Abstract group data - 1456.23

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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': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 1092, 'aut_gen_orders': [12, 182, 12, 26, 6, 78], 'aut_gens': [[1, 2, 208], [81, 134, 1040], [61, 1406, 208], [141, 554, 416], [57, 574, 1248], [1, 86, 1040], [25, 158, 416]], 'aut_group': None, 'aut_hash': 3056691189573125153, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 104832, 'aut_permdeg': 80, 'aut_perms': [17138783681280063338251273622449214326124011395095826677929434729891511667751001988846125569570971053049044935799823077, 13446737703792382238894078390058400729703309265897674247071858623895870132227860994303577822351911148847570452107627764, 32331872183319753918317067401435810702603066857456347690624936835023759967033437811428818623018024053091426394384745120, 36121479348736483495430378292361372417311994380881591658634379717993203561395617232237914852080851761743429803217230531, 17017990633548693806072065069830535400706128300075859212648687858244747956990334244365342314531648926453577663329928568, 36264920520633999928855858580083938240714954130168604325806636880419130900824360012151558181716781644940065179391939729], 'aut_phi_ratio': 182.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 2, 1, 1], [4, 52, 1, 1], [4, 364, 1, 1], [7, 2, 3, 1], [8, 14, 2, 1], [13, 2, 6, 1], [14, 2, 3, 1], [26, 2, 6, 1], [28, 4, 3, 1], [28, 52, 6, 1], [52, 2, 12, 1], [91, 4, 18, 1], [104, 14, 24, 1], [182, 4, 18, 1], [364, 4, 36, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{91}.C_6^2.C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 1092, 'autcentquo_group': None, 'autcentquo_hash': 4561508715288868924, 'autcentquo_nilpotent': False, 'autcentquo_order': 26208, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_{91}.C_6^2.C_2^3', 'cc_stats': [[1, 1, 1], [2, 1, 1], [4, 2, 1], [4, 52, 1], [4, 364, 1], [7, 2, 3], [8, 14, 2], [13, 2, 6], [14, 2, 3], [26, 2, 6], [28, 4, 3], [28, 52, 6], [52, 2, 12], [91, 4, 18], [104, 14, 24], [182, 4, 18], [364, 4, 36]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '728.11', 'commutator_count': 1, 'commutator_label': '364.4', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '7.1', '13.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 23, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 2, 1, 1], [4, 52, 1, 1], [4, 364, 1, 1], [7, 2, 3, 1], [8, 14, 2, 1], [13, 2, 6, 1], [14, 2, 3, 1], [26, 2, 6, 1], [28, 4, 3, 1], [28, 52, 6, 1], [52, 2, 12, 1], [91, 4, 18, 1], [104, 14, 24, 1], [182, 4, 18, 1], [364, 4, 36, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6, 'exponent': 728, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 3, 7, 13], 'factors_of_order': [2, 7, 13], 'faithful_reps': [[4, -1, 36]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '364.7', 'hash': 23, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 364, 'inner_gen_orders': [2, 52, 7], 'inner_gens': [[1, 206, 208], [5, 2, 1248], [1, 418, 208]], 'inner_hash': 11, 'inner_nilpotent': False, 'inner_order': 728, 'inner_split': True, 'inner_tex': 'C_7:D_{52}', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 144, 'irrQ_dim': 288, 'irrR_degree': 8, 'irrep_stats': [[1, 4], [2, 63], [4, 75]], 'label': '1456.23', 'linC_count': 324, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 22, 'linQ_degree_count': 4, 'linQ_dim': 26, 'linQ_dim_count': 4, 'linR_count': 144, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C91:Q16', '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': 17, 'number_characteristic_subgroups': 18, 'number_conjugacy_classes': 142, 'number_divisions': 17, 'number_normal_subgroups': 18, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 36, 'number_subgroups': 560, 'old_label': None, 'order': 1456, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 1], [4, 418], [7, 6], [8, 28], [13, 12], [14, 6], [26, 12], [28, 324], [52, 24], [91, 72], [104, 336], [182, 72], [364, 144]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 6, 12], 'outer_gen_pows': [52, 0, 1248], 'outer_gens': [[157, 50, 208], [1, 154, 832], [1, 402, 208]], 'outer_group': '144.178', 'outer_hash': 178, 'outer_nilpotent': True, 'outer_order': 144, 'outer_permdeg': 14, 'outer_perms': [39916800, 6227021040, 1169283], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_6\\times C_{12}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 1], [4, 1], [6, 2], [12, 4], [24, 1], [48, 1], [72, 2], [144, 1]], 'representations': {'PC': {'code': 319537020239845393527743193833727946889, 'gens': [1, 2, 6], 'pres': [6, -2, -2, -2, -2, -13, -7, 624, 2473, 31, 3674, 50, 4803, 69, 5764, 22475]}, 'Perm': {'d': 36, 'gens': [11273357700705174238905187294971043164847, 21909911739959219192733026304763595827200, 32545914528070847104031207173448171520000, 43183982883454822624584882612363264000000, 134491780578355200, 559571293]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{91}:Q_{16}', 'transitive_degree': 1456, '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: 119086073
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 23, 'group_order': 1456, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 119086127
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 23, 'group_order': 1456, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 104, 'size': 1}
  • id: 119086138
    {'aut_label': '4A', 'centralizer': '2.c1.a1', 'counter': 3, 'group_counter': 23, 'group_order': 1456, 'label': '4A', 'order': 4, 'powers': [2, 3, 3, 3], 'representative': 52, 'size': 2}
  • id: 119086149
    {'aut_label': '4B', 'centralizer': '52.b1.a1', 'counter': 4, 'group_counter': 23, 'group_order': 1456, 'label': '4B', 'order': 4, 'powers': [2, 4, 4, 4], 'representative': 149, 'size': 52}
  • id: 119086160
    {'aut_label': '4C', 'centralizer': '364.c1.a1', 'counter': 5, 'group_counter': 23, 'group_order': 1456, 'label': '4C', 'order': 4, 'powers': [2, 5, 5, 5], 'representative': 243, 'size': 364}
  • id: 119086171
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 23, 'group_order': 1456, 'label': '7A1', 'order': 7, 'powers': [7, 8, 1, 6], 'representative': 624, 'size': 2}
  • id: 119086182
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 23, 'group_order': 1456, 'label': '7A2', 'order': 7, 'powers': [8, 6, 1, 7], 'representative': 1248, 'size': 2}
  • id: 119086193
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 8, 'group_counter': 23, 'group_order': 1456, 'label': '7A3', 'order': 7, 'powers': [6, 7, 1, 8], 'representative': 416, 'size': 2}
  • id: 119086204
    {'aut_label': '8A1', 'centralizer': '14.c1.a1', 'counter': 9, 'group_counter': 23, 'group_order': 1456, 'label': '8A1', 'order': 8, 'powers': [3, 10, 9, 10], 'representative': 26, 'size': 14}
  • id: 119086074
    {'aut_label': '8A1', 'centralizer': '14.c1.a1', 'counter': 10, 'group_counter': 23, 'group_order': 1456, 'label': '8A3', 'order': 8, 'powers': [3, 9, 10, 9], 'representative': 78, 'size': 14}
  • id: 119086085
    {'aut_label': '13A1', 'centralizer': '2.c1.a1', 'counter': 11, 'group_counter': 23, 'group_order': 1456, 'label': '13A1', 'order': 13, 'powers': [12, 13, 16, 1], 'representative': 16, 'size': 2}
  • id: 119086096
    {'aut_label': '13A1', 'centralizer': '2.c1.a1', 'counter': 12, 'group_counter': 23, 'group_order': 1456, 'label': '13A2', 'order': 13, 'powers': [14, 16, 11, 1], 'representative': 32, 'size': 2}
  • id: 119086107
    {'aut_label': '13A1', 'centralizer': '2.c1.a1', 'counter': 13, 'group_counter': 23, 'group_order': 1456, 'label': '13A3', 'order': 13, 'powers': [16, 14, 15, 1], 'representative': 48, 'size': 2}
  • id: 119086118
    {'aut_label': '13A1', 'centralizer': '2.c1.a1', 'counter': 14, 'group_counter': 23, 'group_order': 1456, 'label': '13A4', 'order': 13, 'powers': [15, 11, 12, 1], 'representative': 64, 'size': 2}
  • id: 119086122
    {'aut_label': '13A1', 'centralizer': '2.c1.a1', 'counter': 15, 'group_counter': 23, 'group_order': 1456, 'label': '13A5', 'order': 13, 'powers': [13, 12, 14, 1], 'representative': 80, 'size': 2}
  • id: 119086123
    {'aut_label': '13A1', 'centralizer': '2.c1.a1', 'counter': 16, 'group_counter': 23, 'group_order': 1456, 'label': '13A6', 'order': 13, 'powers': [11, 15, 13, 1], 'representative': 96, 'size': 2}
  • id: 119086124
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 23, 'group_order': 1456, 'label': '14A1', 'order': 14, 'powers': [6, 18, 2, 17], 'representative': 1144, 'size': 2}
  • id: 119086125
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 23, 'group_order': 1456, 'label': '14A3', 'order': 14, 'powers': [8, 19, 2, 18], 'representative': 312, 'size': 2}
  • id: 119086126
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 23, 'group_order': 1456, 'label': '14A5', 'order': 14, 'powers': [7, 17, 2, 19], 'representative': 936, 'size': 2}
  • id: 119086128
    {'aut_label': '26A1', 'centralizer': '2.c1.a1', 'counter': 20, 'group_counter': 23, 'group_order': 1456, 'label': '26A1', 'order': 26, 'powers': [11, 21, 23, 2], 'representative': 8, 'size': 2}
  • id: 119086129
    {'aut_label': '26A1', 'centralizer': '2.c1.a1', 'counter': 21, 'group_counter': 23, 'group_order': 1456, 'label': '26A3', 'order': 26, 'powers': [13, 24, 22, 2], 'representative': 24, 'size': 2}
  • id: 119086130
    {'aut_label': '26A1', 'centralizer': '2.c1.a1', 'counter': 22, 'group_counter': 23, 'group_order': 1456, 'label': '26A5', 'order': 26, 'powers': [15, 25, 24, 2], 'representative': 40, 'size': 2}
  • id: 119086131
    {'aut_label': '26A1', 'centralizer': '2.c1.a1', 'counter': 23, 'group_counter': 23, 'group_order': 1456, 'label': '26A7', 'order': 26, 'powers': [16, 22, 21, 2], 'representative': 56, 'size': 2}
  • id: 119086132
    {'aut_label': '26A1', 'centralizer': '2.c1.a1', 'counter': 24, 'group_counter': 23, 'group_order': 1456, 'label': '26A9', 'order': 26, 'powers': [14, 20, 25, 2], 'representative': 72, 'size': 2}
  • id: 119086133
    {'aut_label': '26A1', 'centralizer': '2.c1.a1', 'counter': 25, 'group_counter': 23, 'group_order': 1456, 'label': '26A11', 'order': 26, 'powers': [12, 23, 20, 2], 'representative': 88, 'size': 2}
  • id: 119086134
    {'aut_label': '28A1', 'centralizer': '4.a1.a1', 'counter': 26, 'group_counter': 23, 'group_order': 1456, 'label': '28A1', 'order': 28, 'powers': [17, 27, 3, 26], 'representative': 1300, 'size': 4}
  • id: 119086135
    {'aut_label': '28A1', 'centralizer': '4.a1.a1', 'counter': 27, 'group_counter': 23, 'group_order': 1456, 'label': '28A3', 'order': 28, 'powers': [18, 28, 3, 27], 'representative': 988, 'size': 4}
  • id: 119086136
    {'aut_label': '28A1', 'centralizer': '4.a1.a1', 'counter': 28, 'group_counter': 23, 'group_order': 1456, 'label': '28A5', 'order': 28, 'powers': [19, 26, 3, 28], 'representative': 468, 'size': 4}
  • id: 119086137
    {'aut_label': '28B1', 'centralizer': '52.b1.a1', 'counter': 29, 'group_counter': 23, 'group_order': 1456, 'label': '28B1', 'order': 28, 'powers': [17, 31, 4, 30], 'representative': 1293, 'size': 52}
  • id: 119086139
    {'aut_label': '28B1', 'centralizer': '52.b1.a1', 'counter': 30, 'group_counter': 23, 'group_order': 1456, 'label': '28B-1', 'order': 28, 'powers': [17, 32, 4, 29], 'representative': 357, 'size': 52}
  • id: 119086140
    {'aut_label': '28B1', 'centralizer': '52.b1.a1', 'counter': 31, 'group_counter': 23, 'group_order': 1456, 'label': '28B3', 'order': 28, 'powers': [18, 34, 4, 32], 'representative': 981, 'size': 52}
  • id: 119086141
    {'aut_label': '28B1', 'centralizer': '52.b1.a1', 'counter': 32, 'group_counter': 23, 'group_order': 1456, 'label': '28B-3', 'order': 28, 'powers': [18, 33, 4, 31], 'representative': 669, 'size': 52}
  • id: 119086142
    {'aut_label': '28B1', 'centralizer': '52.b1.a1', 'counter': 33, 'group_counter': 23, 'group_order': 1456, 'label': '28B5', 'order': 28, 'powers': [19, 29, 4, 34], 'representative': 461, 'size': 52}
  • id: 119086143
    {'aut_label': '28B1', 'centralizer': '52.b1.a1', 'counter': 34, 'group_counter': 23, 'group_order': 1456, 'label': '28B-5', 'order': 28, 'powers': [19, 30, 4, 33], 'representative': 1189, 'size': 52}
  • id: 119086144
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 35, 'group_counter': 23, 'group_order': 1456, 'label': '52A1', 'order': 52, 'powers': [20, 36, 38, 3], 'representative': 4, 'size': 2}
  • id: 119086145
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 36, 'group_counter': 23, 'group_order': 1456, 'label': '52A3', 'order': 52, 'powers': [21, 39, 44, 3], 'representative': 12, 'size': 2}
  • id: 119086146
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 37, 'group_counter': 23, 'group_order': 1456, 'label': '52A5', 'order': 52, 'powers': [22, 41, 42, 3], 'representative': 20, 'size': 2}
  • id: 119086147
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 38, 'group_counter': 23, 'group_order': 1456, 'label': '52A7', 'order': 52, 'powers': [23, 44, 36, 3], 'representative': 28, 'size': 2}
  • id: 119086148
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 39, 'group_counter': 23, 'group_order': 1456, 'label': '52A9', 'order': 52, 'powers': [24, 46, 40, 3], 'representative': 36, 'size': 2}
  • id: 119086150
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 40, 'group_counter': 23, 'group_order': 1456, 'label': '52A11', 'order': 52, 'powers': [25, 43, 46, 3], 'representative': 44, 'size': 2}
  • id: 119086151
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 41, 'group_counter': 23, 'group_order': 1456, 'label': '52A15', 'order': 52, 'powers': [25, 38, 35, 3], 'representative': 60, 'size': 2}
  • id: 119086152
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 42, 'group_counter': 23, 'group_order': 1456, 'label': '52A17', 'order': 52, 'powers': [24, 35, 41, 3], 'representative': 68, 'size': 2}
  • id: 119086153
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 43, 'group_counter': 23, 'group_order': 1456, 'label': '52A19', 'order': 52, 'powers': [23, 37, 45, 3], 'representative': 76, 'size': 2}
  • id: 119086154
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 44, 'group_counter': 23, 'group_order': 1456, 'label': '52A21', 'order': 52, 'powers': [22, 40, 39, 3], 'representative': 84, 'size': 2}
  • id: 119086155
