1, 5]], [[1, 14]], [[1, 2]], [[1, 10]], [[1, -5]], [[1, -8]], [[1, 4]], [[1, 16]], [[1, 8]], [[1, 7]], [[1, -1]], [[1, -10]], [[1, 14]], [[1, 13]], [[1, 1]], [[1, -13]], [[1, -2]], [[1, 16]], [[1, 8]], [[1, -16]], [[1, 10]], [[1, -14]], [[1, -8]], [[1, 2]], [[1, 4]], [[1, -7]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -7]], [[1, 7]], [[1, 2]], [[1, 16]], [[1, -5]], [[1, 14]], [[1, -10]], [[1, 5]], [[1, -4]], [[1, 10]], [[1, 1]], [[1, -14]], [[1, -8]], [[1, 4]], [[1, -13]], [[1, 8]], [[1, -1]], [[1, 13]], [[1, -2]], [[1, -16]], [[1, 6]], [[1, 3]], [[1, 12]], [[1, -12]], [[1, 15]], [[1, 9]], [[1, -3]], [[1, -15]], [[1, -9]], [[1, -6]], [[1, -12]], [[1, -9]], [[1, -9]], [[1, -3]], [[1, 6]], [[1, -15]], [[1, 15]], [[1, 3]], [[1, -15]], [[1, -12]], [[1, 9]], [[1, 12]], [[1, 12]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 9]], [[1, 15]]]}
  • id: 12966898
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 43, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g17', 'nt': [33, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, -3]], [[1, -12]], [[1, 12]], [[1, 6]], [[1, 9]], [[1, -6]], [[1, -9]], [[1, 15]], [[1, 3]], [[1, -15]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 9]], [[1, -12]], [[1, -15]], [[1, -9]], [[1, 12]], [[1, 15]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -9]], [[1, 6]], [[1, 12]], [[1, -12]], [[1, 15]], [[1, -15]], [[1, 9]], [[1, -8]], [[1, 13]], [[1, -16]], [[1, -7]], [[1, -13]], [[1, 10]], [[1, -2]], [[1, 16]], [[1, -5]], [[1, -1]], [[1, -10]], [[1, -14]], [[1, 7]], [[1, 1]], [[1, 5]], [[1, 14]], [[1, -4]], [[1, 2]], [[1, 8]], [[1, 4]], [[1, -13]], [[1, 16]], [[1, -5]], [[1, 7]], [[1, -10]], [[1, -16]], [[1, 10]], [[1, -1]], [[1, 8]], [[1, 4]], [[1, -8]], [[1, 5]], [[1, -7]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, 13]], [[1, -14]], [[1, -2]], [[1, 14]], [[1, 13]], [[1, -13]], [[1, 1]], [[1, 8]], [[1, 14]], [[1, 7]], [[1, -5]], [[1, -14]], [[1, -2]], [[1, 5]], [[1, -16]], [[1, -7]], [[1, -4]], [[1, 2]], [[1, 10]], [[1, 4]], [[1, 16]], [[1, -10]], [[1, -1]], [[1, -8]], [[1, 3]], [[1, -15]], [[1, 6]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, 15]], [[1, 9]], [[1, 12]], [[1, -3]], [[1, -6]], [[1, 12]], [[1, 12]], [[1, 15]], [[1, 3]], [[1, 9]], [[1, -9]], [[1, -15]], [[1, 9]], [[1, -6]], [[1, -12]], [[1, 6]], [[1, 6]], [[1, -15]], [[1, -3]], [[1, -3]], [[1, 15]], [[1, 3]], [[1, -12]], [[1, -9]]]}
  • id: 12966899
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 44, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g18', 'nt': [33, 20], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 3]], [[1, 12]], [[1, -12]], [[1, -6]], [[1, -9]], [[1, 6]], [[1, 9]], [[1, -15]], [[1, -3]], [[1, 15]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -9]], [[1, 12]], [[1, 15]], [[1, 9]], [[1, -12]], [[1, -15]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 9]], [[1, -6]], [[1, -12]], [[1, 12]], [[1, -15]], [[1, 15]], [[1, -9]], [[1, 8]], [[1, -13]], [[1, 16]], [[1, 7]], [[1, 13]], [[1, -10]], [[1, 2]], [[1, -16]], [[1, 5]], [[1, 1]], [[1, 10]], [[1, 14]], [[1, -7]], [[1, -1]], [[1, -5]], [[1, -14]], [[1, 4]], [[1, -2]], [[1, -8]], [[1, -4]], [[1, 13]], [[1, -16]], [[1, 5]], [[1, -7]], [[1, 10]], [[1, 16]], [[1, -10]], [[1, 1]], [[1, -8]], [[1, -4]], [[1, 8]], [[1, -5]], [[1, 7]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, -13]], [[1, 14]], [[1, 2]], [[1, -14]], [[1, -13]], [[1, 13]], [[1, -1]], [[1, -8]], [[1, -14]], [[1, -7]], [[1, 5]], [[1, 14]], [[1, 2]], [[1, -5]], [[1, 16]], [[1, 7]], [[1, 4]], [[1, -2]], [[1, -10]], [[1, -4]], [[1, -16]], [[1, 10]], [[1, 1]], [[1, 8]], [[1, -3]], [[1, 15]], [[1, -6]], [[1, 6]], [[1, 9]], [[1, 12]], [[1, -15]], [[1, -9]], [[1, -12]], [[1, 3]], [[1, 6]], [[1, -12]], [[1, -12]], [[1, -15]], [[1, -3]], [[1, -9]], [[1, 9]], [[1, 15]], [[1, -9]], [[1, 6]], [[1, 12]], [[1, -6]], [[1, -6]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, -15]], [[1, -3]], [[1, 12]], [[1, 9]]]}
  • id: 12966900
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 45, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g19', 'nt': [33, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 3]], [[1, 12]], [[1, -12]], [[1, -6]], [[1, -9]], [[1, 6]], [[1, 9]], [[1, -15]], [[1, -3]], [[1, 15]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -9]], [[1, 12]], [[1, 15]], [[1, 9]], [[1, -12]], [[1, -15]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 9]], [[1, -6]], [[1, -12]], [[1, 12]], [[1, -15]], [[1, 15]], [[1, -9]], [[1, -14]], [[1, -2]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 13]], [[1, -5]], [[1, 16]], [[1, -10]], [[1, -1]], [[1, -8]], [[1, 4]], [[1, 10]], [[1, -16]], [[1, 8]], [[1, -7]], [[1, -13]], [[1, 14]], [[1, 7]], [[1, 2]], [[1, -5]], [[1, 16]], [[1, 4]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, -10]], [[1, 14]], [[1, 7]], [[1, -14]], [[1, -16]], [[1, -4]], [[1, -7]], [[1, 10]], [[1, -13]], [[1, -2]], [[1, -8]], [[1, 13]], [[1, 8]], [[1, -2]], [[1, 2]], [[1, 10]], [[1, 14]], [[1, 8]], [[1, 4]], [[1, 16]], [[1, -8]], [[1, 13]], [[1, -16]], [[1, 5]], [[1, -4]], [[1, -7]], [[1, -13]], [[1, 1]], [[1, 7]], [[1, -5]], [[1, -1]], [[1, -10]], [[1, -14]], [[1, -3]], [[1, 15]], [[1, -6]], [[1, 6]], [[1, 9]], [[1, 12]], [[1, -15]], [[1, -9]], [[1, -12]], [[1, 3]], [[1, 6]], [[1, -12]], [[1, -12]], [[1, -15]], [[1, -3]], [[1, -9]], [[1, 9]], [[1, 15]], [[1, -9]], [[1, 6]], [[1, 12]], [[1, -6]], [[1, -6]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, -15]], [[1, -3]], [[1, 12]], [[1, 9]]]}
  • id: 12966881
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 28, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g2', 'nt': [33, 20], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 15]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -12]], [[1, -3]], [[1, 12]], [[1, -9]], [[1, -15]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, -15]], [[1, 15]], [[1, -12]], [[1, -6]], [[1, 9]], [[1, 12]], [[1, 6]], [[1, -9]], [[1, 3]], [[1, -3]], [[1, 15]], [[1, -15]], [[1, -3]], [[1, 12]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -9]], [[1, 9]], [[1, -12]], [[1, -4]], [[1, -10]], [[1, -8]], [[1, 13]], [[1, 10]], [[1, 5]], [[1, -1]], [[1, 8]], [[1, 14]], [[1, 16]], [[1, -5]], [[1, -7]], [[1, -13]], [[1, -16]], [[1, -14]], [[1, 7]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, 10]], [[1, 8]], [[1, 14]], [[1, -13]], [[1, -5]], [[1, -8]], [[1, 5]], [[1, 16]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -14]], [[1, 13]], [[1, -2]], [[1, -16]], [[1, 1]], [[1, -10]], [[1, -7]], [[1, -1]], [[1, 7]], [[1, -10]], [[1, 10]], [[1, -16]], [[1, 4]], [[1, 7]], [[1, -13]], [[1, 14]], [[1, -7]], [[1, -1]], [[1, -14]], [[1, -8]], [[1, 13]], [[1, -2]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, 8]], [[1, -5]], [[1, 16]], [[1, -4]], [[1, -15]], [[1, 9]], [[1, 3]], [[1, -3]], [[1, 12]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, 6]], [[1, 15]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -9]], [[1, -15]], [[1, -12]], [[1, 12]], [[1, 9]], [[1, -12]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, 15]], [[1, -9]], [[1, -15]], [[1, -6]], [[1, 12]]]}
  • id: 12966901
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 46, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g20', 'nt': [33, 20], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, -3]], [[1, -12]], [[1, 12]], [[1, 6]], [[1, 9]], [[1, -6]], [[1, -9]], [[1, 15]], [[1, 3]], [[1, -15]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 9]], [[1, -12]], [[1, -15]], [[1, -9]], [[1, 12]], [[1, 15]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -9]], [[1, 6]], [[1, 12]], [[1, -12]], [[1, 15]], [[1, -15]], [[1, 9]], [[1, 14]], [[1, 2]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -13]], [[1, 5]], [[1, -16]], [[1, 10]], [[1, 1]], [[1, 8]], [[1, -4]], [[1, -10]], [[1, 16]], [[1, -8]], [[1, 7]], [[1, 13]], [[1, -14]], [[1, -7]], [[1, -2]], [[1, 5]], [[1, -16]], [[1, -4]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, 10]], [[1, -14]], [[1, -7]], [[1, 14]], [[1, 16]], [[1, 4]], [[1, 7]], [[1, -10]], [[1, 13]], [[1, 2]], [[1, 8]], [[1, -13]], [[1, -8]], [[1, 2]], [[1, -2]], [[1, -10]], [[1, -14]], [[1, -8]], [[1, -4]], [[1, -16]], [[1, 8]], [[1, -13]], [[1, 16]], [[1, -5]], [[1, 4]], [[1, 7]], [[1, 13]], [[1, -1]], [[1, -7]], [[1, 5]], [[1, 1]], [[1, 10]], [[1, 14]], [[1, 3]], [[1, -15]], [[1, 6]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, 15]], [[1, 9]], [[1, 12]], [[1, -3]], [[1, -6]], [[1, 12]], [[1, 12]], [[1, 15]], [[1, 3]], [[1, 9]], [[1, -9]], [[1, -15]], [[1, 9]], [[1, -6]], [[1, -12]], [[1, 6]], [[1, 6]], [[1, -15]], [[1, -3]], [[1, -3]], [[1, 15]], [[1, 3]], [[1, -12]], [[1, -9]]]}
  • id: 12966882
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 29, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g3', 'nt': [33, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 15]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -12]], [[1, -3]], [[1, 12]], [[1, -9]], [[1, -15]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, -15]], [[1, 15]], [[1, -12]], [[1, -6]], [[1, 9]], [[1, 12]], [[1, 6]], [[1, -9]], [[1, 3]], [[1, -3]], [[1, 15]], [[1, -15]], [[1, -3]], [[1, 12]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -9]], [[1, 9]], [[1, -12]], [[1, 7]], [[1, 1]], [[1, 14]], [[1, 2]], [[1, -1]], [[1, 16]], [[1, 10]], [[1, -14]], [[1, -8]], [[1, 5]], [[1, -16]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, 8]], [[1, -4]], [[1, -13]], [[1, -10]], [[1, -7]], [[1, 13]], [[1, -1]], [[1, -14]], [[1, -8]], [[1, -2]], [[1, -16]], [[1, 14]], [[1, 16]], [[1, 5]], [[1, -7]], [[1, 13]], [[1, 7]], [[1, 8]], [[1, 2]], [[1, -13]], [[1, -5]], [[1, -10]], [[1, 1]], [[1, 4]], [[1, 10]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -5]], [[1, -7]], [[1, -4]], [[1, -2]], [[1, -8]], [[1, 4]], [[1, 10]], [[1, 8]], [[1, 14]], [[1, 2]], [[1, -13]], [[1, -10]], [[1, 16]], [[1, 13]], [[1, -14]], [[1, -16]], [[1, 5]], [[1, 7]], [[1, -15]], [[1, 9]], [[1, 3]], [[1, -3]], [[1, 12]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, 6]], [[1, 15]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -9]], [[1, -15]], [[1, -12]], [[1, 12]], [[1, 9]], [[1, -12]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, 15]], [[1, -9]], [[1, -15]], [[1, -6]], [[1, 12]]]}
  • id: 12966884
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 30, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g4', 'nt': [33, 20], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, -15]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 12]], [[1, 3]], [[1, -12]], [[1, 9]], [[1, 15]], [[1, -9]], [[1, 0]], [[1, 0]], [[1, 15]], [[1, -15]], [[1, 12]], [[1, 6]], [[1, -9]], [[1, -12]], [[1, -6]], [[1, 9]], [[1, -3]], [[1, 3]], [[1, -15]], [[1, 15]], [[1, 3]], [[1, -12]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 9]], [[1, -9]], [[1, 12]], [[1, -7]], [[1, -1]], [[1, -14]], [[1, -2]], [[1, 1]], [[1, -16]], [[1, -10]], [[1, 14]], [[1, 8]], [[1, -5]], [[1, 16]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, -8]], [[1, 4]], [[1, 13]], [[1, 10]], [[1, 7]], [[1, -13]], [[1, 1]], [[1, 14]], [[1, 8]], [[1, 2]], [[1, 16]], [[1, -14]], [[1, -16]], [[1, -5]], [[1, 7]], [[1, -13]], [[1, -7]], [[1, -8]], [[1, -2]], [[1, 13]], [[1, 5]], [[1, 10]], [[1, -1]], [[1, -4]], [[1, -10]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 5]], [[1, 7]], [[1, 4]], [[1, 2]], [[1, 8]], [[1, -4]], [[1, -10]], [[1, -8]], [[1, -14]], [[1, -2]], [[1, 13]], [[1, 10]], [[1, -16]], [[1, -13]], [[1, 14]], [[1, 16]], [[1, -5]], [[1, -7]], [[1, 15]], [[1, -9]], [[1, -3]], [[1, 3]], [[1, -12]], [[1, 6]], [[1, 9]], [[1, 12]], [[1, -6]], [[1, -15]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 9]], [[1, 15]], [[1, 12]], [[1, -12]], [[1, -9]], [[1, 12]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -9]], [[1, -15]], [[1, -15]], [[1, 9]], [[1, 15]], [[1, 6]], [[1, -12]]]}
  • id: 12966885
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 31, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g5', 'nt': [33, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, -12]], [[1, -15]], [[1, 15]], [[1, -9]], [[1, 3]], [[1, 9]], [[1, -3]], [[1, -6]], [[1, 12]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 12]], [[1, -12]], [[1, 3]], [[1, -15]], [[1, 6]], [[1, -3]], [[1, 15]], [[1, -6]], [[1, -9]], [[1, 9]], [[1, -12]], [[1, 12]], [[1, 9]], [[1, -3]], [[1, -9]], [[1, 15]], [[1, -15]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 1]], [[1, -14]], [[1, 2]], [[1, 5]], [[1, 14]], [[1, 7]], [[1, -8]], [[1, -2]], [[1, 13]], [[1, -4]], [[1, -7]], [[1, 10]], [[1, -5]], [[1, 4]], [[1, -13]], [[1, -10]], [[1, -16]], [[1, 8]], [[1, -1]], [[1, 16]], [[1, 14]], [[1, -2]], [[1, 13]], [[1, -5]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, -4]], [[1, -1]], [[1, 16]], [[1, 1]], [[1, -13]], [[1, 5]], [[1, -16]], [[1, 4]], [[1, 8]], [[1, -14]], [[1, 10]], [[1, -8]], [[1, -10]], [[1, -14]], [[1, 14]], [[1, 4]], [[1, -1]], [[1, -10]], [[1, -5]], [[1, 13]], [[1, 10]], [[1, -8]], [[1, -13]], [[1, 2]], [[1, 5]], [[1, -16]], [[1, 8]], [[1, 7]], [[1, 16]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, 1]], [[1, 12]], [[1, 6]], [[1, -9]], [[1, 9]], [[1, -3]], [[1, -15]], [[1, -6]], [[1, 3]], [[1, 15]], [[1, -12]], [[1, 9]], [[1, 15]], [[1, 15]], [[1, -6]], [[1, 12]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 9]], [[1, -15]], [[1, -9]], [[1, -9]], [[1, 6]], [[1, -12]], [[1, -12]], [[1, -6]], [[1, 12]], [[1, -15]], [[1, -3]]]}
  • id: 12966886
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 32, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g6', 'nt': [33, 20], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 12]], [[1, 15]], [[1, -15]], [[1, 9]], [[1, -3]], [[1, -9]], [[1, 3]], [[1, 6]], [[1, -12]], [[1, -6]], [[1, 0]], [[1, 0]], [[1, -12]], [[1, 12]], [[1, -3]], [[1, 15]], [[1, -6]], [[1, 3]], [[1, -15]], [[1, 6]], [[1, 9]], [[1, -9]], [[1, 12]], [[1, -12]], [[1, -9]], [[1, 3]], [[1, 9]], [[1, -15]], [[1, 15]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -1]], [[1, 14]], [[1, -2]], [[1, -5]], [[1, -14]], [[1, -7]], [[1, 8]], [[1, 2]], [[1, -13]], [[1, 4]], [[1, 7]], [[1, -10]], [[1, 5]], [[1, -4]], [[1, 13]], [[1, 10]], [[1, 16]], [[1, -8]], [[1, 1]], [[1, -16]], [[1, -14]], [[1, 2]], [[1, -13]], [[1, 5]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, 4]], [[1, 1]], [[1, -16]], [[1, -1]], [[1, 13]], [[1, -5]], [[1, 16]], [[1, -4]], [[1, -8]], [[1, 14]], [[1, -10]], [[1, 8]], [[1, 10]], [[1, 14]], [[1, -14]], [[1, -4]], [[1, 1]], [[1, 10]], [[1, 5]], [[1, -13]], [[1, -10]], [[1, 8]], [[1, 13]], [[1, -2]], [[1, -5]], [[1, 16]], [[1, -8]], [[1, -7]], [[1, -16]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, -1]], [[1, -12]], [[1, -6]], [[1, 9]], [[1, -9]], [[1, 3]], [[1, 15]], [[1, 6]], [[1, -3]], [[1, -15]], [[1, 12]], [[1, -9]], [[1, -15]], [[1, -15]], [[1, 6]], [[1, -12]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, -9]], [[1, 15]], [[1, 9]], [[1, 9]], [[1, -6]], [[1, 12]], [[1, 12]], [[1, 6]], [[1, -12]], [[1, 15]], [[1, 3]]]}
  • id: 12966887
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 33, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g7', 'nt': [33, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 12]], [[1, 15]], [[1, -15]], [[1, 9]], [[1, -3]], [[1, -9]], [[1, 3]], [[1, 6]], [[1, -12]], [[1, -6]], [[1, 0]], [[1, 0]], [[1, -12]], [[1, 12]], [[1, -3]], [[1, 15]], [[1, -6]], [[1, 3]], [[1, -15]], [[1, 6]], [[1, 9]], [[1, -9]], [[1, 12]], [[1, -12]], [[1, -9]], [[1, 3]], [[1, 9]], [[1, -15]], [[1, 15]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 10]], [[1, -8]], [[1, -13]], [[1, -16]], [[1, 8]], [[1, 4]], [[1, -14]], [[1, 13]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, 1]], [[1, 16]], [[1, 7]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, 14]], [[1, -10]], [[1, -5]], [[1, 8]], [[1, 13]], [[1, -2]], [[1, 16]], [[1, -4]], [[1, -13]], [[1, 4]], [[1, -7]], [[1, -10]], [[1, -5]], [[1, 10]], [[1, 2]], [[1, -16]], [[1, 5]], [[1, 7]], [[1, 14]], [[1, -8]], [[1, 1]], [[1, -14]], [[1, -1]], [[1, -8]], [[1, 8]], [[1, 7]], [[1, -10]], [[1, -1]], [[1, 16]], [[1, -2]], [[1, 1]], [[1, -14]], [[1, 2]], [[1, -13]], [[1, -16]], [[1, 5]], [[1, 14]], [[1, 4]], [[1, -5]], [[1, 13]], [[1, -4]], [[1, -7]], [[1, 10]], [[1, -12]], [[1, -6]], [[1, 9]], [[1, -9]], [[1, 3]], [[1, 15]], [[1, 6]], [[1, -3]], [[1, -15]], [[1, 12]], [[1, -9]], [[1, -15]], [[1, -15]], [[1, 6]], [[1, -12]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, -9]], [[1, 15]], [[1, 9]], [[1, 9]], [[1, -6]], [[1, 12]], [[1, 12]], [[1, 6]], [[1, -12]], [[1, 15]], [[1, 3]]]}
  • id: 12966888
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 34, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g8', 'nt': [33, 20], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, -12]], [[1, -15]], [[1, 15]], [[1, -9]], [[1, 3]], [[1, 9]], [[1, -3]], [[1, -6]], [[1, 12]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 12]], [[1, -12]], [[1, 3]], [[1, -15]], [[1, 6]], [[1, -3]], [[1, 15]], [[1, -6]], [[1, -9]], [[1, 9]], [[1, -12]], [[1, 12]], [[1, 9]], [[1, -3]], [[1, -9]], [[1, 15]], [[1, -15]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -10]], [[1, 8]], [[1, 13]], [[1, 16]], [[1, -8]], [[1, -4]], [[1, 14]], [[1, -13]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, -1]], [[1, -16]], [[1, -7]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, -14]], [[1, 10]], [[1, 5]], [[1, -8]], [[1, -13]], [[1, 2]], [[1, -16]], [[1, 4]], [[1, 13]], [[1, -4]], [[1, 7]], [[1, 10]], [[1, 5]], [[1, -10]], [[1, -2]], [[1, 16]], [[1, -5]], [[1, -7]], [[1, -14]], [[1, 8]], [[1, -1]], [[1, 14]], [[1, 1]], [[1, 8]], [[1, -8]], [[1, -7]], [[1, 10]], [[1, 1]], [[1, -16]], [[1, 2]], [[1, -1]], [[1, 14]], [[1, -2]], [[1, 13]], [[1, 16]], [[1, -5]], [[1, -14]], [[1, -4]], [[1, 5]], [[1, -13]], [[1, 4]], [[1, 7]], [[1, -10]], [[1, 12]], [[1, 6]], [[1, -9]], [[1, 9]], [[1, -3]], [[1, -15]], [[1, -6]], [[1, 3]], [[1, 15]], [[1, -12]], [[1, 9]], [[1, 15]], [[1, 15]], [[1, -6]], [[1, 12]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 9]], [[1, -15]], [[1, -9]], [[1, -9]], [[1, 6]], [[1, -12]], [[1, -12]], [[1, -6]], [[1, 12]], [[1, -15]], [[1, -3]]]}
  • id: 12966889
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 35, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '33.1', 'image_order': 33, 'indicator': 0, 'kernel': '33.a1.a1', 'kernel_order': 42, 'label': '1386.18.1g9', 'nt': [33, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, -9]], [[1, -3]], [[1, 3]], [[1, -15]], [[1, -6]], [[1, 15]], [[1, 6]], [[1, 12]], [[1, 9]], [[1, -12]], [[1, 0]], [[1, 0]], [[1, 9]], [[1, -9]], [[1, -6]], [[1, -3]], [[1, -12]], [[1, 6]], [[1, 3]], [[1, 12]], [[1, -15]], [[1, 15]], [[1, -9]], [[1, 9]], [[1, 15]], [[1, 6]], [[1, -15]], [[1, 3]], [[1, -3]], [[1, 12]], [[1, -12]], [[1, -6]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, -10]], [[1, 5]], [[1, -14]], [[1, 16]], [[1, 4]], [[1, 7]], [[1, 8]], [[1, 14]], [[1, 13]], [[1, 10]], [[1, -8]], [[1, -7]], [[1, -13]], [[1, -1]], [[1, -16]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, 4]], [[1, 7]], [[1, 10]], [[1, 14]], [[1, -4]], [[1, -14]], [[1, 8]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -7]], [[1, -10]], [[1, -1]], [[1, -8]], [[1, -16]], [[1, -5]], [[1, 13]], [[1, 16]], [[1, -13]], [[1, -5]], [[1, 5]], [[1, -8]], [[1, 2]], [[1, -13]], [[1, 10]], [[1, 7]], [[1, 13]], [[1, 16]], [[1, -7]], [[1, -4]], [[1, -10]], [[1, -1]], [[1, -16]], [[1, -14]], [[1, 1]], [[1, 4]], [[1, 14]], [[1, 8]], [[1, -2]], [[1, 9]], [[1, -12]], [[1, -15]], [[1, 15]], [[1, 6]], [[1, -3]], [[1, 12]], [[1, -6]], [[1, 3]], [[1, -9]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, 12]], [[1, 9]], [[1, -6]], [[1, 6]], [[1, -12]], [[1, -6]], [[1, 15]], [[1, -3]], [[1, -15]], [[1, -15]], [[1, -12]], [[1, -9]], [[1, -9]], [[1, 12]], [[1, 9]], [[1, -3]], [[1, 6]]]}
