Abstract group data - 672.1215

Formats: - HTML - YAML - JSON - 2025-10-05T19:20:46.610172

• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '48.52', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 84, 'aut_gen_orders': [6, 12, 2, 6, 2, 6], 'aut_gens': [[1, 2, 4, 16], [348, 10, 12, 657], [349, 494, 4, 312], [341, 98, 12, 208], [9, 298, 12, 80], [9, 14, 12, 665], [1, 198, 12, 184]], 'aut_group': None, 'aut_hash': 2639570833013882725, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 16128, 'aut_permdeg': 36, 'aut_perms': [21898299595417832621596138263151642502355, 97498758074452295674365658086203575723318, 25988775979939096185887008558969085194666, 1247715535307867939411743865666788575939, 371784803809302685409513940618358218347399, 2668088748022536706176133242491507710404], 'aut_phi_ratio': 84.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 3, 1], [2, 14, 2, 1], [3, 1, 2, 1], [4, 2, 1, 1], [4, 2, 3, 1], [4, 14, 6, 1], [6, 1, 2, 1], [6, 2, 6, 1], [6, 14, 4, 1], [7, 2, 3, 1], [12, 2, 2, 1], [12, 2, 6, 1], [12, 14, 12, 1], [14, 2, 3, 1], [14, 4, 9, 1], [21, 2, 6, 1], [28, 2, 6, 1], [28, 4, 9, 1], [42, 2, 6, 1], [42, 4, 18, 1], [84, 2, 12, 1], [84, 4, 18, 1]], 'aut_supersolvable': False, 'aut_tex': '(C_{14}\\times A_4).C_6.C_2^4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '32.51', 'autcent_hash': 51, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': '504.162', 'autcentquo_hash': 162, 'autcentquo_nilpotent': False, 'autcentquo_order': 504, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_6\\times F_7', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 3], [2, 14, 2], [3, 1, 2], [4, 2, 4], [4, 14, 6], [6, 1, 2], [6, 2, 6], [6, 14, 4], [7, 2, 3], [12, 2, 8], [12, 14, 12], [14, 2, 3], [14, 4, 9], [21, 2, 6], [28, 2, 6], [28, 4, 9], [42, 2, 6], [42, 4, 18], [84, 2, 12], [84, 4, 18]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '112.42', 'commutator_count': 1, 'commutator_label': '14.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '7.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1215, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['224.186', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 3], [2, 14, 1, 2], [3, 1, 2, 1], [4, 2, 1, 4], [4, 14, 1, 6], [6, 1, 2, 1], [6, 2, 2, 3], [6, 14, 2, 2], [7, 2, 3, 1], [12, 2, 2, 4], [12, 14, 2, 6], [14, 2, 3, 1], [14, 4, 3, 3], [21, 2, 6, 1], [28, 2, 6, 1], [28, 4, 3, 3], [42, 2, 6, 1], [42, 4, 6, 3], [84, 2, 12, 1], [84, 4, 6, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3830400, 'exponent': 84, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [[4, 0, 12]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '336.225', 'hash': 1215, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 14, 'inner_gen_orders': [2, 2, 2, 14], 'inner_gens': [[1, 2, 4, 24], [1, 2, 12, 216], [1, 10, 4, 16], [9, 490, 4, 16]], 'inner_hash': 42, 'inner_nilpotent': False, 'inner_order': 112, 'inner_split': True, 'inner_tex': 'C_2^2\\times D_{14}', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 4, 'irrQ_degree': 48, 'irrQ_dim': 48, 'irrR_degree': 8, 'irrep_stats': [[1, 48], [2, 72], [4, 21]], 'label': '672.1215', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C84.C2^3', 'ngens': 7, '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': 24, 'number_characteristic_subgroups': 24, 'number_conjugacy_classes': 141, 'number_divisions': 52, 'number_normal_subgroups': 170, 'number_subgroup_autclasses': 96, 'number_subgroup_classes': 292, 'number_subgroups': 972, 'old_label': None, 'order': 672, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 35], [3, 2], [4, 92], [6, 70], [7, 6], [12, 184], [14, 42], [21, 12], [28, 48], [42, 84], [84, 96]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 6, 6], 'outer_gen_pows': [0, 1, 0, 4], 'outer_gens': [[1, 2, 12, 16], [1, 2, 4, 25], [1, 2, 12, 80], [349, 6, 4, 357]], 'outer_group': '144.195', 'outer_hash': 195, 'outer_nilpotent': False, 'outer_order': 144, 'outer_permdeg': 12, 'outer_perms': [40279680, 127370887, 87096960, 127370911], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_6^2:C_2^2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 26, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2, 3], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 16], [4, 1], [6, 8], [8, 1], [12, 8], [24, 1], [48, 1]], 'representations': {'PC': {'code': 7822003376286584312205625916716835723, 'gens': [1, 2, 3, 5], 'pres': [7, -2, -2, -2, -2, 2, -3, -7, 56, 135, 58, 844, 3791, 102, 8748, 166, 14125]}, 'Perm': {'d': 26, 'gens': [621574835364360055995696, 3079509941209, 4491862056263, 5670066675292, 6758061133824000, 7177442311085, 16754357281155028254720000]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{84}.C_2^3', 'transitive_degree': 336, '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: 139886466
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1215, 'group_order': 672, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 139886519
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 1215, 'group_order': 672, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 8, 'size': 1}
  • id: 139886530
    {'aut_label': '2B', 'centralizer': '2.b1', 'counter': 3, 'group_counter': 1215, 'group_order': 672, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 336, 'size': 2}
  • id: 139886541
    {'aut_label': '2B', 'centralizer': '2.b1', 'counter': 4, 'group_counter': 1215, 'group_order': 672, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 337, 'size': 2}
  • id: 139886552
    {'aut_label': '2B', 'centralizer': '2.b1', 'counter': 5, 'group_counter': 1215, 'group_order': 672, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 5, 'size': 2}
  • id: 139886563
    {'aut_label': '2E', 'centralizer': '14.e1', 'counter': 6, 'group_counter': 1215, 'group_order': 672, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 482, 'size': 14}
  • id: 139886574
    {'aut_label': '2E', 'centralizer': '14.e1', 'counter': 7, 'group_counter': 1215, 'group_order': 672, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 486, 'size': 14}
  • id: 139886585
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 1215, 'group_order': 672, 'label': '3A1', 'order': 3, 'powers': [9, 1, 8], 'representative': 448, 'size': 1}
  • id: 139886596
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 1215, 'group_order': 672, 'label': '3A-1', 'order': 3, 'powers': [8, 1, 9], 'representative': 224, 'size': 1}
  • id: 139886467
    {'aut_label': '4A', 'centralizer': '2.d1', 'counter': 10, 'group_counter': 1215, 'group_order': 672, 'label': '4A', 'order': 4, 'powers': [2, 10, 10], 'representative': 4, 'size': 2}
  • id: 139886478
    {'aut_label': '4B', 'centralizer': '2.a1', 'counter': 11, 'group_counter': 1215, 'group_order': 672, 'label': '4B', 'order': 4, 'powers': [2, 11, 11], 'representative': 340, 'size': 2}
  • id: 139886489
    {'aut_label': '4B', 'centralizer': '2.a1', 'counter': 12, 'group_counter': 1215, 'group_order': 672, 'label': '4C', 'order': 4, 'powers': [2, 12, 12], 'representative': 1, 'size': 2}
  • id: 139886500
    {'aut_label': '4B', 'centralizer': '2.a1', 'counter': 13, 'group_counter': 1215, 'group_order': 672, 'label': '4D', 'order': 4, 'powers': [2, 13, 13], 'representative': 341, 'size': 2}
  • id: 139886511
    {'aut_label': '4E', 'centralizer': '14.d1', 'counter': 14, 'group_counter': 1215, 'group_order': 672, 'label': '4E', 'order': 4, 'powers': [2, 14, 14], 'representative': 250, 'size': 14}
  • id: 139886514
    {'aut_label': '4E', 'centralizer': '14.d1', 'counter': 15, 'group_counter': 1215, 'group_order': 672, 'label': '4F', 'order': 4, 'powers': [2, 15, 15], 'representative': 254, 'size': 14}
  • id: 139886515
    {'aut_label': '4E', 'centralizer': '14.d1', 'counter': 16, 'group_counter': 1215, 'group_order': 672, 'label': '4G', 'order': 4, 'powers': [2, 16, 16], 'representative': 491, 'size': 14}
  • id: 139886516
    {'aut_label': '4E', 'centralizer': '14.d1', 'counter': 17, 'group_counter': 1215, 'group_order': 672, 'label': '4H', 'order': 4, 'powers': [2, 17, 17], 'representative': 251, 'size': 14}
  • id: 139886517
    {'aut_label': '4E', 'centralizer': '14.d1', 'counter': 18, 'group_counter': 1215, 'group_order': 672, 'label': '4I', 'order': 4, 'powers': [2, 18, 18], 'representative': 495, 'size': 14}
  • id: 139886518
    {'aut_label': '4E', 'centralizer': '14.d1', 'counter': 19, 'group_counter': 1215, 'group_order': 672, 'label': '4J', 'order': 4, 'powers': [2, 19, 19], 'representative': 255, 'size': 14}
  • id: 139886520
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 1215, 'group_order': 672, 'label': '6A1', 'order': 6, 'powers': [8, 2, 20], 'representative': 232, 'size': 1}
  • id: 139886521
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 21, 'group_counter': 1215, 'group_order': 672, 'label': '6A-1', 'order': 6, 'powers': [9, 2, 21], 'representative': 456, 'size': 1}
  • id: 139886522
    {'aut_label': '6B1', 'centralizer': '2.b1', 'counter': 22, 'group_counter': 1215, 'group_order': 672, 'label': '6B1', 'order': 6, 'powers': [9, 3, 22], 'representative': 112, 'size': 2}
  • id: 139886523
    {'aut_label': '6B1', 'centralizer': '2.b1', 'counter': 23, 'group_counter': 1215, 'group_order': 672, 'label': '6B-1', 'order': 6, 'powers': [8, 3, 23], 'representative': 560, 'size': 2}
  • id: 139886524
    {'aut_label': '6B1', 'centralizer': '2.b1', 'counter': 24, 'group_counter': 1215, 'group_order': 672, 'label': '6C1', 'order': 6, 'powers': [9, 4, 24], 'representative': 113, 'size': 2}
  • id: 139886525
    {'aut_label': '6B1', 'centralizer': '2.b1', 'counter': 25, 'group_counter': 1215, 'group_order': 672, 'label': '6C-1', 'order': 6, 'powers': [8, 4, 25], 'representative': 561, 'size': 2}
  • id: 139886526
    {'aut_label': '6B1', 'centralizer': '2.b1', 'counter': 26, 'group_counter': 1215, 'group_order': 672, 'label': '6D1', 'order': 6, 'powers': [8, 5, 26], 'representative': 229, 'size': 2}
  • id: 139886527
    {'aut_label': '6B1', 'centralizer': '2.b1', 'counter': 27, 'group_counter': 1215, 'group_order': 672, 'label': '6D-1', 'order': 6, 'powers': [9, 5, 27], 'representative': 453, 'size': 2}
  • id: 139886528
    {'aut_label': '6E1', 'centralizer': '14.e1', 'counter': 28, 'group_counter': 1215, 'group_order': 672, 'label': '6E1', 'order': 6, 'powers': [8, 6, 28], 'representative': 34, 'size': 14}
  • id: 139886529
    {'aut_label': '6E1', 'centralizer': '14.e1', 'counter': 29, 'group_counter': 1215, 'group_order': 672, 'label': '6E-1', 'order': 6, 'powers': [9, 6, 29], 'representative': 66, 'size': 14}
  • id: 139886531
    {'aut_label': '6E1', 'centralizer': '14.e1', 'counter': 30, 'group_counter': 1215, 'group_order': 672, 'label': '6F1', 'order': 6, 'powers': [8, 7, 30], 'representative': 38, 'size': 14}
  • id: 139886532
    {'aut_label': '6E1', 'centralizer': '14.e1', 'counter': 31, 'group_counter': 1215, 'group_order': 672, 'label': '6F-1', 'order': 6, 'powers': [9, 7, 31], 'representative': 70, 'size': 14}
  • id: 139886533
    {'aut_label': '7A1', 'centralizer': '2.d1', 'counter': 32, 'group_counter': 1215, 'group_order': 672, 'label': '7A1', 'order': 7, 'powers': [33, 34, 1], 'representative': 96, 'size': 2}
  • id: 139886534
    {'aut_label': '7A1', 'centralizer': '2.d1', 'counter': 33, 'group_counter': 1215, 'group_order': 672, 'label': '7A2', 'order': 7, 'powers': [34, 32, 1], 'representative': 192, 'size': 2}
  • id: 139886535
    {'aut_label': '7A1', 'centralizer': '2.d1', 'counter': 34, 'group_counter': 1215, 'group_order': 672, 'label': '7A3', 'order': 7, 'powers': [32, 33, 1], 'representative': 288, 'size': 2}
  • id: 139886536
    {'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 35, 'group_counter': 1215, 'group_order': 672, 'label': '12A1', 'order': 12, 'powers': [21, 10, 35], 'representative': 236, 'size': 2}
  • id: 139886537
    {'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 36, 'group_counter': 1215, 'group_order': 672, 'label': '12A-1', 'order': 12, 'powers': [20, 10, 36], 'representative': 452, 'size': 2}
  • id: 139886538
    {'aut_label': '12B1', 'centralizer': '2.a1', 'counter': 37, 'group_counter': 1215, 'group_order': 672, 'label': '12B1', 'order': 12, 'powers': [20, 11, 37], 'representative': 124, 'size': 2}
  • id: 139886539
    {'aut_label': '12B1', 'centralizer': '2.a1', 'counter': 38, 'group_counter': 1215, 'group_order': 672, 'label': '12B-1', 'order': 12, 'powers': [21, 11, 38], 'representative': 564, 'size': 2}
  • id: 139886540
    {'aut_label': '12B1', 'centralizer': '2.a1', 'counter': 39, 'group_counter': 1215, 'group_order': 672, 'label': '12C1', 'order': 12, 'powers': [21, 12, 39], 'representative': 233, 'size': 2}
  • id: 139886542
    {'aut_label': '12B1', 'centralizer': '2.a1', 'counter': 40, 'group_counter': 1215, 'group_order': 672, 'label': '12C-1', 'order': 12, 'powers': [20, 12, 40], 'representative': 449, 'size': 2}
  • id: 139886543
    {'aut_label': '12B1', 'centralizer': '2.a1', 'counter': 41, 'group_counter': 1215, 'group_order': 672, 'label': '12D1', 'order': 12, 'powers': [20, 13, 41], 'representative': 125, 'size': 2}
  • id: 139886544
    {'aut_label': '12B1', 'centralizer': '2.a1', 'counter': 42, 'group_counter': 1215, 'group_order': 672, 'label': '12D-1', 'order': 12, 'powers': [21, 13, 42], 'representative': 565, 'size': 2}
  • id: 139886545
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 43, 'group_counter': 1215, 'group_order': 672, 'label': '12E1', 'order': 12, 'powers': [20, 14, 43], 'representative': 18, 'size': 14}
  • id: 139886546
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 44, 'group_counter': 1215, 'group_order': 672, 'label': '12E-1', 'order': 12, 'powers': [21, 14, 44], 'representative': 82, 'size': 14}
  • id: 139886547
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 45, 'group_counter': 1215, 'group_order': 672, 'label': '12F1', 'order': 12, 'powers': [20, 15, 45], 'representative': 22, 'size': 14}
  • id: 139886548
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 46, 'group_counter': 1215, 'group_order': 672, 'label': '12F-1', 'order': 12, 'powers': [21, 15, 46], 'representative': 86, 'size': 14}
  • id: 139886549
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 47, 'group_counter': 1215, 'group_order': 672, 'label': '12G1', 'order': 12, 'powers': [21, 16, 47], 'representative': 35, 'size': 14}
  • id: 139886550
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 48, 'group_counter': 1215, 'group_order': 672, 'label': '12G-1', 'order': 12, 'powers': [20, 16, 48], 'representative': 67, 'size': 14}
  • id: 139886551
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 49, 'group_counter': 1215, 'group_order': 672, 'label': '12H1', 'order': 12, 'powers': [20, 17, 49], 'representative': 19, 'size': 14}
  • id: 139886553
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 50, 'group_counter': 1215, 'group_order': 672, 'label': '12H-1', 'order': 12, 'powers': [21, 17, 50], 'representative': 83, 'size': 14}
  • id: 139886554
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 51, 'group_counter': 1215, 'group_order': 672, 'label': '12I1', 'order': 12, 'powers': [21, 18, 51], 'representative': 39, 'size': 14}
  • id: 139886555
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 52, 'group_counter': 1215, 'group_order': 672, 'label': '12I-1', 'order': 12, 'powers': [20, 18, 52], 'representative': 71, 'size': 14}
  • id: 139886556
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 53, 'group_counter': 1215, 'group_order': 672, 'label': '12J1', 'order': 12, 'powers': [20, 19, 53], 'representative': 23, 'size': 14}
  • id: 139886557
    {'aut_label': '12E1', 'centralizer': '14.d1', 'counter': 54, 'group_counter': 1215, 'group_order': 672, 'label': '12J-1', 'order': 12, 'powers': [21, 19, 54], 'representative': 87, 'size': 14}
  • id: 139886558
    {'aut_label': '14A1', 'centralizer': '2.d1', 'counter': 55, 'group_counter': 1215, 'group_order': 672, 'label': '14A1', 'order': 14, 'powers': [34, 56, 2], 'representative': 200, 'size': 2}
  • id: 139886559
    {'aut_label': '14A1', 'centralizer': '2.d1', 'counter': 56, 'group_counter': 1215, 'group_order': 672, 'label': '14A3', 'order': 14, 'powers': [33, 57, 2], 'representative': 584, 'size': 2}
  • id: 139886560
    {'aut_label': '14A1', 'centralizer': '2.d1', 'counter': 57, 'group_counter': 1215, 'group_order': 672, 'label': '14A5', 'order': 14, 'powers': [32, 55, 2], 'representative': 296, 'size': 2}
  • id: 139886561
    {'aut_label': '14B1', 'centralizer': '4.b1', 'counter': 58, 'group_counter': 1215, 'group_order': 672, 'label': '14B1', 'order': 14, 'powers': [32, 59, 3], 'representative': 48, 'size': 4}
  • id: 139886562
    {'aut_label': '14B1', 'centralizer': '4.b1', 'counter': 59, 'group_counter': 1215, 'group_order': 672, 'label': '14B3', 'order': 14, 'powers': [34, 60, 3], 'representative': 144, 'size': 4}
  • id: 139886564
    {'aut_label': '14B1', 'centralizer': '4.b1', 'counter': 60, 'group_counter': 1215, 'group_order': 672, 'label': '14B5', 'order': 14, 'powers': [33, 58, 3], 'representative': 240, 'size': 4}
  • id: 139886565
    {'aut_label': '14B1', 'centralizer': '4.b1', 'counter': 61, 'group_counter': 1215, 'group_order': 672, 'label': '14C1', 'order': 14, 'powers': [32, 62, 4], 'representative': 49, 'size': 4}
  • id: 139886566
    {'aut_label': '14B1', 'centralizer': '4.b1', 'counter': 62, 'group_counter': 1215, 'group_order': 672, 'label': '14C3', 'order': 14, 'powers': [34, 63, 4], 'representative': 145, 'size': 4}
  • id: 139886567
    {'aut_label': '14B1', 'centralizer': '4.b1', 'counter': 63, 'group_counter': 1215, 'group_order': 672, 'label': '14C5', 'order': 14, 'powers': [33, 61, 4], 'representative': 241, 'size': 4}
  • id: 139886568
    {'aut_label': '14B1', 'centralizer': '4.b1', 'counter': 64, 'group_counter': 1215, 'group_order': 672, 'label': '14D1', 'order': 14, 'powers': [33, 65, 5], 'representative': 101, 'size': 4}
  • id: 139886569
    {'aut_label': '14B1', 'centralizer': '4.b1', 'counter': 65, 'group_counter': 1215, 'group_order': 672, 'label': '14D3', 'order': 14, 'powers': [32, 66, 5], 'representative': 293, 'size': 4}
  • id: 139886570
    {'aut_label': '14B1', 'centralizer': '4.b1', 'counter': 66, 'group_counter': 1215, 'group_order': 672, 'label': '14D5', 'order': 14, 'powers': [34, 64, 5], 'representative': 485, 'size': 4}
  • id: 139886571
    {'aut_label': '21A1', 'centralizer': '2.d1', 'counter': 67, 'group_counter': 1215, 'group_order': 672, 'label': '21A1', 'order': 21, 'powers': [69, 32, 9], 'representative': 32, 'size': 2}
  • id: 139886572
    {'aut_label': '21A1', 'centralizer': '2.d1', 'counter': 68, 'group_counter': 1215, 'group_order': 672, 'label': '21A-1', 'order': 21, 'powers': [70, 32, 8], 'representative': 640, 'size': 2}
  • id: 139886573
    {'aut_label': '21A1', 'centralizer': '2.d1', 'counter': 69, 'group_counter': 1215, 'group_order': 672, 'label': '21A2', 'order': 21, 'powers': [71, 33, 8], 'representative': 64, 'size': 2}
  • id: 139886575
    {'aut_label': '21A1', 'centralizer': '2.d1', 'counter': 70, 'group_counter': 1215, 'group_order': 672, 'label': '21A-2', 'order': 21, 'powers': [72, 33, 9], 'representative': 608, 'size': 2}
  • id: 139886576
    {'aut_label': '21A1', 'centralizer': '2.d1', 'counter': 71, 'group_counter': 1215, 'group_order': 672, 'label': '21A4', 'order': 21, 'powers': [68, 34, 9], 'representative': 128, 'size': 2}
  • id: 139886577
    {'aut_label': '21A1', 'centralizer': '2.d1', 'counter': 72, 'group_counter': 1215, 'group_order': 672, 'label': '21A-4', 'order': 21, 'powers': [67, 34, 8], 'representative': 544, 'size': 2}
  • id: 139886578
    {'aut_label': '28A1', 'centralizer': '2.d1', 'counter': 73, 'group_counter': 1215, 'group_order': 672, 'label': '28A1', 'order': 28, 'powers': [55, 74, 10], 'representative': 108, 'size': 2}
  • id: 139886579
    {'aut_label': '28A1', 'centralizer': '2.d1', 'counter': 74, 'group_counter': 1215, 'group_order': 672, 'label': '28A3', 'order': 28, 'powers': [56, 76, 10], 'representative': 292, 'size': 2}
  • id: 139886580
    {'aut_label': '28A1', 'centralizer': '2.d1', 'counter': 75, 'group_counter': 1215, 'group_order': 672, 'label': '28A5', 'order': 28, 'powers': [57, 78, 10], 'representative': 492, 'size': 2}
  • id: 139886581
    {'aut_label': '28A1', 'centralizer': '2.d1', 'counter': 76, 'group_counter': 1215, 'group_order': 672, 'label': '28A9', 'order': 28, 'powers': [57, 73, 10], 'representative': 204, 'size': 2}
  • id: 139886582
    {'aut_label': '28A1', 'centralizer': '2.d1', 'counter': 77, 'group_counter': 1215, 'group_order': 672, 'label': '28A11', 'order': 28, 'powers': [56, 75, 10], 'representative': 388, 'size': 2}
  • id: 139886583
    {'aut_label': '28A1', 'centralizer': '2.d1', 'counter': 78, 'group_counter': 1215, 'group_order': 672, 'label': '28A13', 'order': 28, 'powers': [55, 77, 10], 'representative': 588, 'size': 2}
  • id: 139886584
    {'aut_label': '28B1', 'centralizer': '4.b1', 'counter': 79, 'group_counter': 1215, 'group_order': 672, 'label': '28B1', 'order': 28, 'powers': [56, 80, 11], 'representative': 60, 'size': 4}
