Abstract group data - 976500.a

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• gps_groups •

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

  
  {'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '1.1', 'all_subgroups_known': True, 'almost_simple': True, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 39060, 'aut_gen_orders': [124, 3, 3], 'aut_gens': [[154296880, 62629], [90977150, 140851084], [87404315, 38688637], [168862491, 61261745]], 'aut_group': '5859000.a', 'aut_hash': 7070641793091841391, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5859000, 'aut_permdeg': 7875, 'aut_perms': 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'aut_phi_ratio': 27.125, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 7875, 1, 1], [3, 15500, 1, 1], [5, 7812, 2, 1], [7, 15500, 3, 1], [9, 15500, 3, 1], [21, 15500, 3, 2], [31, 15750, 3, 5], [62, 15750, 3, 5], [63, 15500, 3, 6]], 'aut_supersolvable': False, 'aut_tex': '\\PSL(2,125).C_6', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 39060, 'autcentquo_group': '5859000.a', 'autcentquo_hash': 7070641793091841391, 'autcentquo_nilpotent': False, 'autcentquo_order': 5859000, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\PSL(2,125).C_6', 'cc_stats': [[1, 1, 1], [2, 7875, 1], [3, 15500, 1], [5, 7812, 2], [7, 15500, 3], [9, 15500, 3], [21, 15500, 6], [31, 15750, 15], [62, 15750, 15], [63, 15500, 18]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '976500.a', 'commutator_count': 1, 'commutator_label': '976500.a', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['976500.a'], 'composition_length': 1, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 0, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 7875, 1, 1], [3, 15500, 1, 1], [5, 7812, 2, 1], [7, 15500, 3, 1], [9, 15500, 3, 1], [21, 15500, 6, 1], [31, 15750, 15, 1], [62, 15750, 15, 1], [63, 15500, 18, 1]], 'element_repr_type': 'Lie', 'elementary': 1, 'eulerian_function': 161420, 'exponent': 19530, 'exponents_of_order': [3, 2, 2, 1, 1], 'factors_of_aut_order': [2, 3, 5, 7, 31], 'factors_of_order': [2, 3, 5, 7, 31], 'faithful_reps': [[63, 1, 2], [124, 1, 31], [125, 1, 1], [126, 1, 30]], 'familial': True, 'frattini_label': '1.1', 'frattini_quotient': '976500.a', 'hash': 5862088591278379210, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 19530, 'inner_gen_orders': [62, 3], 'inner_gens': [[154296880, 1570754], [39937551, 62629]], 'inner_hash': 5862088591278379210, 'inner_nilpotent': False, 'inner_order': 976500, 'inner_split': True, 'inner_tex': '\\PSL(2,125)', 'inner_used': [1, 2], 'irrC_degree': 63, 'irrQ_degree': 124, 'irrQ_dim': 124, 'irrR_degree': 63, 'irrep_stats': [[1, 1], [63, 2], [124, 31], [125, 1], [126, 30]], 'label': '976500.a', 'linC_count': 2, 'linC_degree': 63, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 124, 'linQ_degree_count': 1, 'linQ_dim': 124, 'linQ_dim_count': 1, 'linR_count': 2, 'linR_degree': 63, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'PSL(2,125)', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 24, 'number_characteristic_subgroups': 2, 'number_conjugacy_classes': 65, 'number_divisions': 10, 'number_normal_subgroups': 2, 'number_subgroup_autclasses': 28, 'number_subgroup_classes': 29, 'number_subgroups': 708273, 'old_label': None, 'order': 976500, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 7875], [3, 15500], [5, 15624], [7, 46500], [9, 46500], [21, 93000], [31, 236250], [62, 236250], [63, 279000]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [6], 'outer_gen_pows': [25308642], 'outer_gens': [[69559988, 353001]], 'outer_group': '6.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 6, 'outer_permdeg': 5, 'outer_perms': [28], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_6', 'pc_rank': None, 'perfect': True, 'permutation_degree': 126, 'pgroup': 0, 'primary_abelian_invariants': [], 'quasisimple': True, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [124, 1], [125, 1], [126, 1], [372, 2], [744, 1], [1890, 2], [2232, 1]], 'representations': {'Lie': [{'d': 2, 'q': 125, 'gens': [62629, 154296880], 'family': 'PSL'}, {'d': 2, 'q': 125, 'family': 'PSU'}, {'d': 3, 'q': 125, 'family': 'Omega'}, {'d': 3, 'q': 125, 'family': 'POmega'}], 'Perm': {'d': 126, 'gens': [676149748808105463211558818643397033512341226942325619398778669653734996209310770276849299288328445723087175542143045230907040637688604111561607280102335787034326499810956405479271879593605309364241417116495, 9413865216450532160705193199492345754329961388661993828843686610176132266702408213137826852957058812525338740822622146856306994288001565340423874664150305819171923937149791601824720903719794561215649625950134737]}}, 'schur_multiplier': [2], 'semidirect_product': False, 'simple': True, 'smith_abelian_invariants': [], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': '\\PSL(2,125)', 'transitive_degree': 126, '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: 177413760
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 976500, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1, 1], 'representative': 1953126, 'size': 1}
  • id: 177413771
    {'aut_label': '2A', 'centralizer': '7875.a1.a1', 'counter': 2, 'group_counter': 1, 'group_order': 976500, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2, 2], 'representative': 192277682, 'size': 7875}
  • id: 177413782
    {'aut_label': '3A', 'centralizer': '15500.a1.a1', 'counter': 3, 'group_counter': 1, 'group_order': 976500, 'label': '3A', 'order': 3, 'powers': [3, 1, 3, 3, 3], 'representative': 120261590, 'size': 15500}
  • id: 177413793
    {'aut_label': '5A1', 'centralizer': '7812.a1.a1', 'counter': 4, 'group_counter': 1, 'group_order': 976500, 'label': '5A1', 'order': 5, 'powers': [5, 5, 1, 5, 4], 'representative': 216824292, 'size': 7812}
  • id: 177413804
    {'aut_label': '5A1', 'centralizer': '7812.a1.a1', 'counter': 5, 'group_counter': 1, 'group_order': 976500, 'label': '5A2', 'order': 5, 'powers': [4, 4, 1, 4, 5], 'representative': 111390345, 'size': 7812}
  • id: 177413815
    {'aut_label': '7A1', 'centralizer': '15500.a1.a1', 'counter': 6, 'group_counter': 1, 'group_order': 976500, 'label': '7A1', 'order': 7, 'powers': [7, 8, 7, 1, 8], 'representative': 115332116, 'size': 15500}
  • id: 177413822
    {'aut_label': '7A1', 'centralizer': '15500.a1.a1', 'counter': 7, 'group_counter': 1, 'group_order': 976500, 'label': '7A2', 'order': 7, 'powers': [8, 6, 8, 1, 6], 'representative': 130975652, 'size': 15500}
  • id: 177413823
    {'aut_label': '7A1', 'centralizer': '15500.a1.a1', 'counter': 8, 'group_counter': 1, 'group_order': 976500, 'label': '7A3', 'order': 7, 'powers': [6, 7, 6, 1, 7], 'representative': 84710252, 'size': 15500}
  • id: 177413824
    {'aut_label': '9A1', 'centralizer': '15500.a1.a1', 'counter': 9, 'group_counter': 1, 'group_order': 976500, 'label': '9A1', 'order': 9, 'powers': [10, 3, 11, 10, 11], 'representative': 54725379, 'size': 15500}
  • id: 177413761
    {'aut_label': '9A1', 'centralizer': '15500.a1.a1', 'counter': 10, 'group_counter': 1, 'group_order': 976500, 'label': '9A2', 'order': 9, 'powers': [11, 3, 9, 11, 9], 'representative': 176982403, 'size': 15500}
  • id: 177413762
    {'aut_label': '9A1', 'centralizer': '15500.a1.a1', 'counter': 11, 'group_counter': 1, 'group_order': 976500, 'label': '9A4', 'order': 9, 'powers': [9, 3, 10, 9, 10], 'representative': 100418719, 'size': 15500}
  • id: 177413763
    {'aut_label': '21A1', 'centralizer': '15500.a1.a1', 'counter': 12, 'group_counter': 1, 'group_order': 976500, 'label': '21A1', 'order': 21, 'powers': [13, 6, 15, 3, 17], 'representative': 31561595, 'size': 15500}
  • id: 177413764
    {'aut_label': '21A2', 'centralizer': '15500.a1.a1', 'counter': 13, 'group_counter': 1, 'group_order': 976500, 'label': '21A2', 'order': 21, 'powers': [14, 7, 17, 3, 12], 'representative': 231984615, 'size': 15500}
  • id: 177413765
    {'aut_label': '21A1', 'centralizer': '15500.a1.a1', 'counter': 14, 'group_counter': 1, 'group_order': 976500, 'label': '21A4', 'order': 21, 'powers': [16, 8, 12, 3, 13], 'representative': 174791745, 'size': 15500}
  • id: 177413766
    {'aut_label': '21A1', 'centralizer': '15500.a1.a1', 'counter': 15, 'group_counter': 1, 'group_order': 976500, 'label': '21A5', 'order': 21, 'powers': [17, 7, 14, 3, 16], 'representative': 76069774, 'size': 15500}
  • id: 177413767
    {'aut_label': '21A2', 'centralizer': '15500.a1.a1', 'counter': 16, 'group_counter': 1, 'group_order': 976500, 'label': '21A8', 'order': 21, 'powers': [15, 6, 13, 3, 14], 'representative': 70466747, 'size': 15500}
  • id: 177413768
    {'aut_label': '21A2', 'centralizer': '15500.a1.a1', 'counter': 17, 'group_counter': 1, 'group_order': 976500, 'label': '21A10', 'order': 21, 'powers': [12, 8, 16, 3, 15], 'representative': 198131575, 'size': 15500}
  • id: 177413769
    {'aut_label': '31A1', 'centralizer': '15750.a1.a1', 'counter': 18, 'group_counter': 1, 'group_order': 976500, 'label': '31A1', 'order': 31, 'powers': [19, 20, 22, 24, 1], 'representative': 210602535, 'size': 15750}
