Abstract group data - 528.41

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '24.9', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 110, 'aut_gen_orders': [2, 2, 2, 2, 2, 10, 11], 'aut_gens': [[1, 2, 4], [3, 2, 436], [265, 2, 436], [1, 2, 438], [1, 2, 172], [1, 2, 260], [1, 2, 340], [49, 2, 4]], 'aut_group': None, 'aut_hash': 2440700417464387638, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3520, 'aut_permdeg': 50, 'aut_perms': [7603388260560293601249055475692531897323226107948198292397312495, 5579398585731067816422482964535358107562496462813445352856225500, 202400787952586245411168378681899705449862765534082913191412429, 202400717750050565770771359391918623024711166574525567911412429, 202400688990912252296876725755243065046066074274632287796186063, 344954127997840854803423963770005418315715797914304630762019298, 22975526565046682342772266098280531678590028709579317544045342858], 'aut_phi_ratio': 22.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 22, 2, 1], [3, 1, 2, 1], [4, 2, 2, 1], [4, 22, 2, 1], [6, 1, 2, 3], [6, 22, 4, 1], [11, 2, 5, 1], [12, 2, 4, 1], [12, 22, 4, 1], [22, 2, 5, 3], [33, 2, 10, 1], [44, 2, 20, 1], [66, 2, 10, 3], [132, 2, 40, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{11}:C_5.C_2^6', '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': 110, 'autcentquo_group': '110.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 110, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 22, 2], [3, 1, 2], [4, 2, 2], [4, 22, 2], [6, 1, 6], [6, 22, 4], [11, 2, 5], [12, 2, 4], [12, 22, 4], [22, 2, 15], [33, 2, 10], [44, 2, 20], [66, 2, 30], [132, 2, 40]], 'center_label': '12.5', 'center_order': 12, 'central_product': True, 'central_quotient': '44.3', 'commutator_count': 1, 'commutator_label': '22.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 41, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['176.13', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 22, 1, 2], [3, 1, 2, 1], [4, 2, 2, 1], [4, 22, 2, 1], [6, 1, 2, 3], [6, 22, 2, 2], [11, 2, 5, 1], [12, 2, 4, 1], [12, 22, 4, 1], [22, 2, 5, 3], [33, 2, 10, 1], [44, 2, 20, 1], [66, 2, 10, 3], [132, 2, 40, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24, 'exponent': 132, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 3, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '132.7', 'hash': 41, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 22, 'inner_gen_orders': [2, 1, 22], 'inner_gens': [[1, 2, 438], [1, 2, 4], [99, 2, 4]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 44, 'inner_split': True, 'inner_tex': 'D_{22}', 'inner_used': [1, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 24], [2, 126]], 'label': '528.41', 'linC_count': 640, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 16, 'linQ_degree_count': 60, 'linQ_dim': 16, 'linQ_dim_count': 60, 'linR_count': 40, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D22:C12', 'ngens': 6, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 24, 'number_characteristic_subgroups': 30, 'number_conjugacy_classes': 150, 'number_divisions': 26, 'number_normal_subgroups': 34, 'number_subgroup_autclasses': 60, 'number_subgroup_classes': 68, 'number_subgroups': 392, 'old_label': None, 'order': 528, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 47], [3, 2], [4, 48], [6, 94], [11, 10], [12, 96], [22, 30], [33, 20], [44, 40], [66, 60], [132, 80]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 10, 'outer_gen_orders': [2, 2, 2, 10], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[3, 2, 436], [265, 2, 436], [1, 2, 172], [3, 2, 164]], 'outer_group': '80.52', 'outer_hash': 52, 'outer_nilpotent': True, 'outer_order': 80, 'outer_permdeg': 13, 'outer_perms': [720, 479001600, 3628800, 40353], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3\\times C_{10}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 22, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 8], [4, 4], [10, 2], [20, 5], [40, 3]], 'representations': {'PC': {'code': 204607384722946170815452000019, 'gens': [1, 2, 3], 'pres': [6, -2, -2, 2, -2, -3, -11, 7886, 50, 8259, 69, 4804, 118, 17285]}, 'GLZN': {'d': 2, 'p': 115, 'gens': [16804976, 142356546, 36501024, 93510556, 138399716, 125310427]}, 'Perm': {'d': 22, 'gens': [87657660847, 53645489293227955200, 376610217984000, 107047688359772160000, 186810624000, 4364893]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{22}:C_{12}', 'transitive_degree': 264, '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: 138613155
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 41, 'group_order': 528, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 138613217
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 41, 'group_order': 528, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 266, 'size': 1}
  • id: 138613228
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 41, 'group_order': 528, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 2, 'size': 1}
  • id: 138613239
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 41, 'group_order': 528, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4], 'representative': 264, 'size': 1}
  • id: 138613250
    {'aut_label': '2D', 'centralizer': '22.b1.a1', 'counter': 5, 'group_counter': 41, 'group_order': 528, 'label': '2D', 'order': 2, 'powers': [1, 5, 5, 5], 'representative': 193, 'size': 22}
  • id: 138613261
    {'aut_label': '2D', 'centralizer': '22.b1.a1', 'counter': 6, 'group_counter': 41, 'group_order': 528, 'label': '2E', 'order': 2, 'powers': [1, 6, 6, 6], 'representative': 361, 'size': 22}
  • id: 138613272
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 41, 'group_order': 528, 'label': '3A1', 'order': 3, 'powers': [8, 1, 8, 8], 'representative': 176, 'size': 1}
  • id: 138613283
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 41, 'group_order': 528, 'label': '3A-1', 'order': 3, 'powers': [7, 1, 7, 7], 'representative': 352, 'size': 1}
  • id: 138613294
    {'aut_label': '4A1', 'centralizer': '2.b1.a1', 'counter': 9, 'group_counter': 41, 'group_order': 528, 'label': '4A1', 'order': 4, 'powers': [4, 10, 9, 10], 'representative': 132, 'size': 2}
  • id: 138613156
    {'aut_label': '4A1', 'centralizer': '2.b1.a1', 'counter': 10, 'group_counter': 41, 'group_order': 528, 'label': '4A-1', 'order': 4, 'powers': [4, 9, 10, 9], 'representative': 396, 'size': 2}
  • id: 138613167
    {'aut_label': '4B1', 'centralizer': '22.c1.a1', 'counter': 11, 'group_counter': 41, 'group_order': 528, 'label': '4B1', 'order': 4, 'powers': [2, 12, 11, 12], 'representative': 447, 'size': 22}
  • id: 138613178
    {'aut_label': '4B1', 'centralizer': '22.c1.a1', 'counter': 12, 'group_counter': 41, 'group_order': 528, 'label': '4B-1', 'order': 4, 'powers': [2, 11, 12, 11], 'representative': 181, 'size': 22}
  • id: 138613189
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 41, 'group_order': 528, 'label': '6A1', 'order': 6, 'powers': [8, 2, 14, 14], 'representative': 442, 'size': 1}
  • id: 138613200
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 41, 'group_order': 528, 'label': '6A-1', 'order': 6, 'powers': [7, 2, 13, 13], 'representative': 90, 'size': 1}
  • id: 138613211
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 41, 'group_order': 528, 'label': '6B1', 'order': 6, 'powers': [8, 3, 16, 16], 'representative': 178, 'size': 1}
  • id: 138613213
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 41, 'group_order': 528, 'label': '6B-1', 'order': 6, 'powers': [7, 3, 15, 15], 'representative': 354, 'size': 1}
  • id: 138613214
    {'aut_label': '6C1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 41, 'group_order': 528, 'label': '6C1', 'order': 6, 'powers': [7, 4, 18, 18], 'representative': 88, 'size': 1}
  • id: 138613215
    {'aut_label': '6C1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 41, 'group_order': 528, 'label': '6C-1', 'order': 6, 'powers': [8, 4, 17, 17], 'representative': 440, 'size': 1}
  • id: 138613216
    {'aut_label': '6D1', 'centralizer': '22.b1.a1', 'counter': 19, 'group_counter': 41, 'group_order': 528, 'label': '6D1', 'order': 6, 'powers': [7, 5, 20, 20], 'representative': 17, 'size': 22}
  • id: 138613218
    {'aut_label': '6D1', 'centralizer': '22.b1.a1', 'counter': 20, 'group_counter': 41, 'group_order': 528, 'label': '6D-1', 'order': 6, 'powers': [8, 5, 19, 19], 'representative': 33, 'size': 22}
  • id: 138613219
    {'aut_label': '6D1', 'centralizer': '22.b1.a1', 'counter': 21, 'group_counter': 41, 'group_order': 528, 'label': '6E1', 'order': 6, 'powers': [8, 6, 22, 22], 'representative': 9, 'size': 22}
  • id: 138613220
    {'aut_label': '6D1', 'centralizer': '22.b1.a1', 'counter': 22, 'group_counter': 41, 'group_order': 528, 'label': '6E-1', 'order': 6, 'powers': [7, 6, 21, 21], 'representative': 41, 'size': 22}
  • id: 138613221
    {'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 23, 'group_counter': 41, 'group_order': 528, 'label': '11A1', 'order': 11, 'powers': [24, 25, 27, 1], 'representative': 96, 'size': 2}
  • id: 138613222
    {'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 24, 'group_counter': 41, 'group_order': 528, 'label': '11A2', 'order': 11, 'powers': [26, 27, 23, 1], 'representative': 192, 'size': 2}
  • id: 138613223
    {'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 25, 'group_counter': 41, 'group_order': 528, 'label': '11A3', 'order': 11, 'powers': [27, 24, 26, 1], 'representative': 288, 'size': 2}
  • id: 138613224
    {'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 26, 'group_counter': 41, 'group_order': 528, 'label': '11A4', 'order': 11, 'powers': [25, 23, 24, 1], 'representative': 384, 'size': 2}
  • id: 138613225
    {'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 27, 'group_counter': 41, 'group_order': 528, 'label': '11A5', 'order': 11, 'powers': [23, 26, 25, 1], 'representative': 480, 'size': 2}
  • id: 138613226
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 28, 'group_counter': 41, 'group_order': 528, 'label': '12A1', 'order': 12, 'powers': [17, 9, 30, 29], 'representative': 44, 'size': 2}
  • id: 138613227
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 29, 'group_counter': 41, 'group_order': 528, 'label': '12A-1', 'order': 12, 'powers': [18, 10, 31, 28], 'representative': 484, 'size': 2}
  • id: 138613229
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 30, 'group_counter': 41, 'group_order': 528, 'label': '12A5', 'order': 12, 'powers': [18, 9, 28, 31], 'representative': 220, 'size': 2}
  • id: 138613230
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 31, 'group_counter': 41, 'group_order': 528, 'label': '12A-5', 'order': 12, 'powers': [17, 10, 29, 30], 'representative': 308, 'size': 2}
  • id: 138613231
    {'aut_label': '12B1', 'centralizer': '22.c1.a1', 'counter': 32, 'group_counter': 41, 'group_order': 528, 'label': '12B1', 'order': 12, 'powers': [13, 11, 34, 33], 'representative': 5, 'size': 22}
  • id: 138613232
    {'aut_label': '12B1', 'centralizer': '22.c1.a1', 'counter': 33, 'group_counter': 41, 'group_order': 528, 'label': '12B-1', 'order': 12, 'powers': [14, 12, 35, 32], 'representative': 45, 'size': 22}
  • id: 138613233
    {'aut_label': '12B1', 'centralizer': '22.c1.a1', 'counter': 34, 'group_counter': 41, 'group_order': 528, 'label': '12B5', 'order': 12, 'powers': [14, 11, 32, 35], 'representative': 21, 'size': 22}
  • id: 138613234
    {'aut_label': '12B1', 'centralizer': '22.c1.a1', 'counter': 35, 'group_counter': 41, 'group_order': 528, 'label': '12B-5', 'order': 12, 'powers': [13, 12, 33, 34], 'representative': 29, 'size': 22}
  • id: 138613235
    {'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 36, 'group_counter': 41, 'group_order': 528, 'label': '22A1', 'order': 22, 'powers': [23, 37, 38, 3], 'representative': 50, 'size': 2}
  • id: 138613236
    {'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 37, 'group_counter': 41, 'group_order': 528, 'label': '22A3', 'order': 22, 'powers': [25, 40, 39, 3], 'representative': 146, 'size': 2}
  • id: 138613237
    {'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 38, 'group_counter': 41, 'group_order': 528, 'label': '22A5', 'order': 22, 'powers': [27, 39, 37, 3], 'representative': 242, 'size': 2}
  • id: 138613238
    {'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 39, 'group_counter': 41, 'group_order': 528, 'label': '22A7', 'order': 22, 'powers': [26, 36, 40, 3], 'representative': 338, 'size': 2}
  • id: 138613240
    {'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 40, 'group_counter': 41, 'group_order': 528, 'label': '22A9', 'order': 22, 'powers': [24, 38, 36, 3], 'representative': 434, 'size': 2}
  • id: 138613241
    {'aut_label': '22B1', 'centralizer': '2.b1.a1', 'counter': 41, 'group_counter': 41, 'group_order': 528, 'label': '22B1', 'order': 22, 'powers': [27, 42, 43, 2], 'representative': 26, 'size': 2}
  • id: 138613242
    {'aut_label': '22B1', 'centralizer': '2.b1.a1', 'counter': 42, 'group_counter': 41, 'group_order': 528, 'label': '22B3', 'order': 22, 'powers': [26, 45, 44, 2], 'representative': 74, 'size': 2}
  • id: 138613243
    {'aut_label': '22B1', 'centralizer': '2.b1.a1', 'counter': 43, 'group_counter': 41, 'group_order': 528, 'label': '22B5', 'order': 22, 'powers': [25, 44, 42, 2], 'representative': 122, 'size': 2}
  • id: 138613244
    {'aut_label': '22B1', 'centralizer': '2.b1.a1', 'counter': 44, 'group_counter': 41, 'group_order': 528, 'label': '22B7', 'order': 22, 'powers': [24, 41, 45, 2], 'representative': 170, 'size': 2}
  • id: 138613245
    {'aut_label': '22B1', 'centralizer': '2.b1.a1', 'counter': 45, 'group_counter': 41, 'group_order': 528, 'label': '22B9', 'order': 22, 'powers': [23, 43, 41, 2], 'representative': 218, 'size': 2}
  • id: 138613246
    {'aut_label': '22C1', 'centralizer': '2.b1.a1', 'counter': 46, 'group_counter': 41, 'group_order': 528, 'label': '22C1', 'order': 22, 'powers': [27, 47, 48, 4], 'representative': 24, 'size': 2}
  • id: 138613247
    {'aut_label': '22C1', 'centralizer': '2.b1.a1', 'counter': 47, 'group_counter': 41, 'group_order': 528, 'label': '22C3', 'order': 22, 'powers': [26, 50, 49, 4], 'representative': 72, 'size': 2}
  • id: 138613248
    {'aut_label': '22C1', 'centralizer': '2.b1.a1', 'counter': 48, 'group_counter': 41, 'group_order': 528, 'label': '22C5', 'order': 22, 'powers': [25, 49, 47, 4], 'representative': 120, 'size': 2}
  • id: 138613249
    {'aut_label': '22C1', 'centralizer': '2.b1.a1', 'counter': 49, 'group_counter': 41, 'group_order': 528, 'label': '22C7', 'order': 22, 'powers': [24, 46, 50, 4], 'representative': 168, 'size': 2}
  • id: 138613251
    {'aut_label': '22C1', 'centralizer': '2.b1.a1', 'counter': 50, 'group_counter': 41, 'group_order': 528, 'label': '22C9', 'order': 22, 'powers': [23, 48, 46, 4], 'representative': 216, 'size': 2}
  • id: 138613252
    {'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 51, 'group_counter': 41, 'group_order': 528, 'label': '33A1', 'order': 33, 'powers': [53, 23, 57, 8], 'representative': 32, 'size': 2}
  • id: 138613253
    {'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 52, 'group_counter': 41, 'group_order': 528, 'label': '33A-1', 'order': 33, 'powers': [54, 23, 58, 7], 'representative': 496, 'size': 2}
  • id: 138613254
    {'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 53, 'group_counter': 41, 'group_order': 528, 'label': '33A2', 'order': 33, 'powers': [55, 24, 51, 7], 'representative': 64, 'size': 2}
  • id: 138613255
    {'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 54, 'group_counter': 41, 'group_order': 528, 'label': '33A-2', 'order': 33, 'powers': [56, 24, 52, 8], 'representative': 464, 'size': 2}
  • id: 138613256
    {'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 55, 'group_counter': 41, 'group_order': 528, 'label': '33A4', 'order': 33, 'powers': [59, 26, 53, 8], 'representative': 128, 'size': 2}
  • id: 138613257
    {'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 56, 'group_counter': 41, 'group_order': 528, 'label': '33A-4', 'order': 33, 'powers': [60, 26, 54, 7], 'representative': 400, 'size': 2}
  • id: 138613258
    {'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 57, 'group_counter': 41, 'group_order': 528, 'label': '33A5', 'order': 33, 'powers': [51, 27, 60, 7], 'representative': 160, 'size': 2}
  • id: 138613259
    {'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 58, 'group_counter': 41, 'group_order': 528, 'label': '33A-5', 'order': 33, 'powers': [52, 27, 59, 8], 'representative': 368, 'size': 2}
  • id: 138613260
    {'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 59, 'group_counter': 41, 'group_order': 528, 'label': '33A8', 'order': 33, 'powers': [58, 25, 55, 7], 'representative': 256, 'size': 2}
  • id: 138613262
    {'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 60, 'group_counter': 41, 'group_order': 528, 'label': '33A-8', 'order': 33, 'powers': [57, 25, 56, 8], 'representative': 272, 'size': 2}
  • id: 138613263
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 61, 'group_counter': 41, 'group_order': 528, 'label': '44A1', 'order': 44, 'powers': [46, 63, 65, 9], 'representative': 12, 'size': 2}
  • id: 138613264
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 62, 'group_counter': 41, 'group_order': 528, 'label': '44A-1', 'order': 44, 'powers': [46, 64, 66, 10], 'representative': 516, 'size': 2}
  • id: 138613265
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 63, 'group_counter': 41, 'group_order': 528, 'label': '44A3', 'order': 44, 'powers': [47, 69, 73, 10], 'representative': 36, 'size': 2}
  • id: 138613266
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 64, 'group_counter': 41, 'group_order': 528, 'label': '44A-3', 'order': 44, 'powers': [47, 70, 74, 9], 'representative': 492, 'size': 2}
  • id: 138613267
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 65, 'group_counter': 41, 'group_order': 528, 'label': '44A5', 'order': 44, 'powers': [48, 73, 78, 9], 'representative': 60, 'size': 2}
  • id: 138613268
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 66, 'group_counter': 41, 'group_order': 528, 'label': '44A-5', 'order': 44, 'powers': [48, 74, 77, 10], 'representative': 468, 'size': 2}
  • id: 138613269
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 67, 'group_counter': 41, 'group_order': 528, 'label': '44A7', 'order': 44, 'powers': [49, 79, 70, 10], 'representative': 84, 'size': 2}
  • id: 138613270
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 68, 'group_counter': 41, 'group_order': 528, 'label': '44A-7', 'order': 44, 'powers': [49, 80, 69, 9], 'representative': 444, 'size': 2}
  • id: 138613271
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 69, 'group_counter': 41, 'group_order': 528, 'label': '44A9', 'order': 44, 'powers': [50, 76, 61, 9], 'representative': 108, 'size': 2}
  • id: 138613273
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 70, 'group_counter': 41, 'group_order': 528, 'label': '44A-9', 'order': 44, 'powers': [50, 75, 62, 10], 'representative': 420, 'size': 2}