  • id: 139886586
    {'aut_label': '28B1', 'centralizer': '4.b1', 'counter': 80, 'group_counter': 1215, 'group_order': 672, 'label': '28B3', 'order': 28, 'powers': [57, 81, 11], 'representative': 148, 'size': 4}
  • id: 139886587
    {'aut_label': '28B1', 'centralizer': '4.b1', 'counter': 81, 'group_counter': 1215, 'group_order': 672, 'label': '28B5', 'order': 28, 'powers': [55, 79, 11], 'representative': 252, 'size': 4}
  • id: 139886588
    {'aut_label': '28B1', 'centralizer': '4.b1', 'counter': 82, 'group_counter': 1215, 'group_order': 672, 'label': '28C1', 'order': 28, 'powers': [55, 83, 12], 'representative': 105, 'size': 4}
  • id: 139886589
    {'aut_label': '28B1', 'centralizer': '4.b1', 'counter': 83, 'group_counter': 1215, 'group_order': 672, 'label': '28C3', 'order': 28, 'powers': [56, 84, 12], 'representative': 289, 'size': 4}
  • id: 139886590
    {'aut_label': '28B1', 'centralizer': '4.b1', 'counter': 84, 'group_counter': 1215, 'group_order': 672, 'label': '28C5', 'order': 28, 'powers': [57, 82, 12], 'representative': 489, 'size': 4}
  • id: 139886591
    {'aut_label': '28B1', 'centralizer': '4.b1', 'counter': 85, 'group_counter': 1215, 'group_order': 672, 'label': '28D1', 'order': 28, 'powers': [56, 86, 13], 'representative': 61, 'size': 4}
  • id: 139886592
    {'aut_label': '28B1', 'centralizer': '4.b1', 'counter': 86, 'group_counter': 1215, 'group_order': 672, 'label': '28D3', 'order': 28, 'powers': [57, 87, 13], 'representative': 149, 'size': 4}
  • id: 139886593
    {'aut_label': '28B1', 'centralizer': '4.b1', 'counter': 87, 'group_counter': 1215, 'group_order': 672, 'label': '28D5', 'order': 28, 'powers': [55, 85, 13], 'representative': 253, 'size': 4}
  • id: 139886594
    {'aut_label': '42A1', 'centralizer': '2.d1', 'counter': 88, 'group_counter': 1215, 'group_order': 672, 'label': '42A1', 'order': 42, 'powers': [71, 55, 21], 'representative': 72, 'size': 2}
  • id: 139886595
    {'aut_label': '42A1', 'centralizer': '2.d1', 'counter': 89, 'group_counter': 1215, 'group_order': 672, 'label': '42A-1', 'order': 42, 'powers': [72, 55, 20], 'representative': 616, 'size': 2}
  • id: 139886597
    {'aut_label': '42A1', 'centralizer': '2.d1', 'counter': 90, 'group_counter': 1215, 'group_order': 672, 'label': '42A5', 'order': 42, 'powers': [68, 57, 20], 'representative': 328, 'size': 2}
  • id: 139886598
    {'aut_label': '42A1', 'centralizer': '2.d1', 'counter': 91, 'group_counter': 1215, 'group_order': 672, 'label': '42A-5', 'order': 42, 'powers': [67, 57, 21], 'representative': 360, 'size': 2}
  • id: 139886599
    {'aut_label': '42A1', 'centralizer': '2.d1', 'counter': 92, 'group_counter': 1215, 'group_order': 672, 'label': '42A11', 'order': 42, 'powers': [69, 56, 20], 'representative': 40, 'size': 2}
  • id: 139886600
    {'aut_label': '42A1', 'centralizer': '2.d1', 'counter': 93, 'group_counter': 1215, 'group_order': 672, 'label': '42A-11', 'order': 42, 'powers': [70, 56, 21], 'representative': 648, 'size': 2}
  • id: 139886601
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 94, 'group_counter': 1215, 'group_order': 672, 'label': '42B1', 'order': 42, 'powers': [67, 58, 22], 'representative': 16, 'size': 4}
  • id: 139886602
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 95, 'group_counter': 1215, 'group_order': 672, 'label': '42B-1', 'order': 42, 'powers': [68, 58, 23], 'representative': 464, 'size': 4}
  • id: 139886603
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 96, 'group_counter': 1215, 'group_order': 672, 'label': '42B5', 'order': 42, 'powers': [69, 60, 23], 'representative': 80, 'size': 4}
  • id: 139886604
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 97, 'group_counter': 1215, 'group_order': 672, 'label': '42B-5', 'order': 42, 'powers': [70, 60, 22], 'representative': 304, 'size': 4}
  • id: 139886605
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 98, 'group_counter': 1215, 'group_order': 672, 'label': '42B11', 'order': 42, 'powers': [72, 59, 23], 'representative': 176, 'size': 4}
  • id: 139886606
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 99, 'group_counter': 1215, 'group_order': 672, 'label': '42B-11', 'order': 42, 'powers': [71, 59, 22], 'representative': 400, 'size': 4}
  • id: 139886468
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 100, 'group_counter': 1215, 'group_order': 672, 'label': '42C1', 'order': 42, 'powers': [67, 61, 24], 'representative': 17, 'size': 4}
  • id: 139886469
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 101, 'group_counter': 1215, 'group_order': 672, 'label': '42C-1', 'order': 42, 'powers': [68, 61, 25], 'representative': 465, 'size': 4}
  • id: 139886470
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 102, 'group_counter': 1215, 'group_order': 672, 'label': '42C5', 'order': 42, 'powers': [69, 63, 25], 'representative': 81, 'size': 4}
  • id: 139886471
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 103, 'group_counter': 1215, 'group_order': 672, 'label': '42C-5', 'order': 42, 'powers': [70, 63, 24], 'representative': 305, 'size': 4}
  • id: 139886472
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 104, 'group_counter': 1215, 'group_order': 672, 'label': '42C11', 'order': 42, 'powers': [72, 62, 25], 'representative': 177, 'size': 4}
  • id: 139886473
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 105, 'group_counter': 1215, 'group_order': 672, 'label': '42C-11', 'order': 42, 'powers': [71, 62, 24], 'representative': 401, 'size': 4}
  • id: 139886474
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 106, 'group_counter': 1215, 'group_order': 672, 'label': '42D1', 'order': 42, 'powers': [69, 64, 26], 'representative': 37, 'size': 4}
  • id: 139886475
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 107, 'group_counter': 1215, 'group_order': 672, 'label': '42D-1', 'order': 42, 'powers': [70, 64, 27], 'representative': 261, 'size': 4}
  • id: 139886476
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 108, 'group_counter': 1215, 'group_order': 672, 'label': '42D5', 'order': 42, 'powers': [71, 66, 27], 'representative': 69, 'size': 4}
  • id: 139886477
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 109, 'group_counter': 1215, 'group_order': 672, 'label': '42D-5', 'order': 42, 'powers': [72, 66, 26], 'representative': 517, 'size': 4}
  • id: 139886479
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 110, 'group_counter': 1215, 'group_order': 672, 'label': '42D11', 'order': 42, 'powers': [67, 65, 27], 'representative': 357, 'size': 4}
  • id: 139886480
    {'aut_label': '42B1', 'centralizer': '4.b1', 'counter': 111, 'group_counter': 1215, 'group_order': 672, 'label': '42D-11', 'order': 42, 'powers': [68, 65, 26], 'representative': 133, 'size': 4}
  • id: 139886481
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 112, 'group_counter': 1215, 'group_order': 672, 'label': '84A1', 'order': 84, 'powers': [88, 73, 35], 'representative': 36, 'size': 2}
  • id: 139886482
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 113, 'group_counter': 1215, 'group_order': 672, 'label': '84A-1', 'order': 84, 'powers': [89, 73, 36], 'representative': 260, 'size': 2}
  • id: 139886483
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 114, 'group_counter': 1215, 'group_order': 672, 'label': '84A5', 'order': 84, 'powers': [90, 75, 36], 'representative': 164, 'size': 2}
  • id: 139886484
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 115, 'group_counter': 1215, 'group_order': 672, 'label': '84A-5', 'order': 84, 'powers': [91, 75, 35], 'representative': 612, 'size': 2}
  • id: 139886485
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 116, 'group_counter': 1215, 'group_order': 672, 'label': '84A11', 'order': 84, 'powers': [92, 77, 36], 'representative': 548, 'size': 2}
  • id: 139886486
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 117, 'group_counter': 1215, 'group_order': 672, 'label': '84A-11', 'order': 84, 'powers': [93, 77, 35], 'representative': 324, 'size': 2}
  • id: 139886487
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 118, 'group_counter': 1215, 'group_order': 672, 'label': '84A13', 'order': 84, 'powers': [88, 78, 35], 'representative': 44, 'size': 2}
  • id: 139886488
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 119, 'group_counter': 1215, 'group_order': 672, 'label': '84A-13', 'order': 84, 'powers': [89, 78, 36], 'representative': 644, 'size': 2}
  • id: 139886490
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 120, 'group_counter': 1215, 'group_order': 672, 'label': '84A19', 'order': 84, 'powers': [91, 76, 35], 'representative': 516, 'size': 2}
  • id: 139886491
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 121, 'group_counter': 1215, 'group_order': 672, 'label': '84A-19', 'order': 84, 'powers': [90, 76, 36], 'representative': 68, 'size': 2}
  • id: 139886492
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 122, 'group_counter': 1215, 'group_order': 672, 'label': '84A25', 'order': 84, 'powers': [93, 74, 35], 'representative': 132, 'size': 2}
  • id: 139886493
    {'aut_label': '84A1', 'centralizer': '2.d1', 'counter': 123, 'group_counter': 1215, 'group_order': 672, 'label': '84A-25', 'order': 84, 'powers': [92, 74, 36], 'representative': 356, 'size': 2}
  • id: 139886494
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 124, 'group_counter': 1215, 'group_order': 672, 'label': '84B1', 'order': 84, 'powers': [92, 79, 37], 'representative': 20, 'size': 4}
  • id: 139886495
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 125, 'group_counter': 1215, 'group_order': 672, 'label': '84B-1', 'order': 84, 'powers': [93, 79, 38], 'representative': 468, 'size': 4}
  • id: 139886496
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 126, 'group_counter': 1215, 'group_order': 672, 'label': '84B5', 'order': 84, 'powers': [88, 81, 38], 'representative': 84, 'size': 4}
  • id: 139886497
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 127, 'group_counter': 1215, 'group_order': 672, 'label': '84B-5', 'order': 84, 'powers': [89, 81, 37], 'representative': 308, 'size': 4}
  • id: 139886498
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 128, 'group_counter': 1215, 'group_order': 672, 'label': '84B11', 'order': 84, 'powers': [91, 80, 38], 'representative': 180, 'size': 4}
  • id: 139886499
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 129, 'group_counter': 1215, 'group_order': 672, 'label': '84B-11', 'order': 84, 'powers': [90, 80, 37], 'representative': 404, 'size': 4}
  • id: 139886501
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 130, 'group_counter': 1215, 'group_order': 672, 'label': '84C1', 'order': 84, 'powers': [88, 82, 39], 'representative': 33, 'size': 4}
  • id: 139886502
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 131, 'group_counter': 1215, 'group_order': 672, 'label': '84C-1', 'order': 84, 'powers': [89, 82, 40], 'representative': 257, 'size': 4}
  • id: 139886503
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 132, 'group_counter': 1215, 'group_order': 672, 'label': '84C5', 'order': 84, 'powers': [90, 84, 40], 'representative': 65, 'size': 4}
  • id: 139886504
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 133, 'group_counter': 1215, 'group_order': 672, 'label': '84C-5', 'order': 84, 'powers': [91, 84, 39], 'representative': 513, 'size': 4}
  • id: 139886505
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 134, 'group_counter': 1215, 'group_order': 672, 'label': '84C11', 'order': 84, 'powers': [92, 83, 40], 'representative': 353, 'size': 4}
  • id: 139886506
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 135, 'group_counter': 1215, 'group_order': 672, 'label': '84C-11', 'order': 84, 'powers': [93, 83, 39], 'representative': 129, 'size': 4}
  • id: 139886507
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 136, 'group_counter': 1215, 'group_order': 672, 'label': '84D1', 'order': 84, 'powers': [92, 85, 41], 'representative': 21, 'size': 4}
  • id: 139886508
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 137, 'group_counter': 1215, 'group_order': 672, 'label': '84D-1', 'order': 84, 'powers': [93, 85, 42], 'representative': 469, 'size': 4}
  • id: 139886509
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 138, 'group_counter': 1215, 'group_order': 672, 'label': '84D5', 'order': 84, 'powers': [88, 87, 42], 'representative': 85, 'size': 4}
  • id: 139886510
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 139, 'group_counter': 1215, 'group_order': 672, 'label': '84D-5', 'order': 84, 'powers': [89, 87, 41], 'representative': 309, 'size': 4}
  • id: 139886512
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 140, 'group_counter': 1215, 'group_order': 672, 'label': '84D11', 'order': 84, 'powers': [91, 86, 42], 'representative': 181, 'size': 4}
  • id: 139886513
    {'aut_label': '84B1', 'centralizer': '4.b1', 'counter': 141, 'group_counter': 1215, 'group_order': 672, 'label': '84D-11', 'order': 84, 'powers': [90, 86, 41], 'representative': 405, 'size': 4}
• gps_qchar •

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

  
  
  • id: 12800266
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12800277
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12800288
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12800299
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 12800310
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 12800314
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 12800315
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 12800316
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12800317
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1i', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12800267
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1j', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12800268
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1k', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12800269
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1l', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 12800270
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1m', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 12800271
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1n', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 12800272
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1o', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 12800273
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1p', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12800274
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1q', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 12800275
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, -2, 2, -1, -1, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 12800276
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, -2, -1, -1, 2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 12800278
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, -1, -1, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 12800279
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1u', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 2, 2, -1, -1, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 12800280
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1v', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, -1, -1, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 12800281
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1w', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, 2, -1, -1, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 12800282
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1x', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 2, -2, 2, -1, -1, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 12800283
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1y', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 2, 2, -2, -1, -1, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 12800284
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1z', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, -2, -2, -1, -1, -2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 12800285
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1aa', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 2, 2, -1, -1, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 12800286
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1ab', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 2, -1, -1, 2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 12800287
    {'cdim': 1, 'counter': 29, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1ac', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, 2, -2, -1, -1, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 12800289
    {'cdim': 1, 'counter': 30, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1ad', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, -1, -1, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 12800290
    {'cdim': 1, 'counter': 31, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1ae', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 2, -2, -1, -1, -2, -2, -2, 2, 2, -2, -2, 2, -2, 2, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 12800291
    {'cdim': 1, 'counter': 32, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.1af', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -2, -2, -1, -1, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 12800309
    {'cdim': 4, 'counter': 49, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.4a', 'multiplicity': 1, 'nt': [16, 20], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 12800292
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2a', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, -1, -1, -1, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12800293
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2b', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, -6, 0, 0, 6, 6, 6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, -1, -1, -1, 6, -6, 6, 6, 6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12800294
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2c', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 6, 0, 0, 6, 6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6, -6, -6, 6, 6, 0, 0, 0, 0, -1, -1, -1, -6, 6, -6, 6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 12800295
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2d', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, 6, -6, 0, 0, 6, 6, 6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6, 6, 6, -6, -6, 0, 0, 0, 0, -1, -1, -1, -6, 6, -6, -6, 6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 12800296
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2e', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, 6, 6, 0, 0, 6, 6, -6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6, 6, 6, 6, 6, 0, 0, 0, 0, -1, -1, -1, 6, -6, 6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12800297
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2f', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, -6, -6, 0, 0, 6, 6, -6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, -1, -1, -1, 6, 6, 6, -6, -6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12800298
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2g', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, -6, 6, 0, 0, 6, 6, 6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, -6, -6, 6, 6, 0, 0, 0, 0, -1, -1, -1, -6, -6, -6, -6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 12800300
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2h', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -6, 0, 0, 6, 6, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, -6, -6, 0, 0, 0, 0, -1, -1, -1, -6, -6, -6, 6, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 12800311
    {'cdim': 4, 'counter': 50, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.4b', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12800301
    {'cdim': 2, 'counter': 41, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2i', 'multiplicity': 6, 'nt': [21, 3], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 0, 0, -6, -6, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, -2, -2, -2, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, -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], 'schur_index': 1}
  • id: 12800302
    {'cdim': 2, 'counter': 42, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2j', 'multiplicity': 6, 'nt': [42, 9], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -12, 0, 0, -6, -6, 12, 12, -12, 12, 0, 0, 0, 0, 0, 0, -6, -6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, -2, -2, -2, -6, 6, -6, -6, -6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 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], 'schur_index': 1}
  • id: 12800303