  • id: 177413770
    {'aut_label': '31A2', 'centralizer': '15750.a1.a1', 'counter': 19, 'group_counter': 1, 'group_order': 976500, 'label': '31A2', 'order': 31, 'powers': [21, 23, 27, 31, 1], 'representative': 73675325, 'size': 15750}
  • id: 177413772
    {'aut_label': '31A3', 'centralizer': '15750.a1.a1', 'counter': 20, 'group_counter': 1, 'group_order': 976500, 'label': '31A3', 'order': 31, 'powers': [23, 26, 32, 27, 1], 'representative': 54376272, 'size': 15750}
  • id: 177413773
    {'aut_label': '31A4', 'centralizer': '15750.a1.a1', 'counter': 21, 'group_counter': 1, 'group_order': 976500, 'label': '31A4', 'order': 31, 'powers': [25, 29, 28, 20, 1], 'representative': 191399649, 'size': 15750}
  • id: 177413774
    {'aut_label': '31A1', 'centralizer': '15750.a1.a1', 'counter': 22, 'group_counter': 1, 'group_order': 976500, 'label': '31A5', 'order': 31, 'powers': [27, 32, 23, 21, 1], 'representative': 177560599, 'size': 15750}
  • id: 177413775
    {'aut_label': '31A1', 'centralizer': '15750.a1.a1', 'counter': 23, 'group_counter': 1, 'group_order': 976500, 'label': '31A6', 'order': 31, 'powers': [29, 30, 18, 28, 1], 'representative': 177104960, 'size': 15750}
  • id: 177413776
    {'aut_label': '31A4', 'centralizer': '15750.a1.a1', 'counter': 24, 'group_counter': 1, 'group_order': 976500, 'label': '31A7', 'order': 31, 'powers': [31, 27, 21, 30, 1], 'representative': 113339744, 'size': 15750}
  • id: 177413777
    {'aut_label': '31A8', 'centralizer': '15750.a1.a1', 'counter': 25, 'group_counter': 1, 'group_order': 976500, 'label': '31A8', 'order': 31, 'powers': [32, 24, 26, 23, 1], 'representative': 202227352, 'size': 15750}
  • id: 177413778
    {'aut_label': '31A8', 'centralizer': '15750.a1.a1', 'counter': 26, 'group_counter': 1, 'group_order': 976500, 'label': '31A9', 'order': 31, 'powers': [30, 21, 31, 18, 1], 'representative': 73799614, 'size': 15750}
  • id: 177413779
    {'aut_label': '31A2', 'centralizer': '15750.a1.a1', 'counter': 27, 'group_counter': 1, 'group_order': 976500, 'label': '31A10', 'order': 31, 'powers': [28, 18, 29, 25, 1], 'representative': 95595125, 'size': 15750}
  • id: 177413780
    {'aut_label': '31A4', 'centralizer': '15750.a1.a1', 'counter': 28, 'group_counter': 1, 'group_order': 976500, 'label': '31A11', 'order': 31, 'powers': [26, 19, 24, 32, 1], 'representative': 2155916, 'size': 15750}
  • id: 177413781
    {'aut_label': '31A2', 'centralizer': '15750.a1.a1', 'counter': 29, 'group_counter': 1, 'group_order': 976500, 'label': '31A12', 'order': 31, 'powers': [24, 22, 19, 26, 1], 'representative': 224812727, 'size': 15750}
  • id: 177413783
    {'aut_label': '31A3', 'centralizer': '15750.a1.a1', 'counter': 30, 'group_counter': 1, 'group_order': 976500, 'label': '31A13', 'order': 31, 'powers': [22, 25, 20, 19, 1], 'representative': 148083286, 'size': 15750}
  • id: 177413784
    {'aut_label': '31A8', 'centralizer': '15750.a1.a1', 'counter': 31, 'group_counter': 1, 'group_order': 976500, 'label': '31A14', 'order': 31, 'powers': [20, 28, 25, 22, 1], 'representative': 16972440, 'size': 15750}
  • id: 177413785
    {'aut_label': '31A3', 'centralizer': '15750.a1.a1', 'counter': 32, 'group_counter': 1, 'group_order': 976500, 'label': '31A15', 'order': 31, 'powers': [18, 31, 30, 29, 1], 'representative': 12941056, 'size': 15750}
  • id: 177413786
    {'aut_label': '62A1', 'centralizer': '15750.a1.a1', 'counter': 33, 'group_counter': 1, 'group_order': 976500, 'label': '62A1', 'order': 62, 'powers': [18, 34, 35, 36, 2], 'representative': 26278219, 'size': 15750}
  • id: 177413787
    {'aut_label': '62A3', 'centralizer': '15750.a1.a1', 'counter': 34, 'group_counter': 1, 'group_order': 976500, 'label': '62A3', 'order': 62, 'powers': [20, 37, 40, 43, 2], 'representative': 104072632, 'size': 15750}
  • id: 177413788
    {'aut_label': '62A1', 'centralizer': '15750.a1.a1', 'counter': 35, 'group_counter': 1, 'group_order': 976500, 'label': '62A5', 'order': 62, 'powers': [22, 40, 45, 46, 2], 'representative': 226683158, 'size': 15750}
  • id: 177413789
    {'aut_label': '62A7', 'centralizer': '15750.a1.a1', 'counter': 36, 'group_counter': 1, 'group_order': 976500, 'label': '62A7', 'order': 62, 'powers': [24, 43, 46, 39, 2], 'representative': 24948520, 'size': 15750}
  • id: 177413790
    {'aut_label': '62A9', 'centralizer': '15750.a1.a1', 'counter': 37, 'group_counter': 1, 'group_order': 976500, 'label': '62A9', 'order': 62, 'powers': [26, 46, 41, 33, 2], 'representative': 20360182, 'size': 15750}
  • id: 177413791
    {'aut_label': '62A7', 'centralizer': '15750.a1.a1', 'counter': 38, 'group_counter': 1, 'group_order': 976500, 'label': '62A11', 'order': 62, 'powers': [28, 47, 36, 40, 2], 'representative': 63348196, 'size': 15750}
  • id: 177413792
    {'aut_label': '62A3', 'centralizer': '15750.a1.a1', 'counter': 39, 'group_counter': 1, 'group_order': 976500, 'label': '62A13', 'order': 62, 'powers': [30, 44, 34, 47, 2], 'representative': 20668237, 'size': 15750}
  • id: 177413794
    {'aut_label': '62A3', 'centralizer': '15750.a1.a1', 'counter': 40, 'group_counter': 1, 'group_order': 976500, 'label': '62A15', 'order': 62, 'powers': [32, 41, 39, 42, 2], 'representative': 24197828, 'size': 15750}
  • id: 177413795
    {'aut_label': '62A9', 'centralizer': '15750.a1.a1', 'counter': 41, 'group_counter': 1, 'group_order': 976500, 'label': '62A17', 'order': 62, 'powers': [31, 38, 44, 35, 2], 'representative': 76787771, 'size': 15750}
  • id: 177413796
    {'aut_label': '62A19', 'centralizer': '15750.a1.a1', 'counter': 42, 'group_counter': 1, 'group_order': 976500, 'label': '62A19', 'order': 62, 'powers': [29, 35, 47, 37, 2], 'representative': 104920796, 'size': 15750}
  • id: 177413797
    {'aut_label': '62A19', 'centralizer': '15750.a1.a1', 'counter': 43, 'group_counter': 1, 'group_order': 976500, 'label': '62A21', 'order': 62, 'powers': [27, 33, 42, 44, 2], 'representative': 34467984, 'size': 15750}
  • id: 177413798
    {'aut_label': '62A9', 'centralizer': '15750.a1.a1', 'counter': 44, 'group_counter': 1, 'group_order': 976500, 'label': '62A23', 'order': 62, 'powers': [25, 36, 37, 45, 2], 'representative': 185337009, 'size': 15750}
  • id: 177413799
    {'aut_label': '62A1', 'centralizer': '15750.a1.a1', 'counter': 45, 'group_counter': 1, 'group_order': 976500, 'label': '62A25', 'order': 62, 'powers': [23, 39, 33, 38, 2], 'representative': 45875927, 'size': 15750}
  • id: 177413800
    {'aut_label': '62A7', 'centralizer': '15750.a1.a1', 'counter': 46, 'group_counter': 1, 'group_order': 976500, 'label': '62A27', 'order': 62, 'powers': [21, 42, 38, 34, 2], 'representative': 238881112, 'size': 15750}
  • id: 177413801
    {'aut_label': '62A19', 'centralizer': '15750.a1.a1', 'counter': 47, 'group_counter': 1, 'group_order': 976500, 'label': '62A29', 'order': 62, 'powers': [19, 45, 43, 41, 2], 'representative': 39638821, 'size': 15750}
  • id: 177413802
    {'aut_label': '63A1', 'centralizer': '15500.a1.a1', 'counter': 48, 'group_counter': 1, 'group_order': 976500, 'label': '63A1', 'order': 63, 'powers': [49, 12, 51, 9, 65], 'representative': 37542285, 'size': 15500}
  • id: 177413803
    {'aut_label': '63A2', 'centralizer': '15500.a1.a1', 'counter': 49, 'group_counter': 1, 'group_order': 976500, 'label': '63A2', 'order': 63, 'powers': [50, 13, 53, 10, 48], 'representative': 77233107, 'size': 15500}
  • id: 177413805
    {'aut_label': '63A4', 'centralizer': '15500.a1.a1', 'counter': 50, 'group_counter': 1, 'group_order': 976500, 'label': '63A4', 'order': 63, 'powers': [52, 14, 59, 11, 49], 'representative': 106002305, 'size': 15500}
  • id: 177413806
    {'aut_label': '63A1', 'centralizer': '15500.a1.a1', 'counter': 51, 'group_counter': 1, 'group_order': 976500, 'label': '63A5', 'order': 63, 'powers': [53, 15, 62, 11, 64], 'representative': 234394298, 'size': 15500}
  • id: 177413807
    {'aut_label': '63A8', 'centralizer': '15500.a1.a1', 'counter': 52, 'group_counter': 1, 'group_order': 976500, 'label': '63A8', 'order': 63, 'powers': [56, 16, 61, 9, 50], 'representative': 12485519, 'size': 15500}
  • id: 177413808
    {'aut_label': '63A2', 'centralizer': '15500.a1.a1', 'counter': 53, 'group_counter': 1, 'group_order': 976500, 'label': '63A10', 'order': 63, 'powers': [59, 17, 55, 9, 51], 'representative': 91992141, 'size': 15500}
  • id: 177413809
    {'aut_label': '63A8', 'centralizer': '15500.a1.a1', 'counter': 54, 'group_counter': 1, 'group_order': 976500, 'label': '63A11', 'order': 63, 'powers': [60, 17, 52, 10, 63], 'representative': 202725576, 'size': 15500}
  • id: 177413810
    {'aut_label': '63A2', 'centralizer': '15500.a1.a1', 'counter': 55, 'group_counter': 1, 'group_order': 976500, 'label': '63A13', 'order': 63, 'powers': [63, 16, 49, 11, 62], 'representative': 123301993, 'size': 15500}
  • id: 177413811
    {'aut_label': '63A16', 'centralizer': '15500.a1.a1', 'counter': 56, 'group_counter': 1, 'group_order': 976500, 'label': '63A16', 'order': 63, 'powers': [65, 15, 57, 10, 52], 'representative': 242950684, 'size': 15500}