  • id: 12966902
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 47, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h1', 'nt': [66, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, -15]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 12]], [[1, 3]], [[1, -12]], [[1, 9]], [[1, 15]], [[1, -9]], [[1, 0]], [[1, 0]], [[-1, 15]], [[-1, -15]], [[-1, 12]], [[-1, 6]], [[-1, -9]], [[-1, -12]], [[-1, -6]], [[-1, 9]], [[-1, -3]], [[-1, 3]], [[1, -15]], [[1, 15]], [[1, 3]], [[1, -12]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 9]], [[1, -9]], [[1, 12]], [[1, 4]], [[1, 10]], [[1, 8]], [[1, -13]], [[1, -10]], [[1, -5]], [[1, 1]], [[1, -8]], [[1, -14]], [[1, -16]], [[1, 5]], [[1, 7]], [[1, 13]], [[1, 16]], [[1, 14]], [[1, -7]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, -10]], [[1, -8]], [[1, -14]], [[1, 13]], [[1, 5]], [[1, 8]], [[1, -5]], [[1, -16]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 14]], [[1, -13]], [[1, 2]], [[1, 16]], [[1, -1]], [[1, 10]], [[1, 7]], [[1, 1]], [[1, -7]], [[-1, 10]], [[-1, -10]], [[-1, 16]], [[-1, -4]], [[-1, -7]], [[-1, 13]], [[-1, -14]], [[-1, 7]], [[-1, 1]], [[-1, 14]], [[-1, 8]], [[-1, -13]], [[-1, 2]], [[-1, -1]], [[-1, -5]], [[-1, -2]], [[-1, -8]], [[-1, 5]], [[-1, -16]], [[-1, 4]], [[1, 15]], [[1, -9]], [[1, -3]], [[1, 3]], [[1, -12]], [[1, 6]], [[1, 9]], [[1, 12]], [[1, -6]], [[1, -15]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 9]], [[1, 15]], [[1, 12]], [[1, -12]], [[1, -9]], [[1, 12]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -9]], [[1, -15]], [[1, -15]], [[1, 9]], [[1, 15]], [[1, 6]], [[1, -12]]]}
  • id: 12966912
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 56, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h10', 'nt': [66, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, 9]], [[1, 3]], [[1, -3]], [[1, 15]], [[1, 6]], [[1, -15]], [[1, -6]], [[1, -12]], [[1, -9]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, -9]], [[-1, 9]], [[-1, 6]], [[-1, 3]], [[-1, 12]], [[-1, -6]], [[-1, -3]], [[-1, -12]], [[-1, 15]], [[-1, -15]], [[1, 9]], [[1, -9]], [[1, -15]], [[1, -6]], [[1, 15]], [[1, -3]], [[1, 3]], [[1, -12]], [[1, 12]], [[1, 6]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, 10]], [[1, -5]], [[1, 14]], [[1, -16]], [[1, -4]], [[1, -7]], [[1, -8]], [[1, -14]], [[1, -13]], [[1, -10]], [[1, 8]], [[1, 7]], [[1, 13]], [[1, 1]], [[1, 16]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, -4]], [[1, -7]], [[1, -10]], [[1, -14]], [[1, 4]], [[1, 14]], [[1, -8]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 7]], [[1, 10]], [[1, 1]], [[1, 8]], [[1, 16]], [[1, 5]], [[1, -13]], [[1, -16]], [[1, 13]], [[-1, 5]], [[-1, -5]], [[-1, 8]], [[-1, -2]], [[-1, 13]], [[-1, -10]], [[-1, -7]], [[-1, -13]], [[-1, -16]], [[-1, 7]], [[-1, 4]], [[-1, 10]], [[-1, 1]], [[-1, 16]], [[-1, 14]], [[-1, -1]], [[-1, -4]], [[-1, -14]], [[-1, -8]], [[-1, 2]], [[1, -9]], [[1, 12]], [[1, 15]], [[1, -15]], [[1, -6]], [[1, 3]], [[1, -12]], [[1, 6]], [[1, -3]], [[1, 9]], [[1, -15]], [[1, -3]], [[1, -3]], [[1, -12]], [[1, -9]], [[1, 6]], [[1, -6]], [[1, 12]], [[1, 6]], [[1, -15]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 12]], [[1, 9]], [[1, 9]], [[1, -12]], [[1, -9]], [[1, 3]], [[1, -6]]]}
  • id: 12966913
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 57, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h11', 'nt': [66, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, 9]], [[1, 3]], [[1, -3]], [[1, 15]], [[1, 6]], [[1, -15]], [[1, -6]], [[1, -12]], [[1, -9]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, -9]], [[-1, 9]], [[-1, 6]], [[-1, 3]], [[-1, 12]], [[-1, -6]], [[-1, -3]], [[-1, -12]], [[-1, 15]], [[-1, -15]], [[1, 9]], [[1, -9]], [[1, -15]], [[1, -6]], [[1, 15]], [[1, -3]], [[1, 3]], [[1, -12]], [[1, 12]], [[1, 6]], [[1, 13]], [[1, 16]], [[1, -7]], [[1, -1]], [[1, -16]], [[1, -8]], [[1, -5]], [[1, 7]], [[1, 4]], [[1, 14]], [[1, 8]], [[1, -2]], [[1, 1]], [[1, -14]], [[1, -4]], [[1, 2]], [[1, -10]], [[1, 5]], [[1, -13]], [[1, 10]], [[1, -16]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, 8]], [[1, -7]], [[1, -8]], [[1, 14]], [[1, -13]], [[1, 10]], [[1, 13]], [[1, -4]], [[1, -1]], [[1, -10]], [[1, -14]], [[1, 5]], [[1, 16]], [[1, -2]], [[1, -5]], [[1, 2]], [[-1, 16]], [[-1, -16]], [[-1, -14]], [[-1, -13]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -5]], [[-1, -4]], [[-1, -7]], [[-1, -1]], [[-1, -10]], [[-1, 5]], [[-1, -8]], [[-1, 10]], [[-1, 7]], [[-1, 8]], [[-1, 14]], [[-1, 13]], [[1, -9]], [[1, 12]], [[1, 15]], [[1, -15]], [[1, -6]], [[1, 3]], [[1, -12]], [[1, 6]], [[1, -3]], [[1, 9]], [[1, -15]], [[1, -3]], [[1, -3]], [[1, -12]], [[1, -9]], [[1, 6]], [[1, -6]], [[1, 12]], [[1, 6]], [[1, -15]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 12]], [[1, 9]], [[1, 9]], [[1, -12]], [[1, -9]], [[1, 3]], [[1, -6]]]}
  • id: 12966914
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 58, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h12', 'nt': [66, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, -9]], [[1, -3]], [[1, 3]], [[1, -15]], [[1, -6]], [[1, 15]], [[1, 6]], [[1, 12]], [[1, 9]], [[1, -12]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, -9]], [[-1, -6]], [[-1, -3]], [[-1, -12]], [[-1, 6]], [[-1, 3]], [[-1, 12]], [[-1, -15]], [[-1, 15]], [[1, -9]], [[1, 9]], [[1, 15]], [[1, 6]], [[1, -15]], [[1, 3]], [[1, -3]], [[1, 12]], [[1, -12]], [[1, -6]], [[1, -13]], [[1, -16]], [[1, 7]], [[1, 1]], [[1, 16]], [[1, 8]], [[1, 5]], [[1, -7]], [[1, -4]], [[1, -14]], [[1, -8]], [[1, 2]], [[1, -1]], [[1, 14]], [[1, 4]], [[1, -2]], [[1, 10]], [[1, -5]], [[1, 13]], [[1, -10]], [[1, 16]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, -8]], [[1, 7]], [[1, 8]], [[1, -14]], [[1, 13]], [[1, -10]], [[1, -13]], [[1, 4]], [[1, 1]], [[1, 10]], [[1, 14]], [[1, -5]], [[1, -16]], [[1, 2]], [[1, 5]], [[1, -2]], [[-1, -16]], [[-1, 16]], [[-1, 14]], [[-1, 13]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 5]], [[-1, 4]], [[-1, 7]], [[-1, 1]], [[-1, 10]], [[-1, -5]], [[-1, 8]], [[-1, -10]], [[-1, -7]], [[-1, -8]], [[-1, -14]], [[-1, -13]], [[1, 9]], [[1, -12]], [[1, -15]], [[1, 15]], [[1, 6]], [[1, -3]], [[1, 12]], [[1, -6]], [[1, 3]], [[1, -9]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, 12]], [[1, 9]], [[1, -6]], [[1, 6]], [[1, -12]], [[1, -6]], [[1, 15]], [[1, -3]], [[1, -15]], [[1, -15]], [[1, -12]], [[1, -9]], [[1, -9]], [[1, 12]], [[1, 9]], [[1, -3]], [[1, 6]]]}
  • id: 12966915
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 59, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h13', 'nt': [66, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, -6]], [[1, 9]], [[1, -9]], [[1, 12]], [[1, -15]], [[1, -12]], [[1, 15]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 6]], [[-1, -6]], [[-1, -15]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[-1, -9]], [[-1, -3]], [[-1, 12]], [[-1, -12]], [[1, -6]], [[1, 6]], [[1, -12]], [[1, 15]], [[1, 12]], [[1, -9]], [[1, 9]], [[1, -3]], [[1, 3]], [[1, -15]], [[1, -5]], [[1, 4]], [[1, -10]], [[1, 8]], [[1, -4]], [[1, -2]], [[1, 7]], [[1, 10]], [[1, 1]], [[1, -13]], [[1, 2]], [[1, 16]], [[1, -8]], [[1, 13]], [[1, -1]], [[1, -16]], [[1, 14]], [[1, -7]], [[1, 5]], [[1, -14]], [[1, -4]], [[1, 10]], [[1, 1]], [[1, -8]], [[1, 2]], [[1, -10]], [[1, -2]], [[1, -13]], [[1, 5]], [[1, -14]], [[1, -5]], [[1, -1]], [[1, 8]], [[1, 14]], [[1, 13]], [[1, -7]], [[1, 4]], [[1, 16]], [[1, 7]], [[1, -16]], [[-1, 4]], [[-1, -4]], [[-1, 13]], [[-1, 5]], [[-1, -16]], [[-1, -8]], [[-1, 1]], [[-1, 16]], [[-1, 7]], [[-1, -1]], [[-1, -10]], [[-1, 8]], [[-1, 14]], [[-1, -7]], [[-1, -2]], [[-1, -14]], [[-1, 10]], [[-1, 2]], [[-1, -13]], [[-1, -5]], [[1, 6]], [[1, 3]], [[1, 12]], [[1, -12]], [[1, 15]], [[1, 9]], [[1, -3]], [[1, -15]], [[1, -9]], [[1, -6]], [[1, -12]], [[1, -9]], [[1, -9]], [[1, -3]], [[1, 6]], [[1, -15]], [[1, 15]], [[1, 3]], [[1, -15]], [[1, -12]], [[1, 9]], [[1, 12]], [[1, 12]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 9]], [[1, 15]]]}
  • id: 12966917
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 60, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h14', 'nt': [66, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, 6]], [[1, -9]], [[1, 9]], [[1, -12]], [[1, 15]], [[1, 12]], [[1, -15]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 0]], [[1, 0]], [[-1, -6]], [[-1, 6]], [[-1, 15]], [[-1, -9]], [[-1, -3]], [[-1, -15]], [[-1, 9]], [[-1, 3]], [[-1, -12]], [[-1, 12]], [[1, 6]], [[1, -6]], [[1, 12]], [[1, -15]], [[1, -12]], [[1, 9]], [[1, -9]], [[1, 3]], [[1, -3]], [[1, 15]], [[1, 5]], [[1, -4]], [[1, 10]], [[1, -8]], [[1, 4]], [[1, 2]], [[1, -7]], [[1, -10]], [[1, -1]], [[1, 13]], [[1, -2]], [[1, -16]], [[1, 8]], [[1, -13]], [[1, 1]], [[1, 16]], [[1, -14]], [[1, 7]], [[1, -5]], [[1, 14]], [[1, 4]], [[1, -10]], [[1, -1]], [[1, 8]], [[1, -2]], [[1, 10]], [[1, 2]], [[1, 13]], [[1, -5]], [[1, 14]], [[1, 5]], [[1, 1]], [[1, -8]], [[1, -14]], [[1, -13]], [[1, 7]], [[1, -4]], [[1, -16]], [[1, -7]], [[1, 16]], [[-1, -4]], [[-1, 4]], [[-1, -13]], [[-1, -5]], [[-1, 16]], [[-1, 8]], [[-1, -1]], [[-1, -16]], [[-1, -7]], [[-1, 1]], [[-1, 10]], [[-1, -8]], [[-1, -14]], [[-1, 7]], [[-1, 2]], [[-1, 14]], [[-1, -10]], [[-1, -2]], [[-1, 13]], [[-1, 5]], [[1, -6]], [[1, -3]], [[1, -12]], [[1, 12]], [[1, -15]], [[1, -9]], [[1, 3]], [[1, 15]], [[1, 9]], [[1, 6]], [[1, 12]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, -6]], [[1, 15]], [[1, -15]], [[1, -3]], [[1, 15]], [[1, 12]], [[1, -9]], [[1, -12]], [[1, -12]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, -9]], [[1, -15]]]}
  • id: 12966918
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 61, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h15', 'nt': [66, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, 6]], [[1, -9]], [[1, 9]], [[1, -12]], [[1, 15]], [[1, 12]], [[1, -15]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 0]], [[1, 0]], [[-1, -6]], [[-1, 6]], [[-1, 15]], [[-1, -9]], [[-1, -3]], [[-1, -15]], [[-1, 9]], [[-1, 3]], [[-1, -12]], [[-1, 12]], [[1, 6]], [[1, -6]], [[1, 12]], [[1, -15]], [[1, -12]], [[1, 9]], [[1, -9]], [[1, 3]], [[1, -3]], [[1, 15]], [[1, 16]], [[1, 7]], [[1, -1]], [[1, 14]], [[1, -7]], [[1, 13]], [[1, 4]], [[1, 1]], [[1, 10]], [[1, 2]], [[1, -13]], [[1, -5]], [[1, -14]], [[1, -2]], [[1, -10]], [[1, 5]], [[1, 8]], [[1, -4]], [[1, -16]], [[1, -8]], [[1, -7]], [[1, 1]], [[1, 10]], [[1, -14]], [[1, -13]], [[1, -1]], [[1, 13]], [[1, 2]], [[1, -16]], [[1, -8]], [[1, 16]], [[1, -10]], [[1, 14]], [[1, 8]], [[1, -2]], [[1, -4]], [[1, 7]], [[1, -5]], [[1, 4]], [[1, 5]], [[-1, 7]], [[-1, -7]], [[-1, -2]], [[-1, -16]], [[-1, 5]], [[-1, -14]], [[-1, 10]], [[-1, -5]], [[-1, 4]], [[-1, -10]], [[-1, -1]], [[-1, 14]], [[-1, 8]], [[-1, -4]], [[-1, 13]], [[-1, -8]], [[-1, 1]], [[-1, -13]], [[-1, 2]], [[-1, 16]], [[1, -6]], [[1, -3]], [[1, -12]], [[1, 12]], [[1, -15]], [[1, -9]], [[1, 3]], [[1, 15]], [[1, 9]], [[1, 6]], [[1, 12]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, -6]], [[1, 15]], [[1, -15]], [[1, -3]], [[1, 15]], [[1, 12]], [[1, -9]], [[1, -12]], [[1, -12]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, -9]], [[1, -15]]]}
  • id: 12966919
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 62, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h16', 'nt': [66, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, -6]], [[1, 9]], [[1, -9]], [[1, 12]], [[1, -15]], [[1, -12]], [[1, 15]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 6]], [[-1, -6]], [[-1, -15]], [[-1, 9]], [[-1, 3]], [[-1, 15]], [[-1, -9]], [[-1, -3]], [[-1, 12]], [[-1, -12]], [[1, -6]], [[1, 6]], [[1, -12]], [[1, 15]], [[1, 12]], [[1, -9]], [[1, 9]], [[1, -3]], [[1, 3]], [[1, -15]], [[1, -16]], [[1, -7]], [[1, 1]], [[1, -14]], [[1, 7]], [[1, -13]], [[1, -4]], [[1, -1]], [[1, -10]], [[1, -2]], [[1, 13]], [[1, 5]], [[1, 14]], [[1, 2]], [[1, 10]], [[1, -5]], [[1, -8]], [[1, 4]], [[1, 16]], [[1, 8]], [[1, 7]], [[1, -1]], [[1, -10]], [[1, 14]], [[1, 13]], [[1, 1]], [[1, -13]], [[1, -2]], [[1, 16]], [[1, 8]], [[1, -16]], [[1, 10]], [[1, -14]], [[1, -8]], [[1, 2]], [[1, 4]], [[1, -7]], [[1, 5]], [[1, -4]], [[1, -5]], [[-1, -7]], [[-1, 7]], [[-1, 2]], [[-1, 16]], [[-1, -5]], [[-1, 14]], [[-1, -10]], [[-1, 5]], [[-1, -4]], [[-1, 10]], [[-1, 1]], [[-1, -14]], [[-1, -8]], [[-1, 4]], [[-1, -13]], [[-1, 8]], [[-1, -1]], [[-1, 13]], [[-1, -2]], [[-1, -16]], [[1, 6]], [[1, 3]], [[1, 12]], [[1, -12]], [[1, 15]], [[1, 9]], [[1, -3]], [[1, -15]], [[1, -9]], [[1, -6]], [[1, -12]], [[1, -9]], [[1, -9]], [[1, -3]], [[1, 6]], [[1, -15]], [[1, 15]], [[1, 3]], [[1, -15]], [[1, -12]], [[1, 9]], [[1, 12]], [[1, 12]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 9]], [[1, 15]]]}
  • id: 12966920
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 63, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h17', 'nt': [66, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, -3]], [[1, -12]], [[1, 12]], [[1, 6]], [[1, 9]], [[1, -6]], [[1, -9]], [[1, 15]], [[1, 3]], [[1, -15]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 9]], [[-1, -12]], [[-1, -15]], [[-1, -9]], [[-1, 12]], [[-1, 15]], [[-1, 6]], [[-1, -6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -9]], [[1, 6]], [[1, 12]], [[1, -12]], [[1, 15]], [[1, -15]], [[1, 9]], [[1, -8]], [[1, 13]], [[1, -16]], [[1, -7]], [[1, -13]], [[1, 10]], [[1, -2]], [[1, 16]], [[1, -5]], [[1, -1]], [[1, -10]], [[1, -14]], [[1, 7]], [[1, 1]], [[1, 5]], [[1, 14]], [[1, -4]], [[1, 2]], [[1, 8]], [[1, 4]], [[1, -13]], [[1, 16]], [[1, -5]], [[1, 7]], [[1, -10]], [[1, -16]], [[1, 10]], [[1, -1]], [[1, 8]], [[1, 4]], [[1, -8]], [[1, 5]], [[1, -7]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, 13]], [[1, -14]], [[1, -2]], [[1, 14]], [[-1, 13]], [[-1, -13]], [[-1, 1]], [[-1, 8]], [[-1, 14]], [[-1, 7]], [[-1, -5]], [[-1, -14]], [[-1, -2]], [[-1, 5]], [[-1, -16]], [[-1, -7]], [[-1, -4]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[-1, 16]], [[-1, -10]], [[-1, -1]], [[-1, -8]], [[1, 3]], [[1, -15]], [[1, 6]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, 15]], [[1, 9]], [[1, 12]], [[1, -3]], [[1, -6]], [[1, 12]], [[1, 12]], [[1, 15]], [[1, 3]], [[1, 9]], [[1, -9]], [[1, -15]], [[1, 9]], [[1, -6]], [[1, -12]], [[1, 6]], [[1, 6]], [[1, -15]], [[1, -3]], [[1, -3]], [[1, 15]], [[1, 3]], [[1, -12]], [[1, -9]]]}
  • id: 12966921
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 64, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h18', 'nt': [66, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, 3]], [[1, 12]], [[1, -12]], [[1, -6]], [[1, -9]], [[1, 6]], [[1, 9]], [[1, -15]], [[1, -3]], [[1, 15]], [[1, 0]], [[1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -9]], [[-1, 12]], [[-1, 15]], [[-1, 9]], [[-1, -12]], [[-1, -15]], [[-1, -6]], [[-1, 6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 9]], [[1, -6]], [[1, -12]], [[1, 12]], [[1, -15]], [[1, 15]], [[1, -9]], [[1, 8]], [[1, -13]], [[1, 16]], [[1, 7]], [[1, 13]], [[1, -10]], [[1, 2]], [[1, -16]], [[1, 5]], [[1, 1]], [[1, 10]], [[1, 14]], [[1, -7]], [[1, -1]], [[1, -5]], [[1, -14]], [[1, 4]], [[1, -2]], [[1, -8]], [[1, -4]], [[1, 13]], [[1, -16]], [[1, 5]], [[1, -7]], [[1, 10]], [[1, 16]], [[1, -10]], [[1, 1]], [[1, -8]], [[1, -4]], [[1, 8]], [[1, -5]], [[1, 7]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, -13]], [[1, 14]], [[1, 2]], [[1, -14]], [[-1, -13]], [[-1, 13]], [[-1, -1]], [[-1, -8]], [[-1, -14]], [[-1, -7]], [[-1, 5]], [[-1, 14]], [[-1, 2]], [[-1, -5]], [[-1, 16]], [[-1, 7]], [[-1, 4]], [[-1, -2]], [[-1, -10]], [[-1, -4]], [[-1, -16]], [[-1, 10]], [[-1, 1]], [[-1, 8]], [[1, -3]], [[1, 15]], [[1, -6]], [[1, 6]], [[1, 9]], [[1, 12]], [[1, -15]], [[1, -9]], [[1, -12]], [[1, 3]], [[1, 6]], [[1, -12]], [[1, -12]], [[1, -15]], [[1, -3]], [[1, -9]], [[1, 9]], [[1, 15]], [[1, -9]], [[1, 6]], [[1, 12]], [[1, -6]], [[1, -6]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, -15]], [[1, -3]], [[1, 12]], [[1, 9]]]}
  • id: 12966922
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 65, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h19', 'nt': [66, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, 3]], [[1, 12]], [[1, -12]], [[1, -6]], [[1, -9]], [[1, 6]], [[1, 9]], [[1, -15]], [[1, -3]], [[1, 15]], [[1, 0]], [[1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -9]], [[-1, 12]], [[-1, 15]], [[-1, 9]], [[-1, -12]], [[-1, -15]], [[-1, -6]], [[-1, 6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 9]], [[1, -6]], [[1, -12]], [[1, 12]], [[1, -15]], [[1, 15]], [[1, -9]], [[1, -14]], [[1, -2]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 13]], [[1, -5]], [[1, 16]], [[1, -10]], [[1, -1]], [[1, -8]], [[1, 4]], [[1, 10]], [[1, -16]], [[1, 8]], [[1, -7]], [[1, -13]], [[1, 14]], [[1, 7]], [[1, 2]], [[1, -5]], [[1, 16]], [[1, 4]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, -10]], [[1, 14]], [[1, 7]], [[1, -14]], [[1, -16]], [[1, -4]], [[1, -7]], [[1, 10]], [[1, -13]], [[1, -2]], [[1, -8]], [[1, 13]], [[1, 8]], [[-1, -2]], [[-1, 2]], [[-1, 10]], [[-1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 16]], [[-1, -8]], [[-1, 13]], [[-1, -16]], [[-1, 5]], [[-1, -4]], [[-1, -7]], [[-1, -13]], [[-1, 1]], [[-1, 7]], [[-1, -5]], [[-1, -1]], [[-1, -10]], [[-1, -14]], [[1, -3]], [[1, 15]], [[1, -6]], [[1, 6]], [[1, 9]], [[1, 12]], [[1, -15]], [[1, -9]], [[1, -12]], [[1, 3]], [[1, 6]], [[1, -12]], [[1, -12]], [[1, -15]], [[1, -3]], [[1, -9]], [[1, 9]], [[1, 15]], [[1, -9]], [[1, 6]], [[1, 12]], [[1, -6]], [[1, -6]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, -15]], [[1, -3]], [[1, 12]], [[1, 9]]]}
  • id: 12966903
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 48, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h2', 'nt': [66, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, 15]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -12]], [[1, -3]], [[1, 12]], [[1, -9]], [[1, -15]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, -15]], [[-1, 15]], [[-1, -12]], [[-1, -6]], [[-1, 9]], [[-1, 12]], [[-1, 6]], [[-1, -9]], [[-1, 3]], [[-1, -3]], [[1, 15]], [[1, -15]], [[1, -3]], [[1, 12]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -9]], [[1, 9]], [[1, -12]], [[1, -4]], [[1, -10]], [[1, -8]], [[1, 13]], [[1, 10]], [[1, 5]], [[1, -1]], [[1, 8]], [[1, 14]], [[1, 16]], [[1, -5]], [[1, -7]], [[1, -13]], [[1, -16]], [[1, -14]], [[1, 7]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, 10]], [[1, 8]], [[1, 14]], [[1, -13]], [[1, -5]], [[1, -8]], [[1, 5]], [[1, 16]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -14]], [[1, 13]], [[1, -2]], [[1, -16]], [[1, 1]], [[1, -10]], [[1, -7]], [[1, -1]], [[1, 7]], [[-1, -10]], [[-1, 10]], [[-1, -16]], [[-1, 4]], [[-1, 7]], [[-1, -13]], [[-1, 14]], [[-1, -7]], [[-1, -1]], [[-1, -14]], [[-1, -8]], [[-1, 13]], [[-1, -2]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[-1, 8]], [[-1, -5]], [[-1, 16]], [[-1, -4]], [[1, -15]], [[1, 9]], [[1, 3]], [[1, -3]], [[1, 12]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, 6]], [[1, 15]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -9]], [[1, -15]], [[1, -12]], [[1, 12]], [[1, 9]], [[1, -12]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, 15]], [[1, -9]], [[1, -15]], [[1, -6]], [[1, 12]]]}