    {'cdim': 2, 'counter': 43, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2k', 'multiplicity': 6, 'nt': [42, 9], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, 0, 0, -6, -6, -12, -12, 12, 12, 0, 0, 0, 0, 0, 0, -6, -6, 6, 6, 6, 6, -6, -6, 0, 0, 0, 0, -2, -2, -2, 6, -6, 6, -6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, 1, 1, 1, 1, 1, 1, -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], 'schur_index': 1}
  • id: 12800304
    {'cdim': 2, 'counter': 44, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2l', 'multiplicity': 6, 'nt': [42, 9], 'qdim': 12, 'qvalues': [12, 12, -12, 12, -12, 0, 0, -6, -6, 12, -12, 12, -12, 0, 0, 0, 0, 0, 0, -6, -6, 6, 6, -6, -6, 6, 6, 0, 0, 0, 0, -2, -2, -2, 6, -6, 6, 6, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 1, 1, 1, 1, 1, 1, -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], 'schur_index': 1}
  • id: 12800305
    {'cdim': 2, 'counter': 45, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2m', 'multiplicity': 6, 'nt': [42, 9], 'qdim': 12, 'qvalues': [12, 12, -12, 12, 12, 0, 0, -6, -6, -12, 12, -12, -12, 0, 0, 0, 0, 0, 0, -6, -6, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, -2, -2, -2, -6, 6, -6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 1, 1, 1, 1, 1, 1, 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], 'schur_index': 1}
  • id: 12800306
    {'cdim': 2, 'counter': 46, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2n', 'multiplicity': 6, 'nt': [42, 9], 'qdim': 12, 'qvalues': [12, 12, 12, -12, -12, 0, 0, -6, -6, -12, 12, 12, -12, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, 6, 6, 6, 6, 0, 0, 0, 0, -2, -2, -2, -6, -6, -6, 6, 6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 1, 1, 1, 1, 1, 1, -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], 'schur_index': 1}
  • id: 12800307
    {'cdim': 2, 'counter': 47, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2o', 'multiplicity': 6, 'nt': [42, 9], 'qdim': 12, 'qvalues': [12, 12, 12, -12, 12, 0, 0, -6, -6, 12, -12, -12, -12, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, 6, 6, -6, -6, 0, 0, 0, 0, -2, -2, -2, 6, 6, 6, 6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 1, 1, 1, 1, 1, 1, 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], 'schur_index': 1}
  • id: 12800308
    {'cdim': 2, 'counter': 48, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.2p', 'multiplicity': 6, 'nt': [42, 9], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, 0, 0, -6, -6, -12, -12, -12, 12, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, 6, 6, 0, 0, 0, 0, -2, -2, -2, 6, 6, 6, -6, 6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 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], 'schur_index': 1}
  • id: 12800312
    {'cdim': 4, 'counter': 51, 'faithful': False, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.4c', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, -24, 0, 0, 0, 0, 0, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 12800313
    {'cdim': 4, 'counter': 52, 'faithful': True, 'group': '672.1215', 'group_order': 672, 'image': None, 'label': '672.1215.4d', 'multiplicity': 12, 'nt': [336, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 0, 0, 0, 0, -24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], '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: 29604830
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 672, 'label': '672.1215.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29604902
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 37, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 112, 'label': '672.1215.1aa1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 29604903
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 38, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 112, 'label': '672.1215.1aa2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 29604904
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 39, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1ab1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 29604906
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 40, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1ab2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 29604907
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 41, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1ac1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 29604908
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 42, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1ac2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 29604909
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 43, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1ad1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 29604910
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 44, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1ad2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 29604911
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 45, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1ae1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 29604912
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 46, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1ae2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 29604913
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 47, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 112, 'label': '672.1215.1af1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 29604914
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 48, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 112, 'label': '672.1215.1af2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 29604883
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 336, 'label': '672.1215.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29604894
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 336, 'label': '672.1215.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29604905
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 336, 'label': '672.1215.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29604916
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 336, 'label': '672.1215.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29604927
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 336, 'label': '672.1215.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29604938
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 336, 'label': '672.1215.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29604949
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 336, 'label': '672.1215.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29604960
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 336, 'label': '672.1215.1i', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29604831
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 10, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 336, 'label': '672.1215.1j', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29604842
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 11, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 336, 'label': '672.1215.1k', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29604853
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 12, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 336, 'label': '672.1215.1l', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29604864
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 13, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 336, 'label': '672.1215.1m', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29604875
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 336, 'label': '672.1215.1n', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29604878
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 336, 'label': '672.1215.1o', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29604879
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 336, 'label': '672.1215.1p', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29604880
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 17, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 224, 'label': '672.1215.1q1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 29604881
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 18, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 224, 'label': '672.1215.1q2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 29604882
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 19, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 112, 'label': '672.1215.1r1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 29604884
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 20, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 112, 'label': '672.1215.1r2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 29604885
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 21, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 112, 'label': '672.1215.1s1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 29604886
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 22, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 112, 'label': '672.1215.1s2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 29604887
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 23, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 112, 'label': '672.1215.1t1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 29604888
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 24, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 112, 'label': '672.1215.1t2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 29604889
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 25, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 112, 'label': '672.1215.1u1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 29604890
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 26, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 112, 'label': '672.1215.1u2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 29604891
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 27, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 112, 'label': '672.1215.1v1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 29604892
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 28, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 112, 'label': '672.1215.1v2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 29604893
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 29, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 112, 'label': '672.1215.1w1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 29604895
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 30, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 112, 'label': '672.1215.1w2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 29604896
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 31, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1x1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 29604897
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 32, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1x2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 29604898
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 33, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1y1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 29604899
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 34, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 112, 'label': '672.1215.1y2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 29604900
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 35, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 112, 'label': '672.1215.1z1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 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, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 29604901
    {'center': '1.a1', 'center_index': 1, 'center_order': 672, 'counter': 36, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 112, 'label': '672.1215.1z2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -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, -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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 29604915
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 49, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1', 'kernel_order': 48, 'label': '672.1215.2a1', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29604917
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 50, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1', 'kernel_order': 48, 'label': '672.1215.2a2', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29604918
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 51, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1', 'kernel_order': 48, 'label': '672.1215.2a3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29604919
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 52, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 24, 'label': '672.1215.2b1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29604920
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 53, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 24, 'label': '672.1215.2b2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29604921
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 54, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 24, 'label': '672.1215.2b3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29604922
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 55, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 24, 'label': '672.1215.2c1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29604923
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 56, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 24, 'label': '672.1215.2c2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29604924
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 57, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 24, 'label': '672.1215.2c3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29604925
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 58, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 24, 'label': '672.1215.2d1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29604926
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 59, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 24, 'label': '672.1215.2d2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29604928
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 60, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 24, 'label': '672.1215.2d3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29604929
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 61, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 24, 'label': '672.1215.2e1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29604930
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 62, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 24, 'label': '672.1215.2e2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29604931
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 63, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 24, 'label': '672.1215.2e3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29604932
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 64, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 24, 'label': '672.1215.2f1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29604933
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 65, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 24, 'label': '672.1215.2f2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29604934
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 66, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 24, 'label': '672.1215.2f3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29604935
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 67, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 24, 'label': '672.1215.2g1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29604936
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 68, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 24, 'label': '672.1215.2g2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29604937
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 69, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 24, 'label': '672.1215.2g3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29604939
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 70, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 24, 'label': '672.1215.2h1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29604940
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 71, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 24, 'label': '672.1215.2h2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29604941
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 72, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 24, 'label': '672.1215.2h3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29604942
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 73, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '42.4', 'image_order': 42, 'indicator': 0, 'kernel': '42.a1', 'kernel_order': 16, 'label': '672.1215.2i1', 'nt': [21, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]]]}
  • id: 29604943
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 74, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '42.4', 'image_order': 42, 'indicator': 0, 'kernel': '42.a1', 'kernel_order': 16, 'label': '672.1215.2i2', 'nt': [21, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]]]}
  • id: 29604944
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 75, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '42.4', 'image_order': 42, 'indicator': 0, 'kernel': '42.a1', 'kernel_order': 16, 'label': '672.1215.2i3', 'nt': [21, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]]]}
  • id: 29604945
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 76, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '42.4', 'image_order': 42, 'indicator': 0, 'kernel': '42.a1', 'kernel_order': 16, 'label': '672.1215.2i4', 'nt': [21, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]]]}
  • id: 29604946
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 77, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '42.4', 'image_order': 42, 'indicator': 0, 'kernel': '42.a1', 'kernel_order': 16, 'label': '672.1215.2i5', 'nt': [21, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]]]}
  • id: 29604947
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 78, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '42.4', 'image_order': 42, 'indicator': 0, 'kernel': '42.a1', 'kernel_order': 16, 'label': '672.1215.2i6', 'nt': [21, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]]]}
  • id: 29604948
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 79, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.c1', 'kernel_order': 8, 'label': '672.1215.2j1', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -7]], [[-2, -7]], [[2, 7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]]]}
  • id: 29604950
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 80, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.c1', 'kernel_order': 8, 'label': '672.1215.2j2', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 7]], [[-2, 7]], [[2, -7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]]]}
  • id: 29604951
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 81, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.c1', 'kernel_order': 8, 'label': '672.1215.2j3', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[2, -7]], [[-2, -7]], [[2, 7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]]]}
  • id: 29604952
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 82, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.c1', 'kernel_order': 8, 'label': '672.1215.2j4', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[2, 7]], [[-2, 7]], [[2, -7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]]]}
  • id: 29604953
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 83, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.c1', 'kernel_order': 8, 'label': '672.1215.2j5', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[2, -7]], [[-2, -7]], [[2, 7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]]]}
  • id: 29604954
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 84, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.c1', 'kernel_order': 8, 'label': '672.1215.2j6', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[2, 7]], [[-2, 7]], [[2, -7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]]]}
  • id: 29604955
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 85, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2k1', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, -7]], [[2, -7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 4], [1, 10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]]]}