  • id: 138613274
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 71, 'group_counter': 41, 'group_order': 528, 'label': '44A13', 'order': 44, 'powers': [50, 66, 79, 9], 'representative': 156, 'size': 2}
  • id: 138613275
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 72, 'group_counter': 41, 'group_order': 528, 'label': '44A-13', 'order': 44, 'powers': [50, 65, 80, 10], 'representative': 372, 'size': 2}
  • id: 138613276
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 73, 'group_counter': 41, 'group_order': 528, 'label': '44A15', 'order': 44, 'powers': [49, 61, 72, 10], 'representative': 180, 'size': 2}
  • id: 138613277
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 74, 'group_counter': 41, 'group_order': 528, 'label': '44A-15', 'order': 44, 'powers': [49, 62, 71, 9], 'representative': 348, 'size': 2}
  • id: 138613278
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 75, 'group_counter': 41, 'group_order': 528, 'label': '44A17', 'order': 44, 'powers': [48, 67, 64, 9], 'representative': 204, 'size': 2}
  • id: 138613279
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 76, 'group_counter': 41, 'group_order': 528, 'label': '44A-17', 'order': 44, 'powers': [48, 68, 63, 10], 'representative': 324, 'size': 2}
  • id: 138613280
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 77, 'group_counter': 41, 'group_order': 528, 'label': '44A19', 'order': 44, 'powers': [47, 71, 67, 10], 'representative': 228, 'size': 2}
  • id: 138613281
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 78, 'group_counter': 41, 'group_order': 528, 'label': '44A-19', 'order': 44, 'powers': [47, 72, 68, 9], 'representative': 300, 'size': 2}
  • id: 138613282
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 79, 'group_counter': 41, 'group_order': 528, 'label': '44A21', 'order': 44, 'powers': [46, 77, 75, 9], 'representative': 252, 'size': 2}
  • id: 138613284
    {'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 80, 'group_counter': 41, 'group_order': 528, 'label': '44A-21', 'order': 44, 'powers': [46, 78, 76, 10], 'representative': 276, 'size': 2}
  • id: 138613285
    {'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 81, 'group_counter': 41, 'group_order': 528, 'label': '66A1', 'order': 66, 'powers': [51, 36, 83, 15], 'representative': 18, 'size': 2}
  • id: 138613286
    {'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 82, 'group_counter': 41, 'group_order': 528, 'label': '66A-1', 'order': 66, 'powers': [52, 36, 84, 16], 'representative': 370, 'size': 2}
  • id: 138613287
    {'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 83, 'group_counter': 41, 'group_order': 528, 'label': '66A5', 'order': 66, 'powers': [57, 38, 89, 16], 'representative': 82, 'size': 2}
  • id: 138613288
    {'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 84, 'group_counter': 41, 'group_order': 528, 'label': '66A-5', 'order': 66, 'powers': [58, 38, 90, 15], 'representative': 258, 'size': 2}
  • id: 138613289
    {'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 85, 'group_counter': 41, 'group_order': 528, 'label': '66A7', 'order': 66, 'powers': [55, 39, 88, 15], 'representative': 66, 'size': 2}
  • id: 138613290
    {'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 86, 'group_counter': 41, 'group_order': 528, 'label': '66A-7', 'order': 66, 'powers': [56, 39, 87, 16], 'representative': 418, 'size': 2}
  • id: 138613291
    {'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 87, 'group_counter': 41, 'group_order': 528, 'label': '66A13', 'order': 66, 'powers': [54, 40, 82, 15], 'representative': 210, 'size': 2}
  • id: 138613292
    {'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 88, 'group_counter': 41, 'group_order': 528, 'label': '66A-13', 'order': 66, 'powers': [53, 40, 81, 16], 'representative': 34, 'size': 2}
  • id: 138613293
    {'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 89, 'group_counter': 41, 'group_order': 528, 'label': '66A19', 'order': 66, 'powers': [60, 37, 86, 15], 'representative': 306, 'size': 2}
  • id: 138613295
    {'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 90, 'group_counter': 41, 'group_order': 528, 'label': '66A-19', 'order': 66, 'powers': [59, 37, 85, 16], 'representative': 130, 'size': 2}
  • id: 138613296
    {'aut_label': '66B1', 'centralizer': '2.b1.a1', 'counter': 91, 'group_counter': 41, 'group_order': 528, 'label': '66B1', 'order': 66, 'powers': [57, 41, 93, 14], 'representative': 10, 'size': 2}
  • id: 138613297
    {'aut_label': '66B1', 'centralizer': '2.b1.a1', 'counter': 92, 'group_counter': 41, 'group_order': 528, 'label': '66B-1', 'order': 66, 'powers': [58, 41, 94, 13], 'representative': 186, 'size': 2}
  • id: 138613298
    {'aut_label': '66B1', 'centralizer': '2.b1.a1', 'counter': 93, 'group_counter': 41, 'group_order': 528, 'label': '66B5', 'order': 66, 'powers': [60, 43, 99, 13], 'representative': 42, 'size': 2}
  • id: 138613299
    {'aut_label': '66B1', 'centralizer': '2.b1.a1', 'counter': 94, 'group_counter': 41, 'group_order': 528, 'label': '66B-5', 'order': 66, 'powers': [59, 43, 100, 14], 'representative': 394, 'size': 2}
  • id: 138613300
    {'aut_label': '66B1', 'centralizer': '2.b1.a1', 'counter': 95, 'group_counter': 41, 'group_order': 528, 'label': '66B7', 'order': 66, 'powers': [53, 44, 98, 14], 'representative': 58, 'size': 2}
  • id: 138613301
    {'aut_label': '66B1', 'centralizer': '2.b1.a1', 'counter': 96, 'group_counter': 41, 'group_order': 528, 'label': '66B-7', 'order': 66, 'powers': [54, 44, 97, 13], 'representative': 234, 'size': 2}
  • id: 138613302
    {'aut_label': '66B1', 'centralizer': '2.b1.a1', 'counter': 97, 'group_counter': 41, 'group_order': 528, 'label': '66B13', 'order': 66, 'powers': [52, 45, 92, 14], 'representative': 106, 'size': 2}
  • id: 138613303
    {'aut_label': '66B1', 'centralizer': '2.b1.a1', 'counter': 98, 'group_counter': 41, 'group_order': 528, 'label': '66B-13', 'order': 66, 'powers': [51, 45, 91, 13], 'representative': 282, 'size': 2}
  • id: 138613304
    {'aut_label': '66B1', 'centralizer': '2.b1.a1', 'counter': 99, 'group_counter': 41, 'group_order': 528, 'label': '66B19', 'order': 66, 'powers': [56, 42, 96, 14], 'representative': 154, 'size': 2}
  • id: 138613157
    {'aut_label': '66B1', 'centralizer': '2.b1.a1', 'counter': 100, 'group_counter': 41, 'group_order': 528, 'label': '66B-19', 'order': 66, 'powers': [55, 42, 95, 13], 'representative': 330, 'size': 2}
  • id: 138613158
    {'aut_label': '66C1', 'centralizer': '2.b1.a1', 'counter': 101, 'group_counter': 41, 'group_order': 528, 'label': '66C1', 'order': 66, 'powers': [57, 46, 103, 17], 'representative': 8, 'size': 2}
  • id: 138613159
    {'aut_label': '66C1', 'centralizer': '2.b1.a1', 'counter': 102, 'group_counter': 41, 'group_order': 528, 'label': '66C-1', 'order': 66, 'powers': [58, 46, 104, 18], 'representative': 520, 'size': 2}
  • id: 138613160
    {'aut_label': '66C1', 'centralizer': '2.b1.a1', 'counter': 103, 'group_counter': 41, 'group_order': 528, 'label': '66C5', 'order': 66, 'powers': [60, 48, 109, 18], 'representative': 40, 'size': 2}
  • id: 138613161
    {'aut_label': '66C1', 'centralizer': '2.b1.a1', 'counter': 104, 'group_counter': 41, 'group_order': 528, 'label': '66C-5', 'order': 66, 'powers': [59, 48, 110, 17], 'representative': 488, 'size': 2}
  • id: 138613162
    {'aut_label': '66C1', 'centralizer': '2.b1.a1', 'counter': 105, 'group_counter': 41, 'group_order': 528, 'label': '66C7', 'order': 66, 'powers': [53, 49, 108, 17], 'representative': 56, 'size': 2}
  • id: 138613163
    {'aut_label': '66C1', 'centralizer': '2.b1.a1', 'counter': 106, 'group_counter': 41, 'group_order': 528, 'label': '66C-7', 'order': 66, 'powers': [54, 49, 107, 18], 'representative': 472, 'size': 2}
  • id: 138613164
    {'aut_label': '66C1', 'centralizer': '2.b1.a1', 'counter': 107, 'group_counter': 41, 'group_order': 528, 'label': '66C13', 'order': 66, 'powers': [52, 50, 102, 17], 'representative': 104, 'size': 2}
  • id: 138613165
    {'aut_label': '66C1', 'centralizer': '2.b1.a1', 'counter': 108, 'group_counter': 41, 'group_order': 528, 'label': '66C-13', 'order': 66, 'powers': [51, 50, 101, 18], 'representative': 424, 'size': 2}
  • id: 138613166
    {'aut_label': '66C1', 'centralizer': '2.b1.a1', 'counter': 109, 'group_counter': 41, 'group_order': 528, 'label': '66C19', 'order': 66, 'powers': [56, 47, 106, 17], 'representative': 152, 'size': 2}
  • id: 138613168
    {'aut_label': '66C1', 'centralizer': '2.b1.a1', 'counter': 110, 'group_counter': 41, 'group_order': 528, 'label': '66C-19', 'order': 66, 'powers': [55, 47, 105, 18], 'representative': 376, 'size': 2}
  • id: 138613169
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 111, 'group_counter': 41, 'group_order': 528, 'label': '132A1', 'order': 132, 'powers': [101, 61, 113, 28], 'representative': 4, 'size': 2}
  • id: 138613170
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 112, 'group_counter': 41, 'group_order': 528, 'label': '132A-1', 'order': 132, 'powers': [102, 62, 114, 29], 'representative': 524, 'size': 2}
  • id: 138613171
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 113, 'group_counter': 41, 'group_order': 528, 'label': '132A5', 'order': 132, 'powers': [103, 65, 125, 30], 'representative': 20, 'size': 2}
  • id: 138613172
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 114, 'group_counter': 41, 'group_order': 528, 'label': '132A-5', 'order': 132, 'powers': [104, 66, 126, 31], 'representative': 508, 'size': 2}
  • id: 138613173
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 115, 'group_counter': 41, 'group_order': 528, 'label': '132A7', 'order': 132, 'powers': [105, 67, 131, 31], 'representative': 28, 'size': 2}
  • id: 138613174
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 116, 'group_counter': 41, 'group_order': 528, 'label': '132A-7', 'order': 132, 'powers': [106, 68, 132, 30], 'representative': 500, 'size': 2}
  • id: 138613175
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 117, 'group_counter': 41, 'group_order': 528, 'label': '132A13', 'order': 132, 'powers': [107, 71, 149, 28], 'representative': 52, 'size': 2}
  • id: 138613176
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 118, 'group_counter': 41, 'group_order': 528, 'label': '132A-13', 'order': 132, 'powers': [108, 72, 150, 29], 'representative': 476, 'size': 2}
  • id: 138613177
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 119, 'group_counter': 41, 'group_order': 528, 'label': '132A17', 'order': 132, 'powers': [103, 75, 140, 30], 'representative': 68, 'size': 2}
  • id: 138613179
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 120, 'group_counter': 41, 'group_order': 528, 'label': '132A-17', 'order': 132, 'powers': [104, 76, 139, 31], 'representative': 460, 'size': 2}
  • id: 138613180
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 121, 'group_counter': 41, 'group_order': 528, 'label': '132A19', 'order': 132, 'powers': [109, 77, 134, 31], 'representative': 76, 'size': 2}
  • id: 138613181
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 122, 'group_counter': 41, 'group_order': 528, 'label': '132A-19', 'order': 132, 'powers': [110, 78, 133, 30], 'representative': 452, 'size': 2}
  • id: 138613182
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 123, 'group_counter': 41, 'group_order': 528, 'label': '132A23', 'order': 132, 'powers': [102, 80, 120, 29], 'representative': 92, 'size': 2}
  • id: 138613183
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 124, 'group_counter': 41, 'group_order': 528, 'label': '132A-23', 'order': 132, 'powers': [101, 79, 119, 28], 'representative': 6, 'size': 2}
  • id: 138613184
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 125, 'group_counter': 41, 'group_order': 528, 'label': '132A25', 'order': 132, 'powers': [109, 78, 116, 28], 'representative': 100, 'size': 2}
  • id: 138613185
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 126, 'group_counter': 41, 'group_order': 528, 'label': '132A-25', 'order': 132, 'powers': [110, 77, 115, 29], 'representative': 428, 'size': 2}
  • id: 138613186
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 127, 'group_counter': 41, 'group_order': 528, 'label': '132A29', 'order': 132, 'powers': [106, 74, 117, 30], 'representative': 116, 'size': 2}
  • id: 138613187
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 128, 'group_counter': 41, 'group_order': 528, 'label': '132A-29', 'order': 132, 'powers': [105, 73, 118, 31], 'representative': 30, 'size': 2}
  • id: 138613188
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 129, 'group_counter': 41, 'group_order': 528, 'label': '132A31', 'order': 132, 'powers': [107, 72, 123, 31], 'representative': 124, 'size': 2}
  • id: 138613190
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 130, 'group_counter': 41, 'group_order': 528, 'label': '132A-31', 'order': 132, 'powers': [108, 71, 124, 30], 'representative': 404, 'size': 2}
  • id: 138613191
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 131, 'group_counter': 41, 'group_order': 528, 'label': '132A35', 'order': 132, 'powers': [108, 70, 137, 29], 'representative': 140, 'size': 2}
  • id: 138613192
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 132, 'group_counter': 41, 'group_order': 528, 'label': '132A-35', 'order': 132, 'powers': [107, 69, 138, 28], 'representative': 388, 'size': 2}
  • id: 138613193
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 133, 'group_counter': 41, 'group_order': 528, 'label': '132A37', 'order': 132, 'powers': [105, 68, 143, 28], 'representative': 148, 'size': 2}
  • id: 138613194
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 134, 'group_counter': 41, 'group_order': 528, 'label': '132A-37', 'order': 132, 'powers': [106, 67, 144, 29], 'representative': 380, 'size': 2}
  • id: 138613195
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 135, 'group_counter': 41, 'group_order': 528, 'label': '132A41', 'order': 132, 'powers': [110, 64, 146, 30], 'representative': 164, 'size': 2}
  • id: 138613196
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 136, 'group_counter': 41, 'group_order': 528, 'label': '132A-41', 'order': 132, 'powers': [109, 63, 145, 31], 'representative': 364, 'size': 2}
  • id: 138613197
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 137, 'group_counter': 41, 'group_order': 528, 'label': '132A43', 'order': 132, 'powers': [101, 62, 142, 31], 'representative': 172, 'size': 2}
  • id: 138613198
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 138, 'group_counter': 41, 'group_order': 528, 'label': '132A-43', 'order': 132, 'powers': [102, 61, 141, 30], 'representative': 356, 'size': 2}
  • id: 138613199
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 139, 'group_counter': 41, 'group_order': 528, 'label': '132A47', 'order': 132, 'powers': [110, 63, 128, 29], 'representative': 188, 'size': 2}
  • id: 138613201
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 140, 'group_counter': 41, 'group_order': 528, 'label': '132A-47', 'order': 132, 'powers': [109, 64, 127, 28], 'representative': 340, 'size': 2}
  • id: 138613202
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 141, 'group_counter': 41, 'group_order': 528, 'label': '132A49', 'order': 132, 'powers': [104, 65, 122, 28], 'representative': 196, 'size': 2}
  • id: 138613203
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 142, 'group_counter': 41, 'group_order': 528, 'label': '132A-49', 'order': 132, 'powers': [103, 66, 121, 29], 'representative': 332, 'size': 2}
  • id: 138613204
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 143, 'group_counter': 41, 'group_order': 528, 'label': '132A53', 'order': 132, 'powers': [108, 69, 111, 30], 'representative': 212, 'size': 2}
  • id: 138613205
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 144, 'group_counter': 41, 'group_order': 528, 'label': '132A-53', 'order': 132, 'powers': [107, 70, 112, 31], 'representative': 316, 'size': 2}
  • id: 138613206
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 145, 'group_counter': 41, 'group_order': 528, 'label': '132A59', 'order': 132, 'powers': [106, 73, 129, 29], 'representative': 236, 'size': 2}
  • id: 138613207
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 146, 'group_counter': 41, 'group_order': 528, 'label': '132A-59', 'order': 132, 'powers': [105, 74, 130, 28], 'representative': 292, 'size': 2}
  • id: 138613208
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 147, 'group_counter': 41, 'group_order': 528, 'label': '132A61', 'order': 132, 'powers': [104, 75, 135, 28], 'representative': 244, 'size': 2}
  • id: 138613209
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 148, 'group_counter': 41, 'group_order': 528, 'label': '132A-61', 'order': 132, 'powers': [103, 76, 136, 29], 'representative': 284, 'size': 2}
  • id: 138613210
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 149, 'group_counter': 41, 'group_order': 528, 'label': '132A65', 'order': 132, 'powers': [102, 79, 147, 30], 'representative': 260, 'size': 2}
  • id: 138613212
    {'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 150, 'group_counter': 41, 'group_order': 528, 'label': '132A-65', 'order': 132, 'powers': [101, 80, 148, 31], 'representative': 268, 'size': 2}
• 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: 12288585
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12288596
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12288604
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12288605
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12288606
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, -1, -1, -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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12288607
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288608
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1g', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288609
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1h', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -1, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12288610
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1i', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -1, 2, 2, -2, -2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, -1, -1, -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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12288586
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1j', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 1, 1, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12288589
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288590
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, -2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288587
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1k', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, 4, -2, -2, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288588