  • id: 12966923
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 66, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h20', 'nt': [66, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, -3]], [[1, -12]], [[1, 12]], [[1, 6]], [[1, 9]], [[1, -6]], [[1, -9]], [[1, 15]], [[1, 3]], [[1, -15]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 9]], [[-1, -12]], [[-1, -15]], [[-1, -9]], [[-1, 12]], [[-1, 15]], [[-1, 6]], [[-1, -6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -9]], [[1, 6]], [[1, 12]], [[1, -12]], [[1, 15]], [[1, -15]], [[1, 9]], [[1, 14]], [[1, 2]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -13]], [[1, 5]], [[1, -16]], [[1, 10]], [[1, 1]], [[1, 8]], [[1, -4]], [[1, -10]], [[1, 16]], [[1, -8]], [[1, 7]], [[1, 13]], [[1, -14]], [[1, -7]], [[1, -2]], [[1, 5]], [[1, -16]], [[1, -4]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, 10]], [[1, -14]], [[1, -7]], [[1, 14]], [[1, 16]], [[1, 4]], [[1, 7]], [[1, -10]], [[1, 13]], [[1, 2]], [[1, 8]], [[1, -13]], [[1, -8]], [[-1, 2]], [[-1, -2]], [[-1, -10]], [[-1, -14]], [[-1, -8]], [[-1, -4]], [[-1, -16]], [[-1, 8]], [[-1, -13]], [[-1, 16]], [[-1, -5]], [[-1, 4]], [[-1, 7]], [[-1, 13]], [[-1, -1]], [[-1, -7]], [[-1, 5]], [[-1, 1]], [[-1, 10]], [[-1, 14]], [[1, 3]], [[1, -15]], [[1, 6]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, 15]], [[1, 9]], [[1, 12]], [[1, -3]], [[1, -6]], [[1, 12]], [[1, 12]], [[1, 15]], [[1, 3]], [[1, 9]], [[1, -9]], [[1, -15]], [[1, 9]], [[1, -6]], [[1, -12]], [[1, 6]], [[1, 6]], [[1, -15]], [[1, -3]], [[1, -3]], [[1, 15]], [[1, 3]], [[1, -12]], [[1, -9]]]}
  • id: 12966904
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 49, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h3', 'nt': [66, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, 15]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -12]], [[1, -3]], [[1, 12]], [[1, -9]], [[1, -15]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, -15]], [[-1, 15]], [[-1, -12]], [[-1, -6]], [[-1, 9]], [[-1, 12]], [[-1, 6]], [[-1, -9]], [[-1, 3]], [[-1, -3]], [[1, 15]], [[1, -15]], [[1, -3]], [[1, 12]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -9]], [[1, 9]], [[1, -12]], [[1, 7]], [[1, 1]], [[1, 14]], [[1, 2]], [[1, -1]], [[1, 16]], [[1, 10]], [[1, -14]], [[1, -8]], [[1, 5]], [[1, -16]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, 8]], [[1, -4]], [[1, -13]], [[1, -10]], [[1, -7]], [[1, 13]], [[1, -1]], [[1, -14]], [[1, -8]], [[1, -2]], [[1, -16]], [[1, 14]], [[1, 16]], [[1, 5]], [[1, -7]], [[1, 13]], [[1, 7]], [[1, 8]], [[1, 2]], [[1, -13]], [[1, -5]], [[1, -10]], [[1, 1]], [[1, 4]], [[1, 10]], [[1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -5]], [[-1, -7]], [[-1, -4]], [[-1, -2]], [[-1, -8]], [[-1, 4]], [[-1, 10]], [[-1, 8]], [[-1, 14]], [[-1, 2]], [[-1, -13]], [[-1, -10]], [[-1, 16]], [[-1, 13]], [[-1, -14]], [[-1, -16]], [[-1, 5]], [[-1, 7]], [[1, -15]], [[1, 9]], [[1, 3]], [[1, -3]], [[1, 12]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, 6]], [[1, 15]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -9]], [[1, -15]], [[1, -12]], [[1, 12]], [[1, 9]], [[1, -12]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, 15]], [[1, -9]], [[1, -15]], [[1, -6]], [[1, 12]]]}
  • id: 12966906
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 50, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h4', 'nt': [66, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, -15]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 12]], [[1, 3]], [[1, -12]], [[1, 9]], [[1, 15]], [[1, -9]], [[1, 0]], [[1, 0]], [[-1, 15]], [[-1, -15]], [[-1, 12]], [[-1, 6]], [[-1, -9]], [[-1, -12]], [[-1, -6]], [[-1, 9]], [[-1, -3]], [[-1, 3]], [[1, -15]], [[1, 15]], [[1, 3]], [[1, -12]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 9]], [[1, -9]], [[1, 12]], [[1, -7]], [[1, -1]], [[1, -14]], [[1, -2]], [[1, 1]], [[1, -16]], [[1, -10]], [[1, 14]], [[1, 8]], [[1, -5]], [[1, 16]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, -8]], [[1, 4]], [[1, 13]], [[1, 10]], [[1, 7]], [[1, -13]], [[1, 1]], [[1, 14]], [[1, 8]], [[1, 2]], [[1, 16]], [[1, -14]], [[1, -16]], [[1, -5]], [[1, 7]], [[1, -13]], [[1, -7]], [[1, -8]], [[1, -2]], [[1, 13]], [[1, 5]], [[1, 10]], [[1, -1]], [[1, -4]], [[1, -10]], [[1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 4]], [[-1, 2]], [[-1, 8]], [[-1, -4]], [[-1, -10]], [[-1, -8]], [[-1, -14]], [[-1, -2]], [[-1, 13]], [[-1, 10]], [[-1, -16]], [[-1, -13]], [[-1, 14]], [[-1, 16]], [[-1, -5]], [[-1, -7]], [[1, 15]], [[1, -9]], [[1, -3]], [[1, 3]], [[1, -12]], [[1, 6]], [[1, 9]], [[1, 12]], [[1, -6]], [[1, -15]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 9]], [[1, 15]], [[1, 12]], [[1, -12]], [[1, -9]], [[1, 12]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -9]], [[1, -15]], [[1, -15]], [[1, 9]], [[1, 15]], [[1, 6]], [[1, -12]]]}
  • id: 12966907
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 51, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h5', 'nt': [66, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, -12]], [[1, -15]], [[1, 15]], [[1, -9]], [[1, 3]], [[1, 9]], [[1, -3]], [[1, -6]], [[1, 12]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 12]], [[-1, -12]], [[-1, 3]], [[-1, -15]], [[-1, 6]], [[-1, -3]], [[-1, 15]], [[-1, -6]], [[-1, -9]], [[-1, 9]], [[1, -12]], [[1, 12]], [[1, 9]], [[1, -3]], [[1, -9]], [[1, 15]], [[1, -15]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 1]], [[1, -14]], [[1, 2]], [[1, 5]], [[1, 14]], [[1, 7]], [[1, -8]], [[1, -2]], [[1, 13]], [[1, -4]], [[1, -7]], [[1, 10]], [[1, -5]], [[1, 4]], [[1, -13]], [[1, -10]], [[1, -16]], [[1, 8]], [[1, -1]], [[1, 16]], [[1, 14]], [[1, -2]], [[1, 13]], [[1, -5]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, -4]], [[1, -1]], [[1, 16]], [[1, 1]], [[1, -13]], [[1, 5]], [[1, -16]], [[1, 4]], [[1, 8]], [[1, -14]], [[1, 10]], [[1, -8]], [[1, -10]], [[-1, -14]], [[-1, 14]], [[-1, 4]], [[-1, -1]], [[-1, -10]], [[-1, -5]], [[-1, 13]], [[-1, 10]], [[-1, -8]], [[-1, -13]], [[-1, 2]], [[-1, 5]], [[-1, -16]], [[-1, 8]], [[-1, 7]], [[-1, 16]], [[-1, -2]], [[-1, -7]], [[-1, -4]], [[-1, 1]], [[1, 12]], [[1, 6]], [[1, -9]], [[1, 9]], [[1, -3]], [[1, -15]], [[1, -6]], [[1, 3]], [[1, 15]], [[1, -12]], [[1, 9]], [[1, 15]], [[1, 15]], [[1, -6]], [[1, 12]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 9]], [[1, -15]], [[1, -9]], [[1, -9]], [[1, 6]], [[1, -12]], [[1, -12]], [[1, -6]], [[1, 12]], [[1, -15]], [[1, -3]]]}
  • id: 12966908
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 52, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h6', 'nt': [66, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, 12]], [[1, 15]], [[1, -15]], [[1, 9]], [[1, -3]], [[1, -9]], [[1, 3]], [[1, 6]], [[1, -12]], [[1, -6]], [[1, 0]], [[1, 0]], [[-1, -12]], [[-1, 12]], [[-1, -3]], [[-1, 15]], [[-1, -6]], [[-1, 3]], [[-1, -15]], [[-1, 6]], [[-1, 9]], [[-1, -9]], [[1, 12]], [[1, -12]], [[1, -9]], [[1, 3]], [[1, 9]], [[1, -15]], [[1, 15]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -1]], [[1, 14]], [[1, -2]], [[1, -5]], [[1, -14]], [[1, -7]], [[1, 8]], [[1, 2]], [[1, -13]], [[1, 4]], [[1, 7]], [[1, -10]], [[1, 5]], [[1, -4]], [[1, 13]], [[1, 10]], [[1, 16]], [[1, -8]], [[1, 1]], [[1, -16]], [[1, -14]], [[1, 2]], [[1, -13]], [[1, 5]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, 4]], [[1, 1]], [[1, -16]], [[1, -1]], [[1, 13]], [[1, -5]], [[1, 16]], [[1, -4]], [[1, -8]], [[1, 14]], [[1, -10]], [[1, 8]], [[1, 10]], [[-1, 14]], [[-1, -14]], [[-1, -4]], [[-1, 1]], [[-1, 10]], [[-1, 5]], [[-1, -13]], [[-1, -10]], [[-1, 8]], [[-1, 13]], [[-1, -2]], [[-1, -5]], [[-1, 16]], [[-1, -8]], [[-1, -7]], [[-1, -16]], [[-1, 2]], [[-1, 7]], [[-1, 4]], [[-1, -1]], [[1, -12]], [[1, -6]], [[1, 9]], [[1, -9]], [[1, 3]], [[1, 15]], [[1, 6]], [[1, -3]], [[1, -15]], [[1, 12]], [[1, -9]], [[1, -15]], [[1, -15]], [[1, 6]], [[1, -12]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, -9]], [[1, 15]], [[1, 9]], [[1, 9]], [[1, -6]], [[1, 12]], [[1, 12]], [[1, 6]], [[1, -12]], [[1, 15]], [[1, 3]]]}
  • id: 12966909
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 53, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h7', 'nt': [66, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, 12]], [[1, 15]], [[1, -15]], [[1, 9]], [[1, -3]], [[1, -9]], [[1, 3]], [[1, 6]], [[1, -12]], [[1, -6]], [[1, 0]], [[1, 0]], [[-1, -12]], [[-1, 12]], [[-1, -3]], [[-1, 15]], [[-1, -6]], [[-1, 3]], [[-1, -15]], [[-1, 6]], [[-1, 9]], [[-1, -9]], [[1, 12]], [[1, -12]], [[1, -9]], [[1, 3]], [[1, 9]], [[1, -15]], [[1, 15]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 10]], [[1, -8]], [[1, -13]], [[1, -16]], [[1, 8]], [[1, 4]], [[1, -14]], [[1, 13]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, 1]], [[1, 16]], [[1, 7]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, 14]], [[1, -10]], [[1, -5]], [[1, 8]], [[1, 13]], [[1, -2]], [[1, 16]], [[1, -4]], [[1, -13]], [[1, 4]], [[1, -7]], [[1, -10]], [[1, -5]], [[1, 10]], [[1, 2]], [[1, -16]], [[1, 5]], [[1, 7]], [[1, 14]], [[1, -8]], [[1, 1]], [[1, -14]], [[1, -1]], [[-1, -8]], [[-1, 8]], [[-1, 7]], [[-1, -10]], [[-1, -1]], [[-1, 16]], [[-1, -2]], [[-1, 1]], [[-1, -14]], [[-1, 2]], [[-1, -13]], [[-1, -16]], [[-1, 5]], [[-1, 14]], [[-1, 4]], [[-1, -5]], [[-1, 13]], [[-1, -4]], [[-1, -7]], [[-1, 10]], [[1, -12]], [[1, -6]], [[1, 9]], [[1, -9]], [[1, 3]], [[1, 15]], [[1, 6]], [[1, -3]], [[1, -15]], [[1, 12]], [[1, -9]], [[1, -15]], [[1, -15]], [[1, 6]], [[1, -12]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, -9]], [[1, 15]], [[1, 9]], [[1, 9]], [[1, -6]], [[1, 12]], [[1, 12]], [[1, 6]], [[1, -12]], [[1, 15]], [[1, 3]]]}
  • id: 12966910
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 54, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h8', 'nt': [66, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[1, -11]], [[1, 11]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, -12]], [[1, -15]], [[1, 15]], [[1, -9]], [[1, 3]], [[1, 9]], [[1, -3]], [[1, -6]], [[1, 12]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 12]], [[-1, -12]], [[-1, 3]], [[-1, -15]], [[-1, 6]], [[-1, -3]], [[-1, 15]], [[-1, -6]], [[-1, -9]], [[-1, 9]], [[1, -12]], [[1, 12]], [[1, 9]], [[1, -3]], [[1, -9]], [[1, 15]], [[1, -15]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -10]], [[1, 8]], [[1, 13]], [[1, 16]], [[1, -8]], [[1, -4]], [[1, 14]], [[1, -13]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, -1]], [[1, -16]], [[1, -7]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, -14]], [[1, 10]], [[1, 5]], [[1, -8]], [[1, -13]], [[1, 2]], [[1, -16]], [[1, 4]], [[1, 13]], [[1, -4]], [[1, 7]], [[1, 10]], [[1, 5]], [[1, -10]], [[1, -2]], [[1, 16]], [[1, -5]], [[1, -7]], [[1, -14]], [[1, 8]], [[1, -1]], [[1, 14]], [[1, 1]], [[-1, 8]], [[-1, -8]], [[-1, -7]], [[-1, 10]], [[-1, 1]], [[-1, -16]], [[-1, 2]], [[-1, -1]], [[-1, 14]], [[-1, -2]], [[-1, 13]], [[-1, 16]], [[-1, -5]], [[-1, -14]], [[-1, -4]], [[-1, 5]], [[-1, -13]], [[-1, 4]], [[-1, 7]], [[-1, -10]], [[1, 12]], [[1, 6]], [[1, -9]], [[1, 9]], [[1, -3]], [[1, -15]], [[1, -6]], [[1, 3]], [[1, 15]], [[1, -12]], [[1, 9]], [[1, 15]], [[1, 15]], [[1, -6]], [[1, 12]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 9]], [[1, -15]], [[1, -9]], [[1, -9]], [[1, 6]], [[1, -12]], [[1, -12]], [[1, -6]], [[1, 12]], [[1, -15]], [[1, -3]]]}
  • id: 12966911
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1386, 'counter': 55, 'cyclotomic_n': 33, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.4', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 21, 'label': '1386.18.1h9', 'nt': [66, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -11]], [[1, 11]], [[1, -11]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, -9]], [[1, -3]], [[1, 3]], [[1, -15]], [[1, -6]], [[1, 15]], [[1, 6]], [[1, 12]], [[1, 9]], [[1, -12]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, -9]], [[-1, -6]], [[-1, -3]], [[-1, -12]], [[-1, 6]], [[-1, 3]], [[-1, 12]], [[-1, -15]], [[-1, 15]], [[1, -9]], [[1, 9]], [[1, 15]], [[1, 6]], [[1, -15]], [[1, 3]], [[1, -3]], [[1, 12]], [[1, -12]], [[1, -6]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, -10]], [[1, 5]], [[1, -14]], [[1, 16]], [[1, 4]], [[1, 7]], [[1, 8]], [[1, 14]], [[1, 13]], [[1, 10]], [[1, -8]], [[1, -7]], [[1, -13]], [[1, -1]], [[1, -16]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, 4]], [[1, 7]], [[1, 10]], [[1, 14]], [[1, -4]], [[1, -14]], [[1, 8]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -7]], [[1, -10]], [[1, -1]], [[1, -8]], [[1, -16]], [[1, -5]], [[1, 13]], [[1, 16]], [[1, -13]], [[-1, -5]], [[-1, 5]], [[-1, -8]], [[-1, 2]], [[-1, -13]], [[-1, 10]], [[-1, 7]], [[-1, 13]], [[-1, 16]], [[-1, -7]], [[-1, -4]], [[-1, -10]], [[-1, -1]], [[-1, -16]], [[-1, -14]], [[-1, 1]], [[-1, 4]], [[-1, 14]], [[-1, 8]], [[-1, -2]], [[1, 9]], [[1, -12]], [[1, -15]], [[1, 15]], [[1, 6]], [[1, -3]], [[1, 12]], [[1, -6]], [[1, 3]], [[1, -9]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, 12]], [[1, 9]], [[1, -6]], [[1, 6]], [[1, -12]], [[1, -6]], [[1, 15]], [[1, -3]], [[1, -15]], [[1, -15]], [[1, -12]], [[1, -9]], [[1, -9]], [[1, 12]], [[1, 9]], [[1, -3]], [[1, 6]]]}
  • id: 12966924
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 67, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.b1.a1', 'kernel_order': 231, 'label': '1386.18.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[2, 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]], [[-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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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]], [[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]]]}
  • id: 12966925
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 68, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1.a1', 'kernel_order': 77, 'label': '1386.18.2b1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 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]], [[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]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[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]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[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]]]}
  • id: 12966926
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 69, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1.a1', 'kernel_order': 77, 'label': '1386.18.2b2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 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]], [[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]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[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]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[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]]]}
  • id: 12966928
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 70, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.b1.a1', 'kernel_order': 21, 'label': '1386.18.2c1', 'nt': [33, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -5]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 4]], [[2, 1]], [[2, -4]], [[2, 3]], [[2, 5]], [[2, -3]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -5]], [[-1, 5]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 3]], [[-1, -3]], [[-1, 4]], [[2, 5]], [[2, -4]], [[2, -1]], [[2, 3]], [[2, 4]], [[2, 2]], [[2, 4]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, -5]], [[2, -3]], [[2, -2]], [[2, 1]], [[2, 5]], [[2, -3]], [[2, -4]], [[2, -5]], [[2, 3]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -5]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, -4]], [[-1, -4]], [[-1, -5]], [[-1, 4]], [[-1, 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]], [[2, 5]], [[2, -3]], [[2, -1]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, 3]], [[2, 4]], [[2, -2]], [[2, -5]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 3]], [[-1, 5]], [[-1, 4]], [[-1, -4]], [[-1, -3]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -3]], [[-1, -5]], [[-1, -5]], [[-1, 3]], [[-1, 5]], [[-1, 2]], [[-1, -4]]]}
  • id: 12966937
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 79, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.b1.a1', 'kernel_order': 21, 'label': '1386.18.2c10', 'nt': [33, 10], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, 4]], [[2, -4]], [[2, -2]], [[2, -3]], [[2, 2]], [[2, 3]], [[2, -5]], [[2, -1]], [[2, 5]], [[-1, 0]], [[-1, 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, 3]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, -5]], [[-1, 5]], [[-1, -3]], [[2, -1]], [[2, 3]], [[2, -2]], [[2, -5]], [[2, -3]], [[2, 4]], [[2, -3]], [[2, 2]], [[2, -2]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 5]], [[2, -4]], [[2, 2]], [[2, -1]], [[2, 5]], [[2, 3]], [[2, 1]], [[2, -5]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, 5]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -5]], [[-1, -1]], [[-1, 2]], [[-1, -5]], [[-1, 5]], [[-1, -4]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, -3]], [[-1, -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]], [[2, -1]], [[2, 5]], [[2, -2]], [[2, 2]], [[2, 3]], [[2, 4]], [[2, -5]], [[2, -3]], [[2, -4]], [[2, 1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, -5]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, 5]], [[-1, -3]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, -5]], [[-1, -1]], [[-1, 4]], [[-1, 3]]]}
  • id: 12966929
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 71, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.b1.a1', 'kernel_order': 21, 'label': '1386.18.2c2', 'nt': [33, 10], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 5]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -4]], [[2, -1]], [[2, 4]], [[2, -3]], [[2, -5]], [[2, 3]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5]], [[-1, -5]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -3]], [[-1, 3]], [[-1, -4]], [[2, -5]], [[2, 4]], [[2, 1]], [[2, -3]], [[2, -4]], [[2, -2]], [[2, -4]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, 5]], [[2, 3]], [[2, 2]], [[2, -1]], [[2, -5]], [[2, 3]], [[2, 4]], [[2, 5]], [[2, -3]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 5]], [[-1, -3]], [[-1, -5]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 5]], [[-1, -4]], [[-1, -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]], [[2, -5]], [[2, 3]], [[2, 1]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, -3]], [[2, -4]], [[2, 2]], [[2, 5]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, -5]], [[-1, -4]], [[-1, 4]], [[-1, 3]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, -3]], [[-1, -5]], [[-1, -2]], [[-1, 4]]]}