  • id: 29604956
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 86, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2k2', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, 7]], [[2, 7]], [[-2, -7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]]]}
  • id: 29604957
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 87, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2k3', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, -7]], [[2, -7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]]]}
  • id: 29604958
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 88, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2k4', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, 7]], [[2, 7]], [[-2, -7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]]]}
  • id: 29604959
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 89, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2k5', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-2, -7]], [[2, -7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]]]}
  • id: 29604961
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 90, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2k6', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-2, 7]], [[2, 7]], [[-2, -7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 2], [1, 5]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]]]}
  • id: 29604962
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 91, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2l1', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, -7]], [[2, -7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]]]}
  • id: 29604963
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 92, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2l2', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, 7]], [[2, 7]], [[-2, -7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]]]}
  • id: 29604964
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 93, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2l3', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, -7]], [[2, -7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]]]}
  • id: 29604965
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 94, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2l4', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, 7]], [[2, 7]], [[-2, -7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 3], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]]]}
  • id: 29604966
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 95, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2l5', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-2, -7]], [[2, -7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]]]}
  • id: 29604967
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 96, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2l6', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-2, 7]], [[2, 7]], [[-2, -7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 2], [-1, 5]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]]]}
  • id: 29604968
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 97, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2m1', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -7]], [[-2, -7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]]]}
  • id: 29604969
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 98, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2m2', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 7]], [[-2, 7]], [[2, -7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]]]}
  • id: 29604970
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 99, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2m3', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[2, -7]], [[-2, -7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]]]}
  • id: 29604832
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 100, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2m4', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[2, 7]], [[-2, 7]], [[2, -7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 3], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]]]}
  • id: 29604833
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 101, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2m5', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[2, -7]], [[-2, -7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]]]}
  • id: 29604834
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 102, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2m6', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[2, 7]], [[-2, 7]], [[2, -7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]]]}
  • id: 29604835
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 103, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2n1', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]]]}
  • id: 29604836
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 104, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2n2', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]]]}
  • id: 29604837
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 105, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2n3', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]]]}
  • id: 29604838
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 106, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2n4', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]]]}
  • id: 29604839
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 107, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2n5', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]]]}
  • id: 29604840
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 108, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.a1', 'kernel_order': 8, 'label': '672.1215.2n6', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]]]}
  • id: 29604841
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 109, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2o1', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]]]}
  • id: 29604843
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 110, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2o2', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]]]}
  • id: 29604844
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 111, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2o3', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]]]}
  • id: 29604845
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 112, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2o4', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]]]}
  • id: 29604846
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 113, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2o5', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]]]}
  • id: 29604847
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 114, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2o6', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[-2, -7]], [[2, -7]], [[2, 7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 2], [-1, 5]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]]]}
  • id: 29604848
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 115, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2p1', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]]]}
  • id: 29604849
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 116, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2p2', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 2], [1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 3], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]]]}
  • id: 29604850
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 117, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2p3', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 2], [1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]]]}
  • id: 29604851
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 118, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2p4', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]]]}
  • id: 29604852
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 119, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2p5', 'nt': [42, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-2, -7]], [[-2, -7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[-2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 2], [1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]]]}
  • id: 29604854
    {'center': '14.a1', 'center_index': 14, 'center_order': 48, 'counter': 120, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -2, 5, 0, 3, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '84.12', 'image_order': 84, 'indicator': 0, 'kernel': '84.b1', 'kernel_order': 8, 'label': '672.1215.2p6', 'nt': [42, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 7]], [[2, -7]], [[2, -7]], [[2, 7]], [[-2, 7]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-2, 7]], [[-2, 7]], [[-2, -7]], [[2, -7]], [[-2, -7]], [[-2, 7]], [[-2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, 10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 4], [1, 10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 2], [1, 5]], [[-1, 3], [-1, 10], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 4], [-1, 10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[1, 3], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[-1, 4], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[-1, 3], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 8], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 4], [-1, 10]], [[1, 2], [1, 5]], [[-1, 2], [-1, 5]], [[1, 4], [1, 10]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [1, 6], [1, 7], [-1, 8], [1, 10], [-1, -10]], [[-1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 5], [-1, 6], [1, 8], [1, -10]], [[1, 0], [-1, 2], [1, 3], [-1, 5], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-1, 6], [-1, 7], [1, 8], [-1, 10], [1, -10]]]}
  • id: 29604855
    {'center': '16.a1', 'center_index': 16, 'center_order': 42, 'counter': 121, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '32.50', 'image_order': 32, 'indicator': -1, 'kernel': '32.a1', 'kernel_order': 21, 'label': '672.1215.4a', 'nt': [16, 20], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[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]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[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]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-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]]]}
  • id: 29604856
    {'center': '16.a1', 'center_index': 16, 'center_order': 42, 'counter': 122, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '96.225', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 7, 'label': '672.1215.4b1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[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]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[4, -1]], [[4, -1]], [[4, 1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[-4, 1]], [[-4, -1]], [[-4, 1]], [[-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604857
    {'center': '16.a1', 'center_index': 16, 'center_order': 42, 'counter': 123, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '96.225', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 7, 'label': '672.1215.4b2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[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]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, 1]], [[4, 1]], [[4, -1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[-4, -1]], [[-4, 1]], [[-4, -1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604858
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 124, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '224.186', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1', 'kernel_order': 3, 'label': '672.1215.4c1', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 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, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604859
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 125, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '224.186', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1', 'kernel_order': 3, 'label': '672.1215.4c2', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 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, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604860
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 126, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '224.186', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1', 'kernel_order': 3, 'label': '672.1215.4c3', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604861
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 127, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '224.186', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1', 'kernel_order': 3, 'label': '672.1215.4c4', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604862
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 128, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '224.186', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1', 'kernel_order': 3, 'label': '672.1215.4c5', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604863
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 129, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '224.186', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1', 'kernel_order': 3, 'label': '672.1215.4c6', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604865
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 130, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d1', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 14]], [[4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 28]], [[4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [-2, 20], [-2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 8], [2, 20]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 4], [-2, 10]], [[-2, 15], [-2, -15]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[2, 15], [2, -15]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, 20]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[-2, 4], [2, 10]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[-2, 6], [2, 20], [2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9], [2, 19], [2, 23]], [[-2, 5], [-2, 23]], [[2, 11], [2, 17]], [[2, 9], [-2, 19], [-2, 23]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[2, 1], [-2, 13]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[2, 5], [2, 23]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[-2, 1], [2, 13]], [[-2, 11], [-2, 17]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604874
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 139, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d10', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 28]], [[-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 14]], [[-4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 4], [-2, 10]], [[2, 6], [-2, 20], [-2, 22]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 8], [2, 20]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[-2, 8], [-2, 20]], [[-2, 4], [2, 10]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[-2, 6], [2, 20], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11], [2, 17]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[2, 1], [-2, 13]], [[-2, 11], [-2, 17]], [[2, 9], [-2, 19], [-2, 23]], [[2, 5], [2, 23]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[-2, 5], [-2, 23]], [[-2, 1], [2, 13]], [[-2, 9], [2, 19], [2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604876
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 140, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d11', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 14]], [[4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 28]], [[4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 8], [2, 20]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 4], [-2, 10]], [[2, 6], [-2, 20], [-2, 22]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[-2, 4], [2, 10]], [[-2, 6], [2, 20], [2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[-2, 8], [-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[-2, 11], [-2, 17]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[-2, 5], [-2, 23]], [[-2, 9], [2, 19], [2, 23]], [[-2, 1], [2, 13]], [[2, 11], [2, 17]], [[2, 1], [-2, 13]], [[2, 9], [-2, 19], [-2, 23]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[2, 5], [2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604877
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 141, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d12', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 28]], [[-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 14]], [[-4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 4], [-2, 10]], [[2, 6], [-2, 20], [-2, 22]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 8], [2, 20]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[-2, 8], [-2, 20]], [[-2, 4], [2, 10]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[-2, 6], [2, 20], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11], [-2, 17]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[-2, 1], [2, 13]], [[2, 11], [2, 17]], [[-2, 9], [2, 19], [2, 23]], [[-2, 5], [-2, 23]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[2, 5], [2, 23]], [[2, 1], [-2, 13]], [[2, 9], [-2, 19], [-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604866
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 131, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d2', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 28]], [[-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 14]], [[-4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, 20]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 4], [-2, 10]], [[2, 6], [-2, 20], [-2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[-2, 15], [-2, -15]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[2, 15], [2, -15]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [2, 20], [2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[-2, 8], [-2, 20]], [[-2, 4], [2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 23]], [[-2, 9], [2, 19], [2, 23]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[2, 5], [2, 23]], [[2, 1], [-2, 13]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[2, 11], [2, 17]], [[2, 9], [-2, 19], [-2, 23]], [[-2, 11], [-2, 17]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[-2, 1], [2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604867
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 132, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d3', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 14]], [[4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 28]], [[4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [-2, 20], [-2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 8], [2, 20]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 4], [-2, 10]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[-2, 15], [-2, -15]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, 20]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[-2, 4], [2, 10]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[-2, 6], [2, 20], [2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [-2, 19], [-2, 23]], [[2, 5], [2, 23]], [[-2, 11], [-2, 17]], [[-2, 9], [2, 19], [2, 23]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[-2, 1], [2, 13]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[-2, 5], [-2, 23]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[2, 1], [-2, 13]], [[2, 11], [2, 17]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604868
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 133, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d4', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 28]], [[-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 14]], [[-4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, 20]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 4], [-2, 10]], [[2, 6], [-2, 20], [-2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[-2, 15], [-2, -15]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [2, 20], [2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[-2, 8], [-2, 20]], [[-2, 4], [2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 23]], [[2, 9], [-2, 19], [-2, 23]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[-2, 5], [-2, 23]], [[-2, 1], [2, 13]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[-2, 11], [-2, 17]], [[-2, 9], [2, 19], [2, 23]], [[2, 11], [2, 17]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[2, 1], [-2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604869