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.1l', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, -4, -2, -2, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288591
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2c', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -2, -2, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288592
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2d', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, -2, -2, 0, 0, 0, 0, 2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288593
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2e', 'multiplicity': 5, 'nt': [11, 2], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 0, 0, 10, 10, 10, 10, 0, 0, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, -1, -1, -1, -1, -1, 10, 10, 10, 10, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12288594
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2f', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 0, 0, 10, 10, -10, -10, 0, 0, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, -1, -1, -1, -1, -1, -10, -10, -10, -10, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12288595
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2g', 'multiplicity': 10, 'nt': [33, 4], 'qdim': 20, 'qvalues': [20, 20, 20, 20, 0, 0, -10, -10, 20, 20, 0, 0, -10, -10, -10, -10, -10, -10, 0, 0, 0, 0, -2, -2, -2, -2, -2, -10, -10, -10, -10, 0, 0, 0, 0, -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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12288597
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2h', 'multiplicity': 10, 'nt': [44, 6], 'qdim': 20, 'qvalues': [20, -20, -20, 20, 0, 0, 20, 20, 0, 0, 0, 0, 20, -20, -20, -20, 20, -20, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288598
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2i', 'multiplicity': 10, 'nt': [44, 7], 'qdim': 20, 'qvalues': [20, -20, 20, -20, 0, 0, 20, 20, 0, 0, 0, 0, -20, -20, 20, 20, -20, -20, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288599
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2j', 'multiplicity': 10, 'nt': [44, 9], 'qdim': 20, 'qvalues': [20, 20, -20, -20, 0, 0, 20, 20, 0, 0, 0, 0, -20, 20, -20, -20, -20, 20, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288600
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2k', 'multiplicity': 10, 'nt': [66, 0], 'qdim': 20, 'qvalues': [20, 20, 20, 20, 0, 0, -10, -10, -20, -20, 0, 0, -10, -10, -10, -10, -10, -10, 0, 0, 0, 0, -2, -2, -2, -2, -2, 10, 10, 10, 10, 0, 0, 0, 0, -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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12288601
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2l', 'multiplicity': 20, 'nt': [132, 0], 'qdim': 40, 'qvalues': [40, -40, -40, 40, 0, 0, -20, -20, 0, 0, 0, 0, -20, 20, 20, 20, -20, 20, 0, 0, 0, 0, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288602
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2m', 'multiplicity': 20, 'nt': [132, 0], 'qdim': 40, 'qvalues': [40, -40, 40, -40, 0, 0, -20, -20, 0, 0, 0, 0, 20, 20, -20, -20, 20, 20, 0, 0, 0, 0, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12288603
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '528.41', 'group_order': 528, 'image': None, 'label': '528.41.2n', 'multiplicity': 20, 'nt': [132, 0], 'qdim': 40, 'qvalues': [40, 40, -40, -40, 0, 0, -20, -20, 0, 0, 0, 0, 20, -20, 20, 20, 20, -20, 0, 0, 0, 0, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 28500408
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 528, 'label': '528.41.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 28500470
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 264, 'label': '528.41.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 28500481
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 264, 'label': '528.41.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 28500492
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 264, 'label': '528.41.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 28500503
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 176, 'label': '528.41.1e1', 'nt': [3, 1], 'q_character': None, 'values': [[[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, -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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[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: 28500514
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 176, 'label': '528.41.1e2', 'nt': [3, 2], 'q_character': None, 'values': [[[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, 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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[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: 28500525
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.b1', 'kernel_order': 132, 'label': '528.41.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[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, 0]], [[-1, 0]], [[1, 0]], [[1, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-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: 28500536
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.b1', 'kernel_order': 132, 'label': '528.41.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[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, 0]], [[-1, 0]], [[1, 0]], [[1, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[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: 28500547
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 9, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 132, 'label': '528.41.1g1', 'nt': [4, 1], 'q_character': None, 'values': [[[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, 0]], [[-1, 0]], [[1, 0]], [[1, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-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: 28500409
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 132, 'label': '528.41.1g2', 'nt': [4, 2], 'q_character': None, 'values': [[[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, 0]], [[-1, 0]], [[1, 0]], [[1, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[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: 28500420
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 11, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1.a1', 'kernel_order': 88, 'label': '528.41.1h1', 'nt': [6, 1], 'q_character': None, 'values': [[[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, -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, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-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: 28500431
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 12, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1.a1', 'kernel_order': 88, 'label': '528.41.1h2', 'nt': [6, 2], 'q_character': None, 'values': [[[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, 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, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-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: 28500442
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 13, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 88, 'label': '528.41.1i1', 'nt': [6, 1], 'q_character': None, 'values': [[[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, -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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[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: 28500453
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 14, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 88, 'label': '528.41.1i2', 'nt': [6, 2], 'q_character': None, 'values': [[[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, 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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[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: 28500464
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 15, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 88, 'label': '528.41.1j1', 'nt': [6, 1], 'q_character': None, 'values': [[[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, -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, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-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: 28500466
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 16, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 88, 'label': '528.41.1j2', 'nt': [6, 2], 'q_character': None, 'values': [[[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, 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, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-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: 28500467
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 17, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.b1', 'kernel_order': 44, 'label': '528.41.1k1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]]]}
  • id: 28500468
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 18, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.b1', 'kernel_order': 44, 'label': '528.41.1k2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-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, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]]]}
  • id: 28500469
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 19, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.b1', 'kernel_order': 44, 'label': '528.41.1k3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]]]}
  • id: 28500471
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 20, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.b1', 'kernel_order': 44, 'label': '528.41.1k4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[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, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]]]}
  • id: 28500472
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 21, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 44, 'label': '528.41.1l1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]]]}
  • id: 28500473
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  • id: 28500474
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  • id: 28500475
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 528, 'counter': 24, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 44, 'label': '528.41.1l4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-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, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]]]}
  • id: 28500476
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 132, 'counter': 25, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 66, 'label': '528.41.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 28500477
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  • id: 28500478
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  • id: 28500479
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  • id: 28500480
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 132, 'counter': 29, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 22, 'label': '528.41.2d1', 'nt': [12, 14], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, -1]], [[2, -1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 28500482
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  • id: 28500483
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  • id: 28500484
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  • id: 28500485
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  • id: 28500486
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  • id: 28500487
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 35, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 24, 'label': '528.41.2e5', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[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, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]]]}
  • id: 28500488
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 36, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 12, 'label': '528.41.2f1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]]]}
  • id: 28500489
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 37, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 12, 'label': '528.41.2f2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]]]}
  • id: 28500490
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 38, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 12, 'label': '528.41.2f3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]]]}
  • id: 28500491
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 39, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 12, 'label': '528.41.2f4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-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, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]]]}
  • id: 28500493
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 40, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 12, 'label': '528.41.2f5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[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, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]]]}
  • id: 28500494
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  • id: 28500504
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  • id: 28500495
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  • id: 28500496
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  • id: 28500497
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  • id: 28500498
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  • id: 28500499
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  • id: 28500500
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 47, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '66.2', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 8, 'label': '528.41.2g7', 'nt': [33, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, -11]], [[2, -11]], [[2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[2, -11]], [[2, -11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 12], [1, 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  • id: 28500501
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  • id: 28500502
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 49, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '66.2', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 8, 'label': '528.41.2g9', 'nt': [33, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, -11]], [[2, -11]], [[2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[2, -11]], [[2, -11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, 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  • id: 28500505
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 51, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.7', 'image_order': 88, 'indicator': 0, 'kernel': '88.c1.a1', 'kernel_order': 6, 'label': '528.41.2h1', 'nt': [44, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 5], [-1, -5]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[1, 3], [-1, -3]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]]]}
  • id: 28500515
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 60, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.7', 'image_order': 88, 'indicator': 0, 'kernel': '88.c1.a1', 'kernel_order': 6, 'label': '528.41.2h10', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[-1, 4], [1, -4]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 5], [1, -5]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-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, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[1, 5], [-1, -5]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[1, 5], [-1, -5]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]]]}
  • id: 28500506
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 52, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.7', 'image_order': 88, 'indicator': 0, 'kernel': '88.c1.a1', 'kernel_order': 6, 'label': '528.41.2h2', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]]]}
  • id: 28500507
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 53, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.7', 'image_order': 88, 'indicator': 0, 'kernel': '88.c1.a1', 'kernel_order': 6, 'label': '528.41.2h3', 'nt': [44, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[1, 5], [-1, -5]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[-1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[1, 2], [-1, -2]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 5], [-1, -5]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 2], [1, -2]]]}
  • id: 28500508
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 54, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.7', 'image_order': 88, 'indicator': 0, 'kernel': '88.c1.a1', 'kernel_order': 6, 'label': '528.41.2h4', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[-1, 5], [1, -5]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[1, 5], [-1, -5]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]]]}
  • id: 28500509
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 55, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.7', 'image_order': 88, 'indicator': 0, 'kernel': '88.c1.a1', 'kernel_order': 6, 'label': '528.41.2h5', 'nt': [44, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[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, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]]]}
  • id: 28500510
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 56, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.7', 'image_order': 88, 'indicator': 0, 'kernel': '88.c1.a1', 'kernel_order': 6, 'label': '528.41.2h6', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[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, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[-1, 4], [1, -4]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[-1, 4], [1, -4]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]]]}
  • id: 28500511
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 57, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.7', 'image_order': 88, 'indicator': 0, 'kernel': '88.c1.a1', 'kernel_order': 6, 'label': '528.41.2h7', 'nt': [44, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[1, 5], [-1, -5]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-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, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[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, 5], [1, -5]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]]]}
  • id: 28500512
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 58, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.7', 'image_order': 88, 'indicator': 0, 'kernel': '88.c1.a1', 'kernel_order': 6, 'label': '528.41.2h8', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[-1, 5], [1, -5]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-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, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[-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, 5], [-1, -5]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]]]}