  • id: 12966930
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 72, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.b1.a1', 'kernel_order': 21, 'label': '1386.18.2c3', 'nt': [33, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -4]], [[2, -5]], [[2, 5]], [[2, -3]], [[2, 1]], [[2, 3]], [[2, -1]], [[2, -2]], [[2, 4]], [[2, 2]], [[-1, 0]], [[-1, 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, 3]], [[-1, -1]], [[-1, -3]], [[-1, 5]], [[-1, -5]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[2, 4]], [[2, -1]], [[2, -3]], [[2, -2]], [[2, 1]], [[2, -5]], [[2, 1]], [[2, 3]], [[2, -3]], [[2, -5]], [[2, 5]], [[2, -4]], [[2, 2]], [[2, 5]], [[2, 3]], [[2, 4]], [[2, 2]], [[2, -1]], [[2, -4]], [[2, -2]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, 5]], [[-1, -3]], [[-1, -5]], [[-1, -5]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, 5]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 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]], [[2, 4]], [[2, 2]], [[2, -3]], [[2, 3]], [[2, -1]], [[2, -5]], [[2, -2]], [[2, 1]], [[2, 5]], [[2, -4]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, -5]], [[-1, -3]], [[-1, -3]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, -5]], [[-1, -1]]]}
  • id: 12966931
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 73, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.b1.a1', 'kernel_order': 21, 'label': '1386.18.2c4', 'nt': [33, 10], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 4]], [[2, 5]], [[2, -5]], [[2, 3]], [[2, -1]], [[2, -3]], [[2, 1]], [[2, 2]], [[2, -4]], [[2, -2]], [[-1, 0]], [[-1, 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, -3]], [[-1, 1]], [[-1, 3]], [[-1, -5]], [[-1, 5]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[2, -4]], [[2, 1]], [[2, 3]], [[2, 2]], [[2, -1]], [[2, 5]], [[2, -1]], [[2, -3]], [[2, 3]], [[2, 5]], [[2, -5]], [[2, 4]], [[2, -2]], [[2, -5]], [[2, -3]], [[2, -4]], [[2, -2]], [[2, 1]], [[2, 4]], [[2, 2]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, -5]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, -5]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -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]], [[2, -4]], [[2, -2]], [[2, 3]], [[2, -3]], [[2, 1]], [[2, 5]], [[2, 2]], [[2, -1]], [[2, -5]], [[2, 4]], [[-1, -3]], [[-1, -5]], [[-1, -5]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -3]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, 5]], [[-1, 1]]]}
  • id: 12966932
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 74, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.b1.a1', 'kernel_order': 21, 'label': '1386.18.2c5', 'nt': [33, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -3]], [[2, -1]], [[2, 1]], [[2, -5]], [[2, -2]], [[2, 5]], [[2, 2]], [[2, 4]], [[2, 3]], [[2, -4]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -3]], [[-1, 3]], [[-1, 5]], [[-1, 2]], [[-1, -5]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[2, 3]], [[2, 2]], [[2, -5]], [[2, 4]], [[2, -2]], [[2, -1]], [[2, -2]], [[2, 5]], [[2, -5]], [[2, -1]], [[2, 1]], [[2, -3]], [[2, -4]], [[2, 1]], [[2, 5]], [[2, 3]], [[2, -4]], [[2, 2]], [[2, -3]], [[2, 4]], [[-1, -2]], [[-1, 5]], [[-1, -5]], [[-1, -4]], [[-1, 1]], [[-1, -5]], [[-1, -1]], [[-1, -1]], [[-1, -3]], [[-1, 4]], [[-1, 3]], [[-1, 5]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, -2]], [[-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]], [[2, 3]], [[2, -4]], [[2, -5]], [[2, 5]], [[2, 2]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, 1]], [[2, -3]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 5]], [[-1, -1]], [[-1, -5]], [[-1, -5]], [[-1, -4]], [[-1, -3]], [[-1, -3]], [[-1, 4]], [[-1, 3]], [[-1, -1]], [[-1, 2]]]}
  • id: 12966933
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 75, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.b1.a1', 'kernel_order': 21, 'label': '1386.18.2c6', 'nt': [33, 10], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 3]], [[2, 1]], [[2, -1]], [[2, 5]], [[2, 2]], [[2, -5]], [[2, -2]], [[2, -4]], [[2, -3]], [[2, 4]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, -3]], [[-1, -5]], [[-1, -2]], [[-1, 5]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[2, -3]], [[2, -2]], [[2, 5]], [[2, -4]], [[2, 2]], [[2, 1]], [[2, 2]], [[2, -5]], [[2, 5]], [[2, 1]], [[2, -1]], [[2, 3]], [[2, 4]], [[2, -1]], [[2, -5]], [[2, -3]], [[2, 4]], [[2, -2]], [[2, 3]], [[2, -4]], [[-1, 2]], [[-1, -5]], [[-1, 5]], [[-1, 4]], [[-1, -1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, -4]], [[-1, -3]], [[-1, -5]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 3]], [[-1, 2]], [[-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]], [[2, -3]], [[2, 4]], [[2, 5]], [[2, -5]], [[2, -2]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, -1]], [[2, 3]], [[-1, -5]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 4]], [[-1, 3]], [[-1, 3]], [[-1, -4]], [[-1, -3]], [[-1, 1]], [[-1, -2]]]}
  • id: 12966934
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 76, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.b1.a1', 'kernel_order': 21, 'label': '1386.18.2c7', 'nt': [33, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -2]], [[2, 3]], [[2, -3]], [[2, 4]], [[2, -5]], [[2, -4]], [[2, 5]], [[2, -1]], [[2, 2]], [[2, 1]], [[-1, 0]], [[-1, 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, 5]], [[-1, 4]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, 1]], [[-1, -5]], [[2, 2]], [[2, 5]], [[2, 4]], [[2, -1]], [[2, -5]], [[2, 3]], [[2, -5]], [[2, -4]], [[2, 4]], [[2, 3]], [[2, -3]], [[2, -2]], [[2, 1]], [[2, -3]], [[2, -4]], [[2, 2]], [[2, 1]], [[2, 5]], [[2, -2]], [[2, -1]], [[-1, -5]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -3]], [[-1, 4]], [[-1, 3]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 5]], [[-1, 5]], [[-1, -2]], [[-1, -5]], [[-1, 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]], [[2, 2]], [[2, 1]], [[2, 4]], [[2, -4]], [[2, 5]], [[2, 3]], [[2, -1]], [[2, -5]], [[2, -3]], [[2, -2]], [[-1, -4]], [[-1, -3]], [[-1, -3]], [[-1, -1]], [[-1, 2]], [[-1, -5]], [[-1, 5]], [[-1, 1]], [[-1, -5]], [[-1, -4]], [[-1, 3]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 3]], [[-1, 5]]]}
  • id: 12966935
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 77, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.b1.a1', 'kernel_order': 21, 'label': '1386.18.2c8', 'nt': [33, 10], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 2]], [[2, -3]], [[2, 3]], [[2, -4]], [[2, 5]], [[2, 4]], [[2, -5]], [[2, 1]], [[2, -2]], [[2, -1]], [[-1, 0]], [[-1, 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, -5]], [[-1, -4]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, -1]], [[-1, 5]], [[2, -2]], [[2, -5]], [[2, -4]], [[2, 1]], [[2, 5]], [[2, -3]], [[2, 5]], [[2, 4]], [[2, -4]], [[2, -3]], [[2, 3]], [[2, 2]], [[2, -1]], [[2, 3]], [[2, 4]], [[2, -2]], [[2, -1]], [[2, -5]], [[2, 2]], [[2, 1]], [[-1, 5]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 3]], [[-1, -4]], [[-1, -3]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -5]], [[-1, -5]], [[-1, 2]], [[-1, 5]], [[-1, -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]], [[2, -2]], [[2, -1]], [[2, -4]], [[2, 4]], [[2, -5]], [[2, -3]], [[2, 1]], [[2, 5]], [[2, 3]], [[2, 2]], [[-1, 4]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, -2]], [[-1, 5]], [[-1, -5]], [[-1, -1]], [[-1, 5]], [[-1, 4]], [[-1, -3]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -3]], [[-1, -5]]]}
  • id: 12966936
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 78, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.b1.a1', 'kernel_order': 21, 'label': '1386.18.2c9', 'nt': [33, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, -4]], [[2, 4]], [[2, 2]], [[2, 3]], [[2, -2]], [[2, -3]], [[2, 5]], [[2, 1]], [[2, -5]], [[-1, 0]], [[-1, 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, -3]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, 5]], [[-1, -5]], [[-1, 3]], [[2, 1]], [[2, -3]], [[2, 2]], [[2, 5]], [[2, 3]], [[2, -4]], [[2, 3]], [[2, -2]], [[2, 2]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -5]], [[2, 4]], [[2, -2]], [[2, 1]], [[2, -5]], [[2, -3]], [[2, -1]], [[2, 5]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, -5]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 5]], [[-1, 1]], [[-1, -2]], [[-1, 5]], [[-1, -5]], [[-1, 4]], [[-1, -3]], [[-1, -3]], [[-1, -1]], [[-1, 3]], [[-1, 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]], [[2, 1]], [[2, -5]], [[2, 2]], [[2, -2]], [[2, -3]], [[2, -4]], [[2, 5]], [[2, 3]], [[2, 4]], [[2, -1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, -5]], [[-1, 3]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[-1, -5]], [[-1, -1]], [[-1, -1]], [[-1, 5]], [[-1, 1]], [[-1, -4]], [[-1, -3]]]}
  • id: 12966939
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 80, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d1', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -11]], [[2, 11]], [[-1, -11]], [[-1, 11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -15]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 12]], [[2, 3]], [[2, -12]], [[2, 9]], [[2, 15]], [[2, -9]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -15]], [[-1, 15]], [[-1, 3]], [[-1, -12]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[-1, 9]], [[-1, -9]], [[-1, 12]], [[2, 4]], [[2, 10]], [[2, 8]], [[2, -13]], [[2, -10]], [[2, -5]], [[2, 1]], [[2, -8]], [[2, -14]], [[2, -16]], [[2, 5]], [[2, 7]], [[2, 13]], [[2, 16]], [[2, 14]], [[2, -7]], [[2, 2]], [[2, -1]], [[2, -4]], [[2, -2]], [[-1, -10]], [[-1, -8]], [[-1, -14]], [[-1, 13]], [[-1, 5]], [[-1, 8]], [[-1, -5]], [[-1, -16]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 14]], [[-1, -13]], [[-1, 2]], [[-1, 16]], [[-1, -1]], [[-1, 10]], [[-1, 7]], [[-1, 1]], [[-1, -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]], [[2, 15]], [[2, -9]], [[2, -3]], [[2, 3]], [[2, -12]], [[2, 6]], [[2, 9]], [[2, 12]], [[2, -6]], [[2, -15]], [[-1, 3]], [[-1, -6]], [[-1, -6]], [[-1, 9]], [[-1, 15]], [[-1, 12]], [[-1, -12]], [[-1, -9]], [[-1, 12]], [[-1, 3]], [[-1, 6]], [[-1, -3]], [[-1, -3]], [[-1, -9]], [[-1, -15]], [[-1, -15]], [[-1, 9]], [[-1, 15]], [[-1, 6]], [[-1, -12]]]}
  • id: 12966948
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 89, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d10', 'nt': [66, 20], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 11]], [[2, -11]], [[-1, 11]], [[-1, -11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 9]], [[2, 3]], [[2, -3]], [[2, 15]], [[2, 6]], [[2, -15]], [[2, -6]], [[2, -12]], [[2, -9]], [[2, 12]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9]], [[-1, -9]], [[-1, -15]], [[-1, -6]], [[-1, 15]], [[-1, -3]], [[-1, 3]], [[-1, -12]], [[-1, 12]], [[-1, 6]], [[2, 2]], [[2, 5]], [[2, 4]], [[2, 10]], [[2, -5]], [[2, 14]], [[2, -16]], [[2, -4]], [[2, -7]], [[2, -8]], [[2, -14]], [[2, -13]], [[2, -10]], [[2, 8]], [[2, 7]], [[2, 13]], [[2, 1]], [[2, 16]], [[2, -2]], [[2, -1]], [[-1, -5]], [[-1, -4]], [[-1, -7]], [[-1, -10]], [[-1, -14]], [[-1, 4]], [[-1, 14]], [[-1, -8]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 7]], [[-1, 10]], [[-1, 1]], [[-1, 8]], [[-1, 16]], [[-1, 5]], [[-1, -13]], [[-1, -16]], [[-1, 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]], [[2, -9]], [[2, 12]], [[2, 15]], [[2, -15]], [[2, -6]], [[2, 3]], [[2, -12]], [[2, 6]], [[2, -3]], [[2, 9]], [[-1, -15]], [[-1, -3]], [[-1, -3]], [[-1, -12]], [[-1, -9]], [[-1, 6]], [[-1, -6]], [[-1, 12]], [[-1, 6]], [[-1, -15]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[-1, 12]], [[-1, 9]], [[-1, 9]], [[-1, -12]], [[-1, -9]], [[-1, 3]], [[-1, -6]]]}
  • id: 12966950
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 90, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d11', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -11]], [[2, 11]], [[-1, -11]], [[-1, 11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 9]], [[2, 3]], [[2, -3]], [[2, 15]], [[2, 6]], [[2, -15]], [[2, -6]], [[2, -12]], [[2, -9]], [[2, 12]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9]], [[-1, -9]], [[-1, -15]], [[-1, -6]], [[-1, 15]], [[-1, -3]], [[-1, 3]], [[-1, -12]], [[-1, 12]], [[-1, 6]], [[2, 13]], [[2, 16]], [[2, -7]], [[2, -1]], [[2, -16]], [[2, -8]], [[2, -5]], [[2, 7]], [[2, 4]], [[2, 14]], [[2, 8]], [[2, -2]], [[2, 1]], [[2, -14]], [[2, -4]], [[2, 2]], [[2, -10]], [[2, 5]], [[2, -13]], [[2, 10]], [[-1, -16]], [[-1, 7]], [[-1, 4]], [[-1, 1]], [[-1, 8]], [[-1, -7]], [[-1, -8]], [[-1, 14]], [[-1, -13]], [[-1, 10]], [[-1, 13]], [[-1, -4]], [[-1, -1]], [[-1, -10]], [[-1, -14]], [[-1, 5]], [[-1, 16]], [[-1, -2]], [[-1, -5]], [[-1, 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]], [[2, -9]], [[2, 12]], [[2, 15]], [[2, -15]], [[2, -6]], [[2, 3]], [[2, -12]], [[2, 6]], [[2, -3]], [[2, 9]], [[-1, -15]], [[-1, -3]], [[-1, -3]], [[-1, -12]], [[-1, -9]], [[-1, 6]], [[-1, -6]], [[-1, 12]], [[-1, 6]], [[-1, -15]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[-1, 12]], [[-1, 9]], [[-1, 9]], [[-1, -12]], [[-1, -9]], [[-1, 3]], [[-1, -6]]]}
  • id: 12966951
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 91, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d12', 'nt': [66, 20], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 11]], [[2, -11]], [[-1, 11]], [[-1, -11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -9]], [[2, -3]], [[2, 3]], [[2, -15]], [[2, -6]], [[2, 15]], [[2, 6]], [[2, 12]], [[2, 9]], [[2, -12]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -9]], [[-1, 9]], [[-1, 15]], [[-1, 6]], [[-1, -15]], [[-1, 3]], [[-1, -3]], [[-1, 12]], [[-1, -12]], [[-1, -6]], [[2, -13]], [[2, -16]], [[2, 7]], [[2, 1]], [[2, 16]], [[2, 8]], [[2, 5]], [[2, -7]], [[2, -4]], [[2, -14]], [[2, -8]], [[2, 2]], [[2, -1]], [[2, 14]], [[2, 4]], [[2, -2]], [[2, 10]], [[2, -5]], [[2, 13]], [[2, -10]], [[-1, 16]], [[-1, -7]], [[-1, -4]], [[-1, -1]], [[-1, -8]], [[-1, 7]], [[-1, 8]], [[-1, -14]], [[-1, 13]], [[-1, -10]], [[-1, -13]], [[-1, 4]], [[-1, 1]], [[-1, 10]], [[-1, 14]], [[-1, -5]], [[-1, -16]], [[-1, 2]], [[-1, 5]], [[-1, -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]], [[2, 9]], [[2, -12]], [[2, -15]], [[2, 15]], [[2, 6]], [[2, -3]], [[2, 12]], [[2, -6]], [[2, 3]], [[2, -9]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 12]], [[-1, 9]], [[-1, -6]], [[-1, 6]], [[-1, -12]], [[-1, -6]], [[-1, 15]], [[-1, -3]], [[-1, -15]], [[-1, -15]], [[-1, -12]], [[-1, -9]], [[-1, -9]], [[-1, 12]], [[-1, 9]], [[-1, -3]], [[-1, 6]]]}
  • id: 12966952
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 92, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d13', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -11]], [[2, 11]], [[-1, -11]], [[-1, 11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -6]], [[2, 9]], [[2, -9]], [[2, 12]], [[2, -15]], [[2, -12]], [[2, 15]], [[2, -3]], [[2, 6]], [[2, 3]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -6]], [[-1, 6]], [[-1, -12]], [[-1, 15]], [[-1, 12]], [[-1, -9]], [[-1, 9]], [[-1, -3]], [[-1, 3]], [[-1, -15]], [[2, -5]], [[2, 4]], [[2, -10]], [[2, 8]], [[2, -4]], [[2, -2]], [[2, 7]], [[2, 10]], [[2, 1]], [[2, -13]], [[2, 2]], [[2, 16]], [[2, -8]], [[2, 13]], [[2, -1]], [[2, -16]], [[2, 14]], [[2, -7]], [[2, 5]], [[2, -14]], [[-1, -4]], [[-1, 10]], [[-1, 1]], [[-1, -8]], [[-1, 2]], [[-1, -10]], [[-1, -2]], [[-1, -13]], [[-1, 5]], [[-1, -14]], [[-1, -5]], [[-1, -1]], [[-1, 8]], [[-1, 14]], [[-1, 13]], [[-1, -7]], [[-1, 4]], [[-1, 16]], [[-1, 7]], [[-1, -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]], [[2, 6]], [[2, 3]], [[2, 12]], [[2, -12]], [[2, 15]], [[2, 9]], [[2, -3]], [[2, -15]], [[2, -9]], [[2, -6]], [[-1, -12]], [[-1, -9]], [[-1, -9]], [[-1, -3]], [[-1, 6]], [[-1, -15]], [[-1, 15]], [[-1, 3]], [[-1, -15]], [[-1, -12]], [[-1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 3]], [[-1, -6]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[-1, 9]], [[-1, 15]]]}
  • id: 12966953
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 93, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d14', 'nt': [66, 20], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 11]], [[2, -11]], [[-1, 11]], [[-1, -11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 6]], [[2, -9]], [[2, 9]], [[2, -12]], [[2, 15]], [[2, 12]], [[2, -15]], [[2, 3]], [[2, -6]], [[2, -3]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-1, -6]], [[-1, 12]], [[-1, -15]], [[-1, -12]], [[-1, 9]], [[-1, -9]], [[-1, 3]], [[-1, -3]], [[-1, 15]], [[2, 5]], [[2, -4]], [[2, 10]], [[2, -8]], [[2, 4]], [[2, 2]], [[2, -7]], [[2, -10]], [[2, -1]], [[2, 13]], [[2, -2]], [[2, -16]], [[2, 8]], [[2, -13]], [[2, 1]], [[2, 16]], [[2, -14]], [[2, 7]], [[2, -5]], [[2, 14]], [[-1, 4]], [[-1, -10]], [[-1, -1]], [[-1, 8]], [[-1, -2]], [[-1, 10]], [[-1, 2]], [[-1, 13]], [[-1, -5]], [[-1, 14]], [[-1, 5]], [[-1, 1]], [[-1, -8]], [[-1, -14]], [[-1, -13]], [[-1, 7]], [[-1, -4]], [[-1, -16]], [[-1, -7]], [[-1, 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]], [[2, -6]], [[2, -3]], [[2, -12]], [[2, 12]], [[2, -15]], [[2, -9]], [[2, 3]], [[2, 15]], [[2, 9]], [[2, 6]], [[-1, 12]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, -6]], [[-1, 15]], [[-1, -15]], [[-1, -3]], [[-1, 15]], [[-1, 12]], [[-1, -9]], [[-1, -12]], [[-1, -12]], [[-1, -3]], [[-1, 6]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[-1, -9]], [[-1, -15]]]}
  • id: 12966954
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 94, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d15', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -11]], [[2, 11]], [[-1, -11]], [[-1, 11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 6]], [[2, -9]], [[2, 9]], [[2, -12]], [[2, 15]], [[2, 12]], [[2, -15]], [[2, 3]], [[2, -6]], [[2, -3]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-1, -6]], [[-1, 12]], [[-1, -15]], [[-1, -12]], [[-1, 9]], [[-1, -9]], [[-1, 3]], [[-1, -3]], [[-1, 15]], [[2, 16]], [[2, 7]], [[2, -1]], [[2, 14]], [[2, -7]], [[2, 13]], [[2, 4]], [[2, 1]], [[2, 10]], [[2, 2]], [[2, -13]], [[2, -5]], [[2, -14]], [[2, -2]], [[2, -10]], [[2, 5]], [[2, 8]], [[2, -4]], [[2, -16]], [[2, -8]], [[-1, -7]], [[-1, 1]], [[-1, 10]], [[-1, -14]], [[-1, -13]], [[-1, -1]], [[-1, 13]], [[-1, 2]], [[-1, -16]], [[-1, -8]], [[-1, 16]], [[-1, -10]], [[-1, 14]], [[-1, 8]], [[-1, -2]], [[-1, -4]], [[-1, 7]], [[-1, -5]], [[-1, 4]], [[-1, 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]], [[2, -6]], [[2, -3]], [[2, -12]], [[2, 12]], [[2, -15]], [[2, -9]], [[2, 3]], [[2, 15]], [[2, 9]], [[2, 6]], [[-1, 12]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, -6]], [[-1, 15]], [[-1, -15]], [[-1, -3]], [[-1, 15]], [[-1, 12]], [[-1, -9]], [[-1, -12]], [[-1, -12]], [[-1, -3]], [[-1, 6]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[-1, -9]], [[-1, -15]]]}
  • id: 12966955