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 45, 'group_counter': 23, 'group_order': 1456, 'label': '52A23', 'order': 52, 'powers': [21, 42, 37, 3], 'representative': 92, 'size': 2}
  • id: 119086156
    {'aut_label': '52A1', 'centralizer': '2.c1.a1', 'counter': 46, 'group_counter': 23, 'group_order': 1456, 'label': '52A25', 'order': 52, 'powers': [20, 45, 43, 3], 'representative': 100, 'size': 2}
  • id: 119086157
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 47, 'group_counter': 23, 'group_order': 1456, 'label': '91A1', 'order': 91, 'powers': [48, 49, 16, 6], 'representative': 848, 'size': 4}
  • id: 119086158
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 48, 'group_counter': 23, 'group_order': 1456, 'label': '91A2', 'order': 91, 'powers': [50, 52, 11, 7], 'representative': 240, 'size': 4}
  • id: 119086159
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 49, 'group_counter': 23, 'group_order': 1456, 'label': '91A3', 'order': 91, 'powers': [52, 54, 15, 8], 'representative': 1088, 'size': 4}
  • id: 119086161
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 50, 'group_counter': 23, 'group_order': 1456, 'label': '91A4', 'order': 91, 'powers': [53, 56, 12, 8], 'representative': 480, 'size': 4}
  • id: 119086162
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 51, 'group_counter': 23, 'group_order': 1456, 'label': '91A5', 'order': 91, 'powers': [49, 57, 14, 7], 'representative': 1328, 'size': 4}
  • id: 119086163
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 52, 'group_counter': 23, 'group_order': 1456, 'label': '91A6', 'order': 91, 'powers': [56, 59, 13, 6], 'representative': 720, 'size': 4}
  • id: 119086164
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 53, 'group_counter': 23, 'group_order': 1456, 'label': '91A8', 'order': 91, 'powers': [58, 55, 14, 6], 'representative': 960, 'size': 4}
  • id: 119086165
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 54, 'group_counter': 23, 'group_order': 1456, 'label': '91A9', 'order': 91, 'powers': [59, 47, 12, 7], 'representative': 352, 'size': 4}
  • id: 119086166
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 55, 'group_counter': 23, 'group_order': 1456, 'label': '91A11', 'order': 91, 'powers': [61, 60, 11, 8], 'representative': 592, 'size': 4}
  • id: 119086167
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 56, 'group_counter': 23, 'group_order': 1456, 'label': '91A12', 'order': 91, 'powers': [55, 63, 16, 7], 'representative': 1440, 'size': 4}
  • id: 119086168
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 57, 'group_counter': 23, 'group_order': 1456, 'label': '91A15', 'order': 91, 'powers': [54, 64, 11, 6], 'representative': 864, 'size': 4}
  • id: 119086169
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 58, 'group_counter': 23, 'group_order': 1456, 'label': '91A16', 'order': 91, 'powers': [64, 61, 15, 7], 'representative': 256, 'size': 4}
  • id: 119086170
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 59, 'group_counter': 23, 'group_order': 1456, 'label': '91A18', 'order': 91, 'powers': [63, 48, 14, 8], 'representative': 496, 'size': 4}
  • id: 119086172
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 60, 'group_counter': 23, 'group_order': 1456, 'label': '91A19', 'order': 91, 'powers': [62, 53, 13, 7], 'representative': 1344, 'size': 4}
  • id: 119086173
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 61, 'group_counter': 23, 'group_order': 1456, 'label': '91A22', 'order': 91, 'powers': [51, 62, 12, 6], 'representative': 976, 'size': 4}
  • id: 119086174
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 62, 'group_counter': 23, 'group_order': 1456, 'label': '91A25', 'order': 91, 'powers': [57, 58, 16, 8], 'representative': 608, 'size': 4}
  • id: 119086175
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 63, 'group_counter': 23, 'group_order': 1456, 'label': '91A29', 'order': 91, 'powers': [60, 50, 15, 6], 'representative': 880, 'size': 4}
  • id: 119086176
    {'aut_label': '91A1', 'centralizer': '4.a1.a1', 'counter': 64, 'group_counter': 23, 'group_order': 1456, 'label': '91A32', 'order': 91, 'powers': [47, 51, 13, 8], 'representative': 512, 'size': 4}
  • id: 119086177
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 65, 'group_counter': 23, 'group_order': 1456, 'label': '104A1', 'order': 104, 'powers': [35, 66, 68, 9], 'representative': 2, 'size': 14}
  • id: 119086178
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 66, 'group_counter': 23, 'group_order': 1456, 'label': '104A3', 'order': 104, 'powers': [36, 69, 74, 10], 'representative': 6, 'size': 14}
  • id: 119086179
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 67, 'group_counter': 23, 'group_order': 1456, 'label': '104A5', 'order': 104, 'powers': [37, 71, 81, 10], 'representative': 10, 'size': 14}
  • id: 119086180
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 68, 'group_counter': 23, 'group_order': 1456, 'label': '104A7', 'order': 104, 'powers': [38, 74, 87, 9], 'representative': 194, 'size': 14}
  • id: 119086181
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 69, 'group_counter': 23, 'group_order': 1456, 'label': '104A9', 'order': 104, 'powers': [39, 77, 83, 9], 'representative': 18, 'size': 14}
  • id: 119086183
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 70, 'group_counter': 23, 'group_order': 1456, 'label': '104A11', 'order': 104, 'powers': [40, 80, 77, 10], 'representative': 22, 'size': 14}
  • id: 119086184
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 71, 'group_counter': 23, 'group_order': 1456, 'label': '104A15', 'order': 104, 'powers': [41, 85, 65, 9], 'representative': 178, 'size': 14}
  • id: 119086185
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 72, 'group_counter': 23, 'group_order': 1456, 'label': '104A17', 'order': 104, 'powers': [42, 88, 71, 9], 'representative': 34, 'size': 14}
  • id: 119086186
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 73, 'group_counter': 23, 'group_order': 1456, 'label': '104A19', 'order': 104, 'powers': [43, 86, 78, 10], 'representative': 38, 'size': 14}
  • id: 119086187
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 74, 'group_counter': 23, 'group_order': 1456, 'label': '104A21', 'order': 104, 'powers': [44, 83, 84, 10], 'representative': 42, 'size': 14}
  • id: 119086188
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 75, 'group_counter': 23, 'group_order': 1456, 'label': '104A23', 'order': 104, 'powers': [45, 81, 86, 9], 'representative': 162, 'size': 14}
  • id: 119086189
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 76, 'group_counter': 23, 'group_order': 1456, 'label': '104A25', 'order': 104, 'powers': [46, 78, 80, 9], 'representative': 50, 'size': 14}
  • id: 119086190
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 77, 'group_counter': 23, 'group_order': 1456, 'label': '104A27', 'order': 104, 'powers': [46, 75, 73, 10], 'representative': 54, 'size': 14}
  • id: 119086191
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 78, 'group_counter': 23, 'group_order': 1456, 'label': '104A29', 'order': 104, 'powers': [45, 72, 67, 10], 'representative': 58, 'size': 14}
  • id: 119086192
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 79, 'group_counter': 23, 'group_order': 1456, 'label': '104A31', 'order': 104, 'powers': [44, 70, 69, 9], 'representative': 146, 'size': 14}
  • id: 119086194
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 80, 'group_counter': 23, 'group_order': 1456, 'label': '104A33', 'order': 104, 'powers': [43, 67, 75, 9], 'representative': 66, 'size': 14}
  • id: 119086195
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 81, 'group_counter': 23, 'group_order': 1456, 'label': '104A35', 'order': 104, 'powers': [42, 65, 82, 10], 'representative': 70, 'size': 14}
  • id: 119086196
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 82, 'group_counter': 23, 'group_order': 1456, 'label': '104A37', 'order': 104, 'powers': [41, 68, 88, 10], 'representative': 74, 'size': 14}
  • id: 119086197
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 83, 'group_counter': 23, 'group_order': 1456, 'label': '104A41', 'order': 104, 'powers': [40, 73, 76, 9], 'representative': 82, 'size': 14}
  • id: 119086198
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 84, 'group_counter': 23, 'group_order': 1456, 'label': '104A43', 'order': 104, 'powers': [39, 76, 70, 10], 'representative': 86, 'size': 14}
  • id: 119086199
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 85, 'group_counter': 23, 'group_order': 1456, 'label': '104A45', 'order': 104, 'powers': [38, 79, 66, 10], 'representative': 90, 'size': 14}
  • id: 119086200
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 86, 'group_counter': 23, 'group_order': 1456, 'label': '104A47', 'order': 104, 'powers': [37, 82, 72, 9], 'representative': 114, 'size': 14}
  • id: 119086201
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 87, 'group_counter': 23, 'group_order': 1456, 'label': '104A49', 'order': 104, 'powers': [36, 84, 79, 9], 'representative': 98, 'size': 14}
  • id: 119086202
    {'aut_label': '104A1', 'centralizer': '14.c1.a1', 'counter': 88, 'group_counter': 23, 'group_order': 1456, 'label': '104A51', 'order': 104, 'powers': [35, 87, 85, 10], 'representative': 106, 'size': 14}
  • id: 119086203
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 89, 'group_counter': 23, 'group_order': 1456, 'label': '182A1', 'order': 182, 'powers': [47, 90, 23, 17], 'representative': 424, 'size': 4}
  • id: 119086205
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 90, 'group_counter': 23, 'group_order': 1456, 'label': '182A3', 'order': 182, 'powers': [49, 92, 22, 18], 'representative': 1272, 'size': 4}
  • id: 119086206
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 91, 'group_counter': 23, 'group_order': 1456, 'label': '182A5', 'order': 182, 'powers': [51, 94, 24, 19], 'representative': 664, 'size': 4}
  • id: 119086207
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 92, 'group_counter': 23, 'group_order': 1456, 'label': '182A9', 'order': 182, 'powers': [54, 89, 25, 19], 'representative': 904, 'size': 4}
  • id: 119086208
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 93, 'group_counter': 23, 'group_order': 1456, 'label': '182A11', 'order': 182, 'powers': [55, 96, 20, 18], 'representative': 296, 'size': 4}
  • id: 119086209
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 94, 'group_counter': 23, 'group_order': 1456, 'label': '182A15', 'order': 182, 'powers': [57, 103, 20, 17], 'representative': 536, 'size': 4}
  • id: 119086210
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 95, 'group_counter': 23, 'group_order': 1456, 'label': '182A17', 'order': 182, 'powers': [50, 104, 25, 18], 'representative': 1384, 'size': 4}
  • id: 119086211
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 96, 'group_counter': 23, 'group_order': 1456, 'label': '182A19', 'order': 182, 'powers': [60, 105, 21, 19], 'representative': 776, 'size': 4}
  • id: 119086212
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 97, 'group_counter': 23, 'group_order': 1456, 'label': '182A23', 'order': 182, 'powers': [58, 102, 22, 19], 'representative': 1016, 'size': 4}
  • id: 119086213
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 98, 'group_counter': 23, 'group_order': 1456, 'label': '182A25', 'order': 182, 'powers': [62, 97, 23, 18], 'representative': 408, 'size': 4}
  • id: 119086214
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 99, 'group_counter': 23, 'group_order': 1456, 'label': '182A29', 'order': 182, 'powers': [63, 95, 22, 17], 'representative': 440, 'size': 4}
  • id: 119086075
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 100, 'group_counter': 23, 'group_order': 1456, 'label': '182A31', 'order': 182, 'powers': [59, 101, 24, 18], 'representative': 1288, 'size': 4}
  • id: 119086076
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 101, 'group_counter': 23, 'group_order': 1456, 'label': '182A37', 'order': 182, 'powers': [48, 106, 20, 19], 'representative': 920, 'size': 4}
  • id: 119086077
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 102, 'group_counter': 23, 'group_order': 1456, 'label': '182A43', 'order': 182, 'powers': [61, 98, 25, 17], 'representative': 552, 'size': 4}
  • id: 119086078
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 103, 'group_counter': 23, 'group_order': 1456, 'label': '182A45', 'order': 182, 'powers': [64, 91, 21, 18], 'representative': 1400, 'size': 4}
  • id: 119086079
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 104, 'group_counter': 23, 'group_order': 1456, 'label': '182A51', 'order': 182, 'powers': [56, 99, 23, 19], 'representative': 1032, 'size': 4}
  • id: 119086080
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 105, 'group_counter': 23, 'group_order': 1456, 'label': '182A57', 'order': 182, 'powers': [53, 93, 24, 17], 'representative': 456, 'size': 4}
  • id: 119086081
    {'aut_label': '182A1', 'centralizer': '4.a1.a1', 'counter': 106, 'group_counter': 23, 'group_order': 1456, 'label': '182A71', 'order': 182, 'powers': [52, 100, 21, 17], 'representative': 568, 'size': 4}
  • id: 119086082
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 107, 'group_counter': 23, 'group_order': 1456, 'label': '364A1', 'order': 364, 'powers': [89, 108, 38, 26], 'representative': 212, 'size': 4}
  • id: 119086083
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 108, 'group_counter': 23, 'group_order': 1456, 'label': '364A3', 'order': 364, 'powers': [90, 110, 44, 27], 'representative': 636, 'size': 4}
  • id: 119086084
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 109, 'group_counter': 23, 'group_order': 1456, 'label': '364A5', 'order': 364, 'powers': [91, 112, 42, 28], 'representative': 436, 'size': 4}
  • id: 119086086
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 110, 'group_counter': 23, 'group_order': 1456, 'label': '364A9', 'order': 364, 'powers': [92, 117, 40, 28], 'representative': 452, 'size': 4}
  • id: 119086087
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 111, 'group_counter': 23, 'group_order': 1456, 'label': '364A11', 'order': 364, 'powers': [93, 114, 46, 27], 'representative': 788, 'size': 4}
  • id: 119086088