  • id: 28500513
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 59, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.7', 'image_order': 88, 'indicator': 0, 'kernel': '88.c1.a1', 'kernel_order': 6, 'label': '528.41.2h9', 'nt': [44, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[-1, 2], [1, -2]], [[-1, 5], [1, -5]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[1, 4], [-1, -4]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 5], [-1, -5]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-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, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[-1, 5], [1, -5]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 5], [-1, -5]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]]]}
  • id: 28500516
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 61, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 6, 'label': '528.41.2i1', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-2, 11]], [[2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, 17]], [[1, 7], [1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[1, 5], [1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[1, 3], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[1, 5], [1, 17]], [[-1, 7], [-1, 15]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[1, 3], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[-1, 3], [-1, 19]], [[1, 7], [1, 15]], [[1, 7], [1, 15]], [[-1, 9], [-1, 13]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[-1, 3], [-1, 19]], [[1, 9], [1, 13]], [[-1, 5], [-1, 17]], [[1, 7], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 3], [-1, 19]], [[-1, 3], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]]]}
  • id: 28500526
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 70, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 6, 'label': '528.41.2i10', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [1, 19]], [[-1, 7], [-1, 15]], [[1, 3], [1, 19]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 5], [-1, 17]], [[-1, 3], [-1, 19]], [[-1, 3], [-1, 19]], [[-1, 7], [-1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[-1, 5], [-1, 17]], [[1, 7], [1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [-1, 19]], [[1, 9], [1, 13]], [[-1, 5], [-1, 17]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]]]}
  • id: 28500517
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 62, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 6, 'label': '528.41.2i2', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, 17]], [[-1, 7], [-1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[-1, 5], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[-1, 3], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[-1, 5], [-1, 17]], [[1, 7], [1, 15]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[-1, 3], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[1, 3], [1, 19]], [[-1, 7], [-1, 15]], [[-1, 7], [-1, 15]], [[1, 9], [1, 13]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[1, 3], [1, 19]], [[-1, 9], [-1, 13]], [[1, 5], [1, 17]], [[-1, 7], [-1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 3], [1, 19]], [[1, 3], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]]]}
  • id: 28500518
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 63, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 6, 'label': '528.41.2i3', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-2, 11]], [[2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 7], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[-1, 7], [-1, 15]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[-1, 9], [-1, 13]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[-1, 7], [-1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 5], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 9], [-1, 13]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[1, 9], [1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 5], [-1, 17]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[1, 5], [1, 17]], [[1, 7], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [1, 19]], [[1, 9], [1, 13]], [[1, 9], [1, 13]], [[1, 3], [1, 19]]]}
  • id: 28500519
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 64, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 6, 'label': '528.41.2i4', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[1, 7], [1, 15]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[1, 9], [1, 13]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[1, 7], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 5], [1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 9], [1, 13]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[-1, 9], [-1, 13]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 5], [1, 17]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[-1, 5], [-1, 17]], [[-1, 7], [-1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [-1, 19]], [[-1, 9], [-1, 13]], [[-1, 9], [-1, 13]], [[-1, 3], [-1, 19]]]}
  • id: 28500520
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 65, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 6, 'label': '528.41.2i5', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-2, 11]], [[2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, 19]], [[-1, 9], [-1, 13]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[1, 7], [1, 15]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[-1, 3], [-1, 19]], [[1, 9], [1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[-1, 7], [-1, 15]], [[-1, 9], [-1, 13]], [[-1, 9], [-1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 7], [-1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 3], [1, 19]], [[-1, 9], [-1, 13]], [[-1, 5], [-1, 17]], [[-1, 7], [-1, 15]], [[-1, 7], [-1, 15]], [[-1, 5], [-1, 17]]]}
  • id: 28500521
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 66, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 6, 'label': '528.41.2i6', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 19]], [[1, 9], [1, 13]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [1, 19]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[-1, 7], [-1, 15]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[1, 3], [1, 19]], [[-1, 9], [-1, 13]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[1, 7], [1, 15]], [[1, 9], [1, 13]], [[1, 9], [1, 13]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 7], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 3], [-1, 19]], [[1, 9], [1, 13]], [[1, 5], [1, 17]], [[1, 7], [1, 15]], [[1, 7], [1, 15]], [[1, 5], [1, 17]]]}
  • id: 28500522
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 67, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 6, 'label': '528.41.2i7', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-2, 11]], [[2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, 13]], [[-1, 5], [-1, 17]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[1, 9], [1, 13]], [[1, 5], [1, 17]], [[1, 3], [1, 19]], [[1, 5], [1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 5], [-1, 17]], [[-1, 5], [-1, 17]], [[1, 3], [1, 19]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [-1, 19]], [[-1, 9], [-1, 13]], [[-1, 5], [-1, 17]], [[1, 7], [1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 7], [1, 15]]]}
  • id: 28500523
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 68, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 6, 'label': '528.41.2i8', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 9], [1, 13]], [[1, 5], [1, 17]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[-1, 9], [-1, 13]], [[-1, 5], [-1, 17]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 5], [1, 17]], [[1, 5], [1, 17]], [[-1, 3], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [1, 19]], [[1, 9], [1, 13]], [[1, 5], [1, 17]], [[-1, 7], [-1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 7], [-1, 15]]]}
  • id: 28500524
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 69, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 6, 'label': '528.41.2i9', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-2, 11]], [[2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [1, 19]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [-1, 19]], [[1, 7], [1, 15]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 5], [1, 17]], [[1, 3], [1, 19]], [[1, 3], [1, 19]], [[1, 7], [1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[1, 5], [1, 17]], [[-1, 7], [-1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [1, 19]], [[-1, 9], [-1, 13]], [[1, 5], [1, 17]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]]]}
  • id: 28500527
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 71, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.5', 'image_order': 88, 'indicator': 1, 'kernel': '88.a1.a1', 'kernel_order': 6, 'label': '528.41.2j1', 'nt': [44, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]]]}
  • id: 28500537
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 80, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.5', 'image_order': 88, 'indicator': 1, 'kernel': '88.a1.a1', 'kernel_order': 6, 'label': '528.41.2j10', 'nt': [44, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]]]}
  • id: 28500528
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 72, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.5', 'image_order': 88, 'indicator': 1, 'kernel': '88.a1.a1', 'kernel_order': 6, 'label': '528.41.2j2', 'nt': [44, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]]]}
  • id: 28500529
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 73, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.5', 'image_order': 88, 'indicator': 1, 'kernel': '88.a1.a1', 'kernel_order': 6, 'label': '528.41.2j3', 'nt': [44, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]]]}
  • id: 28500530
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 74, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.5', 'image_order': 88, 'indicator': 1, 'kernel': '88.a1.a1', 'kernel_order': 6, 'label': '528.41.2j4', 'nt': [44, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]]]}
  • id: 28500531
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 75, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.5', 'image_order': 88, 'indicator': 1, 'kernel': '88.a1.a1', 'kernel_order': 6, 'label': '528.41.2j5', 'nt': [44, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]]]}
  • id: 28500532
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 76, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.5', 'image_order': 88, 'indicator': 1, 'kernel': '88.a1.a1', 'kernel_order': 6, 'label': '528.41.2j6', 'nt': [44, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]]]}
  • id: 28500533
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 77, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.5', 'image_order': 88, 'indicator': 1, 'kernel': '88.a1.a1', 'kernel_order': 6, 'label': '528.41.2j7', 'nt': [44, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]]]}
  • id: 28500534
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 78, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.5', 'image_order': 88, 'indicator': 1, 'kernel': '88.a1.a1', 'kernel_order': 6, 'label': '528.41.2j8', 'nt': [44, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]]]}
  • id: 28500535
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 79, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '88.5', 'image_order': 88, 'indicator': 1, 'kernel': '88.a1.a1', 'kernel_order': 6, 'label': '528.41.2j9', 'nt': [44, 9], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]]]}
  • id: 28500538
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 81, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '132.7', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 4, 'label': '528.41.2k1', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, -11]], [[2, -11]], [[2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 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  • id: 28500548
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 90, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '132.7', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 4, 'label': '528.41.2k10', 'nt': [66, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, 11]], [[2, 11]], [[2, -11]], [[2, -11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 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  • id: 28500539
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 82, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '132.7', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 4, 'label': '528.41.2k2', 'nt': [66, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, 11]], [[2, 11]], [[2, -11]], [[2, -11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 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  • id: 28500540
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 83, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '132.7', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 4, 'label': '528.41.2k3', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, -11]], [[2, -11]], [[2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 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  • id: 28500541
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 84, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '132.7', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 4, 'label': '528.41.2k4', 'nt': [66, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, 11]], [[2, 11]], [[2, -11]], [[2, -11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 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  • id: 28500542
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 85, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '132.7', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 4, 'label': '528.41.2k5', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, -11]], [[2, -11]], [[2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 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  • id: 28500543
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 86, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '132.7', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 4, 'label': '528.41.2k6', 'nt': [66, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, 11]], [[2, 11]], [[2, -11]], [[2, -11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 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  • id: 28500544
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 87, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '132.7', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 4, 'label': '528.41.2k7', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, -11]], [[2, -11]], [[2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 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  • id: 28500545
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 88, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '132.7', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 4, 'label': '528.41.2k8', 'nt': [66, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, 11]], [[2, 11]], [[2, -11]], [[2, -11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 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  • id: 28500546
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 89, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -3, 12, 1, 20, -7, 16, -2, 5, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '132.7', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 4, 'label': '528.41.2k9', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, -11]], [[2, -11]], [[2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 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[1, -14]], [[-1, 1], [-1, 10]], [[1, 4], [1, 7], [1, 15], [1, -15]]]}
  • id: 28500549
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 91, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l1', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], 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  • id: 28500410
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 100, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l10', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[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, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 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  • id: 28500411
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 101, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l11', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[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, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 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  • id: 28500412
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 102, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l12', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[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, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 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  • id: 28500413
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 103, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l13', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 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  • id: 28500414
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 104, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l14', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], 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  • id: 28500415
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 105, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l15', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 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  • id: 28500416
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 106, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l16', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], 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  • id: 28500417
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 107, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l17', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 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  • id: 28500418
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 108, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l18', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 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  • id: 28500419
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 109, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l19', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 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  • id: 28500550