  • id: 177413812
    {'aut_label': '63A16', 'centralizer': '15500.a1.a1', 'counter': 57, 'group_counter': 1, 'group_order': 976500, 'label': '63A17', 'order': 63, 'powers': [64, 14, 60, 9, 61], 'representative': 239815672, 'size': 15500}
  • id: 177413813
    {'aut_label': '63A19', 'centralizer': '15500.a1.a1', 'counter': 58, 'group_counter': 1, 'group_order': 976500, 'label': '63A19', 'order': 63, 'powers': [62, 13, 65, 9, 60], 'representative': 26075464, 'size': 15500}
  • id: 177413814
    {'aut_label': '63A4', 'centralizer': '15500.a1.a1', 'counter': 59, 'group_counter': 1, 'group_order': 976500, 'label': '63A20', 'order': 63, 'powers': [61, 12, 63, 10, 53], 'representative': 7515342, 'size': 15500}
  • id: 177413816
    {'aut_label': '63A16', 'centralizer': '15500.a1.a1', 'counter': 60, 'group_counter': 1, 'group_order': 976500, 'label': '63A22', 'order': 63, 'powers': [58, 12, 56, 11, 54], 'representative': 145833117, 'size': 15500}
  • id: 177413817
    {'aut_label': '63A8', 'centralizer': '15500.a1.a1', 'counter': 61, 'group_counter': 1, 'group_order': 976500, 'label': '63A23', 'order': 63, 'powers': [57, 13, 54, 11, 59], 'representative': 147745374, 'size': 15500}
  • id: 177413818
    {'aut_label': '63A1', 'centralizer': '15500.a1.a1', 'counter': 62, 'group_counter': 1, 'group_order': 976500, 'label': '63A25', 'order': 63, 'powers': [55, 14, 48, 10, 58], 'representative': 64099213, 'size': 15500}
  • id: 177413819
    {'aut_label': '63A4', 'centralizer': '15500.a1.a1', 'counter': 63, 'group_counter': 1, 'group_order': 976500, 'label': '63A26', 'order': 63, 'powers': [54, 15, 50, 9, 55], 'representative': 198010138, 'size': 15500}
  • id: 177413820
    {'aut_label': '63A19', 'centralizer': '15500.a1.a1', 'counter': 64, 'group_counter': 1, 'group_order': 976500, 'label': '63A29', 'order': 63, 'powers': [51, 16, 58, 10, 57], 'representative': 84537456, 'size': 15500}
  • id: 177413821
    {'aut_label': '63A19', 'centralizer': '15500.a1.a1', 'counter': 65, 'group_counter': 1, 'group_order': 976500, 'label': '63A31', 'order': 63, 'powers': [48, 17, 64, 11, 56], 'representative': 63861536, 'size': 15500}
• 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: 18631627
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '976500.a', 'group_order': 976500, 'image': None, 'label': '976500.a.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], 'schur_index': 1}
  • id: 18631630
    {'cdim': 124, 'counter': 3, 'faithful': True, 'group': '976500.a', 'group_order': 976500, 'image': None, 'label': '976500.a.124a', 'multiplicity': 1, 'nt': [7750, 0], 'qdim': 124, 'qvalues': [124, 0, -2, -1, -1, -2, -2, -2, 1, 1, 1, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 18631635
    {'cdim': 125, 'counter': 8, 'faithful': True, 'group': '976500.a', 'group_order': 976500, 'image': None, 'label': '976500.a.125a', 'multiplicity': 1, 'nt': [126, 0], 'qdim': 125, 'qvalues': [125, 1, -1, 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], 'schur_index': 1}
  • id: 18631629
    {'cdim': 63, 'counter': 2, 'faithful': True, 'group': '976500.a', 'group_order': 976500, 'image': None, 'label': '976500.a.63a', 'multiplicity': 2, 'nt': [252, 0], 'qdim': 126, 'qvalues': [126, -2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18631631
    {'cdim': 124, 'counter': 4, 'faithful': True, 'group': '976500.a', 'group_order': 976500, 'image': None, 'label': '976500.a.124b', 'multiplicity': 3, 'nt': [7750, 0], 'qdim': 372, 'qvalues': [372, 0, -6, -3, -3, 1, 1, 1, -6, -6, -6, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 18631632
    {'cdim': 124, 'counter': 5, 'faithful': True, 'group': '976500.a', 'group_order': 976500, 'image': None, 'label': '976500.a.124c', 'multiplicity': 3, 'nt': [7750, 0], 'qdim': 372, 'qvalues': [372, 0, 3, -3, -3, -6, -6, -6, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18631633
    {'cdim': 124, 'counter': 6, 'faithful': True, 'group': '976500.a', 'group_order': 976500, 'image': None, 'label': '976500.a.124d', 'multiplicity': 6, 'nt': [7750, 0], 'qdim': 744, 'qvalues': [744, 0, -12, -6, -6, 2, 2, 2, 6, 6, 6, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 18631636
    {'cdim': 126, 'counter': 9, 'faithful': True, 'group': '976500.a', 'group_order': 976500, 'image': None, 'label': '976500.a.126a', 'multiplicity': 15, 'nt': [3906, 0], 'qdim': 1890, 'qvalues': [1890, 30, 0, 15, 15, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18631628
    {'cdim': 126, 'counter': 10, 'faithful': True, 'group': '976500.a', 'group_order': 976500, 'image': None, 'label': '976500.a.126b', 'multiplicity': 15, 'nt': [7812, 0], 'qdim': 1890, 'qvalues': [1890, -30, 0, 15, 15, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18631634
    {'cdim': 124, 'counter': 7, 'faithful': True, 'group': '976500.a', 'group_order': 976500, 'image': None, 'label': '976500.a.124e', 'multiplicity': 18, 'nt': [7750, 0], 'qdim': 2232, 'qvalues': [2232, 0, 18, -18, -18, 6, 6, 6, 0, 0, 0, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 39898777
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 976500, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 976500, 'label': '976500.a.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]]]}
  • id: 39898788
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 2, 'cyclotomic_n': 5, 'dim': 63, 'faithful': True, 'field': [-1, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.63a1', 'nt': [252, 0], 'q_character': None, 'values': [[[63, 0]], [[-1, 0]], [[0, 0]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898799
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 3, 'cyclotomic_n': 5, 'dim': 63, 'faithful': True, 'field': [-1, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.63a2', 'nt': [252, 0], 'q_character': None, 'values': [[[63, 0]], [[-1, 0]], [[0, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898810
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 4, 'cyclotomic_n': 1, 'dim': 124, 'faithful': True, 'field': [0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124a', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 39898821
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 5, 'cyclotomic_n': 7, 'dim': 124, 'faithful': True, 'field': [1, -2, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124b1', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 39898832
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 6, 'cyclotomic_n': 7, 'dim': 124, 'faithful': True, 'field': [1, -2, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124b2', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 39898839
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 7, 'cyclotomic_n': 7, 'dim': 124, 'faithful': True, 'field': [1, -2, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124b3', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 39898840
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 8, 'cyclotomic_n': 9, 'dim': 124, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124c1', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]]]}
  • id: 39898841
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 9, 'cyclotomic_n': 9, 'dim': 124, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124c2', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]]]}
  • id: 39898778
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 10, 'cyclotomic_n': 9, 'dim': 124, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124c3', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]]]}
  • id: 39898779
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 11, 'cyclotomic_n': 21, 'dim': 124, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124d1', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 39898780
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 12, 'cyclotomic_n': 21, 'dim': 124, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124d2', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]]]}
  • id: 39898781
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 13, 'cyclotomic_n': 21, 'dim': 124, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124d3', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]]]}
  • id: 39898782
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 14, 'cyclotomic_n': 21, 'dim': 124, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124d4', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]]]}
  • id: 39898783
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 15, 'cyclotomic_n': 21, 'dim': 124, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124d5', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]]]}
  • id: 39898784
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 16, 'cyclotomic_n': 21, 'dim': 124, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124d6', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]]]}
  • id: 39898785