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 95, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d16', 'nt': [66, 20], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 11]], [[2, -11]], [[-1, 11]], [[-1, -11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -6]], [[2, 9]], [[2, -9]], [[2, 12]], [[2, -15]], [[2, -12]], [[2, 15]], [[2, -3]], [[2, 6]], [[2, 3]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -6]], [[-1, 6]], [[-1, -12]], [[-1, 15]], [[-1, 12]], [[-1, -9]], [[-1, 9]], [[-1, -3]], [[-1, 3]], [[-1, -15]], [[2, -16]], [[2, -7]], [[2, 1]], [[2, -14]], [[2, 7]], [[2, -13]], [[2, -4]], [[2, -1]], [[2, -10]], [[2, -2]], [[2, 13]], [[2, 5]], [[2, 14]], [[2, 2]], [[2, 10]], [[2, -5]], [[2, -8]], [[2, 4]], [[2, 16]], [[2, 8]], [[-1, 7]], [[-1, -1]], [[-1, -10]], [[-1, 14]], [[-1, 13]], [[-1, 1]], [[-1, -13]], [[-1, -2]], [[-1, 16]], [[-1, 8]], [[-1, -16]], [[-1, 10]], [[-1, -14]], [[-1, -8]], [[-1, 2]], [[-1, 4]], [[-1, -7]], [[-1, 5]], [[-1, -4]], [[-1, -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]], [[2, 6]], [[2, 3]], [[2, 12]], [[2, -12]], [[2, 15]], [[2, 9]], [[2, -3]], [[2, -15]], [[2, -9]], [[2, -6]], [[-1, -12]], [[-1, -9]], [[-1, -9]], [[-1, -3]], [[-1, 6]], [[-1, -15]], [[-1, 15]], [[-1, 3]], [[-1, -15]], [[-1, -12]], [[-1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 3]], [[-1, -6]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[-1, 9]], [[-1, 15]]]}
  • id: 12966956
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 96, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d17', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -11]], [[2, 11]], [[-1, -11]], [[-1, 11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -3]], [[2, -12]], [[2, 12]], [[2, 6]], [[2, 9]], [[2, -6]], [[2, -9]], [[2, 15]], [[2, 3]], [[2, -15]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, -9]], [[-1, 6]], [[-1, 12]], [[-1, -12]], [[-1, 15]], [[-1, -15]], [[-1, 9]], [[2, -8]], [[2, 13]], [[2, -16]], [[2, -7]], [[2, -13]], [[2, 10]], [[2, -2]], [[2, 16]], [[2, -5]], [[2, -1]], [[2, -10]], [[2, -14]], [[2, 7]], [[2, 1]], [[2, 5]], [[2, 14]], [[2, -4]], [[2, 2]], [[2, 8]], [[2, 4]], [[-1, -13]], [[-1, 16]], [[-1, -5]], [[-1, 7]], [[-1, -10]], [[-1, -16]], [[-1, 10]], [[-1, -1]], [[-1, 8]], [[-1, 4]], [[-1, -8]], [[-1, 5]], [[-1, -7]], [[-1, -4]], [[-1, 1]], [[-1, 2]], [[-1, 13]], [[-1, -14]], [[-1, -2]], [[-1, 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]], [[2, 3]], [[2, -15]], [[2, 6]], [[2, -6]], [[2, -9]], [[2, -12]], [[2, 15]], [[2, 9]], [[2, 12]], [[2, -3]], [[-1, -6]], [[-1, 12]], [[-1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 9]], [[-1, -9]], [[-1, -15]], [[-1, 9]], [[-1, -6]], [[-1, -12]], [[-1, 6]], [[-1, 6]], [[-1, -15]], [[-1, -3]], [[-1, -3]], [[-1, 15]], [[-1, 3]], [[-1, -12]], [[-1, -9]]]}
  • id: 12966957
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 97, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d18', 'nt': [66, 20], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 11]], [[2, -11]], [[-1, 11]], [[-1, -11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 3]], [[2, 12]], [[2, -12]], [[2, -6]], [[2, -9]], [[2, 6]], [[2, 9]], [[2, -15]], [[2, -3]], [[2, 15]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, 9]], [[-1, -6]], [[-1, -12]], [[-1, 12]], [[-1, -15]], [[-1, 15]], [[-1, -9]], [[2, 8]], [[2, -13]], [[2, 16]], [[2, 7]], [[2, 13]], [[2, -10]], [[2, 2]], [[2, -16]], [[2, 5]], [[2, 1]], [[2, 10]], [[2, 14]], [[2, -7]], [[2, -1]], [[2, -5]], [[2, -14]], [[2, 4]], [[2, -2]], [[2, -8]], [[2, -4]], [[-1, 13]], [[-1, -16]], [[-1, 5]], [[-1, -7]], [[-1, 10]], [[-1, 16]], [[-1, -10]], [[-1, 1]], [[-1, -8]], [[-1, -4]], [[-1, 8]], [[-1, -5]], [[-1, 7]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[-1, -13]], [[-1, 14]], [[-1, 2]], [[-1, -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]], [[2, -3]], [[2, 15]], [[2, -6]], [[2, 6]], [[2, 9]], [[2, 12]], [[2, -15]], [[2, -9]], [[2, -12]], [[2, 3]], [[-1, 6]], [[-1, -12]], [[-1, -12]], [[-1, -15]], [[-1, -3]], [[-1, -9]], [[-1, 9]], [[-1, 15]], [[-1, -9]], [[-1, 6]], [[-1, 12]], [[-1, -6]], [[-1, -6]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, -15]], [[-1, -3]], [[-1, 12]], [[-1, 9]]]}
  • id: 12966958
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 98, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d19', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -11]], [[2, 11]], [[-1, -11]], [[-1, 11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 3]], [[2, 12]], [[2, -12]], [[2, -6]], [[2, -9]], [[2, 6]], [[2, 9]], [[2, -15]], [[2, -3]], [[2, 15]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, 9]], [[-1, -6]], [[-1, -12]], [[-1, 12]], [[-1, -15]], [[-1, 15]], [[-1, -9]], [[2, -14]], [[2, -2]], [[2, 5]], [[2, -4]], [[2, 2]], [[2, 1]], [[2, 13]], [[2, -5]], [[2, 16]], [[2, -10]], [[2, -1]], [[2, -8]], [[2, 4]], [[2, 10]], [[2, -16]], [[2, 8]], [[2, -7]], [[2, -13]], [[2, 14]], [[2, 7]], [[-1, 2]], [[-1, -5]], [[-1, 16]], [[-1, 4]], [[-1, -1]], [[-1, 5]], [[-1, 1]], [[-1, -10]], [[-1, 14]], [[-1, 7]], [[-1, -14]], [[-1, -16]], [[-1, -4]], [[-1, -7]], [[-1, 10]], [[-1, -13]], [[-1, -2]], [[-1, -8]], [[-1, 13]], [[-1, 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]], [[2, -3]], [[2, 15]], [[2, -6]], [[2, 6]], [[2, 9]], [[2, 12]], [[2, -15]], [[2, -9]], [[2, -12]], [[2, 3]], [[-1, 6]], [[-1, -12]], [[-1, -12]], [[-1, -15]], [[-1, -3]], [[-1, -9]], [[-1, 9]], [[-1, 15]], [[-1, -9]], [[-1, 6]], [[-1, 12]], [[-1, -6]], [[-1, -6]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, -15]], [[-1, -3]], [[-1, 12]], [[-1, 9]]]}
  • id: 12966940
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 81, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d2', 'nt': [66, 20], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 11]], [[2, -11]], [[-1, 11]], [[-1, -11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 15]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -12]], [[2, -3]], [[2, 12]], [[2, -9]], [[2, -15]], [[2, 9]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 15]], [[-1, -15]], [[-1, -3]], [[-1, 12]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[-1, -9]], [[-1, 9]], [[-1, -12]], [[2, -4]], [[2, -10]], [[2, -8]], [[2, 13]], [[2, 10]], [[2, 5]], [[2, -1]], [[2, 8]], [[2, 14]], [[2, 16]], [[2, -5]], [[2, -7]], [[2, -13]], [[2, -16]], [[2, -14]], [[2, 7]], [[2, -2]], [[2, 1]], [[2, 4]], [[2, 2]], [[-1, 10]], [[-1, 8]], [[-1, 14]], [[-1, -13]], [[-1, -5]], [[-1, -8]], [[-1, 5]], [[-1, 16]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -14]], [[-1, 13]], [[-1, -2]], [[-1, -16]], [[-1, 1]], [[-1, -10]], [[-1, -7]], [[-1, -1]], [[-1, 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]], [[2, -15]], [[2, 9]], [[2, 3]], [[2, -3]], [[2, 12]], [[2, -6]], [[2, -9]], [[2, -12]], [[2, 6]], [[2, 15]], [[-1, -3]], [[-1, 6]], [[-1, 6]], [[-1, -9]], [[-1, -15]], [[-1, -12]], [[-1, 12]], [[-1, 9]], [[-1, -12]], [[-1, -3]], [[-1, -6]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 15]], [[-1, -9]], [[-1, -15]], [[-1, -6]], [[-1, 12]]]}
  • id: 12966959
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 99, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d20', 'nt': [66, 20], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 11]], [[2, -11]], [[-1, 11]], [[-1, -11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -3]], [[2, -12]], [[2, 12]], [[2, 6]], [[2, 9]], [[2, -6]], [[2, -9]], [[2, 15]], [[2, 3]], [[2, -15]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, -9]], [[-1, 6]], [[-1, 12]], [[-1, -12]], [[-1, 15]], [[-1, -15]], [[-1, 9]], [[2, 14]], [[2, 2]], [[2, -5]], [[2, 4]], [[2, -2]], [[2, -1]], [[2, -13]], [[2, 5]], [[2, -16]], [[2, 10]], [[2, 1]], [[2, 8]], [[2, -4]], [[2, -10]], [[2, 16]], [[2, -8]], [[2, 7]], [[2, 13]], [[2, -14]], [[2, -7]], [[-1, -2]], [[-1, 5]], [[-1, -16]], [[-1, -4]], [[-1, 1]], [[-1, -5]], [[-1, -1]], [[-1, 10]], [[-1, -14]], [[-1, -7]], [[-1, 14]], [[-1, 16]], [[-1, 4]], [[-1, 7]], [[-1, -10]], [[-1, 13]], [[-1, 2]], [[-1, 8]], [[-1, -13]], [[-1, -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]], [[2, 3]], [[2, -15]], [[2, 6]], [[2, -6]], [[2, -9]], [[2, -12]], [[2, 15]], [[2, 9]], [[2, 12]], [[2, -3]], [[-1, -6]], [[-1, 12]], [[-1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 9]], [[-1, -9]], [[-1, -15]], [[-1, 9]], [[-1, -6]], [[-1, -12]], [[-1, 6]], [[-1, 6]], [[-1, -15]], [[-1, -3]], [[-1, -3]], [[-1, 15]], [[-1, 3]], [[-1, -12]], [[-1, -9]]]}
  • id: 12966941
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 82, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d3', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -11]], [[2, 11]], [[-1, -11]], [[-1, 11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 15]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -12]], [[2, -3]], [[2, 12]], [[2, -9]], [[2, -15]], [[2, 9]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 15]], [[-1, -15]], [[-1, -3]], [[-1, 12]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[-1, -9]], [[-1, 9]], [[-1, -12]], [[2, 7]], [[2, 1]], [[2, 14]], [[2, 2]], [[2, -1]], [[2, 16]], [[2, 10]], [[2, -14]], [[2, -8]], [[2, 5]], [[2, -16]], [[2, 4]], [[2, -2]], [[2, -5]], [[2, 8]], [[2, -4]], [[2, -13]], [[2, -10]], [[2, -7]], [[2, 13]], [[-1, -1]], [[-1, -14]], [[-1, -8]], [[-1, -2]], [[-1, -16]], [[-1, 14]], [[-1, 16]], [[-1, 5]], [[-1, -7]], [[-1, 13]], [[-1, 7]], [[-1, 8]], [[-1, 2]], [[-1, -13]], [[-1, -5]], [[-1, -10]], [[-1, 1]], [[-1, 4]], [[-1, 10]], [[-1, -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]], [[2, -15]], [[2, 9]], [[2, 3]], [[2, -3]], [[2, 12]], [[2, -6]], [[2, -9]], [[2, -12]], [[2, 6]], [[2, 15]], [[-1, -3]], [[-1, 6]], [[-1, 6]], [[-1, -9]], [[-1, -15]], [[-1, -12]], [[-1, 12]], [[-1, 9]], [[-1, -12]], [[-1, -3]], [[-1, -6]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 15]], [[-1, 15]], [[-1, -9]], [[-1, -15]], [[-1, -6]], [[-1, 12]]]}
  • id: 12966942
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 83, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d4', 'nt': [66, 20], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 11]], [[2, -11]], [[-1, 11]], [[-1, -11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -15]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 12]], [[2, 3]], [[2, -12]], [[2, 9]], [[2, 15]], [[2, -9]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -15]], [[-1, 15]], [[-1, 3]], [[-1, -12]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[-1, 9]], [[-1, -9]], [[-1, 12]], [[2, -7]], [[2, -1]], [[2, -14]], [[2, -2]], [[2, 1]], [[2, -16]], [[2, -10]], [[2, 14]], [[2, 8]], [[2, -5]], [[2, 16]], [[2, -4]], [[2, 2]], [[2, 5]], [[2, -8]], [[2, 4]], [[2, 13]], [[2, 10]], [[2, 7]], [[2, -13]], [[-1, 1]], [[-1, 14]], [[-1, 8]], [[-1, 2]], [[-1, 16]], [[-1, -14]], [[-1, -16]], [[-1, -5]], [[-1, 7]], [[-1, -13]], [[-1, -7]], [[-1, -8]], [[-1, -2]], [[-1, 13]], [[-1, 5]], [[-1, 10]], [[-1, -1]], [[-1, -4]], [[-1, -10]], [[-1, 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]], [[2, 15]], [[2, -9]], [[2, -3]], [[2, 3]], [[2, -12]], [[2, 6]], [[2, 9]], [[2, 12]], [[2, -6]], [[2, -15]], [[-1, 3]], [[-1, -6]], [[-1, -6]], [[-1, 9]], [[-1, 15]], [[-1, 12]], [[-1, -12]], [[-1, -9]], [[-1, 12]], [[-1, 3]], [[-1, 6]], [[-1, -3]], [[-1, -3]], [[-1, -9]], [[-1, -15]], [[-1, -15]], [[-1, 9]], [[-1, 15]], [[-1, 6]], [[-1, -12]]]}
  • id: 12966943
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 84, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d5', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -11]], [[2, 11]], [[-1, -11]], [[-1, 11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -12]], [[2, -15]], [[2, 15]], [[2, -9]], [[2, 3]], [[2, 9]], [[2, -3]], [[2, -6]], [[2, 12]], [[2, 6]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -12]], [[-1, 12]], [[-1, 9]], [[-1, -3]], [[-1, -9]], [[-1, 15]], [[-1, -15]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[2, 1]], [[2, -14]], [[2, 2]], [[2, 5]], [[2, 14]], [[2, 7]], [[2, -8]], [[2, -2]], [[2, 13]], [[2, -4]], [[2, -7]], [[2, 10]], [[2, -5]], [[2, 4]], [[2, -13]], [[2, -10]], [[2, -16]], [[2, 8]], [[2, -1]], [[2, 16]], [[-1, 14]], [[-1, -2]], [[-1, 13]], [[-1, -5]], [[-1, -7]], [[-1, 2]], [[-1, 7]], [[-1, -4]], [[-1, -1]], [[-1, 16]], [[-1, 1]], [[-1, -13]], [[-1, 5]], [[-1, -16]], [[-1, 4]], [[-1, 8]], [[-1, -14]], [[-1, 10]], [[-1, -8]], [[-1, -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]], [[2, 12]], [[2, 6]], [[2, -9]], [[2, 9]], [[2, -3]], [[2, -15]], [[2, -6]], [[2, 3]], [[2, 15]], [[2, -12]], [[-1, 9]], [[-1, 15]], [[-1, 15]], [[-1, -6]], [[-1, 12]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[-1, -15]], [[-1, -9]], [[-1, -9]], [[-1, 6]], [[-1, -12]], [[-1, -12]], [[-1, -6]], [[-1, 12]], [[-1, -15]], [[-1, -3]]]}
  • id: 12966944
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 85, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d6', 'nt': [66, 20], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 11]], [[2, -11]], [[-1, 11]], [[-1, -11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 12]], [[2, 15]], [[2, -15]], [[2, 9]], [[2, -3]], [[2, -9]], [[2, 3]], [[2, 6]], [[2, -12]], [[2, -6]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12]], [[-1, -12]], [[-1, -9]], [[-1, 3]], [[-1, 9]], [[-1, -15]], [[-1, 15]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[2, -1]], [[2, 14]], [[2, -2]], [[2, -5]], [[2, -14]], [[2, -7]], [[2, 8]], [[2, 2]], [[2, -13]], [[2, 4]], [[2, 7]], [[2, -10]], [[2, 5]], [[2, -4]], [[2, 13]], [[2, 10]], [[2, 16]], [[2, -8]], [[2, 1]], [[2, -16]], [[-1, -14]], [[-1, 2]], [[-1, -13]], [[-1, 5]], [[-1, 7]], [[-1, -2]], [[-1, -7]], [[-1, 4]], [[-1, 1]], [[-1, -16]], [[-1, -1]], [[-1, 13]], [[-1, -5]], [[-1, 16]], [[-1, -4]], [[-1, -8]], [[-1, 14]], [[-1, -10]], [[-1, 8]], [[-1, 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]], [[2, -12]], [[2, -6]], [[2, 9]], [[2, -9]], [[2, 3]], [[2, 15]], [[2, 6]], [[2, -3]], [[2, -15]], [[2, 12]], [[-1, -9]], [[-1, -15]], [[-1, -15]], [[-1, 6]], [[-1, -12]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[-1, -9]], [[-1, 15]], [[-1, 9]], [[-1, 9]], [[-1, -6]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[-1, -12]], [[-1, 15]], [[-1, 3]]]}
  • id: 12966945
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 86, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d7', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -11]], [[2, 11]], [[-1, -11]], [[-1, 11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 12]], [[2, 15]], [[2, -15]], [[2, 9]], [[2, -3]], [[2, -9]], [[2, 3]], [[2, 6]], [[2, -12]], [[2, -6]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12]], [[-1, -12]], [[-1, -9]], [[-1, 3]], [[-1, 9]], [[-1, -15]], [[-1, 15]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[2, 10]], [[2, -8]], [[2, -13]], [[2, -16]], [[2, 8]], [[2, 4]], [[2, -14]], [[2, 13]], [[2, -2]], [[2, -7]], [[2, -4]], [[2, 1]], [[2, 16]], [[2, 7]], [[2, 2]], [[2, -1]], [[2, 5]], [[2, 14]], [[2, -10]], [[2, -5]], [[-1, 8]], [[-1, 13]], [[-1, -2]], [[-1, 16]], [[-1, -4]], [[-1, -13]], [[-1, 4]], [[-1, -7]], [[-1, -10]], [[-1, -5]], [[-1, 10]], [[-1, 2]], [[-1, -16]], [[-1, 5]], [[-1, 7]], [[-1, 14]], [[-1, -8]], [[-1, 1]], [[-1, -14]], [[-1, -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]], [[2, -12]], [[2, -6]], [[2, 9]], [[2, -9]], [[2, 3]], [[2, 15]], [[2, 6]], [[2, -3]], [[2, -15]], [[2, 12]], [[-1, -9]], [[-1, -15]], [[-1, -15]], [[-1, 6]], [[-1, -12]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[-1, -9]], [[-1, 15]], [[-1, 9]], [[-1, 9]], [[-1, -6]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[-1, -12]], [[-1, 15]], [[-1, 3]]]}
  • id: 12966946
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 87, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d8', 'nt': [66, 20], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, 11]], [[2, -11]], [[-1, 11]], [[-1, -11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -12]], [[2, -15]], [[2, 15]], [[2, -9]], [[2, 3]], [[2, 9]], [[2, -3]], [[2, -6]], [[2, 12]], [[2, 6]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -12]], [[-1, 12]], [[-1, 9]], [[-1, -3]], [[-1, -9]], [[-1, 15]], [[-1, -15]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[2, -10]], [[2, 8]], [[2, 13]], [[2, 16]], [[2, -8]], [[2, -4]], [[2, 14]], [[2, -13]], [[2, 2]], [[2, 7]], [[2, 4]], [[2, -1]], [[2, -16]], [[2, -7]], [[2, -2]], [[2, 1]], [[2, -5]], [[2, -14]], [[2, 10]], [[2, 5]], [[-1, -8]], [[-1, -13]], [[-1, 2]], [[-1, -16]], [[-1, 4]], [[-1, 13]], [[-1, -4]], [[-1, 7]], [[-1, 10]], [[-1, 5]], [[-1, -10]], [[-1, -2]], [[-1, 16]], [[-1, -5]], [[-1, -7]], [[-1, -14]], [[-1, 8]], [[-1, -1]], [[-1, 14]], [[-1, 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]], [[2, 12]], [[2, 6]], [[2, -9]], [[2, 9]], [[2, -3]], [[2, -15]], [[2, -6]], [[2, 3]], [[2, 15]], [[2, -12]], [[-1, 9]], [[-1, 15]], [[-1, 15]], [[-1, -6]], [[-1, 12]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[-1, -15]], [[-1, -9]], [[-1, -9]], [[-1, 6]], [[-1, -12]], [[-1, -12]], [[-1, -6]], [[-1, 12]], [[-1, -15]], [[-1, -3]]]}
  • id: 12966947
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 231, 'counter': 88, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '198.6', 'image_order': 198, 'indicator': 0, 'kernel': '198.a1.a1', 'kernel_order': 7, 'label': '1386.18.2d9', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[2, -11]], [[2, 11]], [[-1, -11]], [[-1, 11]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -9]], [[2, -3]], [[2, 3]], [[2, -15]], [[2, -6]], [[2, 15]], [[2, 6]], [[2, 12]], [[2, 9]], [[2, -12]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -9]], [[-1, 9]], [[-1, 15]], [[-1, 6]], [[-1, -15]], [[-1, 3]], [[-1, -3]], [[-1, 12]], [[-1, -12]], [[-1, -6]], [[2, -2]], [[2, -5]], [[2, -4]], [[2, -10]], [[2, 5]], [[2, -14]], [[2, 16]], [[2, 4]], [[2, 7]], [[2, 8]], [[2, 14]], [[2, 13]], [[2, 10]], [[2, -8]], [[2, -7]], [[2, -13]], [[2, -1]], [[2, -16]], [[2, 2]], [[2, 1]], [[-1, 5]], [[-1, 4]], [[-1, 7]], [[-1, 10]], [[-1, 14]], [[-1, -4]], [[-1, -14]], [[-1, 8]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -7]], [[-1, -10]], [[-1, -1]], [[-1, -8]], [[-1, -16]], [[-1, -5]], [[-1, 13]], [[-1, 16]], [[-1, -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]], [[2, 9]], [[2, -12]], [[2, -15]], [[2, 15]], [[2, 6]], [[2, -3]], [[2, 12]], [[2, -6]], [[2, 3]], [[2, -9]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 12]], [[-1, 9]], [[-1, -6]], [[-1, 6]], [[-1, -12]], [[-1, -6]], [[-1, 15]], [[-1, -3]], [[-1, -15]], [[-1, -15]], [[-1, -12]], [[-1, -9]], [[-1, -9]], [[-1, 12]], [[-1, 9]], [[-1, -3]], [[-1, 6]]]}
  • id: 12966830
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 100, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '42.1', 'image_order': 42, 'indicator': 1, 'kernel': '42.a1.a1', 'kernel_order': 33, 'label': '1386.18.6a', 'nt': [7, 4], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 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]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 12966831
    {'center': '126.a1.a1', 'center_index': 126, 'center_order': 11, 'counter': 101, 'cyclotomic_n': 21, 'dim': 6, 'faithful': False, 'field': [-5, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '126.9', 'image_order': 126, 'indicator': 1, 'kernel': '126.a1.a1', 'kernel_order': 11, 'label': '1386.18.6b1', 'nt': [21, 10], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]]]}
  • id: 12966832
    {'center': '126.a1.a1', 'center_index': 126, 'center_order': 11, 'counter': 102, 'cyclotomic_n': 21, 'dim': 6, 'faithful': False, 'field': [-5, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '126.9', 'image_order': 126, 'indicator': 1, 'kernel': '126.a1.a1', 'kernel_order': 11, 'label': '1386.18.6b2', 'nt': [21, 10], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]]]}