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 112, 'group_counter': 23, 'group_order': 1456, 'label': '364A15', 'order': 364, 'powers': [94, 123, 35, 26], 'representative': 356, 'size': 4}
  • id: 119086089
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 113, 'group_counter': 23, 'group_order': 1456, 'label': '364A17', 'order': 364, 'powers': [95, 124, 41, 27], 'representative': 692, 'size': 4}
  • id: 119086090
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 114, 'group_counter': 23, 'group_order': 1456, 'label': '364A19', 'order': 364, 'powers': [96, 127, 45, 28], 'representative': 548, 'size': 4}
  • id: 119086091
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 115, 'group_counter': 23, 'group_order': 1456, 'label': '364A23', 'order': 364, 'powers': [97, 129, 37, 28], 'representative': 532, 'size': 4}
  • id: 119086092
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 116, 'group_counter': 23, 'group_order': 1456, 'label': '364A25', 'order': 364, 'powers': [98, 115, 43, 27], 'representative': 724, 'size': 4}
  • id: 119086093
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 117, 'group_counter': 23, 'group_order': 1456, 'label': '364A27', 'order': 364, 'powers': [89, 132, 43, 26], 'representative': 308, 'size': 4}
  • id: 119086094
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 118, 'group_counter': 23, 'group_order': 1456, 'label': '364A29', 'order': 364, 'powers': [99, 113, 37, 26], 'representative': 324, 'size': 4}
  • id: 119086095
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 119, 'group_counter': 23, 'group_order': 1456, 'label': '364A31', 'order': 364, 'powers': [100, 134, 39, 27], 'representative': 708, 'size': 4}
  • id: 119086097
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 120, 'group_counter': 23, 'group_order': 1456, 'label': '364A37', 'order': 364, 'powers': [101, 136, 35, 28], 'representative': 564, 'size': 4}
  • id: 119086098
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 121, 'group_counter': 23, 'group_order': 1456, 'label': '364A41', 'order': 364, 'powers': [94, 140, 46, 26], 'representative': 372, 'size': 4}
  • id: 119086099
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 122, 'group_counter': 23, 'group_order': 1456, 'label': '364A43', 'order': 364, 'powers': [102, 116, 40, 26], 'representative': 244, 'size': 4}
  • id: 119086100
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 123, 'group_counter': 23, 'group_order': 1456, 'label': '364A45', 'order': 364, 'powers': [103, 141, 36, 27], 'representative': 804, 'size': 4}
  • id: 119086101
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 124, 'group_counter': 23, 'group_order': 1456, 'label': '364A51', 'order': 364, 'powers': [104, 126, 38, 28], 'representative': 420, 'size': 4}
  • id: 119086102
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 125, 'group_counter': 23, 'group_order': 1456, 'label': '364A53', 'order': 364, 'powers': [98, 137, 38, 27], 'representative': 628, 'size': 4}
  • id: 119086103
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 126, 'group_counter': 23, 'group_order': 1456, 'label': '364A55', 'order': 364, 'powers': [99, 135, 44, 26], 'representative': 220, 'size': 4}
  • id: 119086104
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 127, 'group_counter': 23, 'group_order': 1456, 'label': '364A57', 'order': 364, 'powers': [105, 128, 42, 26], 'representative': 228, 'size': 4}
  • id: 119086105
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 128, 'group_counter': 23, 'group_order': 1456, 'label': '364A67', 'order': 364, 'powers': [93, 142, 35, 27], 'representative': 772, 'size': 4}
  • id: 119086106
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 129, 'group_counter': 23, 'group_order': 1456, 'label': '364A69', 'order': 364, 'powers': [102, 125, 41, 26], 'representative': 276, 'size': 4}
  • id: 119086108
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 130, 'group_counter': 23, 'group_order': 1456, 'label': '364A71', 'order': 364, 'powers': [106, 138, 45, 26], 'representative': 340, 'size': 4}
  • id: 119086109
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 131, 'group_counter': 23, 'group_order': 1456, 'label': '364A79', 'order': 364, 'powers': [104, 118, 43, 28], 'representative': 516, 'size': 4}
  • id: 119086110
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 132, 'group_counter': 23, 'group_order': 1456, 'label': '364A81', 'order': 364, 'powers': [90, 139, 37, 27], 'representative': 740, 'size': 4}
  • id: 119086111
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 133, 'group_counter': 23, 'group_order': 1456, 'label': '364A83', 'order': 364, 'powers': [105, 111, 39, 26], 'representative': 292, 'size': 4}
  • id: 119086112
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 134, 'group_counter': 23, 'group_order': 1456, 'label': '364A93', 'order': 364, 'powers': [101, 130, 46, 28], 'representative': 580, 'size': 4}
  • id: 119086113
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 135, 'group_counter': 23, 'group_order': 1456, 'label': '364A95', 'order': 364, 'powers': [95, 131, 40, 27], 'representative': 660, 'size': 4}
  • id: 119086114
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 136, 'group_counter': 23, 'group_order': 1456, 'label': '364A97', 'order': 364, 'powers': [106, 119, 36, 26], 'representative': 388, 'size': 4}
  • id: 119086115
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 137, 'group_counter': 23, 'group_order': 1456, 'label': '364A107', 'order': 364, 'powers': [97, 122, 44, 28], 'representative': 428, 'size': 4}
  • id: 119086116
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 138, 'group_counter': 23, 'group_order': 1456, 'label': '364A109', 'order': 364, 'powers': [100, 120, 42, 27], 'representative': 644, 'size': 4}
  • id: 119086117
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 139, 'group_counter': 23, 'group_order': 1456, 'label': '364A121', 'order': 364, 'powers': [92, 107, 41, 28], 'representative': 484, 'size': 4}
  • id: 119086119
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 140, 'group_counter': 23, 'group_order': 1456, 'label': '364A123', 'order': 364, 'powers': [103, 109, 45, 27], 'representative': 756, 'size': 4}
  • id: 119086120
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 141, 'group_counter': 23, 'group_order': 1456, 'label': '364A135', 'order': 364, 'powers': [91, 121, 39, 28], 'representative': 500, 'size': 4}
  • id: 119086121
    {'aut_label': '364A1', 'centralizer': '4.a1.a1', 'counter': 142, 'group_counter': 23, 'group_order': 1456, 'label': '364A149', 'order': 364, 'powers': [96, 133, 36, 28], 'representative': 596, 'size': 4}
• gps_qchar •

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

  
  
  • id: 6544768
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.1a', '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], 'schur_index': 1}
  • id: 6544777
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.1b', '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], 'schur_index': 1}
  • id: 6544778
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.1c', '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], 'schur_index': 1}
  • id: 6544779
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.1d', '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], 'schur_index': 1}
  • id: 6544780
    {'cdim': 2, 'counter': 5, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 6544781
    {'cdim': 2, 'counter': 6, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.2b', 'multiplicity': 2, 'nt': [16, 14], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 6544782
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.2c', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 0, -1, -1, -1, 0, 0, 6, 6, 6, 6, 6, 6, -1, -1, -1, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6544783
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.2d', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, -6, 0, -1, -1, -1, 0, 0, 6, 6, 6, 6, 6, 6, -1, -1, -1, 6, 6, 6, 6, 6, 6, -1, -1, -1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6544784
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.2e', 'multiplicity': 6, 'nt': [13, 2], 'qdim': 12, 'qvalues': [12, 12, 12, 0, 0, 12, 12, 12, 12, 12, -1, -1, -1, -1, -1, -1, 12, 12, 12, -1, -1, -1, -1, -1, -1, 12, 12, 12, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6544769
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.2f', 'multiplicity': 6, 'nt': [26, 3], 'qdim': 12, 'qvalues': [12, 12, 12, 0, 0, 12, 12, 12, -12, -12, -1, -1, -1, -1, -1, -1, 12, 12, 12, -1, -1, -1, -1, -1, -1, 12, 12, 12, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6544770
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.2g', 'multiplicity': 6, 'nt': [28, 6], 'qdim': 12, 'qvalues': [12, 12, -12, 0, 0, -2, -2, -2, 0, 0, 12, 12, 12, 12, 12, 12, -2, -2, -2, 12, 12, 12, 12, 12, 12, 2, 2, 2, 0, 0, 0, 0, 0, 0, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 6544773
    {'cdim': 4, 'counter': 14, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.4a', 'multiplicity': 3, 'nt': [112, 0], 'qdim': 12, 'qvalues': [12, -12, 0, 0, 0, -2, -2, -2, 0, 0, 12, 12, 12, 12, 12, 12, 2, 2, 2, -12, -12, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 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], 'schur_index': 2}
  • id: 6544771
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.2h', 'multiplicity': 12, 'nt': [52, 0], 'qdim': 24, 'qvalues': [24, 24, -24, 0, 0, 24, 24, 24, 0, 0, -2, -2, -2, -2, -2, -2, 24, 24, 24, -2, -2, -2, -2, -2, -2, -24, -24, -24, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 6544772
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.2i', 'multiplicity': 24, 'nt': [208, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 0, 0, 48, 48, 48, 0, 0, -4, -4, -4, -4, -4, -4, -48, -48, -48, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 6544774
    {'cdim': 4, 'counter': 15, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.4b', 'multiplicity': 18, 'nt': [91, 0], 'qdim': 72, 'qvalues': [72, 72, 72, 0, 0, -12, -12, -12, 0, 0, -6, -6, -6, -6, -6, -6, -12, -12, -12, -6, -6, -6, -6, -6, -6, -12, -12, -12, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 6544775
    {'cdim': 4, 'counter': 16, 'faithful': False, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.4c', 'multiplicity': 18, 'nt': [364, 0], 'qdim': 72, 'qvalues': [72, 72, -72, 0, 0, -12, -12, -12, 0, 0, -6, -6, -6, -6, -6, -6, -12, -12, -12, -6, -6, -6, -6, -6, -6, 12, 12, 12, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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': 2}
  • id: 6544776
    {'cdim': 4, 'counter': 17, 'faithful': True, 'group': '1456.23', 'group_order': 1456, 'image': None, 'label': '1456.23.4d', 'multiplicity': 36, 'nt': [1456, 0], 'qdim': 144, 'qvalues': [144, -144, 0, 0, 0, -24, -24, -24, 0, 0, -12, -12, -12, -12, -12, -12, 24, 24, 24, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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], 'schur_index': 2}
• 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: 14157209
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1456, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1456, 'label': '1456.23.1a', '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]]]}
  • id: 14157263
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1456, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 728, 'label': '1456.23.1b', '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]]]}
  • id: 14157274
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1456, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 728, 'label': '1456.23.1c', '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]]]}
  • id: 14157285
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1456, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 728, 'label': '1456.23.1d', '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]]]}
  • id: 14157296
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 364, 'counter': 5, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 182, 'label': '1456.23.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]]]}
  • id: 14157307
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 182, 'counter': 6, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '16.9', 'image_order': 16, 'indicator': -1, 'kernel': '16.a1.a1', 'kernel_order': 91, 'label': '1456.23.2b1', 'nt': [16, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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]]]}
  • id: 14157318
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 182, 'counter': 7, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '16.9', 'image_order': 16, 'indicator': -1, 'kernel': '16.a1.a1', 'kernel_order': 91, 'label': '1456.23.2b2', 'nt': [16, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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]]]}
  • id: 14157329
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 104, 'counter': 8, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 104, 'label': '1456.23.2c1', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 14157340
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 104, 'counter': 9, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 104, 'label': '1456.23.2c2', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 14157210
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 104, 'counter': 10, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 104, 'label': '1456.23.2c3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 14157221
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 104, 'counter': 11, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 52, 'label': '1456.23.2d1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 14157232
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 104, 'counter': 12, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 52, 'label': '1456.23.2d2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 14157243
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 104, 'counter': 13, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 52, 'label': '1456.23.2d3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 14157254