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 17, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e1', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 22], [-1, -22]], [[-1, 23], [-1, -23]], [[-1, 25], [-1, -25]], [[-1, 26], [-1, -26]], [[-1, 29], [-1, -29]], [[-1, 31], [-1, -31]]]}
  • id: 39898795
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 26, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e10', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 30], [-1, -30]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[-1, 31], [-1, -31]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[-1, 2], [-1, -2]], [[-1, 29], [-1, -29]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[-1, 25], [-1, -25]], [[-1, 23], [-1, -23]], [[-1, 8], [-1, -8]]]}
  • id: 39898796
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 27, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e11', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[-1, 15], [-1, -15]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[-1, 29], [-1, -29]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 22], [-1, -22]], [[-1, 1], [-1, -1]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 19], [-1, -19]], [[-1, 2], [-1, -2]], [[-1, 25], [-1, -25]], [[-1, 8], [-1, -8]], [[-1, 31], [-1, -31]], [[-1, 26], [-1, -26]], [[-1, 20], [-1, -20]]]}
  • id: 39898797
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 28, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e12', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 15], [-1, -15]], [[-1, 30], [-1, -30]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 25], [-1, -25]], [[-1, 23], [-1, -23]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 17], [-1, -17]], [[-1, 22], [-1, -22]], [[-1, 31], [-1, -31]], [[-1, 26], [-1, -26]], [[-1, 16], [-1, -16]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 19], [-1, -19]], [[-1, 29], [-1, -29]]]}
  • id: 39898798
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 29, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e13', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 17], [-1, -17]], [[-1, 29], [-1, -29]], [[-1, 5], [-1, -5]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 19], [-1, -19]], [[-1, 2], [-1, -2]], [[-1, 31], [-1, -31]], [[-1, 20], [-1, -20]], [[-1, 26], [-1, -26]], [[-1, 8], [-1, -8]], [[-1, 25], [-1, -25]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 23], [-1, -23]]]}
  • id: 39898800
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 30, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e14', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 30], [-1, -30]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 23], [-1, -23]], [[-1, 13], [-1, -13]], [[-1, 17], [-1, -17]], [[-1, 26], [-1, -26]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 29], [-1, -29]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 31], [-1, -31]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, -5]]]}
  • id: 39898801
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 31, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e15', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 25], [-1, -25]], [[-1, 13], [-1, -13]], [[-1, 26], [-1, -26]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 23], [-1, -23]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[-1, 16], [-1, -16]], [[-1, 29], [-1, -29]], [[-1, 4], [-1, -4]], [[-1, 17], [-1, -17]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 20], [-1, -20]], [[-1, 31], [-1, -31]], [[-1, 19], [-1, -19]]]}
  • id: 39898802
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 32, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e16', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 30], [-1, -30]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 11], [-1, -11]], [[-1, 22], [-1, -22]], [[-1, 19], [-1, -19]], [[-1, 8], [-1, -8]], [[-1, 25], [-1, -25]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 20], [-1, -20]], [[-1, 31], [-1, -31]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[-1, 29], [-1, -29]], [[-1, 4], [-1, -4]], [[-1, 26], [-1, -26]]]}
  • id: 39898803
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 33, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e17', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 20], [-1, -20]], [[-1, 31], [-1, -31]], [[-1, 23], [-1, -23]], [[-1, 19], [-1, -19]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 17], [-1, -17]], [[-1, 25], [-1, -25]], [[-1, 29], [-1, -29]], [[-1, 26], [-1, -26]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]]]}
  • id: 39898804
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 34, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e18', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, -30]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 31], [-1, -31]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 29], [-1, -29]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 26], [-1, -26]], [[-1, 25], [-1, -25]], [[-1, 8], [-1, -8]], [[-1, 23], [-1, -23]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 20], [-1, -20]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[-1, 17], [-1, -17]], [[-1, 16], [-1, -16]]]}
  • id: 39898786
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 18, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e2', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 24], [-1, -24]], [[-1, 15], [-1, -15]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 31], [-1, -31]], [[-1, 23], [-1, -23]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[-1, 25], [-1, -25]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, -26]], [[-1, 29], [-1, -29]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]]]}
  • id: 39898787
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 19, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e3', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 20], [-1, -20]], [[-1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[-1, 26], [-1, -26]], [[-1, 29], [-1, -29]], [[-1, 11], [-1, -11]], [[-1, 31], [-1, -31]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 25], [-1, -25]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 1], [-1, -1]], [[-1, 19], [-1, -19]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 10], [-1, -10]]]}
  • id: 39898789
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 20, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e4', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 24], [-1, -24]], [[-1, 15], [-1, -15]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 29], [-1, -29]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 25], [-1, -25]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[-1, 11], [-1, -11]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 26], [-1, -26]], [[-1, 31], [-1, -31]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 17], [-1, -17]]]}
  • id: 39898790
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 21, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e5', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 22], [-1, -22]], [[-1, 19], [-1, -19]], [[-1, 25], [-1, -25]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 31], [-1, -31]], [[-1, 10], [-1, -10]], [[-1, 29], [-1, -29]], [[-1, 26], [-1, -26]], [[-1, 4], [-1, -4]], [[-1, 23], [-1, -23]], [[-1, 1], [-1, -1]], [[-1, 20], [-1, -20]], [[-1, 2], [-1, -2]], [[-1, 17], [-1, -17]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]]]}
  • id: 39898791
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 22, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e6', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 24], [-1, -24]], [[-1, 15], [-1, -15]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 26], [-1, -26]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 4], [-1, -4]], [[-1, 17], [-1, -17]], [[-1, 20], [-1, -20]], [[-1, 19], [-1, -19]], [[-1, 31], [-1, -31]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 29], [-1, -29]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 23], [-1, -23]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, -25]]]}
  • id: 39898792
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 23, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e7', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[-1, 15], [-1, -15]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 19], [-1, -19]], [[-1, 25], [-1, -25]], [[-1, 13], [-1, -13]], [[-1, 31], [-1, -31]], [[-1, 26], [-1, -26]], [[-1, 1], [-1, -1]], [[-1, 20], [-1, -20]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 17], [-1, -17]], [[-1, 2], [-1, -2]], [[-1, 23], [-1, -23]], [[-1, 4], [-1, -4]], [[-1, 29], [-1, -29]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 22], [-1, -22]]]}
  • id: 39898793
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 24, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e8', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 15], [-1, -15]], [[-1, 30], [-1, -30]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 26], [-1, -26]], [[-1, 11], [-1, -11]], [[-1, 22], [-1, -22]], [[-1, 4], [-1, -4]], [[-1, 19], [-1, -19]], [[-1, 8], [-1, -8]], [[-1, 29], [-1, -29]], [[-1, 23], [-1, -23]], [[-1, 25], [-1, -25]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 31], [-1, -31]], [[-1, 20], [-1, -20]], [[-1, 17], [-1, -17]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]]]}