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 134, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d5', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 14]], [[4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 28]], [[4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 10]], [[2, 8], [2, 20]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 6], [-2, 20], [-2, 22]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[-2, 6], [2, 20], [2, 22]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[-2, 8], [-2, 20]], [[-2, 4], [2, 10]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [2, 13]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[-2, 5], [-2, 23]], [[2, 1], [-2, 13]], [[2, 11], [2, 17]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[-2, 9], [2, 19], [2, 23]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[2, 9], [-2, 19], [-2, 23]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[2, 5], [2, 23]], [[-2, 11], [-2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604870
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 135, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d6', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 28]], [[-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 14]], [[-4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 6], [-2, 20], [-2, 22]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 4], [-2, 10]], [[2, 8], [2, 20]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 10]], [[-2, 8], [-2, 20]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[-2, 6], [2, 20], [2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[-2, 1], [2, 13]], [[-2, 9], [2, 19], [2, 23]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[2, 11], [2, 17]], [[-2, 5], [-2, 23]], [[2, 1], [-2, 13]], [[2, 5], [2, 23]], [[-2, 11], [-2, 17]], [[2, 9], [-2, 19], [-2, 23]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604871
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 136, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d7', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 14]], [[4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 28]], [[4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, 10]], [[2, 8], [2, 20]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 6], [-2, 20], [-2, 22]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[-2, 6], [2, 20], [2, 22]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[-2, 8], [-2, 20]], [[-2, 4], [2, 10]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, 13]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[2, 5], [2, 23]], [[-2, 1], [2, 13]], [[-2, 11], [-2, 17]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[2, 9], [-2, 19], [-2, 23]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[-2, 9], [2, 19], [2, 23]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[-2, 5], [-2, 23]], [[2, 11], [2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604872
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 137, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d8', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 28]], [[-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 14]], [[-4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 6], [-2, 20], [-2, 22]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 4], [-2, 10]], [[2, 8], [2, 20]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, 10]], [[-2, 8], [-2, 20]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[-2, 6], [2, 20], [2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[2, 1], [-2, 13]], [[2, 9], [-2, 19], [-2, 23]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[-2, 11], [-2, 17]], [[2, 5], [2, 23]], [[-2, 1], [2, 13]], [[-2, 5], [-2, 23]], [[2, 11], [2, 17]], [[-2, 9], [2, 19], [2, 23]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29604873
    {'center': '112.a1', 'center_index': 112, 'center_order': 6, 'counter': 138, 'cyclotomic_n': 84, 'dim': 4, 'faithful': True, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '672.1215', 'group_counter': 1215, 'group_order': 672, 'image': None, 'image_isoclass': '672.1215', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 1, 'label': '672.1215.4d9', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 14]], [[4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 28]], [[4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-2, 4], [-2, 6], [2, 10], [-2, 14], [2, 20], [2, 22]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 10], [2, 12], [-2, 16], [2, 22]], [[2, 8], [2, 20]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [-2, 10], [-2, 12], [2, 14], [2, 16], [-2, 20], [-2, 22]], [[2, 4], [-2, 10]], [[2, 6], [-2, 20], [-2, 22]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [2, 10], [2, 12], [-2, 14], [-2, 16], [2, 20], [2, 22]], [[-2, 4], [2, 10]], [[-2, 6], [2, 20], [2, 22]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 10], [-2, 12], [2, 16], [-2, 22]], [[-2, 0], [2, 4], [2, 6], [-2, 10], [2, 14], [-2, 20], [-2, 22]], [[-2, 8], [-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [2, 13], [-4, 17], [-2, 19], [2, 23]], [[2, 11], [2, 17]], [[-4, 1], [2, 5], [2, 7], [-2, 11], [4, 15], [2, 17], [-2, 21], [-2, 23]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [-2, 13], [4, 17], [2, 19], [-2, 23]], [[2, 5], [2, 23]], [[2, 9], [-2, 19], [-2, 23]], [[2, 1], [-2, 13]], [[-2, 11], [-2, 17]], [[-2, 1], [2, 13]], [[-2, 9], [2, 19], [2, 23]], [[4, 1], [-2, 5], [-2, 7], [2, 11], [-4, 15], [-2, 17], [2, 21], [2, 23]], [[-2, 5], [-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• 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: 110438733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 672, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 42, 'label': '672.1215.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, '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': '672.1215', 'subgroup_hash': 1215, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 110438744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 336, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, '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': '336.177', 'subgroup_hash': 177, 'subgroup_order': 336, 'subgroup_tex': 'D_{28}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110438755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 336, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.174', 'subgroup_hash': 174, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 336, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.179', 'subgroup_hash': 179, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110438777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 336, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.207', 'subgroup_hash': 207, 'subgroup_order': 336, 'subgroup_tex': 'D_4:C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110438788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 336, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.180', 'subgroup_hash': 180, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110438799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 6, 'characteristic': True, 'core_order': 224, 'counter': 7, 'cyclic': False, 'direct': True, 'hall': 14, 'label': '672.1215.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, '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': '224.186', 'subgroup_hash': 186, 'subgroup_order': 224, 'subgroup_tex': 'D_4.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110438810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 168, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.28', 'subgroup_hash': 28, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438821
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 168, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.39', 'subgroup_hash': 39, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 110438734
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 168, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.27', 'subgroup_hash': 27, 'subgroup_order': 168, 'subgroup_tex': 'C_{14}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110438735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 168, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.40', 'subgroup_hash': 40, 'subgroup_order': 168, 'subgroup_tex': 'D_4\\times C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 110438736
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 168, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.25', 'subgroup_hash': 25, 'subgroup_order': 168, 'subgroup_tex': 'C_{12}\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 110438737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': True, 'core_order': 168, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.26', 'subgroup_hash': 26, 'subgroup_order': 168, 'subgroup_tex': 'C_3\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110438738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': False, 'core_order': 168, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': 24, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 168, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': 24, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 168, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.41', 'subgroup_hash': 41, 'subgroup_order': 168, 'subgroup_tex': 'Q_8\\times C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 110438741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 112, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110438742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 112, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 112, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.32', 'subgroup_hash': 32, 'subgroup_order': 112, 'subgroup_tex': 'D_4:D_7', 'supersolvable': True, 'sylow': 0}
  • id: 110438745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 112, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.40', 'subgroup_hash': 40, 'subgroup_order': 112, 'subgroup_tex': 'D_4:C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110438746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 112, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.33', 'subgroup_hash': 33, 'subgroup_order': 112, 'subgroup_tex': 'Q_8\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 110438747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 48, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '672.1215.7.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7.a1', 'outer_equivalence': True, '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': '96.225', 'subgroup_hash': 225, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 110438748
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 84, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110438749
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.12', 'subgroup_hash': 12, 'subgroup_order': 84, 'subgroup_tex': 'C_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110438750
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 110438751
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 84, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 110438752
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': 4, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110438753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 56, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.7', 'subgroup_hash': 7, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438754
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 56, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110438756
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 56, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 56, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.9', 'subgroup_hash': 9, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438758
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 56, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.4', 'subgroup_hash': 4, 'subgroup_order': 56, 'subgroup_tex': 'C_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 110438759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': True, 'core_order': 56, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110438760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 56, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 56, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 48, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.14.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.47', 'subgroup_hash': 47, 'subgroup_order': 48, 'subgroup_tex': 'D_4:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110438764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.14.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.b1', 'outer_equivalence': True, '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': '48.47', 'subgroup_hash': 47, 'subgroup_order': 48, 'subgroup_tex': 'D_4:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110438765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.14.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.c1', 'outer_equivalence': True, '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': '48.46', 'subgroup_hash': 46, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.14.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.d1', 'outer_equivalence': True, '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': '48.47', 'subgroup_hash': 47, 'subgroup_order': 48, 'subgroup_tex': 'D_4:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110438768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.14.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.e1', 'outer_equivalence': True, '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': '48.46', 'subgroup_hash': 46, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438769
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 42, 'counter': 42, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110438770
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 21, 'counter': 43, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.1215.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.b1', 'outer_equivalence': True, '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': 16, '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': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110438771
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 21, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.c1', 'outer_equivalence': True, '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': 16, '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': '42.4', 'subgroup_hash': 4, 'subgroup_order': 42, 'subgroup_tex': 'C_3\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 110438772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 16, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '672.1215.21.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '21.a1', 'outer_equivalence': True, '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': '32.50', 'subgroup_hash': 50, 'subgroup_order': 32, 'subgroup_tex': 'C_4.C_2^3', 'supersolvable': True, 'sylow': 2}
  • id: 110438773
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 28, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110438774
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110438775
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 28, 'counter': 48, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110438776
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 28, 'counter': 49, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110438778
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438779
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 24, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.28.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110438780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 168, 'characteristic': False, 'core_order': 24, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.28.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 168, 'characteristic': True, 'core_order': 24, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.28.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.28.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.d1', 'outer_equivalence': True, '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438783
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.28.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1', 'outer_equivalence': True, '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110438784
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.28.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.f1', 'outer_equivalence': True, '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110438785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.28.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.g1', 'outer_equivalence': True, '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.28.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.h1', 'outer_equivalence': True, '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.28.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.i1', 'outer_equivalence': True, '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438789
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 21, 'counter': 60, 'cyclic': True, 'direct': False, 'hall': 21, 'label': '672.1215.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.50', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C5'], '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: 110438790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 16, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.42.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '42.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '42.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 42, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110438791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 8, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.42.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.b1', 'outer_equivalence': True, '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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110438792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 8, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.42.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.c1', 'outer_equivalence': True, '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': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 8, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.42.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.d1', 'outer_equivalence': True, '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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110438794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 8, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.42.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.e1', 'outer_equivalence': True, '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': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438795
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 14, 'counter': 66, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110438796
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 7, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.1215.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110438797
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 7, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 110438798
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 12, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.56.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110438800
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 12, 'counter': 70, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.56.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110438801
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 12, 'counter': 71, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.56.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110438802
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.56.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.d1', 'outer_equivalence': True, '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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110438803
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.1215.56.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.e1', 'outer_equivalence': True, '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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110438804
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 8, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.84.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '84.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 168, 'characteristic': False, 'core_order': 8, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.84.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '84.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 168, 'characteristic': True, 'core_order': 8, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.84.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '84.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.84.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.d1', 'outer_equivalence': True, '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': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438808