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 14, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 56, 'label': '1456.23.2e1', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]]]}
  • id: 14157258
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 15, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 56, 'label': '1456.23.2e2', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]]]}
  • id: 14157259
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 16, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 56, 'label': '1456.23.2e3', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]]]}
  • id: 14157260
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 17, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 56, 'label': '1456.23.2e4', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[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, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]]]}
  • id: 14157261
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 18, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 56, 'label': '1456.23.2e5', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[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, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]]]}
  • id: 14157262
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 19, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 56, 'label': '1456.23.2e6', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 14157264
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 20, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 28, 'label': '1456.23.2f1', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]]]}
  • id: 14157265
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 21, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 28, 'label': '1456.23.2f2', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]]]}
  • id: 14157266
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 22, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 28, 'label': '1456.23.2f3', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]]]}
  • id: 14157267
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 23, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 28, 'label': '1456.23.2f4', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-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, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]]]}
  • id: 14157268
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 24, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 28, 'label': '1456.23.2f5', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[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, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]]]}
  • id: 14157269
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 56, 'counter': 25, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 28, 'label': '1456.23.2f6', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 14157270
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 52, 'counter': 26, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 26, 'label': '1456.23.2g1', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 14157271
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 52, 'counter': 27, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 26, 'label': '1456.23.2g2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 14157272
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 52, 'counter': 28, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 26, 'label': '1456.23.2g3', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 14157273
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 52, 'counter': 29, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 26, 'label': '1456.23.2g4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 14157275
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 52, 'counter': 30, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 26, 'label': '1456.23.2g5', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 14157276
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 52, 'counter': 31, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 26, 'label': '1456.23.2g6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 14157277
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 28, 'counter': 32, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '104.6', 'image_order': 104, 'indicator': 1, 'kernel': '104.a1.a1', 'kernel_order': 14, 'label': '1456.23.2h1', 'nt': [52, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 14157287
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 28, 'counter': 41, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '104.6', 'image_order': 104, 'indicator': 1, 'kernel': '104.a1.a1', 'kernel_order': 14, 'label': '1456.23.2h10', 'nt': [52, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 10], [1, -10]]]}
  • id: 14157288
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  • id: 14157289
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 28, 'counter': 43, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '104.6', 'image_order': 104, 'indicator': 1, 'kernel': '104.a1.a1', 'kernel_order': 14, 'label': '1456.23.2h12', 'nt': [52, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[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, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]]]}
  • id: 14157278
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 28, 'counter': 33, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '104.6', 'image_order': 104, 'indicator': 1, 'kernel': '104.a1.a1', 'kernel_order': 14, 'label': '1456.23.2h2', 'nt': [52, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 14157279
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  • id: 14157280
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  • id: 14157281
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  • id: 14157282
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  • id: 14157283
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  • id: 14157284
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  • id: 14157286
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  • id: 14157290
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 44, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i1', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 9], [-1, -9]], [[1, 25], [1, -25]], [[-1, 17], [-1, -17]], [[-1, 25], [-1, -25]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 23], [-1, -23]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 23], [1, -23]], [[-1, 21], [-1, -21]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]]]}
  • id: 14157300
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 53, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i10', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 23], [-1, -23]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 17], [1, -17]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 23], [1, -23]], [[-1, 11], [-1, -11]], [[-1, 17], [-1, -17]], [[1, 19], [1, -19]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, -25]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[-1, 21], [-1, -21]], [[1, 1], [1, -1]], [[-1, 19], [-1, -19]], [[1, 25], [1, -25]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 15], [-1, -15]], [[1, 5], [1, -5]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 6], [1, -6]]]}
  • id: 14157301
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 54, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i11', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[-1, 15], [-1, -15]], [[-1, 23], [-1, -23]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 21], [-1, -21]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 25], [1, -25]], [[1, 17], [1, -17]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 23], [1, -23]], [[-1, 17], [-1, -17]], [[-1, 25], [-1, -25]], [[-1, 9], [-1, -9]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]]]}
  • id: 14157302
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 55, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i12', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 21], [1, -21]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 21], [-1, -21]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[1, 25], [1, -25]], [[-1, 15], [-1, -15]], [[-1, 23], [-1, -23]], [[-1, 7], [-1, -7]], [[1, 19], [1, -19]], [[-1, 25], [-1, -25]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 23], [1, -23]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]]]}
  • id: 14157303
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 56, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i13', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 9], [1, -9]], [[-1, 25], [-1, -25]], [[1, 17], [1, -17]], [[1, 25], [1, -25]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 23], [1, -23]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 23], [-1, -23]], [[1, 21], [1, -21]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]]]}
  • id: 14157304
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 57, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i14', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 17], [1, -17]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 25], [-1, -25]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 25], [1, -25]], [[-1, 21], [-1, -21]], [[1, 23], [1, -23]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[-1, 15], [-1, -15]], [[-1, 23], [-1, -23]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[-1, 19], [-1, -19]], [[-1, 11], [-1, -11]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]]]}
  • id: 14157305
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 58, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i15', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 25], [1, -25]], [[-1, 23], [-1, -23]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[-1, 25], [-1, -25]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[1, 7], [1, -7]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 22], [1, -22]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]]]}
  • id: 14157306
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 59, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i16', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 25], [1, -25]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[-1, 23], [-1, -23]], [[-1, 1], [-1, -1]], [[1, 19], [1, -19]], [[-1, 25], [-1, -25]], [[1, 21], [1, -21]], [[1, 23], [1, -23]], [[-1, 11], [-1, -11]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[-1, 21], [-1, -21]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 22], [-1, -22]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]]]}
  • id: 14157308
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 60, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i17', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 23], [-1, -23]], [[1, 19], [1, -19]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 25], [1, -25]], [[1, 15], [1, -15]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[-1, 17], [-1, -17]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 25], [-1, -25]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 17], [1, -17]], [[1, 23], [1, -23]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[1, 14], [1, -14]]]}
  • id: 14157309
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 61, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i18', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 19], [-1, -19]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 25], [1, -25]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[-1, 21], [-1, -21]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 25], [-1, -25]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]]]}
  • id: 14157310
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 62, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i19', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 11], [-1, -11]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[-1, 19], [-1, -19]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 23], [-1, -23]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, -5]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[-1, 25], [-1, -25]], [[1, 21], [1, -21]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 25], [1, -25]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]]]}
  • id: 14157291
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 45, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i2', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 17], [-1, -17]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 25], [1, -25]], [[1, 17], [1, -17]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 25], [-1, -25]], [[1, 21], [1, -21]], [[-1, 23], [-1, -23]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 19], [-1, -19]], [[1, 15], [1, -15]], [[1, 23], [1, -23]], [[-1, 21], [-1, -21]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[1, 19], [1, -19]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]]]}
  • id: 14157311
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 63, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i20', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[-1, 15], [-1, -15]], [[-1, 25], [-1, -25]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 19], [-1, -19]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 21], [-1, -21]], [[-1, 3], [-1, -3]], [[-1, 23], [-1, -23]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 21], [1, -21]], [[-1, 17], [-1, -17]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[1, 25], [1, -25]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]]]}
  • id: 14157312
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 64, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i21', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 23], [1, -23]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, -3]], [[1, 17], [1, -17]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 25], [1, -25]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 25], [-1, -25]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 19], [1, -19]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 21], [-1, -21]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]]]}