  • id: 12966833
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 103, 'cyclotomic_n': 11, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '462.2', 'image_order': 462, 'indicator': 0, 'kernel': '462.a1.a1', 'kernel_order': 3, 'label': '1386.18.6c1', 'nt': [77, 0], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, -5]], [[6, 2]], [[6, -2]], [[6, -1]], [[6, 4]], [[6, 1]], [[6, -4]], [[6, 3]], [[6, 5]], [[6, -3]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, -5]], [[6, 5]], [[6, 1]], [[6, -4]], [[6, -1]], [[6, -2]], [[6, 2]], [[6, 3]], [[6, -3]], [[6, 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]], [[-1, 5]], [[-1, -3]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 3]], [[-1, 4]], [[-1, -2]], [[-1, -5]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 3]], [[-1, 5]], [[-1, 4]], [[-1, -4]], [[-1, -3]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -3]], [[-1, -5]], [[-1, -5]], [[-1, 3]], [[-1, 5]], [[-1, 2]], [[-1, -4]]]}
  • id: 12966843
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 112, 'cyclotomic_n': 11, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '462.2', 'image_order': 462, 'indicator': 0, 'kernel': '462.a1.a1', 'kernel_order': 3, 'label': '1386.18.6c10', 'nt': [77, 10], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, 1]], [[6, 4]], [[6, -4]], [[6, -2]], [[6, -3]], [[6, 2]], [[6, 3]], [[6, -5]], [[6, -1]], [[6, 5]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[6, -1]], [[6, 2]], [[6, 3]], [[6, -2]], [[6, -4]], [[6, 4]], [[6, -5]], [[6, 5]], [[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]], [[-1, -1]], [[-1, 5]], [[-1, -2]], [[-1, 2]], [[-1, 3]], [[-1, 4]], [[-1, -5]], [[-1, -3]], [[-1, -4]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, -5]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, 5]], [[-1, -3]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, -5]], [[-1, -1]], [[-1, 4]], [[-1, 3]]]}
  • id: 12966834
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 104, 'cyclotomic_n': 11, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '462.2', 'image_order': 462, 'indicator': 0, 'kernel': '462.a1.a1', 'kernel_order': 3, 'label': '1386.18.6c2', 'nt': [77, 10], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, 5]], [[6, -2]], [[6, 2]], [[6, 1]], [[6, -4]], [[6, -1]], [[6, 4]], [[6, -3]], [[6, -5]], [[6, 3]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 5]], [[6, -5]], [[6, -1]], [[6, 4]], [[6, 1]], [[6, 2]], [[6, -2]], [[6, -3]], [[6, 3]], [[6, -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]], [[-1, -5]], [[-1, 3]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -3]], [[-1, -4]], [[-1, 2]], [[-1, 5]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, -5]], [[-1, -4]], [[-1, 4]], [[-1, 3]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, -3]], [[-1, -5]], [[-1, -2]], [[-1, 4]]]}
  • id: 12966835
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 105, 'cyclotomic_n': 11, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '462.2', 'image_order': 462, 'indicator': 0, 'kernel': '462.a1.a1', 'kernel_order': 3, 'label': '1386.18.6c3', 'nt': [77, 0], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, -4]], [[6, -5]], [[6, 5]], [[6, -3]], [[6, 1]], [[6, 3]], [[6, -1]], [[6, -2]], [[6, 4]], [[6, 2]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, -4]], [[6, 4]], [[6, 3]], [[6, -1]], [[6, -3]], [[6, 5]], [[6, -5]], [[6, -2]], [[6, 2]], [[6, 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]], [[-1, 4]], [[-1, 2]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, -5]], [[-1, -2]], [[-1, 1]], [[-1, 5]], [[-1, -4]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, -5]], [[-1, -3]], [[-1, -3]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, -5]], [[-1, -1]]]}
  • id: 12966836
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 106, 'cyclotomic_n': 11, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '462.2', 'image_order': 462, 'indicator': 0, 'kernel': '462.a1.a1', 'kernel_order': 3, 'label': '1386.18.6c4', 'nt': [77, 10], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, 4]], [[6, 5]], [[6, -5]], [[6, 3]], [[6, -1]], [[6, -3]], [[6, 1]], [[6, 2]], [[6, -4]], [[6, -2]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 4]], [[6, -4]], [[6, -3]], [[6, 1]], [[6, 3]], [[6, -5]], [[6, 5]], [[6, 2]], [[6, -2]], [[6, -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]], [[-1, -4]], [[-1, -2]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[-1, -1]], [[-1, -5]], [[-1, 4]], [[-1, -3]], [[-1, -5]], [[-1, -5]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -3]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, 5]], [[-1, 1]]]}
  • id: 12966837
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 107, 'cyclotomic_n': 11, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '462.2', 'image_order': 462, 'indicator': 0, 'kernel': '462.a1.a1', 'kernel_order': 3, 'label': '1386.18.6c5', 'nt': [77, 0], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, -3]], [[6, -1]], [[6, 1]], [[6, -5]], [[6, -2]], [[6, 5]], [[6, 2]], [[6, 4]], [[6, 3]], [[6, -4]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, -3]], [[6, 3]], [[6, 5]], [[6, 2]], [[6, -5]], [[6, 1]], [[6, -1]], [[6, 4]], [[6, -4]], [[6, -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]], [[-1, 3]], [[-1, -4]], [[-1, -5]], [[-1, 5]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, -3]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 5]], [[-1, -1]], [[-1, -5]], [[-1, -5]], [[-1, -4]], [[-1, -3]], [[-1, -3]], [[-1, 4]], [[-1, 3]], [[-1, -1]], [[-1, 2]]]}
  • id: 12966838
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 108, 'cyclotomic_n': 11, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '462.2', 'image_order': 462, 'indicator': 0, 'kernel': '462.a1.a1', 'kernel_order': 3, 'label': '1386.18.6c6', 'nt': [77, 10], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, 3]], [[6, 1]], [[6, -1]], [[6, 5]], [[6, 2]], [[6, -5]], [[6, -2]], [[6, -4]], [[6, -3]], [[6, 4]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 3]], [[6, -3]], [[6, -5]], [[6, -2]], [[6, 5]], [[6, -1]], [[6, 1]], [[6, -4]], [[6, 4]], [[6, 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]], [[-1, -3]], [[-1, 4]], [[-1, 5]], [[-1, -5]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, 3]], [[-1, -5]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 4]], [[-1, 3]], [[-1, 3]], [[-1, -4]], [[-1, -3]], [[-1, 1]], [[-1, -2]]]}
  • id: 12966839
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 109, 'cyclotomic_n': 11, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '462.2', 'image_order': 462, 'indicator': 0, 'kernel': '462.a1.a1', 'kernel_order': 3, 'label': '1386.18.6c7', 'nt': [77, 0], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, -2]], [[6, 3]], [[6, -3]], [[6, 4]], [[6, -5]], [[6, -4]], [[6, 5]], [[6, -1]], [[6, 2]], [[6, 1]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, -2]], [[6, 2]], [[6, -4]], [[6, 5]], [[6, 4]], [[6, -3]], [[6, 3]], [[6, -1]], [[6, 1]], [[6, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 4]], [[-1, -4]], [[-1, 5]], [[-1, 3]], [[-1, -1]], [[-1, -5]], [[-1, -3]], [[-1, -2]], [[-1, -4]], [[-1, -3]], [[-1, -3]], [[-1, -1]], [[-1, 2]], [[-1, -5]], [[-1, 5]], [[-1, 1]], [[-1, -5]], [[-1, -4]], [[-1, 3]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 3]], [[-1, 5]]]}
  • id: 12966841
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 110, 'cyclotomic_n': 11, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '462.2', 'image_order': 462, 'indicator': 0, 'kernel': '462.a1.a1', 'kernel_order': 3, 'label': '1386.18.6c8', 'nt': [77, 10], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, 2]], [[6, -3]], [[6, 3]], [[6, -4]], [[6, 5]], [[6, 4]], [[6, -5]], [[6, 1]], [[6, -2]], [[6, -1]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 2]], [[6, -2]], [[6, 4]], [[6, -5]], [[6, -4]], [[6, 3]], [[6, -3]], [[6, 1]], [[6, -1]], [[6, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, -4]], [[-1, 4]], [[-1, -5]], [[-1, -3]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 2]], [[-1, 4]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, -2]], [[-1, 5]], [[-1, -5]], [[-1, -1]], [[-1, 5]], [[-1, 4]], [[-1, -3]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -3]], [[-1, -5]]]}
  • id: 12966842
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 33, 'counter': 111, 'cyclotomic_n': 11, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1386.18', 'group_counter': 18, 'group_order': 1386, 'image': None, 'image_isoclass': '462.2', 'image_order': 462, 'indicator': 0, 'kernel': '462.a1.a1', 'kernel_order': 3, 'label': '1386.18.6c9', 'nt': [77, 0], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[6, -1]], [[6, -4]], [[6, 4]], [[6, 2]], [[6, 3]], [[6, -2]], [[6, -3]], [[6, 5]], [[6, 1]], [[6, -5]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[6, 1]], [[6, -2]], [[6, -3]], [[6, 2]], [[6, 4]], [[6, -4]], [[6, 5]], [[6, -5]], [[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]], [[-1, 1]], [[-1, -5]], [[-1, 2]], [[-1, -2]], [[-1, -3]], [[-1, -4]], [[-1, 5]], [[-1, 3]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, -5]], [[-1, 3]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[-1, -5]], [[-1, -1]], [[-1, -1]], [[-1, 5]], [[-1, 1]], [[-1, -4]], [[-1, -3]]]}
  • id: 12966844
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24], [4, 28], [1, 29], [2, 32], [-2, 34], [-2, 35], [2, 36], [-2, 38], [-2, 39], [2, 41], [-2, 42], [-2, 43], [2, 44], [4, 45], [-2, 47], [4, 49], [-3, 51], [-2, 52], [2, 53], [-2, 55], [-2, 56], [2, 57], [-2, 59], [-2, 60], [2, 61], [2, 62], [-2, 63], [-2, 64], [2, 65], [2, 66], [-2, 67], [-2, 68], [2, 69], [4, 70], [-2, 72], [4, 74], [-2, 76], [-2, 77], [2, 78], [-2, 80], [-2, 81], [2, 82], [-1, 84], [-2, 85], [2, 86], [2, 87], [2, 90], [2, 91], [-2, 93], [-2, 96], [-2, 97], [-2, 98], [-2, 100], [-2, 101], [2, 103], [1, 106], [4, 107], [2, 108], [2, 111], [2, 112], [-2, 114], [-2, -114], [-2, -113], [-2, -112]], [[-1, 8], [-1, 19], [-1, 52], [1, 63], [-1, 74], [-1, 107], [-1, -113]], [[-1, 0], [-1, 1], [-1, 2], [-1, 5], [1, 7], [1, 8], [1, 11], [2, 12], [2, 13], [1, 16], [-1, 18], [-1, 19], [-1, 21], [-1, 22], [-1, 23], [-1, 26], [1, 28], [1, 29], [1, 32], [1, 33], [-1, 34], [-2, 35], [1, 37], [-1, 38], [-1, 39], [1, 41], [-1, 42], [-1, 43], [2, 45], [-1, 47], [2, 49], [1, 50], [-1, 51], [-1, 52], [1, 53], [1, 54], [-1, 55], [-1, 56], [1, 57], [1, 58], [-1, 59], [-1, 60], [1, 62], [-1, 63], [-1, 64], [1, 66], [-1, 67], [-3, 68], [2, 70], [-1, 72], [2, 74], [1, 75], [-1, 76], [-1, 77], [1, 78], [-1, 80], [-1, 81], [1, 83], [-1, 84], [-1, 85], [1, 87], [2, 90], [2, 91], [1, 95], [-1, 97], [-1, 98], [-1, 100], [-3, 101], [-1, 102], [-1, 105], [1, 107], [1, 108], [1, 111], [1, 112], [1, -115], [-1, -113], [-1, -112]], [[2, 1], [2, 5], [-2, 8], [2, 9], [-2, 12], [-2, 16], [-1, 20], [2, 22], [2, 26], [-2, 29], [2, 30], [-2, 33], [2, 34], [-2, 37], [2, 38], [-2, 41], [2, 42], [2, 43], [-2, 45], [2, 47], [-2, 49], [-2, 50], [2, 51], [-2, 54], [2, 55], [-2, 58], [2, 59], [-2, 62], [2, 63], [-2, 66], [2, 67], [2, 68], [-2, 70], [2, 72], [-2, 74], [-1, 75], [2, 76], [-2, 79], [2, 80], [-2, 83], [2, 84], [2, 86], [-2, 87], [2, 88], [-2, 91], [-2, 95], [1, 97], [2, 101], [2, 105], [-1, 108], [2, 109], [-2, 112], [-2, -115], [1, -112]], [[1, 1], [1, 4], [-1, 7], [-1, 8], [-1, 12], [1, 14], [-1, 15], [1, 18], [1, 19], [1, 22], [-1, 25], [1, 26], [-1, 28], [-1, 29], [-1, 33], [1, 34], [1, 35], [1, 37], [1, 39], [-1, 41], [1, 43], [-1, 45], [-1, 46], [1, 47], [-1, 49], [-1, 50], [1, 51], [1, 52], [-1, 54], [1, 55], [1, 56], [-1, 58], [1, 59], [1, 60], [-1, 62], [1, 64], [-1, 66], [1, 68], [-1, 70], [-1, 71], [1, 72], [-1, 74], [-1, 75], [1, 76], [1, 77], [-1, 79], [1, 80], [1, 81], [-1, 83], [1, 85], [-1, 87], [-1, 91], [-2, 92], [1, 93], [1, 97], [1, 98], [1, 101], [-1, 104], [-1, 107], [-1, 108], [-1, 112], [1, 114], [1, -113], [1, -112]], [[1, 0], [1, 1], [1, 2], [1, 5], [-1, 7], [-1, 8], [-1, 11], [-2, 12], [-2, 13], [-1, 16], [1, 18], [1, 19], [1, 21], [1, 22], [1, 23], [1, 26], [-1, 28], [-1, 29], [-1, 32], [-1, 33], [1, 34], [1, 35], [-1, 37], [1, 38], [1, 39], [-1, 41], [1, 42], [1, 43], [-2, 45], [1, 47], [-2, 49], [-1, 50], [1, 51], [1, 52], [-1, 53], [-1, 54], [1, 55], [1, 56], [-1, 57], [-1, 58], [1, 59], [1, 60], [-1, 62], [1, 63], [1, 64], [-1, 66], [1, 67], [3, 68], [-2, 70], [1, 72], [-2, 74], [-1, 75], [1, 76], [1, 77], [-1, 78], [1, 80], [1, 81], [-1, 83], [1, 84], [1, 85], [-1, 87], [-2, 90], [-2, 91], [-1, 95], [1, 97], [1, 98], [1, 100], [3, 101], [1, 102], [1, 105], [-1, 107], [-1, 108], [-1, 111], [-2, 112], [-1, -115], [1, -113], [1, -112]], [[1, 1], [1, 2], [2, 6], [-1, 8], [-1, 12], [-1, 13], [-1, 16], [1, 19], [1, 22], [1, 23], [1, 27], [-1, 28], [-1, 29], [-1, 33], [1, 35], [-1, 37], [1, 39], [1, 40], [-1, 41], [1, 43], [1, 44], [-1, 45], [-1, 46], [1, 48], [-1, 49], [-2, 50], [1, 52], [-1, 54], [1, 56], [-1, 58], [1, 60], [-1, 61], [-1, 62], [1, 64], [1, 65], [-1, 66], [1, 68], [1, 69], [-1, 70], [-1, 71], [1, 72], [1, 73], [-1, 74], [-1, 75], [1, 77], [-1, 79], [1, 81], [1, 83], [1, 85], [1, 86], [-1, 87], [-1, 91], [-1, 92], [-1, 94], [-1, 95], [1, 98], [1, 101], [1, 102], [1, 105], [1, 106], [-1, 108], [-1, 112], [-1, 113], [-1, -115], [1, -112]], [[2, 1], [-1, 4], [-1, 8], [1, 11], [-1, 12], [1, 15], [1, 19], [-1, 25], [-1, 29], [1, 32], [-1, 33], [1, 36], [-1, 37], [1, 40], [-1, 41], [1, 44], [-1, 45], [-1, 46], [1, 48], [-1, 50], [1, 52], [1, 53], [-1, 54], [1, 57], [-1, 58], [1, 61], [-1, 62], [1, 65], [-1, 66], [1, 67], [1, 69], [-1, 70], [-1, 71], [1, 73], [-1, 75], [1, 77], [1, 78], [-1, 79], [1, 82], [-1, 83], [1, 86], [-1, 87], [1, 90], [-1, 91], [1, 94], [1, 98], [1, 100], [-1, 104], [-1, 108], [-1, 112], [1, 115], [1, -112]], [[1, 5], [1, 27], [1, 38], [-1, 49], [-1, 82], [2, 104], [-1, 115]], [[-1, 0], [-1, 1], [-1, 5], [1, 7], [1, 11], [1, 12], [1, 15], [-1, 18], [-1, 21], [-1, 22], [-1, 26], [-1, 27], [1, 28], [1, 32], [-1, 34], [1, 36], [-1, 38], [-1, 39], [1, 40], [-1, 42], [-1, 43], [1, 44], [1, 45], [-1, 47], [1, 48], [2, 49], [-1, 51], [1, 53], [-1, 55], [1, 57], [-1, 59], [-1, 60], [1, 61], [-1, 63], [-1, 64], [1, 65], [-1, 67], [-1, 68], [1, 69], [1, 70], [-1, 72], [1, 73], [1, 74], [-1, 76], [1, 78], [-1, 80], [2, 82], [-1, 84], [-1, 85], [1, 86], [1, 90], [1, 91], [-1, 93], [1, 94], [-1, 97], [-1, 100], [-1, 101], [-2, 104], [-1, 105], [1, 107], [1, 111], [1, 112], [2, 115], [-1, -113]], [[-2, 4], [1, 15], [-2, 37], [-1, 70], [-1, 81], [2, 92], [-1, 114]], [[-1, 0], [1, 3], [1, 6], [1, 7], [1, 11], [-1, 13], [-1, 14], [-1, 17], [-1, 18], [-1, 21], [1, 24], [-2, 25], [1, 27], [1, 28], [1, 32], [-1, 33], [-1, 34], [2, 36], [-1, 38], [1, 40], [-1, 42], [1, 44], [1, 45], [-1, 46], [-1, 47], [1, 48], [1, 49], [-1, 50], [-1, 51], [1, 53], [-1, 54], [-1, 55], [1, 57], [-2, 58], [-1, 59], [1, 61], [-1, 63], [1, 65], [-1, 67], [2, 69], [1, 70], [-1, 71], [1, 73], [1, 74], [-1, 75], [-1, 76], [1, 78], [-1, 79], [-1, 80], [1, 82], [-1, 84], [1, 86], [1, 90], [-1, 91], [-1, 92], [-1, 96], [-1, 97], [-1, 100], [1, 103], [1, 106], [1, 107], [1, 111], [1, 113], [-1, -114], [-1, -113]], [[1, 0], [-1, 3], [-1, 6], [-1, 7], [-1, 11], [1, 13], [1, 17], [1, 18], [1, 21], [-1, 24], [2, 25], [-1, 27], [-1, 28], [-1, 32], [1, 33], [1, 34], [-2, 36], [1, 38], [-1, 40], [1, 42], [-1, 44], [-1, 45], [1, 46], [1, 47], [-1, 48], [-1, 49], [1, 50], [1, 51], [-1, 53], [1, 54], [1, 55], [-1, 57], [2, 58], [1, 59], [-1, 61], [1, 63], [-1, 65], [1, 67], [-2, 69], [-1, 70], [1, 71], [-1, 73], [-1, 74], [1, 75], [1, 76], [-1, 78], [1, 79], [1, 80], [-1, 82], [1, 84], [-1, 86], [-1, 90], [1, 92], [1, 96], [1, 97], [1, 100], [-1, 103], [-1, 106], [-1, 107], [-1, 111], [-1, 113], [1, -114], [1, -113]], [[2, 0], [2, 1], [-2, 3], [-3, 7], [-2, 8], [-2, 11], [-2, 12], [2, 14], [2, 17], [3, 18], [2, 19], [2, 21], [2, 22], [-2, 24], [-4, 28], [-1, 29], [-2, 32], [2, 34], [2, 35], [-2, 36], [2, 38], [2, 39], [-2, 41], [2, 42], [2, 43], [-2, 44], [-4, 45], [2, 47], [-4, 49], [3, 51], [2, 52], [-2, 53], [2, 55], [2, 56], [-2, 57], [2, 59], [2, 60], [-2, 61], [-2, 62], [2, 63], [2, 64], [-2, 65], [-2, 66], [2, 67], [2, 68], [-2, 69], [-4, 70], [2, 72], [-4, 74], [2, 76], [2, 77], [-2, 78], [2, 80], [2, 81], [-2, 82], [2, 84], [2, 85], [-2, 86], [-2, 87], [-2, 90], [-2, 91], [2, 93], [2, 96], [2, 97], [2, 98], [2, 100], [2, 101], [-2, 103], [-1, 106], [-4, 107], [-2, 108], [-2, 111], [-2, 112], [2, 114], [2, -114], [2, -113], [2, -112]], [[1, 8], [1, 19], [1, 52], [1, 74], [1, 107], [1, -113]], [[-2, 1], [2, 4], [2, 8], [-2, 11], [1, 12], [-2, 15], [-2, 19], [2, 25], [2, 29], [-2, 32], [2, 33], [-2, 36], [2, 37], [-2, 40], [2, 41], [-2, 44], [1, 45], [2, 46], [-2, 48], [2, 50], [-2, 52], [-2, 53], [2, 54], [-1, 56], [-2, 57], [2, 58], [-2, 61], [2, 62], [-2, 65], [2, 66], [-2, 69], [2, 70], [2, 71], [-2, 73], [2, 75], [-2, 77], [-2, 78], [2, 79], [-2, 82], [2, 83], [-2, 86], [2, 87], [-2, 90], [2, 91], [-2, 94], [-2, 98], [2, 104], [2, 108], [-1, 111], [2, 112], [-2, 115], [-2, -112]], [[-2, 1], [-2, 5], [2, 8], [-2, 9], [2, 12], [2, 16], [1, 20], [-2, 22], [-2, 26], [2, 29], [-2, 30], [2, 33], [-2, 34], [2, 37], [-2, 38], [2, 41], [-1, 42], [-2, 43], [2, 45], [-2, 47], [2, 49], [2, 50], [-2, 51], [2, 54], [-2, 55], [2, 58], [-2, 59], [2, 62], [-2, 63], [2, 66], [-2, 67], [-2, 68], [2, 70], [-2, 72], [2, 74], [1, 75], [-2, 76], [2, 79], [-2, 80], [2, 83], [-2, 84], [-2, 86], [2, 87], [-2, 88], [2, 91], [2, 95], [-1, 97], [-2, 101], [-2, 105], [1, 108], [-2, 109], [2, 112], [2, -115], [-1, -112]]]}
• 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: 74763695
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': True, 'core_order': 1386, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 462, 'label': '1386.18.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '1386.18', 'subgroup_hash': 18, 'subgroup_order': 1386, 'subgroup_tex': 'C_{21}:C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 74763706
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 33, 'characteristic': True, 'core_order': 693, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 231, 'label': '1386.18.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, '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': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '693.3', 'subgroup_hash': 3, 'subgroup_order': 693, 'subgroup_tex': 'C_{21}:C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 74763717
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': True, 'core_order': 462, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1386.18.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, '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': '462.10', 'subgroup_hash': 10, 'subgroup_order': 462, 'subgroup_tex': 'C_{11}\\times D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 74763725
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 231, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1386.18.3.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '462.2', 'subgroup_hash': 2, 'subgroup_order': 462, 'subgroup_tex': 'C_{11}\\times F_7', 'supersolvable': True, 'sylow': 0}