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.84.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.e1', 'outer_equivalence': True, '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': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438809
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.84.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.f1', 'outer_equivalence': True, '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': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.84.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.g1', 'outer_equivalence': True, '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': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.84.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.h1', 'outer_equivalence': True, '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': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.84.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.i1', 'outer_equivalence': True, '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': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110438814
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 7, 'counter': 83, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '672.1215.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.225', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 225, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.C_2^4', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C6'], '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: 110438815
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 6, 'counter': 84, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.112.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '112.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110438816
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 3, 'counter': 85, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.1215.112.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.b1', 'outer_equivalence': True, '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': 112, '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: 110438817
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 86, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.1215.112.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.c1', 'outer_equivalence': True, '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': 112, '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: 110438818
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.1215.168.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '168.54', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 54, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110438819
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 4, 'counter': 88, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.168.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '168.54', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 54, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438820
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.168.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '168.54', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 54, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438822
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.1215.168.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.d1', 'outer_equivalence': True, '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': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110438823
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 91, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.1215.168.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.e1', 'outer_equivalence': True, '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': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110438824
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 3, 'counter': 92, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '672.1215.224.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '224.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '224.186', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 186, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4.D_{14}', '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': 3}
  • id: 110438825
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 2, 'counter': 93, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.1215.336.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '336.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '336.225', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 225, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{42}:C_2^3', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110438826
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 1, 'counter': 94, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.1215.336.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.b1', 'outer_equivalence': True, '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': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110438827
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 95, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.1215.336.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.c1', 'outer_equivalence': True, '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': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110438828
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.1215', 'ambient_counter': 1215, 'ambient_order': 672, 'ambient_tex': 'C_{84}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 1, 'counter': 96, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '672.1215.672.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '672.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '672.1215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1215, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{84}.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C7'], '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: 110438812
    {'ambient': '672.1215', 'aut_centralizer_order': 96, 'aut_label': '84.h1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2016, 'centralizer': '28.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.g1', '28.h1', '42.b1', '42.c1'], 'contains': ['168.b1', '168.e1'], 'core': '168.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [6070, -1, 4854, -1], 'generators': [3, 4], 'label': '672.1215.84.h1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.h1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438733
    {'ambient': '672.1215', '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': '112.a1', 'complements': ['672.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '3.a1', '7.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8112, 5065, 4970, 5292], 'generators': [1, 8, 4, 336, 2, 96, 224], 'label': '672.1215.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 110438734
    {'ambient': '672.1215', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 24, 'centralizer': '56.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '2.c1'], 'contains': ['8.a1', '8.e1', '12.c1', '28.e1'], 'core': '4.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [3993, 5720, 2447, 3788], 'generators': [3, 224, 8, 336, 96], 'label': '672.1215.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.c1'], 'normal_contains': ['8.a1', '8.e1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438735
    {'ambient': '672.1215', 'aut_centralizer_order': 56, 'aut_label': '4.d1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '96.221', 'aut_weyl_index': 168, 'centralizer': '8.c1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.c1', '2.d1'], 'contains': ['8.a1', '8.d1', '12.d1', '28.b1'], 'core': '4.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [7897, 1899, 4989, 7530], 'generators': [1, 224, 96, 336, 8], 'label': '672.1215.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.c1', '2.d1'], 'normal_contains': ['8.a1', '8.d1', '12.d1', '28.b1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438736
    {'ambient': '672.1215', 'aut_centralizer_order': 8, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '336.216', 'aut_weyl_index': 48, 'centralizer': '56.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '2.c1', '2.e1'], 'contains': ['8.b1', '8.d1', '8.e1', '12.e1', '28.f1'], 'core': '4.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [5854, 6775, 2905, 3092], 'generators': [1, 224, 8, 2, 96], 'label': '672.1215.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1', '2.c1', '2.e1'], 'normal_contains': ['8.b1', '8.d1', '8.e1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438737
    {'ambient': '672.1215', 'aut_centralizer_order': 24, 'aut_label': '4.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 24, 'centralizer': '28.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.b1', '8.c1', '12.f1', '28.g1'], 'core': '4.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [1698, 8635, 606, 306], 'generators': [2, 224, 8, 4, 96], 'label': '672.1215.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.b1', '8.c1', '12.f1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110438738
    {'ambient': '672.1215', 'aut_centralizer_order': 8, 'aut_label': '4.g1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 24, 'centralizer': '28.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.c1', '8.e1', '12.g1', '28.h1'], 'core': '4.g1', 'coset_action_label': None, 'count': 3, 'diagramx': [3222, 9691, 1064, 1001], 'generators': [3, 224, 8, 4, 96], 'label': '672.1215.4.g1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.c1', '8.e1', '12.g1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110438739
    {'ambient': '672.1215', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 24, 'centralizer': '56.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '2.c1', '2.e1'], 'contains': ['8.d1', '8.e1', '12.h1', '28.i1'], 'core': '4.h1', 'coset_action_label': None, 'count': 6, 'diagramx': [7050, 4056, 4274, 6260], 'generators': [1, 224, 8, 434, 96], 'label': '672.1215.4.h1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.h1', 'normal_contained_in': ['2.b1', '2.c1', '2.e1'], 'normal_contains': ['8.d1', '8.e1', '12.h1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438740
    {'ambient': '672.1215', 'aut_centralizer_order': 56, 'aut_label': '4.i1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '288.1033', 'aut_weyl_index': 56, 'centralizer': '8.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '2.e1'], 'contains': ['8.d1', '12.i1', '28.c1'], 'core': '4.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [9414, 850, 7123, 8921], 'generators': [1, 224, 96, 340, 8], 'label': '672.1215.4.i1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.i1', 'normal_contained_in': ['2.d1', '2.e1'], 'normal_contains': ['8.d1', '12.i1', '28.c1'], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438741
    {'ambient': '672.1215', 'aut_centralizer_order': 8, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 24, 'centralizer': '56.c1', 'complements': ['112.b1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.e1', '12.f1', '12.g1', '42.b1'], 'core': '6.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4473, 9602, 2022, 2455], 'generators': [1, 4, 8, 2, 96], 'label': '672.1215.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.b1', '12.e1', '12.f1', '12.g1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438742
    {'ambient': '672.1215', 'aut_centralizer_order': 4, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1344.11444', 'aut_weyl_index': 12, 'centralizer': '56.a1', 'complements': ['112.c1', '112.b1'], 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.b1', '12.c1', '12.g1', '12.h1', '42.c1'], 'core': '6.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5429, 5387, 3813, 4488], 'generators': [3, 336, 8, 4, 96], 'label': '672.1215.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.b1', '12.c1', '12.g1', '12.h1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438743
    {'ambient': '672.1215', 'aut_centralizer_order': 4, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 24, 'centralizer': '112.a1', 'complements': ['112.c1', '112.b1'], 'conjugacy_class_count': 6, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.a1', '12.c1', '12.d1', '12.e1', '12.h1', '42.d1'], 'core': '6.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [6862, 6261, 4633, 5033], 'generators': [1, 336, 8, 2, 96], 'label': '672.1215.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.c1', '3.a1'], 'normal_contains': ['12.a1', '12.c1', '12.d1', '12.e1', '12.h1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 110438744
    {'ambient': '672.1215', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 12, 'centralizer': '56.c1', 'complements': ['336.b1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.e1', '4.f1', '4.g1', '6.a1', '14.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3993, 7705, 2463, 2455], 'generators': [1, 96, 4, 224, 2, 8], 'label': '672.1215.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.e1', '4.f1', '4.g1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438745
    {'ambient': '672.1215', 'aut_centralizer_order': 56, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '288.1033', 'aut_weyl_index': 56, 'centralizer': '8.c1', 'complements': ['112.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.b1', '12.d1', '12.i1', '42.a1'], 'core': '6.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9162, 975, 6286, 8225], 'generators': [1, 336, 96, 4, 8], 'label': '672.1215.6.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1', 'normal_contained_in': ['2.d1', '3.a1'], 'normal_contains': ['12.b1', '12.d1', '12.i1', '42.a1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438746
    {'ambient': '672.1215', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2016.dc', 'aut_weyl_index': 8, 'centralizer': '112.a1', 'complements': ['112.b1', '112.c1'], 'conjugacy_class_count': 2, 'contained_in': ['2.e1', '3.a1'], 'contains': ['12.e1', '12.h1', '12.i1', '42.e1'], 'core': '6.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [8701, 4202, 5867, 6897], 'generators': [1, 348, 8, 2, 96], 'label': '672.1215.6.e1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.e1', 'normal_contained_in': ['2.e1', '3.a1'], 'normal_contains': ['12.e1', '12.h1', '12.i1'], 'normalizer': '1.a1', 'old_label': '6.e1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 110438747
    {'ambient': '672.1215', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20051', 'aut_weyl_index': 42, 'centralizer': '112.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['14.a1', '14.b1', '14.c1', '14.d1', '14.e1', '21.a1'], 'core': '14.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8895, -1, 7581, -1], 'generators': [1, 8, 224, 2, 4, 336], 'label': '672.1215.7.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '7.a1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 110438748
    {'ambient': '672.1215', 'aut_centralizer_order': 224, 'aut_label': '8.a1', 'aut_quo_index': 42, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'contains': ['16.a1', '16.b1', '24.a1', '56.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2005, 3355, 2113, 4886], 'generators': [337, 224, 96, 8], 'label': '672.1215.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.a1', '24.a1', '56.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '112.42', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438749
    {'ambient': '672.1215', 'aut_centralizer_order': 48, 'aut_label': '8.b1', 'aut_quo_index': 28, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '28.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.e1', '4.f1'], 'contains': ['16.a1', '16.c1', '24.b1', '56.d1'], 'core': '8.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [925, 7165, 164, 1027], 'generators': [2, 224, 96, 8], 'label': '672.1215.8.b1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.e1', '4.f1'], 'normal_contains': ['16.a1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110438750
    {'ambient': '672.1215', 'aut_centralizer_order': 672, 'aut_label': '8.c1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.f1', '4.g1'], 'contains': ['16.a1', '24.c1', '56.b1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2387, 5195, 722, 1500], 'generators': [4, 96, 8, 224], 'label': '672.1215.8.c1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.f1', '4.g1'], 'normal_contains': ['16.a1', '24.c1', '56.b1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438751
    {'ambient': '672.1215', 'aut_centralizer_order': 224, 'aut_label': '8.d1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.b1', '4.d1', '4.e1', '4.h1', '4.i1'], 'contains': ['16.a1', '24.d1', '56.c1'], 'core': '8.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [6513, 2305, 4125, 6482], 'generators': [1, 96, 8, 224], 'label': '672.1215.8.d1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': ['4.b1', '4.d1', '4.e1', '4.h1', '4.i1'], 'normal_contains': ['16.a1', '24.d1', '56.c1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '112.42', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438752
    {'ambient': '672.1215', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '28.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '4.c1', '4.e1', '4.g1', '4.h1'], 'contains': ['16.a1', '24.e1', '56.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [3377, 7955, 1329, 2422], 'generators': [3, 8, 96, 224], 'label': '672.1215.8.e1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.e1', 'normal_contained_in': ['4.a1', '4.c1', '4.e1', '4.g1', '4.h1'], 'normal_contains': ['16.a1', '24.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110438753
    {'ambient': '672.1215', 'aut_centralizer_order': 16, 'aut_label': '12.a1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '56.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '6.a1', '6.c1'], 'contains': ['24.a1', '24.b1', '24.e1', '84.d1'], 'core': '12.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3040, 8635, 1724, 3021], 'generators': [337, 8, 96, 2], 'label': '672.1215.12.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1', '6.c1'], 'normal_contains': ['24.a1', '24.b1', '24.e1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438754
    {'ambient': '672.1215', 'aut_centralizer_order': 224, 'aut_label': '12.b1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.b1', '6.a1', '6.b1', '6.d1'], 'contains': ['24.a1', '24.c1', '24.d1', '84.a1'], 'core': '12.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4819, 3475, 3319, 5569], 'generators': [1, 96, 8, 4], 'label': '672.1215.12.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1', '6.b1', '6.d1'], 'normal_contains': ['24.a1', '24.c1', '24.d1', '84.a1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '336.225', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438755
    {'ambient': '672.1215', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '56.a1', 'complements': ['336.c1', '336.b1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.g1', '4.h1', '6.b1', '14.c1'], 'core': '2.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5429, 4799, 3813, 4286], 'generators': [3, 96, 336, 224, 4, 8], 'label': '672.1215.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.g1', '4.h1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438756
    {'ambient': '672.1215', 'aut_centralizer_order': 8, 'aut_label': '12.c1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '336.125', 'aut_weyl_index': 48, 'centralizer': '56.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.c1', '6.b1', '6.c1'], 'contains': ['24.a1', '24.e1', '84.e1'], 'core': '12.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [5320, 5995, 3775, 4194], 'generators': [3, 8, 96, 336], 'label': '672.1215.12.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.b1', '6.c1'], 'normal_contains': ['24.a1', '24.e1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438757
    {'ambient': '672.1215', 'aut_centralizer_order': 112, 'aut_label': '12.d1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '48.45', 'aut_weyl_index': 336, 'centralizer': '8.c1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.d1', '6.c1', '6.d1'], 'contains': ['24.a1', '24.d1', '84.b1'], 'core': '12.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [7535, 2097, 4691, 6956], 'generators': [1, 96, 8, 336], 'label': '672.1215.12.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.d1', 'normal_contained_in': ['4.d1', '6.c1', '6.d1'], 'normal_contains': ['24.a1', '24.d1', '84.b1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438758