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 92, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l2', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 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  • id: 28500421
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 110, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l20', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 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  • id: 28500551
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 93, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l3', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], 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  • id: 28500552
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 94, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l4', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 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  • id: 28500553
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 95, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l5', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], 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  • id: 28500554
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 96, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l6', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 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  • id: 28500555
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 97, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l7', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], 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  • id: 28500556
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 98, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l8', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[-2, -11]], [[2, -11]], [[-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 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  • id: 28500557
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 99, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.17', 'image_order': 264, 'indicator': 0, 'kernel': '264.c1.a1', 'kernel_order': 2, 'label': '528.41.2l9', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -11]], [[-2, -11]], [[-2, -11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[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, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 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  • id: 28500422
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 111, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m1', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[2, 44]], [[-2, 33]], [[2, 33]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 22]], [[-2, 22]], [[2, 44]], [[-2, 44]], [[-2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[2, 55]], [[-2, 55]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], 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  • id: 28500432
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 120, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m10', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[2, 33]], [[-2, 33]], [[0, 0]], [[0, 0]], [[-2, 44]], [[-2, 44]], [[2, 44]], [[-2, 22]], [[2, 22]], [[2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-2, 11]], [[2, 11]], [[2, 55]], [[-2, 55]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], 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  • id: 28500433
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 121, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m11', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[2, 44]], [[2, 33]], [[-2, 33]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 22]], [[-2, 22]], [[2, 44]], [[-2, 44]], [[-2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-2, 55]], [[2, 55]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], 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  • id: 28500434
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 122, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m12', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[-2, 33]], [[2, 33]], [[0, 0]], [[0, 0]], [[-2, 44]], [[-2, 44]], [[2, 44]], [[-2, 22]], [[2, 22]], [[2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[2, 11]], [[-2, 11]], [[-2, 55]], [[2, 55]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], 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  • id: 28500435
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  • id: 28500436
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 124, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m14', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[-2, 33]], [[2, 33]], [[0, 0]], [[0, 0]], [[-2, 44]], [[-2, 44]], [[2, 44]], [[-2, 22]], [[2, 22]], [[2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[2, 11]], [[-2, 11]], [[-2, 55]], [[2, 55]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 24], [1, -24]], [[-1, 6], [-1, -6]], 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  • id: 28500437
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  • id: 28500438
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 126, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m16', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[-2, 33]], [[2, 33]], [[0, 0]], [[0, 0]], [[-2, 44]], [[-2, 44]], [[2, 44]], [[-2, 22]], [[2, 22]], [[2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[2, 11]], [[-2, 11]], [[-2, 55]], [[2, 55]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[-1, 18], [-1, -18]], [[1, 12], [1, 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  • id: 28500439
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  • id: 28500440
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 128, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m18', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[-2, 33]], [[2, 33]], [[0, 0]], [[0, 0]], [[-2, 44]], [[-2, 44]], [[2, 44]], [[-2, 22]], [[2, 22]], [[2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[2, 11]], [[-2, 11]], [[-2, 55]], [[2, 55]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 12], [1, -12]], [[-1, 30], [-1, -30]], [[1, 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  • id: 28500441
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  • id: 28500423
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 112, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m2', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[2, 33]], [[-2, 33]], [[0, 0]], [[0, 0]], [[-2, 44]], [[-2, 44]], [[2, 44]], [[-2, 22]], [[2, 22]], [[2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-2, 11]], [[2, 11]], [[2, 55]], [[-2, 55]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], 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  • id: 28500443
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  • id: 28500424
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 113, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m3', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[2, 44]], [[-2, 33]], [[2, 33]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 22]], [[-2, 22]], [[2, 44]], [[-2, 44]], [[-2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[2, 55]], [[-2, 55]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 24], [1, -24]], [[-1, 6], [-1, -6]], [[-1, 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  • id: 28500425
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  • id: 28500426
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 115, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m5', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[2, 44]], [[-2, 33]], [[2, 33]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 22]], [[-2, 22]], [[2, 44]], [[-2, 44]], [[-2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[2, 55]], [[-2, 55]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], 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  • id: 28500427
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  • id: 28500428
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 117, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m7', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[2, 44]], [[-2, 33]], [[2, 33]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 22]], [[-2, 22]], [[2, 44]], [[-2, 44]], [[-2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[2, 55]], [[-2, 55]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 12], [1, -12]], [[-1, 30], [-1, -30]], [[1, 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  • id: 28500429
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  • id: 28500430
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 24, 'counter': 119, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [1, 0, -15, 0, 190, 0, -469, 0, 796, 0, -711, 0, 454, 0, -182, 0, 53, 0, -9, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.14', 'image_order': 264, 'indicator': 0, 'kernel': '264.b1.a1', 'kernel_order': 2, 'label': '528.41.2m9', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[2, 44]], [[-2, 33]], [[2, 33]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 22]], [[-2, 22]], [[2, 44]], [[-2, 44]], [[-2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[2, 55]], [[-2, 55]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 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  • id: 28500444
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  • id: 28500454
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  • id: 28500455
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  • id: 28500456
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  • id: 28500457
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  • id: 28500458
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  • id: 28500459
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  • id: 28500460
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 146, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [121, 0, 605, 0, 2178, 0, 3267, 0, 3388, 0, 2189, 0, 1034, 0, 330, 0, 77, 0, 11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.15', 'image_order': 264, 'indicator': 0, 'kernel': '264.a1.a1', 'kernel_order': 2, 'label': '528.41.2n16', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 44]], [[2, 44]], [[-2, 44]], [[2, 22]], [[2, 22]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 12], [-1, -12]], [[1, 30], [1, -30]], [[-1, 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  • id: 28500461
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 147, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [121, 0, 605, 0, 2178, 0, 3267, 0, 3388, 0, 2189, 0, 1034, 0, 330, 0, 77, 0, 11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.15', 'image_order': 264, 'indicator': 0, 'kernel': '264.a1.a1', 'kernel_order': 2, 'label': '528.41.2n17', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 22]], [[-2, 22]], [[2, 22]], [[-2, 44]], [[-2, 44]], [[2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 12], 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  • id: 28500462
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  • id: 28500463
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 149, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [121, 0, 605, 0, 2178, 0, 3267, 0, 3388, 0, 2189, 0, 1034, 0, 330, 0, 77, 0, 11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.15', 'image_order': 264, 'indicator': 0, 'kernel': '264.a1.a1', 'kernel_order': 2, 'label': '528.41.2n19', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 22]], [[-2, 22]], [[2, 22]], [[-2, 44]], [[-2, 44]], [[2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 12], 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  • id: 28500445
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 132, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [121, 0, 605, 0, 2178, 0, 3267, 0, 3388, 0, 2189, 0, 1034, 0, 330, 0, 77, 0, 11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.15', 'image_order': 264, 'indicator': 0, 'kernel': '264.a1.a1', 'kernel_order': 2, 'label': '528.41.2n2', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 44]], [[2, 44]], [[-2, 44]], [[2, 22]], [[2, 22]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[-1, 24], [-1, -24]], [[1, 30], [1, -30]], [[-1, 24], [-1, -24]], [[1, 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  • id: 28500465
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 150, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [121, 0, 605, 0, 2178, 0, 3267, 0, 3388, 0, 2189, 0, 1034, 0, 330, 0, 77, 0, 11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.15', 'image_order': 264, 'indicator': 0, 'kernel': '264.a1.a1', 'kernel_order': 2, 'label': '528.41.2n20', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 44]], [[2, 44]], [[-2, 44]], [[2, 22]], [[2, 22]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 12], 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  • id: 28500446
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  • id: 28500447
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  • id: 28500448
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  • id: 28500449
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 136, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [121, 0, 605, 0, 2178, 0, 3267, 0, 3388, 0, 2189, 0, 1034, 0, 330, 0, 77, 0, 11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.15', 'image_order': 264, 'indicator': 0, 'kernel': '264.a1.a1', 'kernel_order': 2, 'label': '528.41.2n6', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 44]], [[2, 44]], [[-2, 44]], [[2, 22]], [[2, 22]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 24], [-1, -24]], [[1, 6], [1, -6]], [[1, 18], 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  • id: 28500450
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 137, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [121, 0, 605, 0, 2178, 0, 3267, 0, 3388, 0, 2189, 0, 1034, 0, 330, 0, 77, 0, 11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.15', 'image_order': 264, 'indicator': 0, 'kernel': '264.a1.a1', 'kernel_order': 2, 'label': '528.41.2n7', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 22]], [[-2, 22]], [[2, 22]], [[-2, 44]], [[-2, 44]], [[2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 24], [-1, -24]], [[1, 6], [1, -6]], [[1, 18], 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  • id: 28500451
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 138, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [121, 0, 605, 0, 2178, 0, 3267, 0, 3388, 0, 2189, 0, 1034, 0, 330, 0, 77, 0, 11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.15', 'image_order': 264, 'indicator': 0, 'kernel': '264.a1.a1', 'kernel_order': 2, 'label': '528.41.2n8', 'nt': [132, 20], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 44]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 44]], [[2, 44]], [[-2, 44]], [[2, 22]], [[2, 22]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 24], [-1, -24]], [[1, 6], [1, -6]], [[1, 18], 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  • id: 28500452
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 12, 'counter': 139, 'cyclotomic_n': 132, 'dim': 2, 'faithful': False, 'field': [121, 0, 605, 0, 2178, 0, 3267, 0, 3388, 0, 2189, 0, 1034, 0, 330, 0, 77, 0, 11, 0, 1], 'group': '528.41', 'group_counter': 41, 'group_order': 528, 'image': None, 'image_isoclass': '264.15', 'image_order': 264, 'indicator': 0, 'kernel': '264.a1.a1', 'kernel_order': 2, 'label': '528.41.2n9', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 22]], [[-2, 22]], [[2, 22]], [[-2, 44]], [[-2, 44]], [[2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 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38]], [[1, 10], [1, 34]], [[-1, 10], [-1, 34]], [[-1, 16], [-1, 28]], [[-1, 8], [1, 14]], [[-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 12], [-1, 14], [1, 18], [1, 20], [1, 22], [-1, 26], [-1, 28], [1, 32], [1, 34], [-1, 38]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [1, 10], [1, 12], [-1, 16], [-1, 18], [-1, 20], [1, 26], [-1, 30], [-1, 32], [1, 36], [1, 38]], [[1, 8], [-1, 14], [-1, 30], [1, 36]], [[-1, 2], [1, 20]], [[1, 16], [1, 28]], [[1, 6], [-1, 28], [-1, 38]], [[-1, 16], [-1, 28]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [-1, 10], [-1, 12], [1, 16], [1, 18], [1, 20], [-1, 26], [1, 30], [1, 32], [-1, 36], [-1, 38]], [[-1, 8], [1, 14], [1, 30], [-1, 36]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 12], [1, 14], [-1, 18], [-1, 20], [-1, 22], [1, 26], [1, 28], [-1, 32], [-1, 34], [1, 38]], [[1, 8], [-1, 14], [-1, 30], [1, 36]], [[1, 12], [-1, 32], [-1, 34]], [[1, 2], [-1, 20]], [[2, 1], [-1, 5], [-1, 7], [1, 11], [1, 13], [-1, 17], [-1, 19], [1, 25], [1, 27], [-1, 31], [-1, 33], [1, 37], [1, 39]], [[-1, 13], [-1, 31]], [[1, 1], [-1, 5], [-1, 7], [1, 11], [1, 13], [-1, 17], [-1, 19], [-1, 21], [1, 23], [1, 25], [1, 27], [-1, 31], [-1, 33], [1, 37], [1, 39]], [[1, 15], [-1, 29], [-1, 37]], [[-1, 15], [1, 29], [1, 37]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [1, 13], [1, 15], [-1, 19], [-1, 21], [-1, 23], [-1, 25], [1, 27], [1, 29], [-1, 33], [-1, 35], [1, 39]], [[1, 5], [-1, 17]], [[-2, 1], [1, 5], [1, 7], [-1, 11], [-1, 13], [1, 17], [1, 19], [-1, 25], [-1, 27], [1, 31], [1, 33], [-1, 37], [-1, 39]], [[1, 13], [1, 31]], [[-1, 9], [1, 31], [1, 35]], [[1, 9], [-1, 31], [-1, 35]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 19], [1, 25]], [[-1, 5], [1, 17]], [[-1, 1], [1, 5], [1, 7], [-1, 11], [-1, 13], [1, 17], [1, 19], [1, 21], [-1, 23], [-1, 25], [-1, 27], [1, 31], [1, 33], [-1, 37], [-1, 39]], [[1, 7], [1, 37]], [[-1, 19], [-1, 25]], [[-1, 9], [1, 31], [1, 35]], [[-1, 19], [-1, 25]], [[-1, 15], [1, 29], [1, 37]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 13], [-1, 31]], [[1, 1], [-1, 5], [-1, 7], [1, 11], [1, 13], [-1, 17], [-1, 19], [-1, 21], [1, 23], [1, 25], [1, 27], [-1, 31], [-1, 33], [1, 37], [1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 5], [1, 17]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [1, 13], [1, 15], [-1, 19], [-1, 21], [-1, 23], [-1, 25], [1, 27], [1, 29], [-1, 33], [-1, 35], [1, 39]], [[1, 13], [1, 31]], [[-1, 7], [-1, 37]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [-1, 13], [-1, 15], [1, 19], [1, 21], [1, 23], [1, 25], [-1, 27], [-1, 29], [1, 33], [1, 35], [-1, 39]], [[-1, 7], [-1, 37]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [-1, 13], [-1, 15], [1, 19], [1, 21], [1, 23], [1, 25], [-1, 27], [-1, 29], [1, 33], [1, 35], [-1, 39]], [[2, 1], [-1, 5], [-1, 7], [1, 11], [1, 13], [-1, 17], [-1, 19], [1, 25], [1, 27], [-1, 31], [-1, 33], [1, 37], [1, 39]], [[1, 19], [1, 25]], [[1, 9], [-1, 31], [-1, 35]], [[1, 5], [-1, 17]], [[1, 7], [1, 37]], [[-1, 1], [1, 5], [1, 7], [-1, 11], [-1, 13], [1, 17], [1, 19], [1, 21], [-1, 23], [-1, 25], [-1, 27], [1, 31], [1, 33], [-1, 37], [-1, 39]], [[-2, 1], [1, 5], [1, 7], [-1, 11], [-1, 13], [1, 17], [1, 19], [-1, 25], [-1, 27], [1, 31], [1, 33], [-1, 37], [-1, 39]], [[1, 15], [-1, 29], [-1, 37]]]}