  • id: 74763726
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 231, 'characteristic': True, 'core_order': 231, 'counter': 5, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1386.18.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F', 'S', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '231.2', 'subgroup_hash': 2, 'subgroup_order': 231, 'subgroup_tex': 'C_{231}', 'supersolvable': True, 'sylow': 0}
  • id: 74763727
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 33, 'characteristic': True, 'core_order': 231, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1386.18.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '231.1', 'subgroup_hash': 1, 'subgroup_order': 231, 'subgroup_tex': 'C_7:C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 74763728
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 33, 'characteristic': False, 'core_order': 77, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1386.18.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 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': '231.1', 'subgroup_hash': 1, 'subgroup_order': 231, 'subgroup_tex': 'C_7:C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 74763729
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 33, 'characteristic': False, 'core_order': 33, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 66, 'label': '1386.18.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.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': 7, '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': '198.6', 'subgroup_hash': 6, 'subgroup_order': 198, 'subgroup_tex': 'S_3\\times C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 74763730
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 77, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 154, 'label': '1386.18.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '154.1', 'subgroup_hash': 1, 'subgroup_order': 154, 'subgroup_tex': 'C_{11}\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 74763696
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': True, 'centralizer_order': 11, 'characteristic': True, 'core_order': 126, 'counter': 10, 'cyclic': False, 'direct': True, 'hall': 42, 'label': '1386.18.11.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '126.9', 'subgroup_hash': 9, 'subgroup_order': 126, 'subgroup_tex': 'C_{21}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74763697
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 99, 'characteristic': False, 'core_order': 33, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 33, 'label': '1386.18.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.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': 14, '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': '99.2', 'subgroup_hash': 2, 'subgroup_order': 99, 'subgroup_tex': 'C_3\\times C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 74763698
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 231, 'characteristic': True, 'core_order': 77, 'counter': 12, 'cyclic': True, 'direct': False, 'hall': 77, 'label': '1386.18.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1.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': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '77.1', 'subgroup_hash': 1, 'subgroup_order': 77, 'subgroup_tex': 'C_{77}', 'supersolvable': True, 'sylow': 0}
  • id: 74763699
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 66, 'characteristic': False, 'core_order': 11, 'counter': 13, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1386.18.21.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '21.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': 21, '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': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 74763700
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 33, 'characteristic': False, 'core_order': 33, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1386.18.21.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21.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': 21, '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': '66.1', 'subgroup_hash': 1, 'subgroup_order': 66, 'subgroup_tex': 'S_3\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 74763701
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 33, 'characteristic': True, 'core_order': 63, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 21, 'label': '1386.18.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '22.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '22.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 22, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '63.3', 'subgroup_hash': 3, 'subgroup_order': 63, 'subgroup_tex': 'C_{21}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 74763702
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': True, 'core_order': 42, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1386.18.33.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '33.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '42.5', 'subgroup_hash': 5, 'subgroup_order': 42, 'subgroup_tex': 'D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 74763703
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 21, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1386.18.33.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33.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': 33, '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': '42.1', 'subgroup_hash': 1, 'subgroup_order': 42, 'subgroup_tex': 'F_7', 'supersolvable': True, 'sylow': 0}
  • id: 74763704
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 693, 'characteristic': True, 'core_order': 33, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1386.18.42.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '42.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '42.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 42, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 74763705
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 198, 'characteristic': False, 'core_order': 11, 'counter': 19, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1386.18.42.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, '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': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 74763707
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 99, 'characteristic': False, 'core_order': 11, 'counter': 20, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1386.18.42.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, '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': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 74763708
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 66, 'characteristic': False, 'core_order': 11, 'counter': 21, 'cyclic': True, 'direct': None, 'hall': 22, 'label': '1386.18.63.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '63.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': 63, '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': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 74763709
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 231, 'characteristic': True, 'core_order': 21, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1386.18.66.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '66.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '66.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 66, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{66}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': 2, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 74763710
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 33, 'characteristic': True, 'core_order': 21, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1386.18.66.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '66.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '66.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 66, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '21.1', 'subgroup_hash': 1, 'subgroup_order': 21, 'subgroup_tex': 'C_7:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 74763711
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 33, 'characteristic': False, 'core_order': 7, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1386.18.66.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66.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': 66, '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': '21.1', 'subgroup_hash': 1, 'subgroup_order': 21, 'subgroup_tex': 'C_7:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 74763712
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 33, 'characteristic': False, 'core_order': 3, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1386.18.77.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '77.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': 77, '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: 74763713
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 7, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '1386.18.99.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '99.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': 99, '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': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 74763714
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': True, 'central_factor': False, 'centralizer_order': 1386, 'characteristic': True, 'core_order': 11, 'counter': 27, 'cyclic': True, 'direct': True, 'hall': 11, 'label': '1386.18.126.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '126.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '126.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 126, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{21}:C_6', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U0', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 74763715
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 99, 'characteristic': False, 'core_order': 3, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '1386.18.154.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '154.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': 154, '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': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
  • id: 74763716
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 231, 'characteristic': True, 'core_order': 7, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '1386.18.198.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '198.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '198.6', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 198, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{33}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 74763718
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 66, 'characteristic': False, 'core_order': 1, 'counter': 30, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1386.18.231.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '231.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': 231, '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: 74763719
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 33, 'characteristic': False, 'core_order': 3, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1386.18.231.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '231.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': 231, '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: 74763720
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 693, 'characteristic': True, 'core_order': 3, 'counter': 32, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1386.18.462.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '462.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '462.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 462, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}\\times F_7', 'simple': True, 'solvable': True, 'special_labels': [], '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: 74763721
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 198, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1386.18.462.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '462.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': 462, '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: 74763722
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 99, 'characteristic': False, 'core_order': 1, 'counter': 34, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1386.18.462.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '462.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': 462, '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: 74763723
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': False, 'central_factor': False, 'centralizer_order': 66, 'characteristic': False, 'core_order': 1, 'counter': 35, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '1386.18.693.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '693.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': 693, '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': 2}
  • id: 74763724
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1386.18', 'ambient_counter': 18, 'ambient_order': 1386, 'ambient_tex': 'C_{21}:C_{66}', 'central': True, 'central_factor': False, 'centralizer_order': 1386, 'characteristic': True, 'core_order': 1, 'counter': 36, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1386.18.1386.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1386.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1386.18', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1386, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{21}:C_{66}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'PC', 'U1', 'D2', 'C5'], '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: 74763695
    {'ambient': '1386.18', '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': '126.a1.a1', 'complements': ['1386.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '3.a1.a1', '3.b1.a1', '7.a1.a1', '11.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3314, 6118, 4434, 6118, 6722, 6219, 6178, 5833], 'generators': [3, 126, 924, 2, 396], 'label': '1386.18.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '3.a1.a1', '11.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '126.9', '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': '126.9'}
  • id: 74763696
    {'ambient': '1386.18', 'aut_centralizer_order': 10, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '252.26', 'aut_weyl_index': 10, 'centralizer': '126.a1.a1', 'complements': ['126.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.a1.a1', '33.a1.a1', '33.b1.a1', '77.a1.a1'], 'core': '11.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1528, 6137, 1441, 6137, 8731, 9071, 7206, 5833], 'generators': [3, 924, 396, 2], 'label': '1386.18.11.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['22.a1.a1', '33.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '126.9'}
  • id: 74763697
    {'ambient': '1386.18', 'aut_centralizer_order': 18, 'aut_label': '14.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '20.5', 'aut_weyl_index': 126, 'centralizer': '14.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['42.a1.a1', '42.b1.a1', '42.c1.a1', '154.a1.a1'], 'core': '42.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8506, -1, 9154, -1, 2406, -1, 4800, -1], 'generators': [2, 126, 924], 'label': '1386.18.14.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '126.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 74763698
    {'ambient': '1386.18', 'aut_centralizer_order': 42, 'aut_label': '18.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '60.13', 'aut_weyl_index': 42, 'centralizer': '6.a1.a1', 'complements': ['77.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '9.a1.a1'], 'contains': ['126.a1.a1', '198.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4249, 2696, 3900, 2696, 3036, 2226, 3023, 4625], 'generators': [396, 126], 'label': '1386.18.18.a1.a1', 'mobius_quo': 1, 'mobius_sub': -3, 'normal_closure': '18.a1.a1', 'normal_contained_in': ['6.a1.a1', '6.b1.a1'], 'normal_contains': ['126.a1.a1', '198.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '126.9', 'quotient_action_image': '6.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 74763699
    {'ambient': '1386.18', 'aut_centralizer_order': 12, 'aut_label': '21.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '10.2', 'aut_weyl_index': 252, 'centralizer': '21.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.a1', '7.a1.a1'], 'contains': ['42.b1.a1', '63.a1.a1', '231.a1.a1'], 'core': '126.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [5359, -1, 8067, -1, 7796, -1, 7796, -1], 'generators': [3, 126, 2], 'label': '1386.18.21.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '21.a1.a1', 'projective_image': '126.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 74763700
    {'ambient': '1386.18', 'aut_centralizer_order': 6, 'aut_label': '21.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '60.11', 'aut_weyl_index': 42, 'centralizer': '42.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '7.a1.a1'], 'contains': ['42.a1.a1', '63.a1.a1', '231.b1.a1'], 'core': '42.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [6720, -1, 6004, -1, 6967, -1, 8624, -1], 'generators': [3, 924, 126], 'label': '1386.18.21.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '21.b1.a1', 'projective_image': '126.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 74763701
    {'ambient': '1386.18', 'aut_centralizer_order': 30, 'aut_label': '22.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '84.7', 'aut_weyl_index': 30, 'centralizer': '42.a1.a1', 'complements': ['63.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['66.a1.a1', '66.b1.a1', '66.c1.a1', '154.a1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2053, 4971, 1967, 4971, 4786, 6716, 3063, 4625], 'generators': [2, 396, 924], 'label': '1386.18.22.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '22.a1.a1', 'normal_contained_in': ['2.a1.a1', '11.a1.a1'], 'normal_contains': ['66.a1.a1', '66.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': '2.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 74763702
    {'ambient': '1386.18', 'aut_centralizer_order': 10, 'aut_label': '33.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '252.26', 'aut_weyl_index': 10, 'centralizer': '126.a1.a1', 'complements': ['42.b1.a1', '42.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.a1'], 'contains': ['66.a1.a1', '99.a1.a1', '231.b1.a1'], 'core': '33.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1536, 7151, 759, 7151, 8386, 9071, 7206, 8507], 'generators': [3, 396, 924], 'label': '1386.18.33.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '33.a1.a1', 'normal_contained_in': ['3.a1.a1', '11.a1.a1'], 'normal_contains': ['66.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': '3.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '33.a1.a1', 'subgroup_fusion': None, 'weyl_group': '126.9'}
  • id: 74763703