  • id: 39898794
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 25, 'cyclotomic_n': 63, 'dim': 124, 'faithful': True, 'field': [1, 24, 72, -170, -534, 405, 1385, -459, -1782, 276, 1287, -90, -546, 15, 135, -1, -18, 0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.124e9', 'nt': [7750, 0], 'q_character': None, 'values': [[[124, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[-1, 15], [-1, -15]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 20], [-1, -20]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, -26]], [[-1, 31], [-1, -31]], [[-1, 29], [-1, -29]], [[-1, 25], [-1, -25]], [[-1, 23], [-1, -23]], [[-1, 19], [-1, -19]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 39898805
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 35, 'cyclotomic_n': 1, 'dim': 125, 'faithful': True, 'field': [0, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.125a', 'nt': [126, 0], 'q_character': None, 'values': [[[125, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39898806
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 36, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a1', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898816
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 45, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a10', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898817
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 46, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a11', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898818
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 47, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a12', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898819
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 48, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a13', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[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]]]}
  • id: 39898820
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 49, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a14', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[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]]]}
  • id: 39898822
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 50, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a15', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[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]]]}
  • id: 39898807
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 37, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a2', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898808
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 38, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a3', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898809
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 39, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a4', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898811
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 40, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a5', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898812
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 41, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a6', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898813
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 42, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a7', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898814
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 43, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a8', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898815
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 44, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126a9', 'nt': [3906, 0], 'q_character': None, 'values': [[[126, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898823
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 51, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b1', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898833
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 60, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b10', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898834
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 61, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b11', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898835
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 62, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b12', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898836
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 63, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b13', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-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]]]}
  • id: 39898837
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 64, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b14', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-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]]]}
  • id: 39898838
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 65, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b15', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[-1, 12], [-1, -12]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-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]]]}
  • id: 39898824
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 52, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b2', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 12], [-1, -12]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 14], [-1, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898825
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 53, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b3', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, -14]], [[-1, 1], [-1, -1]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898826
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 54, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b4', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 12], [-1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898827
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 55, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b5', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898828
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 56, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b6', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898829
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 57, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b7', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898830
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 58, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b8', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39898831
    {'center': '976500.a1.a1', 'center_index': 976500, 'center_order': 1, 'counter': 59, 'cyclotomic_n': 31, 'dim': 126, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '976500.a', 'group_counter': 1, 'group_order': 976500, 'image': None, 'image_isoclass': '976500.a', 'image_order': 976500, 'indicator': 1, 'kernel': '976500.a1.a1', 'kernel_order': 1, 'label': '976500.a.126b9', 'nt': [7812, 0], 'q_character': None, 'values': [[[126, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• 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: 275328685
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 976500, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6510, 'label': '976500.a.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': True, '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': True, 'solvable': False, 'special_labels': ['D', 'S', 'PC', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '976500.a', 'subgroup_hash': 5862088591278379210, 'subgroup_order': 976500, 'subgroup_tex': '\\PSL(2,125)', 'supersolvable': False, 'sylow': 0}
  • id: 275328696
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.126.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126.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': 126, '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': '7750.b', 'subgroup_hash': 1935561172671603645, 'subgroup_order': 7750, 'subgroup_tex': 'C_5^3:C_{62}', 'supersolvable': False, 'sylow': 0}
  • id: 275328707
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 155, 'label': '976500.a.252.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.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': 252, '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': '3875.16', 'subgroup_hash': 16, 'subgroup_order': 3875, 'subgroup_tex': 'C_5^3:C_{31}', 'supersolvable': False, 'sylow': 0}
  • id: 275328708