• 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: 108115247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 528, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 66, 'label': '528.41.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '528.41', 'subgroup_hash': 41, 'subgroup_order': 528, 'subgroup_tex': 'D_{22}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 108115258
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 264, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '264.36', 'subgroup_hash': 36, 'subgroup_order': 264, 'subgroup_tex': 'C_6\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115269
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 264, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '264.28', 'subgroup_hash': 28, 'subgroup_order': 264, 'subgroup_tex': 'C_2\\times C_{132}', 'supersolvable': True, 'sylow': 0}
  • id: 108115280
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 264, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '264.16', 'subgroup_hash': 16, 'subgroup_order': 264, 'subgroup_tex': 'C_{22}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 108115291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': True, 'core_order': 176, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 22, 'label': '528.41.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.13', 'subgroup_hash': 13, 'subgroup_order': 176, 'subgroup_tex': 'D_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 108115302
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 132, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '132.10', 'subgroup_hash': 10, 'subgroup_order': 132, 'subgroup_tex': 'C_2\\times C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 108115312
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 132, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '132.7', 'subgroup_hash': 7, 'subgroup_order': 132, 'subgroup_tex': 'C_3\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115313
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 132, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '132.7', 'subgroup_hash': 7, 'subgroup_order': 132, 'subgroup_tex': 'C_3\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115314
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 66, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, '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': '132.7', 'subgroup_hash': 7, 'subgroup_order': 132, 'subgroup_tex': 'C_3\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115248
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 66, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, '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': '132.2', 'subgroup_hash': 2, 'subgroup_order': 132, 'subgroup_tex': 'C_{11}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 108115249
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 66, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, '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': '132.7', 'subgroup_hash': 7, 'subgroup_order': 132, 'subgroup_tex': 'C_3\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115250
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': False, 'core_order': 66, 'counter': 12, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '528.41.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, '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': '132.4', 'subgroup_hash': 4, 'subgroup_order': 132, 'subgroup_tex': 'C_{132}', 'supersolvable': True, 'sylow': 0}
  • id: 108115251
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 88, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.11', 'subgroup_hash': 11, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115252
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 88, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.8', 'subgroup_hash': 8, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 108115253
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 88, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 108115254
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 66, 'counter': 16, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 108115255
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 66, 'counter': 17, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 108115256
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 66, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 108115257
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 33, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66.2', 'subgroup_hash': 2, 'subgroup_order': 66, 'subgroup_tex': 'C_3\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 108115259
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 33, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66.2', 'subgroup_hash': 2, 'subgroup_order': 66, 'subgroup_tex': 'C_3\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 108115260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '528.41.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 108115261
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 44, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115262
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 44, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115263
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 44, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.12.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115264
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 22, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115265
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 22, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 108115266
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 22, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115267
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': False, 'core_order': 22, 'counter': 28, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '528.41.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 108115268
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 33, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 33, 'label': '528.41.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 108115270
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 24, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '22.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '22.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 22, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{11}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, '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: 108115271
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.22.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 108115272
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.22.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, '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: 108115273
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 22, 'counter': 33, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115274
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 22, 'counter': 34, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115275
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 22, 'counter': 35, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 108115276
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 11, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 108115277
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 11, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.24.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 108115278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 8, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '528.41.33.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '33.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 33, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 2}
  • id: 108115279
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 528, 'characteristic': True, 'core_order': 12, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '44.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], '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: 108115281
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.44.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, '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: 108115282
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 41, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '528.41.44.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, '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: 108115283
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.44.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, '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: 108115284
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.44.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, '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: 108115285
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.44.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, '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: 108115286
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': False, 'core_order': 6, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '528.41.44.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, '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: 108115287
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 11, 'counter': 46, 'cyclic': True, 'direct': False, 'hall': 11, 'label': '528.41.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{12}', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 108115288
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 8, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.66.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '66.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '66.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 66, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 108115289
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.66.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 108115290
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.66.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 108115292
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 528, 'characteristic': True, 'core_order': 6, 'counter': 50, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.88.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '88.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{44}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 108115293
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 528, 'characteristic': True, 'core_order': 6, 'counter': 51, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.88.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '88.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 108115294
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 528, 'characteristic': True, 'core_order': 6, 'counter': 52, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.88.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '88.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 108115295
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 3, 'counter': 53, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '528.41.88.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, '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: 108115296
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 3, 'counter': 54, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '528.41.88.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, '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: 108115297
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 528, 'characteristic': True, 'core_order': 4, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '528.41.132.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '132.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '132.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 132, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{22}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], '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: 108115298
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.132.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '132.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, '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: 108115299
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 57, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '528.41.132.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '132.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, '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: 108115300
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.132.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '132.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, '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: 108115301
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.132.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '132.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, '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: 108115303
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '528.41.132.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '132.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, '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: 108115304
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 264, 'characteristic': False, 'core_order': 2, 'counter': 61, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '528.41.132.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '132.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, '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: 108115305
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 528, 'characteristic': True, 'core_order': 3, 'counter': 62, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '528.41.176.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '176.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '176.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}:C_4', '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: 108115306
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 528, 'characteristic': True, 'core_order': 2, 'counter': 63, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.264.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '264.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '264.15', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 264, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{44}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 108115307
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 528, 'characteristic': True, 'core_order': 2, 'counter': 64, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.264.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '264.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '264.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 264, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_{11}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 108115308
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 528, 'characteristic': True, 'core_order': 2, 'counter': 65, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '528.41.264.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '264.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '264.17', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 264, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}:D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 108115309
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '528.41.264.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '264.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 264, '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: 108115310
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '528.41.264.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '264.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 264, '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: 108115311
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '528.41', 'ambient_counter': 41, 'ambient_order': 528, 'ambient_tex': 'D_{22}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 528, 'characteristic': True, 'core_order': 1, 'counter': 68, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '528.41.528.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '528.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '528.41', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 41, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 528, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C6'], '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: 108115247
    {'ambient': '528.41', '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': '44.a1.a1', 'complements': ['528.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '3.a1.a1', '11.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8111, 4223, 1973, 3405, 6855, 5077, 7285, 4226], 'generators': [1, 48, 352, 2, 132, 264], 'label': '528.41.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '3.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '44.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 108115248
    {'ambient': '528.41', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 8, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.a1.a1', '12.d1.a1', '44.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7040, -1, 3189, -1, 5621, -1, 6219, -1], 'generators': [255, 266, 48, 352], 'label': '528.41.4.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.d1.a1', 'projective_image': '88.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 108115249
    {'ambient': '528.41', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 8, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.d1.a1', '8.d1.b1', '12.e1.a1', '44.e1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4174, -1, 7371, -1, 4092, -1, 4187, -1], 'generators': [1, 352, 48, 264], 'label': '528.41.4.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '88.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 108115250
    {'ambient': '528.41', 'aut_centralizer_order': 44, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 88, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.c1.a1', '12.f1.a1', '44.f1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9501, -1, 744, -1, 9824, -1, 9848, -1], 'generators': [132, 48, 264, 352], 'label': '528.41.4.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.f1.a1', 'projective_image': '88.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115251