    {'ambient': '1386.18', 'aut_centralizer_order': 20, 'aut_label': '33.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '42.1', 'aut_weyl_index': 60, 'centralizer': '126.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.a1', '11.a1.a1'], 'contains': ['66.b1.a1', '99.a1.a1', '231.a1.a1'], 'core': '66.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [226, -1, 3650, -1, 8923, -1, 6669, -1], 'generators': [3, 396, 2], 'label': '1386.18.33.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '11.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '33.b1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33.b1.a1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 74763704
    {'ambient': '1386.18', 'aut_centralizer_order': 126, 'aut_label': '42.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 126, 'centralizer': '2.a1.a1', 'complements': ['33.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '14.a1.a1', '21.b1.a1'], 'contains': ['126.a1.a1', '462.a1.a1'], 'core': '42.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8715, 7858, 6091, 7858, 3620, 3845, 5927, 7662], 'generators': [924, 126], 'label': '1386.18.42.a1.a1', 'mobius_quo': 1, 'mobius_sub': -7, 'normal_closure': '42.a1.a1', 'normal_contained_in': ['6.a1.a1'], 'normal_contains': ['126.a1.a1', '462.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '42.a1.a1', 'projective_image': '126.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '21.1', 'quotient_action_kernel_order': 21, 'quotient_fusion': None, 'short_label': '42.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 74763705
    {'ambient': '1386.18', 'aut_centralizer_order': 36, 'aut_label': '42.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '10.2', 'aut_weyl_index': 252, 'centralizer': '7.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '14.a1.a1', '21.a1.a1'], 'contains': ['126.a1.a1', '462.b1.a1'], 'core': '126.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7238, -1, 9698, -1, 4203, -1, 4800, -1], 'generators': [2, 126], 'label': '1386.18.42.b1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '42.b1.a1', 'projective_image': '126.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 74763706
    {'ambient': '1386.18', 'aut_centralizer_order': 3, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '840.156', 'aut_weyl_index': 3, 'centralizer': '42.a1.a1', 'complements': ['693.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '14.a1.a1', '22.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4466, 3900, 3434, 3900, 3003, 2668, 3447, 3123], 'generators': [2, 126, 396, 924], 'label': '1386.18.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.b1.a1', '22.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '126.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 74763707
    {'ambient': '1386.18', 'aut_centralizer_order': 18, 'aut_label': '42.c1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '10.2', 'aut_weyl_index': 252, 'centralizer': '14.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '14.a1.a1'], 'contains': ['126.a1.a1', '462.c1.a1'], 'core': '126.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [9774, -1, 8938, -1, 1843, -1, 2440, -1], 'generators': [1124, 126], 'label': '1386.18.42.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.a1.a1', 'old_label': '42.c1.a1', 'projective_image': '126.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 74763708
    {'ambient': '1386.18', 'aut_centralizer_order': 12, 'aut_label': '63.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '10.2', 'aut_weyl_index': 252, 'centralizer': '21.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '21.a1.a1', '21.b1.a1'], 'contains': ['126.a1.a1', '693.a1.a1'], 'core': '126.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [5443, -1, 7075, -1, 6523, -1, 6987, -1], 'generators': [3, 126], 'label': '1386.18.63.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '63.a1.a1', 'projective_image': '126.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '63.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 74763709
    {'ambient': '1386.18', 'aut_centralizer_order': 210, 'aut_label': '66.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 210, 'centralizer': '6.a1.a1', 'complements': ['21.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '22.a1.a1', '33.a1.a1'], 'contains': ['198.a1.a1', '462.a1.a1'], 'core': '66.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2796, 5927, 302, 5927, 4786, 7157, 4216, 6143], 'generators': [924, 396], 'label': '1386.18.66.a1.a1', 'mobius_quo': 1, 'mobius_sub': -1, 'normal_closure': '66.a1.a1', 'normal_contained_in': ['6.a1.a1', '22.a1.a1', '33.a1.a1'], 'normal_contains': ['198.a1.a1', '462.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '66.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': '6.2', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '66.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 74763710
    {'ambient': '1386.18', 'aut_centralizer_order': 60, 'aut_label': '66.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '42.1', 'aut_weyl_index': 60, 'centralizer': '42.a1.a1', 'complements': ['21.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '22.a1.a1', '33.b1.a1'], 'contains': ['198.a1.a1', '462.b1.a1'], 'core': '66.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [777, 3461, 3624, 3461, 5927, 5501, 3620, 3072], 'generators': [2, 396], 'label': '1386.18.66.b1.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '66.b1.a1', 'normal_contained_in': ['6.b1.a1', '22.a1.a1'], 'normal_contains': ['198.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '66.b1.a1', 'projective_image': '1386.18', 'quotient_action_image': '2.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '66.b1.a1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 74763711
    {'ambient': '1386.18', 'aut_centralizer_order': 30, 'aut_label': '66.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '42.1', 'aut_weyl_index': 60, 'centralizer': '42.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '22.a1.a1'], 'contains': ['198.a1.a1', '462.c1.a1'], 'core': '198.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4391, -1, 2502, -1, 2440, -1, 1843, -1], 'generators': [1124, 396], 'label': '1386.18.66.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '66.c1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.c1.a1', 'subgroup_fusion': None, 'weyl_group': '21.1'}
  • id: 74763712
    {'ambient': '1386.18', 'aut_centralizer_order': 60, 'aut_label': '77.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '6.1', 'aut_weyl_index': 420, 'centralizer': '42.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.a1.a1', '11.a1.a1'], 'contains': ['154.a1.a1', '231.a1.a1', '231.b1.a1'], 'core': '462.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5526, -1, 5341, -1, 9612, -1, 9612, -1], 'generators': [3, 2, 924], 'label': '1386.18.77.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '11.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '77.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '77.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 74763713
    {'ambient': '1386.18', 'aut_centralizer_order': 20, 'aut_label': '99.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '42.1', 'aut_weyl_index': 60, 'centralizer': '126.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.a1', '33.b1.a1'], 'contains': ['198.a1.a1', '693.a1.a1'], 'core': '198.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [993, -1, 2632, -1, 7054, -1, 6457, -1], 'generators': [3, 396], 'label': '1386.18.99.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '33.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '99.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '99.a1.a1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 74763714
    {'ambient': '1386.18', 'aut_centralizer_order': 252, 'aut_label': '126.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 252, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '42.a1.a1', '42.b1.a1', '42.c1.a1', '63.a1.a1'], 'contains': ['1386.a1.a1'], 'core': '126.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8874, 5392, 8662, 5392, 3938, 3845, 4574, 6005], 'generators': [126], 'label': '1386.18.126.a1.a1', 'mobius_quo': -1, 'mobius_sub': 21, 'normal_closure': '126.a1.a1', 'normal_contained_in': ['18.a1.a1', '42.a1.a1'], 'normal_contains': ['1386.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '126.a1.a1', 'projective_image': '126.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '126.9', 'quotient_action_kernel_order': 126, 'quotient_fusion': None, 'short_label': '126.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 74763715
    {'ambient': '1386.18', 'aut_centralizer_order': 180, 'aut_label': '154.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1260, 'centralizer': '14.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.a1.a1', '22.a1.a1', '77.a1.a1'], 'contains': ['462.a1.a1', '462.b1.a1', '462.c1.a1'], 'core': '462.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7178, -1, 6911, -1, 5350, -1, 5363, -1], 'generators': [2, 924], 'label': '1386.18.154.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '22.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '154.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '154.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 74763716
    {'ambient': '1386.18', 'aut_centralizer_order': 420, 'aut_label': '198.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 420, 'centralizer': '6.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '66.a1.a1', '66.b1.a1', '66.c1.a1', '99.a1.a1'], 'contains': ['1386.a1.a1'], 'core': '198.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2721, 3824, 2235, 3824, 4587, 5409, 3944, 4625], 'generators': [396], 'label': '1386.18.198.a1.a1', 'mobius_quo': -1, 'mobius_sub': 3, 'normal_closure': '198.a1.a1', 'normal_contained_in': ['18.a1.a1', '66.a1.a1', '66.b1.a1'], 'normal_contains': ['1386.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '198.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': '6.2', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '198.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 74763717
    {'ambient': '1386.18', 'aut_centralizer_order': 1, 'aut_label': '3.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 1, 'centralizer': '126.a1.a1', 'complements': ['462.b1.a1', '462.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '9.a1.a1', '21.b1.a1', '33.a1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3314, 8318, 4434, 8318, 5549, 6219, 6178, 8507], 'generators': [3, 924, 396, 126], 'label': '1386.18.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '33.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '126.9', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '126.9'}
  • id: 74763718
    {'ambient': '1386.18', 'aut_centralizer_order': 120, 'aut_label': '231.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2520, 'centralizer': '21.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['21.a1.a1', '33.b1.a1', '77.a1.a1'], 'contains': ['462.b1.a1', '693.a1.a1'], 'core': '1386.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3881, -1, 6566, -1, 8008, -1, 7518, -1], 'generators': [3, 2], 'label': '1386.18.231.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '11.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '231.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '231.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 74763719
    {'ambient': '1386.18', 'aut_centralizer_order': 60, 'aut_label': '231.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '6.1', 'aut_weyl_index': 420, 'centralizer': '42.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['21.b1.a1', '33.a1.a1', '77.a1.a1'], 'contains': ['462.a1.a1', '693.a1.a1'], 'core': '462.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5576, -1, 4357, -1, 7531, -1, 7995, -1], 'generators': [3, 924], 'label': '1386.18.231.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '33.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '231.b1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '231.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 74763720
    {'ambient': '1386.18', 'aut_centralizer_order': 1260, 'aut_label': '462.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1260, 'centralizer': '2.a1.a1', 'complements': ['3.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['42.a1.a1', '66.a1.a1', '154.a1.a1', '231.b1.a1'], 'contains': ['1386.a1.a1'], 'core': '462.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6845, 6596, 4357, 6596, 5065, 6734, 5582, 7386], 'generators': [924], 'label': '1386.18.462.a1.a1', 'mobius_quo': -1, 'mobius_sub': 7, 'normal_closure': '462.a1.a1', 'normal_contained_in': ['42.a1.a1', '66.a1.a1'], 'normal_contains': ['1386.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '462.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': '2.1', 'quotient_action_kernel': '231.1', 'quotient_action_kernel_order': 231, 'quotient_fusion': None, 'short_label': '462.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 74763721
    {'ambient': '1386.18', 'aut_centralizer_order': 360, 'aut_label': '462.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2520, 'centralizer': '7.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['42.b1.a1', '66.b1.a1', '154.a1.a1', '231.a1.a1'], 'contains': ['1386.a1.a1'], 'core': '1386.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [6244, -1, 7731, -1, 5542, -1, 5104, -1], 'generators': [2], 'label': '1386.18.462.b1.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '66.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '462.b1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '462.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 74763722
    {'ambient': '1386.18', 'aut_centralizer_order': 180, 'aut_label': '462.c1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2520, 'centralizer': '14.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['42.c1.a1', '66.c1.a1', '154.a1.a1'], 'contains': ['1386.a1.a1'], 'core': '1386.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8122, -1, 7057, -1, 2963, -1, 3016, -1], 'generators': [1124], 'label': '1386.18.462.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.a1.a1', 'old_label': '462.c1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '462.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 74763723
    {'ambient': '1386.18', 'aut_centralizer_order': 120, 'aut_label': '693.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2520, 'centralizer': '21.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['63.a1.a1', '99.a1.a1', '231.a1.a1', '231.b1.a1'], 'contains': ['1386.a1.a1'], 'core': '1386.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [5117, -1, 5435, -1, 7054, -1, 6987, -1], 'generators': [3], 'label': '1386.18.693.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '33.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '693.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '693.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 74763724
    {'ambient': '1386.18', 'aut_centralizer_order': None, 'aut_label': '1386.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': ['126.a1.a1', '198.a1.a1', '462.a1.a1', '462.b1.a1', '462.c1.a1', '693.a1.a1'], 'contains': [], 'core': '1386.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6402, 5392, 5841, 5392, 4826, 5409, 4839, 6005], 'generators': [], 'label': '1386.18.1386.a1.a1', 'mobius_quo': 1, 'mobius_sub': -21, 'normal_closure': '1386.a1.a1', 'normal_contained_in': ['126.a1.a1', '198.a1.a1', '462.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1386.a1.a1', 'projective_image': '1386.18', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1386.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 74763725
    {'ambient': '1386.18', 'aut_centralizer_order': 2, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '420.17', 'aut_weyl_index': 6, 'centralizer': '126.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.b1.a1', '9.a1.a1', '21.a1.a1', '33.b1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1820, -1, 6290, -1, 6722, -1, 5005, -1], 'generators': [3, 126, 396, 2], 'label': '1386.18.3.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': '126.9', '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': '42.1'}
  • id: 74763726
    {'ambient': '1386.18', 'aut_centralizer_order': 21, 'aut_label': '6.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '120.47', 'aut_weyl_index': 21, 'centralizer': '6.a1.a1', 'complements': ['231.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['18.a1.a1', '42.a1.a1', '66.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4641, 7649, 2183, 7649, 1545, 4287, 3938, 6903], 'generators': [924, 126, 396], 'label': '1386.18.6.a1.a1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['18.a1.a1', '42.a1.a1', '66.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '126.9', 'quotient_action_image': '6.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 74763727
    {'ambient': '1386.18', 'aut_centralizer_order': 6, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '420.17', 'aut_weyl_index': 6, 'centralizer': '42.a1.a1', 'complements': ['231.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.b1.a1'], 'contains': ['18.a1.a1', '42.b1.a1', '66.b1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3105, 1682, 6091, 1682, 3593, 1619, 1869, 1519], 'generators': [2, 396, 126], 'label': '1386.18.6.b1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['18.a1.a1', '66.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '126.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 74763728
    {'ambient': '1386.18', 'aut_centralizer_order': 3, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '420.17', 'aut_weyl_index': 6, 'centralizer': '42.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['18.a1.a1', '42.c1.a1', '66.c1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5852, -1, 3434, -1, 583, -1, 583, -1], 'generators': [1124, 396, 126], 'label': '1386.18.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '126.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '21.1'}
  • id: 74763729
    {'ambient': '1386.18', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '60.11', 'aut_weyl_index': 42, 'centralizer': '42.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '21.a1.a1', '21.b1.a1', '77.a1.a1'], 'core': '42.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [6720, -1, 7420, -1, 7796, -1, 8141, -1], 'generators': [3, 126, 924, 2], 'label': '1386.18.7.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '126.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 74763730
    {'ambient': '1386.18', 'aut_centralizer_order': 2, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '420.17', 'aut_weyl_index': 6, 'centralizer': '126.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '3.b1.a1'], 'contains': ['18.a1.a1', '63.a1.a1', '99.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1712, -1, 4434, -1, 5887, -1, 5887, -1], 'generators': [3, 396, 126], 'label': '1386.18.9.a1.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.a1.a1', 'projective_image': '126.9', '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': '42.1'}