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.3906.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3906.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': 3906, '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': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275328709
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.7750.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7750.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': 7750, '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': '126.5', 'subgroup_hash': 5, 'subgroup_order': 126, 'subgroup_tex': 'D_{63}', 'supersolvable': True, 'sylow': 0}
  • id: 275328710
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 125, 'characteristic': False, 'core_order': 1, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '976500.a.7812.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7812.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': 7812, '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': '125.5', 'subgroup_hash': 5, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 5}
  • id: 275328711
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 62, 'label': '976500.a.7875.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7875.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': 7875, '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': '124.3', 'subgroup_hash': 3, 'subgroup_order': 124, 'subgroup_tex': 'D_{62}', 'supersolvable': True, 'sylow': 0}
  • id: 275328712
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 63, 'characteristic': False, 'core_order': 1, 'counter': 8, 'cyclic': True, 'direct': None, 'hall': 21, 'label': '976500.a.15500.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15500.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': 15500, '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': '63.2', 'subgroup_hash': 2, 'subgroup_order': 63, 'subgroup_tex': 'C_{63}', 'supersolvable': True, 'sylow': 0}
  • id: 275328713
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 62, 'characteristic': False, 'core_order': 1, 'counter': 9, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '976500.a.15750.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15750.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': 15750, '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': '62.2', 'subgroup_hash': 2, 'subgroup_order': 62, 'subgroup_tex': 'C_{62}', 'supersolvable': True, 'sylow': 0}
  • id: 275328686
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.15750.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15750.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': 15750, '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': '62.1', 'subgroup_hash': 1, 'subgroup_order': 62, 'subgroup_tex': 'D_{31}', 'supersolvable': True, 'sylow': 0}
  • id: 275328687
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.15750.b1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15750.b1.a2', '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': 15750, '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': '62.1', 'subgroup_hash': 1, 'subgroup_order': 62, 'subgroup_tex': 'D_{31}', 'supersolvable': True, 'sylow': 0}
  • id: 275328688
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.16275.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16275.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16275, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.5', 'subgroup_hash': 5, 'subgroup_order': 60, 'subgroup_tex': 'A_5', 'supersolvable': False, 'sylow': 0}
  • id: 275328689
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.19530.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19530.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': 19530, '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': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 275328690
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.23250.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23250.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': 23250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.5', 'subgroup_hash': 5, 'subgroup_order': 42, 'subgroup_tex': 'D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 275328691
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 62, 'characteristic': False, 'core_order': 1, 'counter': 15, 'cyclic': True, 'direct': None, 'hall': 31, 'label': '976500.a.31500.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '31500.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': 31500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31.1', 'subgroup_hash': 1, 'subgroup_order': 31, 'subgroup_tex': 'C_{31}', 'supersolvable': True, 'sylow': 31}
  • id: 275328692
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 125, 'characteristic': False, 'core_order': 1, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.39060.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '39060.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': 39060, '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': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 275328693
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 63, 'characteristic': False, 'core_order': 1, 'counter': 17, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '976500.a.46500.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '46500.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': 46500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': 2, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 275328694
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.54250.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54250.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': 54250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 275328695
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.69750.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '69750.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': 69750, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 275328697
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.81375.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '81375.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': 81375, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275328698
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.97650.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '97650.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': 97650, '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': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 275328699
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 63, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '976500.a.108500.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108500.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': 108500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 3}
  • id: 275328700
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 63, 'characteristic': False, 'core_order': 1, 'counter': 23, 'cyclic': True, 'direct': None, 'hall': 7, 'label': '976500.a.139500.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '139500.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': 139500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 275328701
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '976500.a.162750.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '162750.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': 162750, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 275328702
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 125, 'characteristic': False, 'core_order': 1, 'counter': 25, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '976500.a.195300.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '195300.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': 195300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 275328703
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '976500.a.244125.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '244125.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': 244125, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 2}
  • id: 275328704
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 63, 'characteristic': False, 'core_order': 1, 'counter': 27, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '976500.a.325500.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '325500.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': 325500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 275328705
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': False, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 1, 'counter': 28, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '976500.a.488250.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '488250.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': 488250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275328706