    {'ambient': '528.41', 'aut_centralizer_order': 8, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '440.42', 'aut_weyl_index': 8, 'centralizer': '44.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.b1.b1', '12.c1.a1', '12.e1.a1', '66.b1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5895, 7526, 6188, 6338, 3312, 2445, 4861, 7898], 'generators': [1, 264, 48, 2], 'label': '528.41.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '132.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 108115252
    {'ambient': '528.41', 'aut_centralizer_order': 88, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '40.14', 'aut_weyl_index': 88, 'centralizer': '2.b1.a1', 'complements': ['88.d1.a1', '88.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.f1.a1', '66.a1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9055, 1785, 1142, 1386, 9245, 7678, 9348, 1997], 'generators': [2, 48, 264, 132], 'label': '528.41.6.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.b1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '66.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '132.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115253
    {'ambient': '528.41', 'aut_centralizer_order': 8, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '440.42', 'aut_weyl_index': 8, 'centralizer': '44.a1.a1', 'complements': ['88.d1.a1', '88.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.a1', '66.c1.a1'], 'core': '6.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7502, 3627, 2685, 3090, 7216, 4308, 7597, 4896], 'generators': [255, 266, 48, 264], 'label': '528.41.6.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1.a1', 'normal_contained_in': ['2.c1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '132.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 108115254
    {'ambient': '528.41', 'aut_centralizer_order': 176, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 176, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.c1.a1', '4.d1.a1'], 'contains': ['16.a1.a1', '24.a1.a1', '88.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3281, 4172, 5277, 5528, 4667, 5678, 5530, 3972], 'generators': [266, 48, 352], 'label': '528.41.8.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1', '88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '88.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115255
    {'ambient': '528.41', 'aut_centralizer_order': 176, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 176, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'contains': ['16.a1.a1', '24.b1.a1', '88.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1244, 8205, 9662, 8709, 1894, 3194, 1636, 6109], 'generators': [2, 48, 352], 'label': '528.41.8.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'normal_contains': ['16.a1.a1', '24.b1.a1', '88.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '88.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115256
    {'ambient': '528.41', 'aut_centralizer_order': 176, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 176, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.e1.a1', '4.f1.a1'], 'contains': ['16.a1.a1', '24.c1.a1', '88.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4609, 6929, 4690, 6386, 6396, 6545, 6392, 3226], 'generators': [264, 48, 352], 'label': '528.41.8.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.c1.a1', '88.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '88.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115257
    {'ambient': '528.41', 'aut_centralizer_order': 4, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '220.7', 'aut_weyl_index': 16, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.c1.a1', '4.e1.a1'], 'contains': ['16.a1.a1', '24.d1.a1', '88.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [383, -1, 8553, -1, 1333, -1, 804, -1], 'generators': [1, 48, 352], 'label': '528.41.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '176.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 108115258
    {'ambient': '528.41', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '880.210', 'aut_weyl_index': 4, 'centralizer': '44.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '4.c1.a1', '4.e1.a1', '6.a1.a1', '22.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4174, 7166, 6308, 6338, 3312, 2494, 3879, 6414], 'generators': [1, 264, 352, 2, 48], 'label': '528.41.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '44.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 108115259
    {'ambient': '528.41', 'aut_centralizer_order': 4, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '220.7', 'aut_weyl_index': 16, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '4.c1.a1', '4.e1.a1'], 'contains': ['16.a1.a1', '24.d1.b1', '88.d1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [383, -1, 7795, -1, 1333, -1, 2644, -1], 'generators': [25, 48, 352], 'label': '528.41.8.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '176.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 108115260
    {'ambient': '528.41', 'aut_centralizer_order': 10, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '32.51', 'aut_weyl_index': 110, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.a1.a1', '22.b1.a1', '22.c1.a1', '33.a1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8273, -1, 1451, -1, 6855, -1, 7285, -1], 'generators': [1, 264, 132, 352, 2], 'label': '528.41.11.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '44.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 108115261
    {'ambient': '528.41', 'aut_centralizer_order': 352, 'aut_label': '12.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 352, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '132.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5938, 5602, 4339, 4348, 5835, 4436, 6877, 5040], 'generators': [2, 48, 264], 'label': '528.41.12.a1.a1', 'mobius_quo': -2, 'mobius_sub': -2, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'normal_contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '132.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115262
    {'ambient': '528.41', 'aut_centralizer_order': 8, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 16, 'centralizer': '44.a1.a1', 'complements': ['44.f1.a1', '44.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1'], 'contains': ['24.b1.a1', '24.d1.a1', '132.d1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1911, 9254, 9838, 7728, 767, 2316, 1293, 7898], 'generators': [1, 48, 2], 'label': '528.41.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '264.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 108115263
    {'ambient': '528.41', 'aut_centralizer_order': 8, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 16, 'centralizer': '44.a1.a1', 'complements': ['44.f1.a1', '44.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '6.a1.a1'], 'contains': ['24.b1.a1', '24.d1.b1', '132.d1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1911, 9254, 9140, 9309, 767, 2316, 3133, 6863], 'generators': [25, 48, 2], 'label': '528.41.12.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1.b1', 'normal_contained_in': ['4.b1.b1', '6.a1.a1'], 'normal_contains': ['24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.b1', 'projective_image': '264.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.b1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 108115264
    {'ambient': '528.41', 'aut_centralizer_order': 8, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 16, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '24.d1.b1', '132.b1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2646, -1, 6618, -1, 2897, -1, 4526, -1], 'generators': [1, 48, 266], 'label': '528.41.12.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '264.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 108115265
    {'ambient': '528.41', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 16, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '132.c1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7281, -1, 3096, -1, 7252, -1, 7762, -1], 'generators': [255, 48, 266], 'label': '528.41.12.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '12.d1.a1', 'projective_image': '264.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 108115266
    {'ambient': '528.41', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 16, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.a1.a1'], 'contains': ['24.c1.a1', '24.d1.a1', '24.d1.b1', '132.e1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4872, -1, 7029, -1, 4270, -1, 5188, -1], 'generators': [1, 48, 264], 'label': '528.41.12.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '264.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 108115267
    {'ambient': '528.41', 'aut_centralizer_order': 88, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '20.5', 'aut_weyl_index': 176, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.b1.a1'], 'contains': ['24.c1.a1', '132.f1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9214, -1, 804, -1, 9320, -1, 9548, -1], 'generators': [132, 264, 48], 'label': '528.41.12.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.f1.a1', 'projective_image': '264.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115268
    {'ambient': '528.41', 'aut_centralizer_order': 176, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 176, 'centralizer': '2.b1.a1', 'complements': ['33.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.d1.b1'], 'contains': ['48.a1.a1', '176.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [982, 7557, 7967, 7738, 3325, 4929, 2925, 4811], 'generators': [352, 48], 'label': '528.41.16.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['48.a1.a1', '176.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '176.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115269
    {'ambient': '528.41', 'aut_centralizer_order': 44, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '80.52', 'aut_weyl_index': 44, 'centralizer': '2.b1.a1', 'complements': ['264.d1.a1', '264.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.f1.a1', '6.b1.a1', '22.a1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9055, 2485, 1123, 1624, 8518, 7669, 8720, 2005], 'generators': [2, 352, 48, 132, 264], 'label': '528.41.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '6.b1.a1', '22.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '44.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115270
    {'ambient': '528.41', 'aut_centralizer_order': 440, 'aut_label': '22.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 440, 'centralizer': '2.b1.a1', 'complements': ['24.d1.a1', '24.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.f1.a1', '66.a1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9055, 746, 804, 691, 8518, 9285, 8720, 615], 'generators': [2, 132, 352, 264], 'label': '528.41.22.a1.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '22.a1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['44.a1.a1', '66.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '44.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115271
    {'ambient': '528.41', 'aut_centralizer_order': 40, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '8.5', 'aut_weyl_index': 440, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.b1.a1', '44.d1.a1', '44.d1.b1', '44.e1.a1', '66.b1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4358, -1, 3711, -1, 2550, -1, 3567, -1], 'generators': [1, 2, 264, 352], 'label': '528.41.22.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.b1.a1', 'projective_image': '44.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115272
    {'ambient': '528.41', 'aut_centralizer_order': 40, 'aut_label': '22.c1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '8.5', 'aut_weyl_index': 440, 'centralizer': '22.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.c1.a1', '66.c1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6998, -1, 2089, -1, 6418, -1, 6908, -1], 'generators': [255, 264, 352, 266], 'label': '528.41.22.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.c1.a1', 'projective_image': '44.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115273
    {'ambient': '528.41', 'aut_centralizer_order': 352, 'aut_label': '24.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 352, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.c1.a1', '12.d1.a1'], 'contains': ['48.a1.a1', '264.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3375, 4573, 5785, 4623, 4769, 4061, 5465, 5557], 'generators': [266, 48], 'label': '528.41.24.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '264.15', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115274
    {'ambient': '528.41', 'aut_centralizer_order': 352, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 352, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.a1', '12.b1.b1'], 'contains': ['48.a1.a1', '264.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1443, 8596, 9838, 8511, 2933, 3194, 3264, 6303], 'generators': [2, 48], 'label': '528.41.24.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.a1', '12.b1.b1'], 'normal_contains': ['48.a1.a1', '264.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '264.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115275
    {'ambient': '528.41', 'aut_centralizer_order': 352, 'aut_label': '24.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 352, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1', '12.e1.a1', '12.f1.a1'], 'contains': ['48.a1.a1', '264.c1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5707, 6384, 4677, 6519, 5848, 6506, 6396, 3455], 'generators': [264, 48], 'label': '528.41.24.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.c1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '264.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '264.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115276
    {'ambient': '528.41', 'aut_centralizer_order': 8, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '110.1', 'aut_weyl_index': 32, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.b1.a1', '12.c1.a1', '12.e1.a1'], 'contains': ['48.a1.a1', '264.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1911, -1, 9135, -1, 2215, -1, 2582, -1], 'generators': [1, 48], 'label': '528.41.24.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '528.41', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 108115277
    {'ambient': '528.41', 'aut_centralizer_order': 8, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '110.1', 'aut_weyl_index': 32, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '12.b1.b1', '12.c1.a1', '12.e1.a1'], 'contains': ['48.a1.a1', '264.d1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1911, -1, 8128, -1, 2215, -1, 4199, -1], 'generators': [25, 48], 'label': '528.41.24.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.d1.b1', 'projective_image': '528.41', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.b1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 108115278
    {'ambient': '528.41', 'aut_centralizer_order': 20, 'aut_label': '33.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '16.14', 'aut_weyl_index': 220, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.a1'], 'contains': ['66.a1.a1', '66.b1.a1', '66.c1.a1'], 'core': '66.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8326, -1, 1502, -1, 7903, -1, 8190, -1], 'generators': [1, 132], 'label': '528.41.33.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '33.a1.a1', 'projective_image': '132.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 108115279
    {'ambient': '528.41', 'aut_centralizer_order': 1760, 'aut_label': '44.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.a1.a1', '22.b1.a1', '22.c1.a1'], 'contains': ['88.a1.a1', '88.b1.a1', '88.c1.a1', '132.a1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5213, 3586, 3457, 4005, 5166, 7649, 5961, 2276], 'generators': [2, 264, 352], 'label': '528.41.44.a1.a1', 'mobius_quo': -2, 'mobius_sub': -22, 'normal_closure': '44.a1.a1', 'normal_contained_in': ['4.a1.a1', '22.a1.a1'], 'normal_contains': ['88.a1.a1', '88.b1.a1', '88.c1.a1', '132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.a1.a1', 'projective_image': '44.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '44.3', 'quotient_action_kernel_order': 44, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115280
    {'ambient': '528.41', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '880.210', 'aut_weyl_index': 4, 'centralizer': '44.a1.a1', 'complements': ['264.d1.a1', '264.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '6.c1.a1', '22.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7040, 4820, 2653, 3957, 6004, 5855, 6550, 3565], 'generators': [255, 352, 266, 264, 48], 'label': '528.41.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '6.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '44.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 108115281
    {'ambient': '528.41', 'aut_centralizer_order': 40, 'aut_label': '44.b1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 880, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '22.b1.a1'], 'contains': ['88.a1.a1', '88.d1.a1', '88.d1.b1', '132.b1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1790, -1, 5092, -1, 2394, -1, 3567, -1], 'generators': [1, 266, 352], 'label': '528.41.44.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.b1.a1', 'projective_image': '88.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115282
    {'ambient': '528.41', 'aut_centralizer_order': 40, 'aut_label': '44.c1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 880, 'centralizer': '22.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '22.c1.a1'], 'contains': ['88.a1.a1', '132.c1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6798, -1, 2541, -1, 6789, -1, 7362, -1], 'generators': [255, 352, 266], 'label': '528.41.44.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.c1.a1', 'old_label': '44.c1.a1', 'projective_image': '88.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115283
    {'ambient': '528.41', 'aut_centralizer_order': 40, 'aut_label': '44.d1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 880, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '22.b1.a1'], 'contains': ['88.b1.a1', '88.d1.a1', '132.d1.a1'], 'core': '88.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [876, -1, 7855, -1, 263, -1, 227, -1], 'generators': [1, 2, 352], 'label': '528.41.44.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.d1.a1', 'projective_image': '88.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115284
    {'ambient': '528.41', 'aut_centralizer_order': 40, 'aut_label': '44.d1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 880, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '22.b1.a1'], 'contains': ['88.b1.a1', '88.d1.b1', '132.d1.b1'], 'core': '88.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [876, -1, 7227, -1, 263, -1, 2067, -1], 'generators': [25, 2, 352], 'label': '528.41.44.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.d1.b1', 'projective_image': '88.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115285