    {'ambient': '672.1215', 'aut_centralizer_order': 16, 'aut_label': '12.e1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '56.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.e1', '6.a1', '6.c1', '6.e1'], 'contains': ['24.b1', '24.d1', '24.e1', '84.f1'], 'core': '12.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [6701, 7507, 2905, 3558], 'generators': [1, 8, 96, 2], 'label': '672.1215.12.e1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.e1', 'normal_contained_in': ['4.e1', '6.a1', '6.c1', '6.e1'], 'normal_contains': ['24.b1', '24.d1', '24.e1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438759
    {'ambient': '672.1215', 'aut_centralizer_order': 48, 'aut_label': '12.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '336.125', 'aut_weyl_index': 48, 'centralizer': '28.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1', '6.a1'], 'contains': ['24.b1', '24.c1', '84.g1'], 'core': '12.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [1465, 8095, 476, 553], 'generators': [2, 8, 96, 4], 'label': '672.1215.12.f1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.f1', 'normal_contained_in': ['4.f1', '6.a1'], 'normal_contains': ['24.b1', '24.c1'], 'normalizer': '1.a1', 'old_label': '12.f1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110438760
    {'ambient': '672.1215', 'aut_centralizer_order': 16, 'aut_label': '12.g1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '336.125', 'aut_weyl_index': 48, 'centralizer': '28.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.g1', '6.a1', '6.b1'], 'contains': ['24.c1', '24.e1', '84.h1'], 'core': '12.g1', 'coset_action_label': None, 'count': 3, 'diagramx': [4300, 9384, 970, 1877], 'generators': [3, 8, 96, 4], 'label': '672.1215.12.g1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.g1', 'normal_contained_in': ['4.g1', '6.a1', '6.b1'], 'normal_contains': ['24.c1', '24.e1'], 'normalizer': '1.a1', 'old_label': '12.g1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110438761
    {'ambient': '672.1215', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '336.125', 'aut_weyl_index': 48, 'centralizer': '56.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.h1', '6.b1', '6.c1', '6.e1'], 'contains': ['24.d1', '24.e1', '84.i1'], 'core': '12.h1', 'coset_action_label': None, 'count': 6, 'diagramx': [7166, 4733, 4373, 6105], 'generators': [1, 8, 96, 442], 'label': '672.1215.12.h1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.h1', 'normal_contained_in': ['4.h1', '6.b1', '6.c1', '6.e1'], 'normal_contains': ['24.d1', '24.e1'], 'normalizer': '1.a1', 'old_label': '12.h1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438762
    {'ambient': '672.1215', 'aut_centralizer_order': 112, 'aut_label': '12.i1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '144.188', 'aut_weyl_index': 112, 'centralizer': '8.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.i1', '6.d1', '6.e1'], 'contains': ['24.d1', '84.c1'], 'core': '12.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [9394, 1037, 7432, 8213], 'generators': [1, 96, 8, 348], 'label': '672.1215.12.i1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.i1', 'normal_contained_in': ['4.i1', '6.d1', '6.e1'], 'normal_contains': ['24.d1', '84.c1'], 'normalizer': '1.a1', 'old_label': '12.i1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438763
    {'ambient': '672.1215', 'aut_centralizer_order': 168, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.226', 'aut_weyl_index': 168, 'centralizer': '8.c1', 'complements': ['48.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '7.a1'], 'contains': ['28.a1', '28.b1', '28.c1', '42.a1'], 'core': '14.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9625, 579, 8776, 9617], 'generators': [1, 8, 4, 336, 224], 'label': '672.1215.14.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.a1', 'normal_contained_in': ['2.d1'], 'normal_contains': ['28.a1', '28.b1', '28.c1', '42.a1'], 'normalizer': '1.a1', 'old_label': '14.a1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438764
    {'ambient': '672.1215', 'aut_centralizer_order': 24, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '32.46', 'aut_weyl_index': 504, 'centralizer': '56.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '7.a1'], 'contains': ['28.a1', '28.d1', '28.f1', '28.g1', '28.h1', '42.b1'], 'core': '28.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [5204, -1, 5447, -1], 'generators': [1, 8, 2, 4, 224], 'label': '672.1215.14.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.b1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438765
    {'ambient': '672.1215', 'aut_centralizer_order': 12, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.264', 'aut_weyl_index': 252, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '7.a1'], 'contains': ['28.a1', '28.e1', '28.h1', '28.i1', '42.c1'], 'core': '28.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [6091, -1, 6706, -1], 'generators': [3, 8, 4, 336, 224], 'label': '672.1215.14.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.c1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438766
    {'ambient': '672.1215', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 12, 'centralizer': '112.a1', 'complements': ['336.c1', '336.b1'], 'conjugacy_class_count': 6, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.d1', '4.e1', '4.h1', '6.c1', '14.d1'], 'core': '2.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [6874, 5949, 4454, 4986], 'generators': [1, 96, 336, 224, 2, 8], 'label': '672.1215.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '4.d1', '4.e1', '4.h1', '6.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 110438767
    {'ambient': '672.1215', 'aut_centralizer_order': 12, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '32.46', 'aut_weyl_index': 504, 'centralizer': '56.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['2.c1', '7.a1'], 'contains': ['28.b1', '28.d1', '28.e1', '28.f1', '28.i1', '42.d1'], 'core': '28.b1', 'coset_action_label': None, 'count': 42, 'diagramx': [7991, -1, 7581, -1], 'generators': [1, 8, 2, 336, 224], 'label': '672.1215.14.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.d1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438768
    {'ambient': '672.1215', 'aut_centralizer_order': 12, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '96.226', 'aut_weyl_index': 168, 'centralizer': '56.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.e1', '7.a1'], 'contains': ['28.c1', '28.f1', '28.i1', '42.e1'], 'core': '28.c1', 'coset_action_label': None, 'count': 14, 'diagramx': [9162, -1, 8312, -1], 'generators': [1, 8, 2, 348, 224], 'label': '672.1215.14.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.e1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438769
    {'ambient': '672.1215', 'aut_centralizer_order': 1344, 'aut_label': '16.a1', 'aut_quo_index': 1680, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1'], 'contains': ['32.a1', '48.a1', '112.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1332, 5793, 2792, 3792], 'generators': [8, 96, 224], 'label': '672.1215.16.a1', 'mobius_quo': -1, 'mobius_sub': 64, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1'], 'normal_contains': ['32.a1', '48.a1', '112.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438770
    {'ambient': '672.1215', 'aut_centralizer_order': 224, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.a1'], 'contains': ['32.a1', '48.b1', '112.b1'], 'core': '32.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [575, -1, 2306, -1], 'generators': [337, 96, 224], 'label': '672.1215.16.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.b1', 'projective_image': '224.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438771
    {'ambient': '672.1215', 'aut_centralizer_order': 48, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '28.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1'], 'contains': ['32.a1', '48.c1', '112.c1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [181, -1, 1749, -1], 'generators': [2, 96, 224], 'label': '672.1215.16.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.c1', 'projective_image': '224.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 110438772
    {'ambient': '672.1215', 'aut_centralizer_order': 12, 'aut_label': '21.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '192.1472', 'aut_weyl_index': 84, 'centralizer': '112.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '7.a1'], 'contains': ['42.a1', '42.b1', '42.c1', '42.d1', '42.e1'], 'core': '42.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [9126, -1, 7967, -1], 'generators': [1, 2, 4, 336], 'label': '672.1215.21.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '21.a1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.a1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 110438773
    {'ambient': '672.1215', 'aut_centralizer_order': 448, 'aut_label': '24.a1', 'aut_quo_index': 42, 'aut_stab_index': 3, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '12.a1', '12.b1', '12.c1', '12.d1'], 'contains': ['48.a1', '48.b1', '168.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2387, 4592, 3394, 5074], 'generators': [337, 96, 8], 'label': '672.1215.24.a1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.b1', '12.c1', '12.d1'], 'normal_contains': ['48.a1', '168.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '336.225', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438774
    {'ambient': '672.1215', 'aut_centralizer_order': 96, 'aut_label': '24.b1', 'aut_quo_index': 28, 'aut_stab_index': 2, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '28.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '12.a1', '12.e1', '12.f1'], 'contains': ['48.a1', '48.c1', '168.d1'], 'core': '24.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1119, 7778, 2060, 3021], 'generators': [2, 96, 8], 'label': '672.1215.24.b1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.a1', '12.e1', '12.f1'], 'normal_contains': ['48.a1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110438775
    {'ambient': '672.1215', 'aut_centralizer_order': 1344, 'aut_label': '24.c1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.b1', '12.f1', '12.g1'], 'contains': ['48.a1', '168.b1'], 'core': '24.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2770, 6167, 2549, 3411], 'generators': [4, 8, 96], 'label': '672.1215.24.c1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.b1', '12.f1', '12.g1'], 'normal_contains': ['48.a1', '168.b1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438776
    {'ambient': '672.1215', 'aut_centralizer_order': 448, 'aut_label': '24.d1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.d1', '12.b1', '12.d1', '12.e1', '12.h1', '12.i1'], 'contains': ['48.a1', '168.c1'], 'core': '24.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [6708, 3277, 4559, 6076], 'generators': [1, 8, 96], 'label': '672.1215.24.d1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.d1', 'normal_contained_in': ['8.d1', '12.b1', '12.d1', '12.e1', '12.h1', '12.i1'], 'normal_contains': ['48.a1', '168.c1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '336.225', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438777
    {'ambient': '672.1215', 'aut_centralizer_order': 28, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '576.8668', 'aut_weyl_index': 28, 'centralizer': '8.c1', 'complements': ['336.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.d1', '4.i1', '6.d1', '14.a1'], 'core': '2.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9108, 1609, 6168, 7878], 'generators': [1, 8, 336, 224, 4, 96], 'label': '672.1215.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.d1', '4.i1', '6.d1', '14.a1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438778
    {'ambient': '672.1215', 'aut_centralizer_order': 32, 'aut_label': '24.e1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '28.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.e1', '12.a1', '12.c1', '12.e1', '12.g1', '12.h1'], 'contains': ['48.a1', '168.e1'], 'core': '24.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [4148, 8568, 3040, 4169], 'generators': [3, 96, 8], 'label': '672.1215.24.e1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.e1', 'normal_contained_in': ['8.e1', '12.a1', '12.c1', '12.e1', '12.g1', '12.h1'], 'normal_contains': ['48.a1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110438779
    {'ambient': '672.1215', 'aut_centralizer_order': 672, 'aut_label': '28.a1', 'aut_quo_index': 2, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2016, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.b1', '14.a1', '14.b1', '14.c1'], 'contains': ['56.a1', '56.b1', '56.c1', '84.a1'], 'core': '28.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5742, 2425, 7018, 7584], 'generators': [1, 4, 224, 8], 'label': '672.1215.28.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.a1', 'normal_contained_in': ['4.b1', '14.a1'], 'normal_contains': ['56.a1', '56.b1', '56.c1', '84.a1'], 'normalizer': '1.a1', 'old_label': '28.a1', 'projective_image': '112.42', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438780
    {'ambient': '672.1215', 'aut_centralizer_order': 336, 'aut_label': '28.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1008, 'centralizer': '4.g1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.d1', '14.a1', '14.d1'], 'contains': ['56.a1', '56.c1', '84.b1'], 'core': '28.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8167, 1442, 8823, 8787], 'generators': [1, 336, 224, 8], 'label': '672.1215.28.b1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.b1', 'normal_contained_in': ['4.d1', '14.a1'], 'normal_contains': ['56.a1', '56.c1', '84.b1'], 'normalizer': '1.a1', 'old_label': '28.b1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438781
    {'ambient': '672.1215', 'aut_centralizer_order': 336, 'aut_label': '28.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 336, 'centralizer': '4.f1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.i1', '14.a1', '14.e1'], 'contains': ['56.c1', '84.c1'], 'core': '28.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9666, 309, 9836, 9750], 'generators': [1, 348, 224, 8], 'label': '672.1215.28.c1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.c1', 'normal_contained_in': ['4.i1', '14.a1'], 'normal_contains': ['56.c1', '84.c1'], 'normalizer': '1.a1', 'old_label': '28.c1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438782
    {'ambient': '672.1215', 'aut_centralizer_order': 48, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2016, 'centralizer': '28.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '14.b1', '14.d1'], 'contains': ['56.a1', '56.d1', '56.e1', '84.d1'], 'core': '56.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [3447, -1, 5447, -1], 'generators': [337, 2, 224, 8], 'label': '672.1215.28.d1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.d1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438783
    {'ambient': '672.1215', 'aut_centralizer_order': 24, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1008, 'centralizer': '28.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.c1', '14.c1', '14.d1'], 'contains': ['56.a1', '56.e1', '84.e1'], 'core': '56.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [4552, -1, 6118, -1], 'generators': [3, 336, 224, 8], 'label': '672.1215.28.e1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.e1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438784
    {'ambient': '672.1215', 'aut_centralizer_order': 48, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2016, 'centralizer': '28.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.e1', '14.b1', '14.d1', '14.e1'], 'contains': ['56.c1', '56.d1', '56.e1', '84.f1'], 'core': '56.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [6237, -1, 6568, -1], 'generators': [1, 2, 224, 8], 'label': '672.1215.28.f1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.f1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438785
    {'ambient': '672.1215', 'aut_centralizer_order': 144, 'aut_label': '28.g1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1008, 'centralizer': '28.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1', '14.b1'], 'contains': ['56.b1', '56.d1', '84.g1'], 'core': '56.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [2545, -1, 2527, -1], 'generators': [2, 4, 224, 8], 'label': '672.1215.28.g1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.g1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438786
    {'ambient': '672.1215', 'aut_centralizer_order': 48, 'aut_label': '28.h1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1008, 'centralizer': '28.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.g1', '14.b1', '14.c1'], 'contains': ['56.b1', '56.e1', '84.h1'], 'core': '56.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [4096, -1, 5069, -1], 'generators': [3, 4, 224, 8], 'label': '672.1215.28.h1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.h1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438787
    {'ambient': '672.1215', 'aut_centralizer_order': 24, 'aut_label': '28.i1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1008, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.h1', '14.c1', '14.d1', '14.e1'], 'contains': ['56.c1', '56.e1', '84.i1'], 'core': '56.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [7751, -1, 8188, -1], 'generators': [1, 434, 224, 8], 'label': '672.1215.28.i1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.i1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438788
    {'ambient': '672.1215', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4032.dm', 'aut_weyl_index': 4, 'centralizer': '112.a1', 'complements': ['336.b1', '336.c1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.e1', '4.h1', '4.i1', '6.e1', '14.e1'], 'core': '2.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [8492, 3817, 5552, 6302], 'generators': [1, 96, 340, 224, 2, 8], 'label': '672.1215.2.e1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.e1', '4.h1', '4.i1', '6.e1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 110438789
    {'ambient': '672.1215', 'aut_centralizer_order': 1344, 'aut_label': '32.a1', 'aut_quo_index': 10, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.d1', 'complements': ['21.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1'], 'contains': ['96.a1', '224.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [353, 6630, 2750, 3809], 'generators': [224, 96], 'label': '672.1215.32.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1'], 'normal_contains': ['96.a1', '224.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '224.186', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.13', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438790
    {'ambient': '672.1215', 'aut_centralizer_order': 336, 'aut_label': '42.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 336, 'centralizer': '8.c1', 'complements': ['16.c1'], 'conjugacy_class_count': 1, 'contained_in': ['6.d1', '14.a1', '21.a1'], 'contains': ['84.a1', '84.b1', '84.c1'], 'core': '42.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9154, 626, 9518, 9269], 'generators': [1, 4, 336], 'label': '672.1215.42.a1', 'mobius_quo': 0, 'mobius_sub': -7, 'normal_closure': '42.a1', 'normal_contained_in': ['6.d1', '14.a1'], 'normal_contains': ['84.a1', '84.b1', '84.c1'], 'normalizer': '1.a1', 'old_label': '42.a1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '21.2', 'quotient_action_kernel_order': 21, 'quotient_fusion': None, 'short_label': '42.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438791
    {'ambient': '672.1215', 'aut_centralizer_order': 48, 'aut_label': '42.b1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1008, 'centralizer': '56.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.a1', '14.b1', '21.a1'], 'contains': ['84.a1', '84.d1', '84.f1', '84.g1', '84.h1'], 'core': '84.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [5714, -1, 5765, -1], 'generators': [1, 2, 4], 'label': '672.1215.42.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '42.b1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438792
    {'ambient': '672.1215', 'aut_centralizer_order': 24, 'aut_label': '42.c1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '32.49', 'aut_weyl_index': 504, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.b1', '14.c1', '21.a1'], 'contains': ['84.a1', '84.e1', '84.h1', '84.i1'], 'core': '84.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [7217, -1, 7810, -1], 'generators': [3, 4, 336], 'label': '672.1215.42.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '42.c1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438793