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '976500.a', 'ambient_counter': 1, 'ambient_order': 976500, 'ambient_tex': '\\PSL(2,125)', 'central': True, 'central_factor': False, 'centralizer_order': 976500, 'characteristic': True, 'core_order': 1, 'counter': 29, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '976500.a.976500.a1.a1', 'maximal': False, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '976500.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '976500.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5862088591278379210, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 976500, 'quotient_simple': True, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': '\\PSL(2,125)', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'Phi', 'R', 'U0', 'C1'], '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: 275328685
    {'ambient': '976500.a', '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': '976500.a1.a1', 'complements': ['976500.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['126.a1.a1', '7750.a1.a1', '7875.a1.a1', '16275.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5268, 5000, 5473, 5000, 4873, 5000, 5096, 5000], 'generators': [219923918, 1348504], 'label': '976500.a.1.a1.a1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['976500.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '976500.a', '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': '976500.a'}
  • id: 275328686
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '15750.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '488250.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7875.a1.a1'], 'contains': ['31500.a1.a1', '488250.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7875, 'diagramx': [7173, -1, 3625, -1, 5299, -1, 4814, -1], 'generators': [219923918, 67236613], 'label': '976500.a.15750.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7875.a1.a1', 'old_label': '15750.b1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15750.b1.a1', 'subgroup_fusion': None, 'weyl_group': '62.1'}
  • id: 275328687
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '15750.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '488250.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7875.a1.a1'], 'contains': ['31500.a1.a1', '488250.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7875, 'diagramx': [7173, -1, 4559, -1, 5299, -1, 3811, -1], 'generators': [6609377, 67236613], 'label': '976500.a.15750.b1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7875.a1.a1', 'old_label': '15750.b1.a2', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15750.b1.a2', 'subgroup_fusion': None, 'weyl_group': '62.1'}
  • id: 275328688
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '16275.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['81375.a1.a1', '97650.a1.a1', '162750.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 16275, 'diagramx': [4470, -1, 5703, -1, 4389, -1, 5648, -1], 'generators': [140923707, 86167111], 'label': '976500.a.16275.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16275.a1.a1', 'old_label': '16275.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16275.a1.a1', 'subgroup_fusion': None, 'weyl_group': '60.5'}
  • id: 275328689
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '19530.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3906.a1.a1'], 'contains': ['39060.a1.a1', '97650.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 19530, 'diagramx': [8854, -1, 1349, -1, 9574, -1, 1962, -1], 'generators': [32826387, 180804561, 6593752], 'label': '976500.a.19530.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19530.a1.a1', 'old_label': '19530.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19530.a1.a1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 275328690
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '23250.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7750.a1.a1'], 'contains': ['46500.a1.a1', '69750.a1.a1', '162750.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 23250, 'diagramx': [2441, -1, 7812, -1, 1740, -1, 7971, -1], 'generators': [213387957, 3937503, 104169655], 'label': '976500.a.23250.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '23250.a1.a1', 'old_label': '23250.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23250.a1.a1', 'subgroup_fusion': None, 'weyl_group': '42.5'}
  • id: 275328691
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '31500.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '15750.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.a1.a1', '15750.a1.a1', '15750.b1.a1', '15750.b1.a2'], 'contains': ['976500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7875, 'diagramx': [7546, -1, 2429, -1, 5806, -1, 3811, -1], 'generators': [202296994], 'label': '976500.a.31500.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7875.a1.a1', 'old_label': '31500.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31500.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275328692
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '39060.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7812.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7812.a1.a1', '19530.a1.a1'], 'contains': ['195300.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 3906, 'diagramx': [8916, -1, 1232, -1, 8571, -1, 1037, -1], 'generators': [32826387, 180804561], 'label': '976500.a.39060.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3906.a1.a1', 'old_label': '39060.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39060.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275328693
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '46500.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '15500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['15500.a1.a1', '23250.a1.a1'], 'contains': ['139500.a1.a1', '325500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7750, 'diagramx': [1643, -1, 9302, -1, 403, -1, 9605, -1], 'generators': [213387957, 104169655], 'label': '976500.a.46500.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7750.a1.a1', 'old_label': '46500.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46500.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275328694
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '54250.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7750.a1.a1'], 'contains': ['108500.a1.a1', '162750.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 54250, 'diagramx': [809, -1, 8536, -1, 2673, -1, 7058, -1], 'generators': [3937503, 67976974, 137051834], 'label': '976500.a.54250.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54250.a1.a1', 'old_label': '54250.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54250.a1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 275328695
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '69750.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['23250.a1.a1'], 'contains': ['139500.a1.a1', '488250.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 69750, 'diagramx': [3126, -1, 7172, -1, 1325, -1, 7892, -1], 'generators': [213387957, 3937503], 'label': '976500.a.69750.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '69750.a1.a1', 'old_label': '69750.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '69750.a1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 275328696
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '126.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['252.a1.a1', '3906.a1.a1', '15750.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [7384, -1, 2230, -1, 7200, -1, 2627, -1], 'generators': [27980970, 141206683], 'label': '976500.a.126.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1.a1', 'old_label': '126.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.a1.a1', 'subgroup_fusion': None, 'weyl_group': '7750.b'}
  • id: 275328697
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '81375.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16275.a1.a1'], 'contains': ['244125.a1.a1', '325500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 81375, 'diagramx': [4545, -1, 6333, -1, 4309, -1, 5784, -1], 'generators': [48283131, 15222273, 140923707], 'label': '976500.a.81375.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '81375.a1.a1', 'old_label': '81375.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81375.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 275328698
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '97650.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16275.a1.a1', '19530.a1.a1'], 'contains': ['195300.a1.a1', '488250.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 97650, 'diagramx': [6463, -1, 3562, -1, 7246, -1, 1905, -1], 'generators': [180804561, 6593752], 'label': '976500.a.97650.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '97650.a1.a1', 'old_label': '97650.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '97650.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 275328699