    {'ambient': '528.41', 'aut_centralizer_order': 40, 'aut_label': '44.e1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 880, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '22.b1.a1'], 'contains': ['88.c1.a1', '88.d1.a1', '88.d1.b1', '132.e1.a1'], 'core': '88.c1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3901, -1, 6248, -1, 3766, -1, 4091, -1], 'generators': [1, 264, 352], 'label': '528.41.44.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.e1.a1', 'projective_image': '88.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115286
    {'ambient': '528.41', 'aut_centralizer_order': 440, 'aut_label': '44.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 880, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '22.a1.a1'], 'contains': ['88.c1.a1', '132.f1.a1'], 'core': '88.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9192, -1, 162, -1, 8928, -1, 9209, -1], 'generators': [132, 352, 264], 'label': '528.41.44.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '44.f1.a1', 'projective_image': '88.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115287
    {'ambient': '528.41', 'aut_centralizer_order': 352, 'aut_label': '48.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 352, 'centralizer': '2.b1.a1', 'complements': ['11.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '24.d1.a1', '24.d1.b1'], 'contains': ['528.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2913, 8853, 9135, 7243, 3646, 4929, 3891, 4811], 'generators': [48], 'label': '528.41.48.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1'], 'normal_contains': ['528.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '528.41', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115288
    {'ambient': '528.41', 'aut_centralizer_order': 880, 'aut_label': '66.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 880, 'centralizer': '2.b1.a1', 'complements': ['8.d1.a1', '8.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '22.a1.a1', '33.a1.a1'], 'contains': ['132.a1.a1', '132.f1.a1'], 'core': '66.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9329, 1754, 749, 1652, 8429, 8990, 8778, 1123], 'generators': [2, 132], 'label': '528.41.66.a1.a1', 'mobius_quo': 0, 'mobius_sub': -11, 'normal_closure': '66.a1.a1', 'normal_contained_in': ['6.b1.a1', '22.a1.a1'], 'normal_contains': ['132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '66.a1.a1', 'projective_image': '132.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '66.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115289
    {'ambient': '528.41', 'aut_centralizer_order': 80, 'aut_label': '66.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 880, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '22.b1.a1', '33.a1.a1'], 'contains': ['132.a1.a1', '132.b1.a1', '132.d1.a1', '132.d1.b1', '132.e1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5586, -1, 5346, -1, 3280, -1, 4857, -1], 'generators': [1, 2, 264], 'label': '528.41.66.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '66.b1.a1', 'projective_image': '132.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115290
    {'ambient': '528.41', 'aut_centralizer_order': 80, 'aut_label': '66.c1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 880, 'centralizer': '22.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '22.c1.a1', '33.a1.a1'], 'contains': ['132.a1.a1', '132.c1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7585, -1, 1977, -1, 7823, -1, 8255, -1], 'generators': [255, 264], 'label': '528.41.66.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '66.c1.a1', 'projective_image': '132.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115291
    {'ambient': '528.41', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1760.1272', 'aut_weyl_index': 2, 'centralizer': '44.a1.a1', 'complements': ['176.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '33.a1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8526, 3627, 1973, 2843, 7542, 4308, 7878, 4896], 'generators': [1, 2, 264, 132, 48], 'label': '528.41.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '132.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 108115292
    {'ambient': '528.41', 'aut_centralizer_order': 1760, 'aut_label': '88.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.a1.a1', '44.b1.a1', '44.c1.a1'], 'contains': ['176.a1.a1', '264.a1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3654, 4255, 4085, 4881, 4413, 8103, 5157, 2081], 'generators': [266, 352], 'label': '528.41.88.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '88.a1.a1', 'normal_contained_in': ['8.a1.a1', '44.a1.a1'], 'normal_contains': ['176.a1.a1', '264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.a1.a1', 'projective_image': '88.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '88.5', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '88.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115293
    {'ambient': '528.41', 'aut_centralizer_order': 1760, 'aut_label': '88.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '44.a1.a1', '44.d1.a1', '44.d1.b1'], 'contains': ['176.a1.a1', '264.b1.a1'], 'core': '88.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1044, 7619, 7958, 7548, 2576, 5717, 2271, 4133], 'generators': [2, 352], 'label': '528.41.88.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '88.b1.a1', 'normal_contained_in': ['8.b1.a1', '44.a1.a1'], 'normal_contains': ['176.a1.a1', '264.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.b1.a1', 'projective_image': '88.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '88.4', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '88.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115294
    {'ambient': '528.41', 'aut_centralizer_order': 1760, 'aut_label': '88.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '44.a1.a1', '44.e1.a1', '44.f1.a1'], 'contains': ['176.a1.a1', '264.c1.a1'], 'core': '88.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4656, 5623, 4464, 5605, 5491, 8813, 5773, 1471], 'generators': [264, 352], 'label': '528.41.88.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '88.c1.a1', 'normal_contained_in': ['8.c1.a1', '44.a1.a1'], 'normal_contains': ['176.a1.a1', '264.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.c1.a1', 'projective_image': '88.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '88.7', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '88.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115295
    {'ambient': '528.41', 'aut_centralizer_order': 40, 'aut_label': '88.d1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '44.b1.a1', '44.d1.a1', '44.e1.a1'], 'contains': ['176.a1.a1', '264.d1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1696, -1, 7296, -1, 1854, -1, 1678, -1], 'generators': [1, 352], 'label': '528.41.88.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.d1.a1', 'projective_image': '176.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115296
    {'ambient': '528.41', 'aut_centralizer_order': 40, 'aut_label': '88.d1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '44.b1.a1', '44.d1.b1', '44.e1.a1'], 'contains': ['176.a1.a1', '264.d1.b1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1696, -1, 6954, -1, 1854, -1, 3571, -1], 'generators': [25, 352], 'label': '528.41.88.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.d1.b1', 'projective_image': '176.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115297
    {'ambient': '528.41', 'aut_centralizer_order': 3520, 'aut_label': '132.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3520, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '44.a1.a1', '66.a1.a1', '66.b1.a1', '66.c1.a1'], 'contains': ['264.a1.a1', '264.b1.a1', '264.c1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6059, 4728, 3341, 3748, 5148, 7344, 6069, 2734], 'generators': [2, 264], 'label': '528.41.132.a1.a1', 'mobius_quo': 2, 'mobius_sub': 22, 'normal_closure': '132.a1.a1', 'normal_contained_in': ['12.a1.a1', '44.a1.a1', '66.a1.a1'], 'normal_contains': ['264.a1.a1', '264.b1.a1', '264.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '132.a1.a1', 'projective_image': '132.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '132.7', 'quotient_action_kernel_order': 132, 'quotient_fusion': None, 'short_label': '132.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115298
    {'ambient': '528.41', 'aut_centralizer_order': 80, 'aut_label': '132.b1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '44.b1.a1', '66.b1.a1'], 'contains': ['264.a1.a1', '264.d1.a1', '264.d1.b1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3244, -1, 5250, -1, 3704, -1, 4530, -1], 'generators': [1, 266], 'label': '528.41.132.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '132.b1.a1', 'projective_image': '264.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115299
    {'ambient': '528.41', 'aut_centralizer_order': 80, 'aut_label': '132.c1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '22.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '44.c1.a1', '66.c1.a1'], 'contains': ['264.a1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7018, -1, 2528, -1, 7020, -1, 7562, -1], 'generators': [255], 'label': '528.41.132.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.c1.a1', 'old_label': '132.c1.a1', 'projective_image': '264.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115300
    {'ambient': '528.41', 'aut_centralizer_order': 80, 'aut_label': '132.d1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '44.d1.a1', '66.b1.a1'], 'contains': ['264.b1.a1', '264.d1.a1'], 'core': '264.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [735, -1, 9265, -1, 1511, -1, 1974, -1], 'generators': [1, 2], 'label': '528.41.132.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '132.d1.a1', 'projective_image': '264.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115301
    {'ambient': '528.41', 'aut_centralizer_order': 80, 'aut_label': '132.d1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.b1', '44.d1.b1', '66.b1.a1'], 'contains': ['264.b1.a1', '264.d1.b1'], 'core': '264.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [735, -1, 8535, -1, 1511, -1, 3868, -1], 'generators': [25, 2], 'label': '528.41.132.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '132.d1.b1', 'projective_image': '264.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115302
    {'ambient': '528.41', 'aut_centralizer_order': 176, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 176, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '12.a1.a1', '44.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5035, 5572, 4602, 4919, 4823, 6072, 5530, 3379], 'generators': [2, 352, 48, 264], 'label': '528.41.4.a1.a1', 'mobius_quo': 2, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '12.a1.a1', '44.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '44.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108115303
    {'ambient': '528.41', 'aut_centralizer_order': 80, 'aut_label': '132.e1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '44.e1.a1', '66.b1.a1'], 'contains': ['264.c1.a1', '264.d1.a1', '264.d1.b1'], 'core': '264.c1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [5071, -1, 6197, -1, 4070, -1, 4853, -1], 'generators': [1, 264], 'label': '528.41.132.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '132.e1.a1', 'projective_image': '264.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115304
    {'ambient': '528.41', 'aut_centralizer_order': 880, 'aut_label': '132.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '44.f1.a1', '66.a1.a1'], 'contains': ['264.c1.a1'], 'core': '264.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9617, -1, 1049, -1, 8678, -1, 8994, -1], 'generators': [132], 'label': '528.41.132.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '66.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '132.f1.a1', 'projective_image': '264.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115305
    {'ambient': '528.41', 'aut_centralizer_order': 1760, 'aut_label': '176.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1760, 'centralizer': '1.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '88.a1.a1', '88.b1.a1', '88.c1.a1', '88.d1.a1', '88.d1.b1'], 'contains': ['528.a1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1895, 7248, 7232, 6910, 3289, 7137, 3306, 2912], 'generators': [352], 'label': '528.41.176.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '176.a1.a1', 'normal_contained_in': ['16.a1.a1', '88.a1.a1', '88.b1.a1', '88.c1.a1'], 'normal_contains': ['528.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '176.a1.a1', 'projective_image': '176.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '176.13', 'quotient_action_kernel_order': 176, 'quotient_fusion': None, 'short_label': '176.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115306
    {'ambient': '528.41', 'aut_centralizer_order': 3520, 'aut_label': '264.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3520, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '88.a1.a1', '132.a1.a1', '132.b1.a1', '132.c1.a1'], 'contains': ['528.a1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4038, 4316, 4154, 4500, 4591, 6427, 5311, 3523], 'generators': [266], 'label': '528.41.264.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '264.a1.a1', 'normal_contained_in': ['24.a1.a1', '88.a1.a1', '132.a1.a1'], 'normal_contains': ['528.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '264.a1.a1', 'projective_image': '264.15', 'quotient_action_image': '1.1', 'quotient_action_kernel': '264.15', 'quotient_action_kernel_order': 264, 'quotient_fusion': None, 'short_label': '264.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115307
    {'ambient': '528.41', 'aut_centralizer_order': 3520, 'aut_label': '264.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3520, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '88.b1.a1', '132.a1.a1', '132.d1.a1', '132.d1.b1'], 'contains': ['528.a1.a1'], 'core': '264.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1134, 7814, 8826, 7501, 2933, 5717, 3583, 4133], 'generators': [2], 'label': '528.41.264.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '264.b1.a1', 'normal_contained_in': ['24.b1.a1', '88.b1.a1', '132.a1.a1'], 'normal_contains': ['528.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '264.b1.a1', 'projective_image': '264.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '264.14', 'quotient_action_kernel_order': 264, 'quotient_fusion': None, 'short_label': '264.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115308
    {'ambient': '528.41', 'aut_centralizer_order': 3520, 'aut_label': '264.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3520, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '88.c1.a1', '132.a1.a1', '132.e1.a1', '132.f1.a1'], 'contains': ['528.a1.a1'], 'core': '264.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5407, 5818, 4856, 6024, 5317, 7847, 5919, 2302], 'generators': [264], 'label': '528.41.264.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '264.c1.a1', 'normal_contained_in': ['24.c1.a1', '88.c1.a1', '132.a1.a1'], 'normal_contains': ['528.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '264.c1.a1', 'projective_image': '264.17', 'quotient_action_image': '1.1', 'quotient_action_kernel': '264.17', 'quotient_action_kernel_order': 264, 'quotient_fusion': None, 'short_label': '264.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115309
    {'ambient': '528.41', 'aut_centralizer_order': 80, 'aut_label': '264.d1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3520, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '88.d1.a1', '132.b1.a1', '132.d1.a1', '132.e1.a1'], 'contains': ['528.a1.a1'], 'core': '528.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1602, -1, 7560, -1, 2416, -1, 2805, -1], 'generators': [1], 'label': '528.41.264.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '264.d1.a1', 'projective_image': '528.41', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115310
    {'ambient': '528.41', 'aut_centralizer_order': 80, 'aut_label': '264.d1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3520, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.b1', '88.d1.b1', '132.b1.a1', '132.d1.b1', '132.e1.a1'], 'contains': ['528.a1.a1'], 'core': '528.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1602, -1, 6932, -1, 2416, -1, 4199, -1], 'generators': [25], 'label': '528.41.264.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '264.d1.b1', 'projective_image': '528.41', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115311
    {'ambient': '528.41', 'aut_centralizer_order': None, 'aut_label': '528.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '176.a1.a1', '264.a1.a1', '264.b1.a1', '264.c1.a1', '264.d1.a1', '264.d1.b1'], 'contains': [], 'core': '528.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2042, 7248, 7232, 6910, 3468, 6427, 3891, 3523], 'generators': [], 'label': '528.41.528.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '528.a1.a1', 'normal_contained_in': ['48.a1.a1', '176.a1.a1', '264.a1.a1', '264.b1.a1', '264.c1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '528.a1.a1', 'projective_image': '528.41', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108115312
    {'ambient': '528.41', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 8, 'centralizer': '44.a1.a1', 'complements': ['132.f1.a1', '132.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '12.b1.a1', '44.d1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [546, 8668, 9723, 7519, 1101, 720, 1293, 9381], 'generators': [1, 352, 48, 2], 'label': '528.41.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '88.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 108115313
    {'ambient': '528.41', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 8, 'centralizer': '44.a1.a1', 'complements': ['132.f1.a1', '132.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.d1.b1', '12.b1.b1', '44.d1.b1'], 'core': '4.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [546, 8668, 8965, 9082, 1101, 720, 2317, 6414], 'generators': [25, 352, 48, 2], 'label': '528.41.4.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '12.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.b1', 'projective_image': '88.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 108115314
    {'ambient': '528.41', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 8, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '12.c1.a1', '44.b1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2447, -1, 6612, -1, 1832, -1, 2948, -1], 'generators': [1, 352, 48, 266], 'label': '528.41.4.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '88.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}