  • id: 14157313
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 65, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i22', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 17], [-1, -17]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 23], [-1, -23]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[-1, 19], [-1, -19]], [[1, 1], [1, -1]], [[1, 25], [1, -25]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[1, 21], [1, -21]], [[-1, 1], [-1, -1]], [[1, 19], [1, -19]], [[-1, 25], [-1, -25]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[1, 15], [1, -15]], [[-1, 5], [-1, -5]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 6], [1, -6]]]}
  • id: 14157314
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 66, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i23', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, -21]], [[1, 15], [1, -15]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 21], [1, -21]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 25], [-1, -25]], [[-1, 17], [-1, -17]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 23], [-1, -23]], [[1, 17], [1, -17]], [[1, 25], [1, -25]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]]]}
  • id: 14157315
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 67, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i24', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 21], [-1, -21]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 21], [1, -21]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[-1, 25], [-1, -25]], [[1, 15], [1, -15]], [[1, 23], [1, -23]], [[1, 7], [1, -7]], [[-1, 19], [-1, -19]], [[1, 25], [1, -25]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 23], [-1, -23]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]]]}
  • id: 14157292
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  • id: 14157293
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  • id: 14157294
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  • id: 14157295
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  • id: 14157297
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 50, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i7', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, -15]], [[1, 19], [1, -19]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 23], [1, -23]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[1, 25], [1, -25]], [[-1, 21], [-1, -21]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 25], [-1, -25]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]]]}
  • id: 14157298
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 51, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i8', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[1, 15], [1, -15]], [[1, 25], [1, -25]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 19], [1, -19]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 21], [-1, -21]], [[1, 17], [1, -17]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[-1, 25], [-1, -25]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]]]}
  • id: 14157299
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 14, 'counter': 52, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.a1.a1', 'kernel_order': 7, 'label': '1456.23.2i9', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 23], [-1, -23]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[-1, 17], [-1, -17]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[-1, 21], [-1, -21]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 25], [-1, -25]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 25], [1, -25]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 19], [-1, -19]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 21], [1, -21]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]]]}
  • id: 14157316
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  • id: 14157317
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  • id: 14157319
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  • id: 14157320
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  • id: 14157330
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  • id: 14157336
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  • id: 14157337
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  • id: 14157338
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  • id: 14157321
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  • id: 14157322
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  • id: 14157323
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  • id: 14157324
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  • id: 14157326
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  • id: 14157327
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  • id: 14157328
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  • id: 14157339
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  • id: 14157349
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  • id: 14157350
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  • id: 14157211
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  • id: 14157212
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  • id: 14157213
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  • id: 14157214
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  • id: 14157215
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  • id: 14157216
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  • id: 14157217
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  • id: 14157341
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  • id: 14157342
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  • id: 14157343
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  • id: 14157344
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  • id: 14157345
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  • id: 14157346
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  • id: 14157347
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  • id: 14157348
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  • id: 14157218
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  • id: 14157228
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  • id: 14157229
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  • id: 14157230
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  • id: 14157231
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  • id: 14157233
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  • id: 14157234
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  • id: 14157235
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  • id: 14157236
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  • id: 14157237
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  • id: 14157238
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  • id: 14157219
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  • id: 14157239
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  • id: 14157240
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  • id: 14157241
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  • id: 14157242
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  • id: 14157244
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  • id: 14157245
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  • id: 14157246
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  • id: 14157247
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  • id: 14157248
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  • id: 14157249
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  • id: 14157220
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  • id: 14157250
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  • id: 14157251
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  • id: 14157252
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  • id: 14157253
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  • id: 14157255
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  • id: 14157256
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  • id: 14157257
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  • id: 14157222
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  • id: 14157223
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  • id: 14157224
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  • id: 14157225
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  • id: 14157226
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  • id: 14157227
    {'center': '728.a1.a1', 'center_index': 728, 'center_order': 2, 'counter': 115, 'cyclotomic_n': 364, 'dim': 4, 'faithful': True, 'field': [2197, 0, -92274, 0, 1337973, 0, -9967789, 0, 44665010, 0, -130409526, 0, 259562875, 0, -361633805, 0, 358202936, 0, -254526168, 0, 130412230, 0, -48291581, 0, 12905893, 0, -2472002, 0, 334113, 0, -30940, 0, 1859, 0, -65, 0, 1], 'group': '1456.23', 'group_counter': 23, 'group_order': 1456, 'image': None, 'image_isoclass': '1456.23', 'image_order': 1456, 'indicator': -1, 'kernel': '1456.a1.a1', 'kernel_order': 1, 'label': '1456.23.4d9', 'nt': [1456, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 26], [-2, -26]], [[2, 52], [2, -52]], [[-2, 78], [-2, -78]], [[0, 0]], [[0, 0]], [[2, 56], [2, -56]], [[-2, 14], [-2, -14]], [[-2, 70], [-2, -70]], [[-2, 42], [-2, -42]], [[2, 84], [2, -84]], [[2, 28], [2, -28]], [[2, 78], [2, -78]], [[-2, 52], [-2, -52]], [[2, 26], [2, -26]], [[2, 14], [2, -14]], [[-2, 84], 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76], [-1, 84], [1, 88], [-1, 90], [-1, 96], [1, 98], [1, 100], [-1, 102], [1, 110], [-1, 112], [-1, 114], [1, 116], [-1, 124], [1, 126], [1, 128], [1, 138], [-1, 142]], [[1, 8], [1, 18], [-1, 34], [-1, 44], [1, 70], [-1, 96], [1, 122]], [[1, 0], [1, 2], [1, 12], [-1, 16], [-1, 26], [1, 30], [1, 40], [-1, 44], [1, 52], [1, 58], [-1, 72], [-1, 78], [1, 86], [-1, 100], [1, 104], [1, 114], [-1, 128], [-1, 130]], [[1, 10], [1, 16], [-1, 36], [1, 62], [1, 68], [-1, 88], [-1, 140]], [[1, 0], [-1, 2], [-1, 12], [-1, 14], [-1, 24], [1, 28], [1, 38], [-1, 42], [1, 50], [-1, 54], [1, 56], [-1, 64], [-1, 70], [-1, 76], [1, 84], [1, 90], [-1, 98], [1, 102], [1, 112], [-1, 116], [-1, 126], [1, 140], [1, 142]], [[1, 44], [-1, 86], [1, 96], [-1, 138]], [[-1, 0], [1, 4], [1, 14], [-1, 18], [1, 26], [-1, 28], [-1, 30], [1, 32], [1, 36], [-1, 40], [1, 42], [1, 44], [-1, 46], [-1, 52], [1, 54], [-1, 58], [1, 60], [-1, 62], [1, 66], [-1, 68], [1, 72], [-1, 74], [1, 78], [-1, 80], [-1, 86], [1, 88], [-1, 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0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 8], [1, 14], [-1, 22], [1, 26], [-1, 28], [1, 32], [-1, 34], [1, 36], [-1, 40], [1, 42], [-1, 46], [1, 48], [-1, 50], [-1, 52], [1, 54], [-1, 56], [-1, 58], [1, 60], [-1, 62], [1, 64], [1, 66], [-1, 68], [1, 70], [1, 72], [-1, 74], [1, 76], [-1, 80], [1, 82], [-1, 86], [1, 88], [-1, 90], [1, 94], [-1, 96], [1, 100], [-1, 102], [-1, 108], [-1, 114], [1, 116], [1, 122], [1, 128], [-1, 142]], [[-1, 0], [-1, 4], [-1, 10], [1, 14], [-1, 22], [1, 24], [1, 26], [-1, 28], [1, 36], [-1, 38], [-1, 40], [1, 42], [1, 48], [-1, 50], [1, 54], [-1, 56], [-1, 62], [1, 64], [-1, 68], [1, 70], [1, 76], [1, 82], [-1, 84], [1, 88], [-1, 90], [-1, 96], [1, 98], [1, 100], [-1, 102], [-1, 108], [1, 110], [-1, 112], [-1, 114], [1, 116], [-1, 124], [1, 128], [1, 138], [-1, 142]], [[-1, 64], [1, 90], [-1, 92], [1, 118]], [[-1, 0], [1, 4], [1, 10], [1, 14], [1, 16], [-1, 18], [1, 26], [-1, 28], 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76], [-1, 84], [-1, 90], [1, 98], [-1, 102], [-1, 112], [1, 116], [1, 126], [-1, 140], [-1, 142]], [[-1, 44], [1, 86], [-1, 96], [1, 138]], [[1, 0], [1, 2], [-1, 14], [-1, 16], [-1, 26], [1, 30], [1, 38], [1, 40], [-1, 44], [1, 52], [1, 58], [-1, 72], [-1, 78], [1, 86], [1, 92], [-1, 100], [1, 104], [1, 114], [-1, 116], [-1, 118], [-1, 128], [-1, 130], [1, 142]], [[-1, 8], [-1, 18], [1, 34], [1, 44], [-1, 70], [1, 96], [-1, 122]], [[1, 0], [-1, 4], [-1, 14], [1, 18], [-1, 26], [1, 28], [1, 30], [-1, 32], [-1, 36], [1, 40], [-1, 42], [-1, 44], [1, 46], [1, 52], [-1, 54], [1, 58], [-1, 60], [1, 62], [-1, 66], [1, 68], [-1, 72], [1, 74], [-1, 78], [1, 80], [1, 86], [-1, 88], [1, 92], [-1, 94], [-1, 100], [1, 102], [1, 104], [-1, 106], [1, 114], [-1, 116], [-1, 118], [-1, 128], [1, 132], [1, 142]], [[1, 0], [1, 10], [-1, 14], [-1, 24], [-1, 26], [1, 28], [1, 30], [-1, 36], [1, 38], [1, 40], [-1, 42], [1, 50], [-1, 54], [1, 56], [1, 62], [-1, 64], [1, 68], [-1, 70], [-1, 76], [1, 84], [-1, 88], [1, 90], [1, 96], [-1, 98], [-1, 100], [1, 102], [-1, 110], [1, 112], [1, 114], [-1, 116], [1, 124], [-1, 126], [-1, 128], [-1, 138], [1, 142]], [[1, 58], [-1, 72], [1, 110], [-1, 124]], [[-1, 10], [-1, 16], [1, 36], [-1, 62], [-1, 68], [1, 88], [1, 140]], [[-1, 2], [-1, 24], [1, 28], [-1, 54], [1, 102], [-1, 106], [1, 132]], [[1, 8], [1, 18], [-1, 34], [-1, 86], [1, 112], [1, 122], [-1, 138]], [[1, 50], [-1, 76], [1, 106], [-1, 132]], [[1, 4], [1, 22], [-1, 30], [-1, 48], [1, 56], [-1, 82], [1, 108]], [[-1, 1], [1, 5], [1, 9], [1, 15], [1, 21], [-1, 23], [1, 27], [-1, 29], [-1, 35], [1, 37], [-1, 41], [1, 43], [1, 49], [-1, 51], [-1, 53], [1, 55], [-1, 57], [1, 61], [-1, 63], [1, 65], [1, 67], [-1, 69], [1, 71], [1, 73], [-1, 75], [1, 77], [-1, 81], [1, 83], [-1, 85], [-1, 87], [1, 89], [-1, 91], [1, 95], [-1, 97], [1, 101], [-1, 103], [-1, 109], [1, 111], [-1, 115], [1, 117], [1, 123], [1, 129], [-1, 135], [-1, 137], [-1, 143]], [[1, 1], [1, 3], [-1, 15], [-1, 17], [-1, 27], [1, 31], [1, 37], [1, 41], [-1, 45], [1, 53], [1, 59], [-1, 67], [-1, 73], [-1, 79], [1, 87], [1, 89], [-1, 101], [1, 105], [1, 115], [-1, 119], [-1, 129], [-1, 131], [1, 143]], [[-1, 1], [-1, 25], [1, 27], [1, 51], [-1, 77], [1, 103], [-1, 129]], [[-1, 45], [-1, 59], [1, 123], [1, 137]], [[-1, 1], [1, 5], [1, 9], [1, 15], [1, 17], [-1, 19], [1, 27], [-1, 29], [-1, 31], [1, 33], [-1, 41], [1, 45], [-1, 47], [-1, 53], [1, 55], [-1, 59], [2, 61], [1, 67], [1, 73], [-1, 75], [1, 79], [-1, 81], [-1, 87], [1, 89], [-1, 93], [1, 101], [-1, 