    {'ambient': '672.1215', 'aut_centralizer_order': 24, 'aut_label': '42.d1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1008, 'centralizer': '56.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.c1', '14.d1', '21.a1'], 'contains': ['84.b1', '84.d1', '84.e1', '84.f1', '84.i1'], 'core': '84.b1', 'coset_action_label': None, 'count': 42, 'diagramx': [8534, -1, 8506, -1], 'generators': [1, 2, 336], 'label': '672.1215.42.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '42.d1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438794
    {'ambient': '672.1215', 'aut_centralizer_order': 24, 'aut_label': '42.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '48.48', 'aut_weyl_index': 336, 'centralizer': '56.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.e1', '14.e1', '21.a1'], 'contains': ['84.c1', '84.f1', '84.i1'], 'core': '84.c1', 'coset_action_label': None, 'count': 14, 'diagramx': [9618, -1, 9201, -1], 'generators': [1, 2, 340], 'label': '672.1215.42.e1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '42.e1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110438795
    {'ambient': '672.1215', 'aut_centralizer_order': 2688, 'aut_label': '48.a1', 'aut_quo_index': 1680, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1', '24.e1'], 'contains': ['96.a1', '336.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1716, 5808, 3435, 4178], 'generators': [8, 96], 'label': '672.1215.48.a1', 'mobius_quo': 1, 'mobius_sub': -64, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1', '24.e1'], 'normal_contains': ['96.a1', '336.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.15', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438796
    {'ambient': '672.1215', 'aut_centralizer_order': 448, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.b1', '24.a1'], 'contains': ['96.a1', '336.b1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [775, -1, 2993, -1], 'generators': [337, 96], 'label': '672.1215.48.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '48.b1', 'projective_image': '672.1215', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438797
    {'ambient': '672.1215', 'aut_centralizer_order': 96, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '42.1', 'aut_weyl_index': 384, 'centralizer': '28.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '24.b1'], 'contains': ['96.a1', '336.c1'], 'core': '96.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [181, -1, 2317, -1], 'generators': [2, 96], 'label': '672.1215.48.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '48.c1', 'projective_image': '672.1215', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 110438798
    {'ambient': '672.1215', 'aut_centralizer_order': 1344, 'aut_label': '56.a1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '28.a1', '28.b1', '28.d1', '28.e1'], 'contains': ['112.a1', '112.b1', '168.a1'], 'core': '56.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2967, 3220, 5582, 6545], 'generators': [337, 8, 224], 'label': '672.1215.56.a1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.a1', 'normal_contained_in': ['8.a1', '28.a1', '28.b1'], 'normal_contains': ['112.a1', '168.a1'], 'normalizer': '1.a1', 'old_label': '56.a1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.3', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438799
    {'ambient': '672.1215', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8064.dl', 'aut_weyl_index': 2, 'centralizer': '112.a1', 'complements': ['224.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1', '21.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8441, 5331, 4970, 5598], 'generators': [1, 96, 4, 336, 2, 8], 'label': '672.1215.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '336.225', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 110438800
    {'ambient': '672.1215', 'aut_centralizer_order': 4032, 'aut_label': '56.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '28.a1', '28.g1', '28.h1'], 'contains': ['112.a1', '168.b1'], 'core': '56.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3311, 4233, 4315, 4546], 'generators': [4, 224, 8], 'label': '672.1215.56.b1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.b1', 'normal_contained_in': ['8.c1', '28.a1'], 'normal_contains': ['112.a1', '168.b1'], 'normalizer': '1.a1', 'old_label': '56.b1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438801
    {'ambient': '672.1215', 'aut_centralizer_order': 1344, 'aut_label': '56.c1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.d1', '28.a1', '28.b1', '28.c1', '28.f1', '28.i1'], 'contains': ['112.a1', '168.c1'], 'core': '56.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [6352, 1905, 7018, 7584], 'generators': [1, 224, 8], 'label': '672.1215.56.c1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.c1', 'normal_contained_in': ['8.d1', '28.a1', '28.b1', '28.c1'], 'normal_contains': ['112.a1', '168.c1'], 'normalizer': '1.a1', 'old_label': '56.c1', 'projective_image': '112.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.3', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438802
    {'ambient': '672.1215', 'aut_centralizer_order': 288, 'aut_label': '56.d1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '14.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '28.d1', '28.f1', '28.g1'], 'contains': ['112.a1', '112.c1', '168.d1'], 'core': '112.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [1376, -1, 4006, -1], 'generators': [2, 8, 224], 'label': '672.1215.56.d1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.d1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438803
    {'ambient': '672.1215', 'aut_centralizer_order': 96, 'aut_label': '56.e1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '14.d1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.e1', '28.d1', '28.e1', '28.f1', '28.h1', '28.i1'], 'contains': ['112.a1', '168.e1'], 'core': '112.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [4412, -1, 5075, -1], 'generators': [3, 224, 8], 'label': '672.1215.56.e1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.e1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438804
    {'ambient': '672.1215', 'aut_centralizer_order': 1344, 'aut_label': '84.a1', 'aut_quo_index': 2, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['12.b1', '28.a1', '42.a1', '42.b1', '42.c1'], 'contains': ['168.a1', '168.b1', '168.c1'], 'core': '84.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5754, 2825, 6709, 7115], 'generators': [1, 4], 'label': '672.1215.84.a1', 'mobius_quo': 0, 'mobius_sub': 14, 'normal_closure': '84.a1', 'normal_contained_in': ['12.b1', '28.a1', '42.a1'], 'normal_contains': ['168.a1', '168.b1', '168.c1'], 'normalizer': '1.a1', 'old_label': '84.a1', 'projective_image': '336.225', 'quotient_action_image': '4.2', 'quotient_action_kernel': '21.2', 'quotient_action_kernel_order': 21, 'quotient_fusion': None, 'short_label': '84.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438805
    {'ambient': '672.1215', 'aut_centralizer_order': 672, 'aut_label': '84.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2016, 'centralizer': '4.g1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['12.d1', '28.b1', '42.a1', '42.d1'], 'contains': ['168.a1', '168.c1'], 'core': '84.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7581, 1499, 8257, 7920], 'generators': [1, 336], 'label': '672.1215.84.b1', 'mobius_quo': 0, 'mobius_sub': 14, 'normal_closure': '84.b1', 'normal_contained_in': ['12.d1', '28.b1', '42.a1'], 'normal_contains': ['168.a1', '168.c1'], 'normalizer': '1.a1', 'old_label': '84.b1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438806
    {'ambient': '672.1215', 'aut_centralizer_order': 672, 'aut_label': '84.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 672, 'centralizer': '4.f1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.i1', '28.c1', '42.a1', '42.e1'], 'contains': ['168.c1'], 'core': '84.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9819, 392, 9201, 8745], 'generators': [1, 340], 'label': '672.1215.84.c1', 'mobius_quo': 0, 'mobius_sub': 14, 'normal_closure': '84.c1', 'normal_contained_in': ['12.i1', '28.c1', '42.a1'], 'normal_contains': ['168.c1'], 'normalizer': '1.a1', 'old_label': '84.c1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438807
    {'ambient': '672.1215', 'aut_centralizer_order': 96, 'aut_label': '84.d1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '28.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.a1', '28.d1', '42.b1', '42.d1'], 'contains': ['168.a1', '168.d1', '168.e1'], 'core': '168.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [3735, -1, 5295, -1], 'generators': [337, 2], 'label': '672.1215.84.d1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.d1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438808
    {'ambient': '672.1215', 'aut_centralizer_order': 48, 'aut_label': '84.e1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2016, 'centralizer': '28.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.c1', '28.e1', '42.c1', '42.d1'], 'contains': ['168.a1', '168.e1'], 'core': '168.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [5341, -1, 6333, -1], 'generators': [3, 336], 'label': '672.1215.84.e1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.e1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438809
    {'ambient': '672.1215', 'aut_centralizer_order': 96, 'aut_label': '84.f1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '28.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.e1', '28.f1', '42.b1', '42.d1', '42.e1'], 'contains': ['168.c1', '168.d1', '168.e1'], 'core': '168.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [7897, -1, 5958, -1], 'generators': [1, 2], 'label': '672.1215.84.f1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.f1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438810
    {'ambient': '672.1215', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '336.216', 'aut_weyl_index': 48, 'centralizer': '56.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.a1', '8.b1', '8.e1', '12.a1', '28.d1'], 'core': '4.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2552, 7705, 1561, 1756], 'generators': [337, 224, 8, 2, 96], 'label': '672.1215.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.a1', '8.b1', '8.e1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '112.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110438811
    {'ambient': '672.1215', 'aut_centralizer_order': 288, 'aut_label': '84.g1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2016, 'centralizer': '28.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1', '28.g1', '42.b1'], 'contains': ['168.b1', '168.d1'], 'core': '168.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [2351, -1, 3719, -1], 'generators': [2, 4], 'label': '672.1215.84.g1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.g1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438813
    {'ambient': '672.1215', 'aut_centralizer_order': 48, 'aut_label': '84.i1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2016, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.h1', '28.i1', '42.c1', '42.d1', '42.e1'], 'contains': ['168.c1', '168.e1'], 'core': '168.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [8619, -1, 7810, -1], 'generators': [1, 442], 'label': '672.1215.84.i1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.i1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438814
    {'ambient': '672.1215', 'aut_centralizer_order': 2688, 'aut_label': '96.a1', 'aut_quo_index': 10, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.d1', 'complements': ['7.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.c1'], 'contains': ['672.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [302, 6759, 2993, 4178], 'generators': [96], 'label': '672.1215.96.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1'], 'normal_contains': ['672.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '672.1215', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.47', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438815
    {'ambient': '672.1215', 'aut_centralizer_order': 8064, 'aut_label': '112.a1', 'aut_quo_index': 112, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '56.a1', '56.b1', '56.c1', '56.d1', '56.e1'], 'contains': ['224.a1', '336.a1'], 'core': '112.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1832, 4436, 4373, 4827], 'generators': [8, 224], 'label': '672.1215.112.a1', 'mobius_quo': 1, 'mobius_sub': -448, 'normal_closure': '112.a1', 'normal_contained_in': ['16.a1', '56.a1', '56.b1', '56.c1'], 'normal_contains': ['224.a1', '336.a1'], 'normalizer': '1.a1', 'old_label': '112.a1', 'projective_image': '112.42', 'quotient_action_image': '1.1', 'quotient_action_kernel': '112.42', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '112.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110438816
    {'ambient': '672.1215', 'aut_centralizer_order': 1344, 'aut_label': '112.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.b1', '56.a1'], 'contains': ['224.a1', '336.b1'], 'core': '224.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [700, -1, 3932, -1], 'generators': [337, 224], 'label': '672.1215.112.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '112.b1', 'projective_image': '224.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110438817
    {'ambient': '672.1215', 'aut_centralizer_order': 288, 'aut_label': '112.c1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '14.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '56.d1'], 'contains': ['224.a1', '336.c1'], 'core': '224.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [296, -1, 3214, -1], 'generators': [2, 224], 'label': '672.1215.112.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1', 'old_label': '112.c1', 'projective_image': '224.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110438818
    {'ambient': '672.1215', 'aut_centralizer_order': 2688, 'aut_label': '168.a1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['24.a1', '56.a1', '84.a1', '84.b1', '84.d1', '84.e1'], 'contains': ['336.a1', '336.b1'], 'core': '168.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3007, 3475, 5439, 6545], 'generators': [337, 8], 'label': '672.1215.168.a1', 'mobius_quo': 0, 'mobius_sub': -56, 'normal_closure': '168.a1', 'normal_contained_in': ['24.a1', '56.a1', '84.a1', '84.b1'], 'normal_contains': ['336.a1'], 'normalizer': '1.a1', 'old_label': '168.a1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '84.12', 'quotient_action_kernel_order': 84, 'quotient_fusion': None, 'short_label': '168.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438819
    {'ambient': '672.1215', 'aut_centralizer_order': 8064, 'aut_label': '168.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '56.b1', '84.a1', '84.g1', '84.h1'], 'contains': ['336.a1'], 'core': '168.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3526, 4083, 4175, 4525], 'generators': [4], 'label': '672.1215.168.b1', 'mobius_quo': 0, 'mobius_sub': -56, 'normal_closure': '168.b1', 'normal_contained_in': ['24.c1', '56.b1', '84.a1'], 'normal_contains': ['336.a1'], 'normalizer': '1.a1', 'old_label': '168.b1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '84.15', 'quotient_action_kernel_order': 84, 'quotient_fusion': None, 'short_label': '168.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438820
    {'ambient': '672.1215', 'aut_centralizer_order': 2688, 'aut_label': '168.c1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['24.d1', '56.c1', '84.a1', '84.b1', '84.c1', '84.f1', '84.i1'], 'contains': ['336.a1'], 'core': '168.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [7523, 2133, 6863, 7350], 'generators': [1], 'label': '672.1215.168.c1', 'mobius_quo': 0, 'mobius_sub': -56, 'normal_closure': '168.c1', 'normal_contained_in': ['24.d1', '56.c1', '84.a1', '84.b1', '84.c1'], 'normal_contains': ['336.a1'], 'normalizer': '1.a1', 'old_label': '168.c1', 'projective_image': '336.225', 'quotient_action_image': '2.1', 'quotient_action_kernel': '84.12', 'quotient_action_kernel_order': 84, 'quotient_fusion': None, 'short_label': '168.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438821
    {'ambient': '672.1215', 'aut_centralizer_order': 112, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '48.52', 'aut_weyl_index': 336, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.b1', '2.d1'], 'contains': ['8.a1', '8.c1', '8.d1', '12.b1', '28.a1'], 'core': '4.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5001, 3002, 3358, 5569], 'generators': [1, 224, 96, 4, 8], 'label': '672.1215.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.b1', '2.d1'], 'normal_contains': ['8.a1', '8.c1', '8.d1', '12.b1', '28.a1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '112.42', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110438822
    {'ambient': '672.1215', 'aut_centralizer_order': 576, 'aut_label': '168.d1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '14.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.b1', '56.d1', '84.d1', '84.f1', '84.g1'], 'contains': ['336.a1', '336.c1'], 'core': '336.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [2236, -1, 3719, -1], 'generators': [2, 8], 'label': '672.1215.168.d1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '168.d1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438823
    {'ambient': '672.1215', 'aut_centralizer_order': 192, 'aut_label': '168.e1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '14.d1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.e1', '56.e1', '84.d1', '84.e1', '84.f1', '84.h1', '84.i1'], 'contains': ['336.a1'], 'core': '336.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [5848, -1, 5077, -1], 'generators': [3], 'label': '672.1215.168.e1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '168.e1', 'projective_image': '336.225', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110438824
    {'ambient': '672.1215', 'aut_centralizer_order': 8064, 'aut_label': '224.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '1.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '112.a1', '112.b1', '112.c1'], 'contains': ['672.a1'], 'core': '224.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [418, 6110, 3650, 4505], 'generators': [224], 'label': '672.1215.224.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '224.a1', 'normal_contained_in': ['32.a1', '112.a1'], 'normal_contains': ['672.a1'], 'normalizer': '1.a1', 'old_label': '224.a1', 'projective_image': '224.186', 'quotient_action_image': '1.1', 'quotient_action_kernel': '224.186', 'quotient_action_kernel_order': 224, 'quotient_fusion': None, 'short_label': '224.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110438825
    {'ambient': '672.1215', 'aut_centralizer_order': 16128, 'aut_label': '336.a1', 'aut_quo_index': 112, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '112.a1', '168.a1', '168.b1', '168.c1', '168.d1', '168.e1'], 'contains': ['672.a1'], 'core': '336.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2727, 4322, 4197, 4819], 'generators': [8], 'label': '672.1215.336.a1', 'mobius_quo': -1, 'mobius_sub': 448, 'normal_closure': '336.a1', 'normal_contained_in': ['48.a1', '112.a1', '168.a1', '168.b1', '168.c1'], 'normal_contains': ['672.a1'], 'normalizer': '1.a1', 'old_label': '336.a1', 'projective_image': '336.225', 'quotient_action_image': '1.1', 'quotient_action_kernel': '336.225', 'quotient_action_kernel_order': 336, 'quotient_fusion': None, 'short_label': '336.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110438826
    {'ambient': '672.1215', 'aut_centralizer_order': 2688, 'aut_label': '336.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16128, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['48.b1', '112.b1', '168.a1'], 'contains': ['672.a1'], 'core': '672.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [815, -1, 3907, -1], 'generators': [337], 'label': '672.1215.336.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '168.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '336.b1', 'projective_image': '672.1215', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110438827
    {'ambient': '672.1215', 'aut_centralizer_order': 576, 'aut_label': '336.c1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16128, 'centralizer': '14.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.c1', '112.c1', '168.d1'], 'contains': ['672.a1'], 'core': '672.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [244, -1, 3272, -1], 'generators': [2], 'label': '672.1215.336.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1', 'old_label': '336.c1', 'projective_image': '672.1215', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110438828
    {'ambient': '672.1215', 'aut_centralizer_order': None, 'aut_label': '672.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '224.a1', '336.a1', '336.b1', '336.c1'], 'contains': [], 'core': '672.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [418, 6110, 3650, 4505], 'generators': [], 'label': '672.1215.672.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '672.a1', 'normal_contained_in': ['96.a1', '224.a1', '336.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '672.a1', 'projective_image': '672.1215', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}