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '108500.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '15500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['15500.a1.a1', '54250.a1.a1'], 'contains': ['325500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7750, 'diagramx': [336, -1, 9501, -1, 2154, -1, 8704, -1], 'generators': [67976974, 137051834], 'label': '976500.a.108500.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7750.a1.a1', 'old_label': '108500.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108500.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275328700
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '139500.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '15500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['46500.a1.a1', '69750.a1.a1'], 'contains': ['976500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7750, 'diagramx': [2229, -1, 8327, -1, 1325, -1, 7892, -1], 'generators': [213387957], 'label': '976500.a.139500.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7750.a1.a1', 'old_label': '139500.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '139500.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275328701
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '162750.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16275.a1.a1', '23250.a1.a1', '54250.a1.a1'], 'contains': ['325500.a1.a1', '488250.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 162750, 'diagramx': [3051, -1, 7749, -1, 2984, -1, 7080, -1], 'generators': [3937503, 137051834], 'label': '976500.a.162750.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162750.a1.a1', 'old_label': '162750.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162750.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275328702
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '195300.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7812.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['39060.a1.a1', '97650.a1.a1'], 'contains': ['976500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 3906, 'diagramx': [7384, -1, 2786, -1, 7246, -1, 1905, -1], 'generators': [180804561], 'label': '976500.a.195300.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3906.a1.a1', 'old_label': '195300.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '195300.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275328703
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '244125.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '244125.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7875.a1.a1', '81375.a1.a1'], 'contains': ['488250.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 81375, 'diagramx': [5006, -1, 5356, -1, 4309, -1, 5784, -1], 'generators': [6609377, 19428896], 'label': '976500.a.244125.a1.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '81375.a1.a1', 'old_label': '244125.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '244125.a1.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 275328704
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '325500.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '15500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['46500.a1.a1', '81375.a1.a1', '108500.a1.a1', '162750.a1.a1'], 'contains': ['976500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7750, 'diagramx': [1681, -1, 8726, -1, 2984, -1, 7080, -1], 'generators': [137051834], 'label': '976500.a.325500.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7750.a1.a1', 'old_label': '325500.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325500.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275328705
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '488250.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7875.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['15750.a1.a1', '15750.b1.a1', '15750.b1.a2', '69750.a1.a1', '97650.a1.a1', '162750.a1.a1', '244125.a1.a1'], 'contains': ['976500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7875, 'diagramx': [5454, -1, 4559, -1, 4597, -1, 4814, -1], 'generators': [219923918], 'label': '976500.a.488250.a1.a1', 'mobius_quo': None, 'mobius_sub': -62, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7875.a1.a1', 'old_label': '488250.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '488250.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275328706
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '976500.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': ['31500.a1.a1', '139500.a1.a1', '195300.a1.a1', '325500.a1.a1', '488250.a1.a1'], 'contains': [], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5454, 5000, 4559, 5000, 4597, 5000, 4814, 5000], 'generators': [], 'label': '976500.a.976500.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '976500.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '976500.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '976500.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275328707
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '252.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.a1.a1'], 'contains': ['7812.a1.a1', '31500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [7969, -1, 1758, -1, 7822, -1, 688, -1], 'generators': [202296994, 179465561, 32826387, 180804561], 'label': '976500.a.252.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1.a1', 'old_label': '252.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.a1.a1', 'subgroup_fusion': None, 'weyl_group': '7750.b'}
  • id: 275328708
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '3906.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.a1.a1'], 'contains': ['7812.a1.a1', '19530.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [9389, -1, 499, -1, 9285, -1, 2120, -1], 'generators': [179465561, 32826387, 180804561, 6593752], 'label': '976500.a.3906.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1.a1', 'old_label': '3906.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3906.a1.a1', 'subgroup_fusion': None, 'weyl_group': '7750.b'}
  • id: 275328709
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '7750.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '976500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['15500.a1.a1', '23250.a1.a1', '54250.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7750, 'diagramx': [1968, -1, 8179, -1, 2212, -1, 7509, -1], 'generators': [219923918, 100051704], 'label': '976500.a.7750.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7750.a1.a1', 'old_label': '7750.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7750.a1.a1', 'subgroup_fusion': None, 'weyl_group': '126.5'}
  • id: 275328710
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '7812.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7812.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.a1.a1', '3906.a1.a1'], 'contains': ['39060.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [9664, -1, 666, -1, 8571, -1, 981, -1], 'generators': [179465561, 32826387, 180804561], 'label': '976500.a.7812.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1.a1', 'old_label': '7812.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7812.a1.a1', 'subgroup_fusion': None, 'weyl_group': '62.2'}
  • id: 275328711
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '7875.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '488250.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['15750.a1.a1', '15750.b1.a1', '15750.b1.a2', '244125.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7875, 'diagramx': [5641, -1, 4559, -1, 5265, -1, 4814, -1], 'generators': [219923918, 192492307], 'label': '976500.a.7875.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7875.a1.a1', 'old_label': '7875.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7875.a1.a1', 'subgroup_fusion': None, 'weyl_group': '62.1'}
  • id: 275328712
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '15500.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '15500.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7750.a1.a1'], 'contains': ['46500.a1.a1', '108500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7750, 'diagramx': [859, -1, 9334, -1, 714, -1, 8975, -1], 'generators': [231694796, 213387957, 104169655], 'label': '976500.a.15500.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7750.a1.a1', 'old_label': '15500.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15500.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275328713
    {'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '15750.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '15750.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.a1.a1', '7875.a1.a1'], 'contains': ['31500.a1.a1', '488250.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7875, 'diagramx': [6064, -1, 2692, -1, 6325, -1, 2807, -1], 'generators': [202296994, 160093772], 'label': '976500.a.15750.a1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7875.a1.a1', 'old_label': '15750.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15750.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}