103], [-1, 105], [1, 107], [-1, 115], [1, 117], [1, 119], [-1, 121], [1, 129], [-1, 133], [-1, 143]], [[-1, 11], [-1, 15], [1, 37], [1, 41], [-1, 63], [1, 89], [-1, 115]], [[-1, 1], [-2, 7], [1, 15], [-1, 19], [1, 21], [1, 27], [-1, 29], [1, 33], [-1, 35], [-1, 41], [1, 43], [-1, 47], [1, 49], [-1, 53], [1, 55], [-1, 57], [-2, 59], [1, 61], [-1, 63], [1, 67], [-1, 69], [1, 71], [1, 73], [-1, 75], [1, 77], [1, 79], [-1, 81], [1, 83], [1, 85], [-1, 87], [1, 89], [-1, 91], [-1, 93], [1, 95], [-1, 97], [1, 101], [-1, 103], [1, 107], [-1, 109], [-1, 111], [-1, 115], [1, 117], [-1, 121], [1, 123], [1, 129], [1, 135], [1, 137], [-1, 143]], [[1, 1], [1, 3], [1, 11], [-1, 17], [-1, 27], [1, 31], [-1, 45], [1, 53], [1, 59], [-1, 67], [-1, 73], [-1, 79], [1, 87], [-1, 101], [1, 105], [2, 115], [-1, 129], [-1, 131], [1, 143]], [[1, 51], [-1, 79], [1, 103], [-1, 131]], [[-1, 1], [-1, 3], [1, 15], [1, 17], [1, 27], [-1, 31], [-1, 37], [-1, 41], [1, 45], [-1, 53], [-1, 59], [1, 67], [1, 73], [1, 79], [-1, 87], [-1, 89], [1, 101], [-1, 105], [-1, 115], [1, 119], [1, 129], [1, 131], [-1, 143]], [[-1, 71], [-1, 85], [1, 97], [1, 111]], [[1, 9], [1, 17], [-1, 35], [1, 61], [-1, 95], [1, 113], [-1, 139]], [[-1, 1], [-1, 11], [1, 15], [1, 25], [1, 27], [-2, 29], [1, 37], [-1, 39], [-1, 41], [1, 43], [-1, 51], [2, 55], [-1, 57], [-1, 63], [1, 65], [-1, 69], [1, 71], [1, 77], [1, 83], [-1, 85], [1, 89], [-1, 91], [-1, 97], [1, 99], [-1, 103], [1, 111], [-1, 113], [-1, 115], [1, 117], [-1, 125], [1, 129], [1, 139], [-1, 143]], [[-1, 3], [-1, 23], [1, 29], [-1, 55], [-1, 75], [1, 81], [1, 133]], [[1, 1], [-1, 5], [-1, 9], [-1, 15], [-1, 21], [1, 23], [-1, 27], [1, 29], [1, 35], [-1, 37], [1, 41], [-1, 43], [-1, 49], [1, 51], [1, 53], [-1, 55], [1, 57], [-1, 61], [1, 63], [-1, 65], [-1, 67], [1, 69], [-1, 71], [-1, 73], [1, 75], [-1, 77], [1, 81], [-1, 83], [1, 85], [1, 87], [-1, 89], [1, 91], [-1, 95], [1, 97], [-1, 101], [1, 103], [1, 109], [-1, 111], [1, 115], [-1, 117], [-1, 123], [-1, 129], [1, 135], [1, 137], [1, 143]], [[1, 1], [1, 25], [-1, 27], [-1, 79], [1, 105], [1, 129], [-1, 131]], [[-1, 1], [-1, 3], [-1, 11], [1, 17], [1, 27], [-1, 31], [1, 45], [-1, 53], [-1, 59], [1, 67], [1, 73], [1, 79], [-1, 87], [1, 101], [-1, 105], [-2, 115], [1, 129], [1, 131], [-1, 143]], [[-1, 1], [1, 9], [1, 15], [-1, 23], [1, 27], [-1, 29], [1, 31], [-1, 35], [1, 37], [-1, 41], [1, 43], [1, 49], [-1, 51], [-1, 53], [1, 55], [-1, 57], [1, 61], [-1, 63], [1, 65], [1, 67], [-1, 69], [1, 71], [1, 73], [-1, 75], [1, 77], [-1, 81], [1, 83], [-1, 85], [-1, 87], [1, 89], [-1, 91], [1, 95], [-1, 97], [1, 99], [1, 101], [-1, 103], [-2, 109], [1, 111], [-1, 115], [1, 117], [1, 123], [-1, 125], [1, 129], [-1, 137], [-1, 143]], [[-1, 9], [-1, 17], [1, 35], [-1, 61], [1, 95], [-1, 113], [1, 139]], [[1, 1], [1, 3], [1, 11], [-1, 15], [1, 23], [-1, 25], [-1, 27], [1, 29], [-1, 37], [1, 39], [1, 41], [-1, 43], [-1, 49], [1, 51], [-1, 55], [1, 57], [1, 63], [-1, 65], [1, 69], [-1, 71], [1, 75], [-1, 77], [-1, 81], [-1, 83], [1, 85], [-1, 89], [1, 91], [1, 97], [-1, 99], [1, 103], [-1, 111], [1, 113], [1, 115], [-1, 117], [1, 125], [-1, 129], [-1, 139], [1, 143]], [[-1, 57], [1, 83], [-1, 99], [1, 125]], [[1, 43], [-1, 69], [1, 113], [-1, 139]], [[1, 1], [-1, 5], [-1, 9], [-1, 15], [-1, 17], [1, 19], [-1, 27], [1, 29], [1, 31], [-1, 33], [1, 41], [-1, 45], [1, 47], [1, 53], [-1, 55], [1, 59], [-2, 61], [-1, 67], [-1, 73], [1, 75], [-1, 79], [1, 81], [1, 87], [-1, 89], [1, 93], [-1, 101], [1, 103], [1, 105], [-1, 107], [1, 115], [-1, 117], [-1, 119], [1, 121], [-1, 129], [1, 133], [1, 143]], [[1, 45], [1, 59], [-1, 123], [-1, 137]], [[-1, 1], [-1, 25], [1, 27], [1, 79], [-1, 105], [-1, 129], [1, 131]], [[1, 1], [-1, 9], [-1, 15], [1, 23], [-1, 27], [1, 29], [-1, 31], [1, 35], [-1, 37], [1, 41], [-1, 43], [-1, 49], [1, 51], [1, 53], [-1, 55], [1, 57], [-1, 61], [1, 63], [-1, 65], [-1, 67], [1, 69], [-1, 71], [-1, 73], [1, 75], [-1, 77], [1, 81], [-1, 83], [1, 85], [1, 87], [-1, 89], [1, 91], [-1, 95], [1, 97], [-1, 99], [-1, 101], [1, 103], [2, 109], [-1, 111], [1, 115], [-1, 117], [-1, 123], [1, 125], [-1, 129], [1, 137], [1, 143]], [[1, 11], [1, 15], [-1, 37], [-1, 41], [1, 63], [-1, 89], [1, 115]], [[1, 71], [1, 85], [-1, 97], [-1, 111]], [[-1, 43], [1, 69], [-1, 113], [1, 139]], [[-1, 51], [1, 79], [-1, 103], [1, 131]], [[-1, 1], [-1, 3], [-1, 11], [1, 15], [-1, 23], [1, 25], [1, 27], [-1, 29], [1, 37], [-1, 39], [-1, 41], [1, 43], [1, 49], [-1, 51], [1, 55], [-1, 57], [-1, 63], [1, 65], [-1, 69], [1, 71], [-1, 75], [1, 77], [1, 81], [1, 83], [-1, 85], [1, 89], [-1, 91], [-1, 97], [1, 99], [-1, 103], [1, 111], [-1, 113], [-1, 115], [1, 117], [-1, 125], [1, 129], [1, 139], [-1, 143]], [[1, 1], [1, 11], [-1, 15], [-1, 25], [-1, 27], [2, 29], [-1, 37], [1, 39], [1, 41], [-1, 43], [1, 51], [-2, 55], [1, 57], [1, 63], [-1, 65], [1, 69], [-1, 71], [-1, 77], [-1, 83], [1, 85], [-1, 89], [1, 91], [1, 97], [-1, 99], [1, 103], [-1, 111], [1, 113], [1, 115], [-1, 117], [1, 125], [-1, 129], [-1, 139], [1, 143]], [[1, 3], [1, 23], [-1, 29], [1, 55], [1, 75], [-1, 81], [-1, 133]], [[1, 1], [2, 7], [-1, 15], [1, 19], [-1, 21], [-1, 27], [1, 29], [-1, 33], [1, 35], [1, 41], [-1, 43], [1, 47], [-1, 49], [1, 53], [-1, 55], [1, 57], [2, 59], [-1, 61], [1, 63], [-1, 67], [1, 69], [-1, 71], [-1, 73], [1, 75], [-1, 77], [-1, 79], [1, 81], [-1, 83], [-1, 85], [1, 87], [-1, 89], [1, 91], [1, 93], [-1, 95], [1, 97], [-1, 101], [1, 103], [-1, 107], [1, 109], [1, 111], [1, 115], [-1, 117], [1, 121], [-1, 123], [-1, 129], [-1, 135], [-1, 137], [1, 143]], [[1, 1], [1, 25], [-1, 27], [-1, 51], [1, 77], [-1, 103], [1, 129]], [[1, 57], [-1, 83], [1, 99], [-1, 125]]]}
• 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: 76197416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1456, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 182, 'label': '1456.23.1.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': '1456.23', 'subgroup_hash': 23, 'subgroup_order': 1456, 'subgroup_tex': 'C_{91}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76197427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': True, 'core_order': 728, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1456.23.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '728.14', 'subgroup_hash': 14, 'subgroup_order': 728, 'subgroup_tex': 'C_{91}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76197438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 728, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1456.23.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '728.24', 'subgroup_hash': 24, 'subgroup_order': 728, 'subgroup_tex': 'C_{91}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76197446
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 52, 'characteristic': True, 'core_order': 728, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1456.23.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '728.1', 'subgroup_hash': 1, 'subgroup_order': 728, 'subgroup_tex': 'C_7:C_{104}', 'supersolvable': True, 'sylow': 0}
  • id: 76197447
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 364, 'characteristic': True, 'core_order': 364, 'counter': 5, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1456.23.4.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': ['D', 'F', 'L1', 'D1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '364.4', 'subgroup_hash': 4, 'subgroup_order': 364, 'subgroup_tex': 'C_{364}', 'supersolvable': True, 'sylow': 0}
  • id: 76197448
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': False, 'core_order': 182, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1456.23.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '364.2', 'subgroup_hash': 2, 'subgroup_order': 364, 'subgroup_tex': 'C_{13}:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76197449
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 182, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1456.23.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '364.3', 'subgroup_hash': 3, 'subgroup_order': 364, 'subgroup_tex': 'C_{91}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76197450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 104, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 26, 'label': '1456.23.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '208.8', 'subgroup_hash': 8, 'subgroup_order': 208, 'subgroup_tex': 'C_{13}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76197451
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 364, 'characteristic': True, 'core_order': 182, 'counter': 9, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1456.23.8.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': ['S', 'L2', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '182.4', 'subgroup_hash': 4, 'subgroup_order': 182, 'subgroup_tex': 'C_{182}', 'supersolvable': True, 'sylow': 0}
  • id: 76197417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 56, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '1456.23.13.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13.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': 13, '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': '112.17', 'subgroup_hash': 17, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76197418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': True, 'core_order': 104, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1456.23.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '104.4', 'subgroup_hash': 4, 'subgroup_order': 104, 'subgroup_tex': 'C_{13}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76197419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 52, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1456.23.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.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': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104.4', 'subgroup_hash': 4, 'subgroup_order': 104, 'subgroup_tex': 'C_{13}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76197420
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 104, 'characteristic': False, 'core_order': 52, 'counter': 13, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1456.23.14.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.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': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104.2', 'subgroup_hash': 2, 'subgroup_order': 104, 'subgroup_tex': 'C_{104}', 'supersolvable': True, 'sylow': 0}
  • id: 76197421
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 364, 'characteristic': True, 'core_order': 91, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 91, 'label': '1456.23.16.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': '16.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '91.1', 'subgroup_hash': 1, 'subgroup_order': 91, 'subgroup_tex': 'C_{91}', 'supersolvable': True, 'sylow': 0}
  • id: 76197422
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 52, 'characteristic': True, 'core_order': 56, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1456.23.26.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '26.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '26.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 26, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{13}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.1', 'subgroup_hash': 1, 'subgroup_order': 56, 'subgroup_tex': 'C_7:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 76197423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': False, 'core_order': 28, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1456.23.26.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '26.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': 26, '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': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76197424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 28, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1456.23.26.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26.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': 26, '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': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76197425
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 728, 'characteristic': True, 'core_order': 52, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1456.23.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '52.2', 'subgroup_hash': 2, 'subgroup_order': 52, 'subgroup_tex': 'C_{52}', 'supersolvable': True, 'sylow': 0}
  • id: 76197426
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': False, 'core_order': 26, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1456.23.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52.1', 'subgroup_hash': 1, 'subgroup_order': 52, 'subgroup_tex': 'C_{13}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76197428
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 26, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1456.23.28.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52.1', 'subgroup_hash': 1, 'subgroup_order': 52, 'subgroup_tex': 'C_{13}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76197429
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 364, 'characteristic': True, 'core_order': 28, 'counter': 21, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1456.23.52.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '52.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '52.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 52, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{26}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76197430
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 14, 'counter': 22, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1456.23.52.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.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': 52, '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': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76197431
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 14, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1456.23.52.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52.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': 52, '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': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76197432
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 728, 'characteristic': True, 'core_order': 26, 'counter': 24, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1456.23.56.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '26.2', 'subgroup_hash': 2, 'subgroup_order': 26, 'subgroup_tex': 'C_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 76197433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1456.23.91.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '91.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': 91, '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': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 2}
  • id: 76197434
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 728, 'characteristic': True, 'core_order': 14, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1456.23.104.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '104.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '104.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 104, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{52}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76197435
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 728, 'characteristic': True, 'core_order': 13, 'counter': 27, 'cyclic': True, 'direct': False, 'hall': 13, 'label': '1456.23.112.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '112.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.17', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:Q_{16}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '13.1', 'subgroup_hash': 1, 'subgroup_order': 13, 'subgroup_tex': 'C_{13}', 'supersolvable': True, 'sylow': 13}
  • id: 76197436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': False, 'core_order': 4, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1456.23.182.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '182.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': 182, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76197437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1456.23.182.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '182.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': 182, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76197439
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 104, 'characteristic': False, 'core_order': 4, 'counter': 30, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1456.23.182.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '182.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': 182, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 76197440
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 728, 'characteristic': True, 'core_order': 7, 'counter': 31, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '1456.23.208.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '208.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '208.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 208, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{13}:Q_{16}', 'simple': True, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 76197441
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 728, 'characteristic': True, 'core_order': 4, 'counter': 32, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1456.23.364.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '364.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '364.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 364, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7\\times D_{13}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76197442
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 2, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1456.23.364.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '364.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': 364, '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: 76197443
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 34, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1456.23.364.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '364.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': 364, '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: 76197444
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1456, 'characteristic': True, 'core_order': 2, 'counter': 35, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1456.23.728.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '728.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '728.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 728, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:D_{52}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U1'], '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: 76197445
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1456.23', 'ambient_counter': 23, 'ambient_order': 1456, 'ambient_tex': 'C_{91}:Q_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1456, 'characteristic': True, 'core_order': 1, 'counter': 36, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1456.23.1456.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1456.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1456.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1456, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{91}:Q_{16}', '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: 76197416
    {'ambient': '1456.23', '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': '728.a1.a1', 'complements': ['1456.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '7.a1.a1', '13.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6373, 5351, 2717, 5253, 6387, 5000, 5696, 5000], 'generators': [1, 16, 156, 104, 26, 208], 'label': '1456.23.1.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'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '728.11', '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': '728.11'}
  • id: 76197417
    {'ambient': '1456.23', 'aut_centralizer_order': 12, 'aut_label': '13.a1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 156, 'centralizer': '728.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['26.a1.a1', '26.b1.a1', '26.c1.a1', '91.a1.a1'], 'core': '26.a1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [5992, -1, 430, -1, 8889, -1, 5696, -1], 'generators': [1, 156, 104, 26, 208], 'label': '1456.23.13.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '13.a1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13.a1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 76197418
    {'ambient': '1456.23', 'aut_centralizer_order': 84, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1248.1162', 'aut_weyl_index': 84, 'centralizer': '104.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.b1.a1', '182.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4490, 1670, 3635, 1068, 5904, 2306, 3352, 2306], 'generators': [1, 104, 16, 156], 'label': '1456.23.14.a1.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '104.6'}
  • id: 76197419
    {'ambient': '1456.23', 'aut_centralizer_order': 12, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '1248.1162', 'aut_weyl_index': 84, 'centralizer': '728.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.c1.a1', '182.b1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [9425, -1, 5949, -1, 4043, -1, 8513, -1], 'generators': [3, 104, 16, 156], 'label': '1456.23.14.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.b1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1.a1', 'subgroup_fusion': None, 'weyl_group': '104.6'}
  • id: 76197420
    {'ambient': '1456.23', 'aut_centralizer_order': 312, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '48.44', 'aut_weyl_index': 2184, 'centralizer': '14.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '182.c1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8060, -1, 2062, -1, 8056, -1, 5968, -1], 'generators': [26, 52, 104, 16], 'label': '1456.23.14.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.c1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197421
    {'ambient': '1456.23', 'aut_centralizer_order': 1456, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '72.36', 'aut_weyl_index': 1456, 'centralizer': '4.a1.a1', 'complements': ['91.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['112.a1.a1', '208.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [325, 8272, 9570, 5253, 1479, 8429, 3159, 8429], 'generators': [208, 16], 'label': '1456.23.16.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['112.a1.a1', '208.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '1456.23', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76197422
    {'ambient': '1456.23', 'aut_centralizer_order': 624, 'aut_label': '26.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '168.47', 'aut_weyl_index': 624, 'centralizer': '28.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '13.a1.a1'], 'contains': ['52.a1.a1', '182.c1.a1'], 'core': '26.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5826, 4402, 744, 8932, 8889, 7571, 5134, 7571], 'generators': [26, 104, 208, 52], 'label': '1456.23.26.a1.a1', 'mobius_quo': 0, 'mobius_sub': 13, 'normal_closure': '26.a1.a1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['52.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '26.a1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26.a1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76197423
    {'ambient': '1456.23', 'aut_centralizer_order': 168, 'aut_label': '26.b1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '48.45', 'aut_weyl_index': 2184, 'centralizer': '104.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '13.a1.a1'], 'contains': ['52.a1.a1', '52.b1.a1', '182.a1.a1'], 'core': '52.a1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [3701, -1, 2453, -1, 7028, -1, 2229, -1], 'generators': [1, 208, 104, 156], 'label': '1456.23.26.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '26.b1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 76197424
    {'ambient': '1456.23', 'aut_centralizer_order': 24, 'aut_label': '26.c1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '336.125', 'aut_weyl_index': 312, 'centralizer': '728.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '13.a1.a1'], 'contains': ['52.a1.a1', '52.c1.a1', '182.b1.a1'], 'core': '52.a1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [6679, -1, 4077, -1, 4974, -1, 7582, -1], 'generators': [3, 104, 208, 156], 'label': '1456.23.26.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '26.c1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26.c1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 76197425
    {'ambient': '1456.23', 'aut_centralizer_order': 4368, 'aut_label': '28.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 4368, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1', '14.b1.a1', '14.c1.a1'], 'contains': ['56.a1.a1', '364.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5807, 3187, 5378, 2209, 5518, 3204, 5713, 3204], 'generators': [156, 104, 16], 'label': '1456.23.28.a1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '364.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '728.11', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.1', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197426
    {'ambient': '1456.23', 'aut_centralizer_order': 168, 'aut_label': '28.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '312.45', 'aut_weyl_index': 336, 'centralizer': '104.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.a1.a1'], 'contains': ['56.a1.a1', '364.b1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2356, -1, 6909, -1, 3832, -1, 2545, -1], 'generators': [1, 16, 104], 'label': '1456.23.28.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.b1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': '52.4'}
  • id: 76197427
    {'ambient': '1456.23', 'aut_centralizer_order': 14, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 14, 'centralizer': '104.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '14.a1.a1', '26.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3498, 1670, 3703, 1934, 4684, 1796, 2615, 1796], 'generators': [1, 208, 104, 156, 16], 'label': '1456.23.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '14.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '728.11', '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': '104.6'}
  • id: 76197428
    {'ambient': '1456.23', 'aut_centralizer_order': 24, 'aut_label': '28.c1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '312.45', 'aut_weyl_index': 336, 'centralizer': '728.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.b1.a1'], 'contains': ['56.a1.a1', '364.c1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [9072, -1, 8898, -1, 1971, -1, 8697, -1], 'generators': [3, 16, 104], 'label': '1456.23.28.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '28.c1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.a1', 'subgroup_fusion': None, 'weyl_group': '52.4'}
  • id: 76197429
    {'ambient': '1456.23', 'aut_centralizer_order': 8736, 'aut_label': '52.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8736, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '26.a1.a1', '26.b1.a1', '26.c1.a1'], 'contains': ['104.a1.a1', '364.a1.a1'], 'core': '52.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3599, 5161, 3678, 8086, 6291, 5000, 4941, 5000], 'generators': [156, 104, 208], 'label': '1456.23.52.a1.a1', 'mobius_quo': 0, 'mobius_sub': -26, 'normal_closure': '52.a1.a1', 'normal_contained_in': ['4.a1.a1', '26.a1.a1'], 'normal_contains': ['104.a1.a1', '364.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '52.a1.a1', 'projective_image': '728.11', 'quotient_action_image': '4.2', 'quotient_action_kernel': '13.1', 'quotient_action_kernel_order': 13, 'quotient_fusion': None, 'short_label': '52.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76197430
    {'ambient': '1456.23', 'aut_centralizer_order': 336, 'aut_label': '52.b1', 'aut_quo_index': None, 'aut_stab_index': 26, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8736, 'centralizer': '52.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '26.b1.a1'], 'contains': ['104.a1.a1', '364.b1.a1'], 'core': '104.a1.a1', 'coset_action_label': None, 'count': 26, 'diagramx': [1484, -1, 5616, -1, 4745, -1, 1632, -1], 'generators': [1, 104, 208], 'label': '1456.23.52.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '26.b1.a1', 'old_label': '52.b1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197431
    {'ambient': '1456.23', 'aut_centralizer_order': 48, 'aut_label': '52.c1', 'aut_quo_index': None, 'aut_stab_index': 26, 'aut_weyl_group': '84.7', 'aut_weyl_index': 1248, 'centralizer': '728.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '26.c1.a1'], 'contains': ['104.a1.a1', '364.c1.a1'], 'core': '104.a1.a1', 'coset_action_label': None, 'count': 26, 'diagramx': [6994, -1, 6704, -1, 2902, -1, 7767, -1], 'generators': [3, 208, 104], 'label': '1456.23.52.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '26.c1.a1', 'old_label': '52.c1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.c1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76197432
    {'ambient': '1456.23', 'aut_centralizer_order': 8736, 'aut_label': '56.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.2', 'aut_weyl_index': 8736, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1'], 'contains': ['112.a1.a1', '728.a1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3006, 5161, 8355, 2209, 2252, 4837, 5336, 4837], 'generators': [104, 16], 'label': '1456.23.56.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1', '728.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': '728.11', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.1', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197433
    {'ambient': '1456.23', 'aut_centralizer_order': 72, 'aut_label': '91.a1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6552, 'centralizer': '728.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.a1.a1', '13.a1.a1'], 'contains': ['182.a1.a1', '182.b1.a1', '182.c1.a1'], 'core': '364.a1.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [7986, -1, 1943, -1, 9688, -1, 6784, -1], 'generators': [1, 26], 'label': '1456.23.91.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '91.a1.a1', 'old_label': '91.a1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '91.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 76197434
    {'ambient': '1456.23', 'aut_centralizer_order': 17472, 'aut_label': '104.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 17472, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '52.a1.a1', '52.b1.a1', '52.c1.a1'], 'contains': ['208.a1.a1', '728.a1.a1'], 'core': '104.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1169, 6774, 7240, 7430, 3025, 6633, 4564, 6633], 'generators': [104, 208], 'label': '1456.23.104.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '104.a1.a1', 'normal_contained_in': ['8.a1.a1', '52.a1.a1'], 'normal_contains': ['208.a1.a1', '728.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '104.a1.a1', 'projective_image': '728.11', 'quotient_action_image': '2.1', 'quotient_action_kernel': '52.4', 'quotient_action_kernel_order': 52, 'quotient_fusion': None, 'short_label': '104.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197435
    {'ambient': '1456.23', 'aut_centralizer_order': 8736, 'aut_label': '112.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.2', 'aut_weyl_index': 8736, 'centralizer': '2.c1.a1', 'complements': ['13.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.a1.a1'], 'contains': ['1456.a1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1169, 6774, 8779, 2209, 2252, 6469, 4634, 6469], 'generators': [16], 'label': '1456.23.112.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '112.a1.a1', 'normal_contained_in': ['16.a1.a1', '56.a1.a1'], 'normal_contains': ['1456.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.a1.a1', 'projective_image': '1456.23', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.1', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197436
    {'ambient': '1456.23', 'aut_centralizer_order': 1008, 'aut_label': '182.a1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '8.3', 'aut_weyl_index': 13104, 'centralizer': '104.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.a1.a1', '26.b1.a1', '91.a1.a1'], 'contains': ['364.a1.a1', '364.b1.a1'], 'core': '364.a1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [4647, -1, 3083, -1, 7625, -1, 4239, -1], 'generators': [1, 156], 'label': '1456.23.182.a1.a1', 'mobius_quo': None, 'mobius_sub': -7, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '182.a1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '182.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 76197437
    {'ambient': '1456.23', 'aut_centralizer_order': 144, 'aut_label': '182.b1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '8.3', 'aut_weyl_index': 13104, 'centralizer': '728.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.b1.a1', '26.c1.a1', '91.a1.a1'], 'contains': ['364.a1.a1', '364.c1.a1'], 'core': '364.a1.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [8339, -1, 4698, -1, 6993, -1, 7047, -1], 'generators': [3, 156], 'label': '1456.23.182.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '91.a1.a1', 'old_label': '182.b1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '182.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 76197438
    {'ambient': '1456.23', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '728.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '14.b1.a1', '26.c1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7106, 8330, 5038, 5253, 3306, 5000, 7872, 5000], 'generators': [3, 104, 208, 156, 16], 'label': '1456.23.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '728.11'}
  • id: 76197439
    {'ambient': '1456.23', 'aut_centralizer_order': 3744, 'aut_label': '182.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '4.2', 'aut_weyl_index': 26208, 'centralizer': '14.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.c1.a1', '26.a1.a1', '91.a1.a1'], 'contains': ['364.a1.a1'], 'core': '364.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7189, -1, 1475, -1, 8442, -1, 6415, -1], 'generators': [26], 'label': '1456.23.182.c1.a1', 'mobius_quo': None, 'mobius_sub': -13, 'normal_closure': '26.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '182.c1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '182.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197440
    {'ambient': '1456.23', 'aut_centralizer_order': 17472, 'aut_label': '208.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 17472, 'centralizer': '2.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '104.a1.a1'], 'contains': ['1456.a1.a1'], 'core': '208.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [584, 7969, 8967, 7832, 2990, 8102, 3932, 8102], 'generators': [208], 'label': '1456.23.208.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '208.a1.a1', 'normal_contained_in': ['16.a1.a1', '104.a1.a1'], 'normal_contains': ['1456.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '208.a1.a1', 'projective_image': '1456.23', 'quotient_action_image': '2.1', 'quotient_action_kernel': '104.4', 'quotient_action_kernel_order': 104, 'quotient_fusion': None, 'short_label': '208.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197441
    {'ambient': '1456.23', 'aut_centralizer_order': 52416, 'aut_label': '364.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 52416, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['28.a1.a1', '52.a1.a1', '182.a1.a1', '182.b1.a1', '182.c1.a1'], 'contains': ['728.a1.a1'], 'core': '364.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5371, 3814, 3890, 4915, 6642, 3204, 6038, 3204], 'generators': [156], 'label': '1456.23.364.a1.a1', 'mobius_quo': 0, 'mobius_sub': 182, 'normal_closure': '364.a1.a1', 'normal_contained_in': ['28.a1.a1', '52.a1.a1'], 'normal_contains': ['728.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '364.a1.a1', 'projective_image': '728.11', 'quotient_action_image': '2.1', 'quotient_action_kernel': '182.1', 'quotient_action_kernel_order': 182, 'quotient_fusion': None, 'short_label': '364.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197442
    {'ambient': '1456.23', 'aut_centralizer_order': 2016, 'aut_label': '364.b1', 'aut_quo_index': None, 'aut_stab_index': 26, 'aut_weyl_group': '2.1', 'aut_weyl_index': 52416, 'centralizer': '52.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.b1.a1', '52.b1.a1', '182.a1.a1'], 'contains': ['728.a1.a1'], 'core': '728.a1.a1', 'coset_action_label': None, 'count': 26, 'diagramx': [2588, -1, 5829, -1, 4491, -1, 3861, -1], 'generators': [1], 'label': '1456.23.364.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '26.b1.a1', 'old_label': '364.b1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '364.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197443
    {'ambient': '1456.23', 'aut_centralizer_order': 288, 'aut_label': '364.c1', 'aut_quo_index': None, 'aut_stab_index': 182, 'aut_weyl_group': '2.1', 'aut_weyl_index': 52416, 'centralizer': '364.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.c1.a1', '52.c1.a1', '182.b1.a1'], 'contains': ['728.a1.a1'], 'core': '728.a1.a1', 'coset_action_label': None, 'count': 182, 'diagramx': [7199, -1, 6807, -1, 3727, -1, 7407, -1], 'generators': [3], 'label': '1456.23.364.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '182.b1.a1', 'old_label': '364.c1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '364.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76197444
    {'ambient': '1456.23', 'aut_centralizer_order': 104832, 'aut_label': '728.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 104832, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['56.a1.a1', '104.a1.a1', '364.a1.a1', '364.b1.a1', '364.c1.a1'], 'contains': ['1456.a1.a1'], 'core': '728.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2912, 5218, 7088, 4915, 3674, 4837, 5336, 4837], 'generators': [104], 'label': '1456.23.728.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '728.a1.a1', 'normal_contained_in': ['56.a1.a1', '104.a1.a1', '364.a1.a1'], 'normal_contains': ['1456.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '728.a1.a1', 'projective_image': '728.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '728.11', 'quotient_action_kernel_order': 728, 'quotient_fusion': None, 'short_label': '728.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76197445
    {'ambient': '1456.23', 'aut_centralizer_order': None, 'aut_label': '1456.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': ['112.a1.a1', '208.a1.a1', '728.a1.a1'], 'contains': [], 'core': '1456.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1169, 6774, 8500, 4915, 2990, 6469, 4634, 6469], 'generators': [], 'label': '1456.23.1456.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1456.a1.a1', 'normal_contained_in': ['112.a1.a1', '208.a1.a1', '728.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1456.a1.a1', 'projective_image': '1456.23', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1456.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76197446
    {'ambient': '1456.23', 'aut_centralizer_order': 52, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 52, 'centralizer': '28.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '14.c1.a1', '26.a1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5297, 5351, 1730, 8572, 6387, 8204, 4318, 8204], 'generators': [26, 52, 104, 16, 208], 'label': '1456.23.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '26.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76197447
    {'ambient': '1456.23', 'aut_centralizer_order': 728, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '144.178', 'aut_weyl_index': 728, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '28.a1.a1', '52.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3636, 5654, 4401, 5253, 3095, 5000, 4300, 5000], 'generators': [156, 16, 104, 208], 'label': '1456.23.4.a1.a1', 'mobius_quo': 0, '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', '28.a1.a1', '52.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '728.11', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76197448
    {'ambient': '1456.23', 'aut_centralizer_order': 28, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1872.1027', 'aut_weyl_index': 56, 'centralizer': '104.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '28.b1.a1', '52.b1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1744, -1, 6662, -1, 1822, -1, 772, -1], 'generators': [1, 104, 16, 208], 'label': '1456.23.4.b1.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.b1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '52.4'}
  • id: 76197449
    {'ambient': '1456.23', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '728.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '28.c1.a1', '52.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7459, -1, 8022, -1, 443, -1, 9557, -1], 'generators': [3, 208, 16, 104], 'label': '1456.23.4.c1.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.c1.a1', 'projective_image': '728.11', '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': '364.10'}
  • id: 76197450
    {'ambient': '1456.23', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '2496.m', 'aut_weyl_index': 42, 'centralizer': '728.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '14.b1.a1', '14.c1.a1', '91.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [9675, -1, 2675, -1, 7801, -1, 6784, -1], 'generators': [1, 156, 104, 26, 16], 'label': '1456.23.7.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '728.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '104.6'}
  • id: 76197451
    {'ambient': '1456.23', 'aut_centralizer_order': 1456, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '72.36', 'aut_weyl_index': 1456, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '56.a1.a1', '104.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1549, 7001, 8158, 5253, 1023, 6898, 3493, 6898], 'generators': [104, 16, 208], 'label': '1456.23.8.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '56.a1.a1', '104.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '728.11', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}