Abstract group data - 880.12

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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': '80.23', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [2, 2, 10, 44], 'aut_gens': [[1, 40], [11, 840], [11, 40], [11, 620], [221, 60]], 'aut_group': '1760.1090', 'aut_hash': 1090, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1760, 'aut_permdeg': 99, 'aut_perms': [552185673244567341191716862259028208040451664108483999835886986994756250449017567853738214991300124371773112698661918964697107372559426067555586202351490599, 36706330836223530361313000172458097987314494641398762864750366641858248815737908977513065645343137341006273257723867561388417292841182601260994396160000, 499662943939411954851348759092186524441027871042650542762352995685291269115028061467804833146914841210397130961268551023895775991857006289791770773299967916, 9701625148821525448351784333021210893098625598654241630590779902338930673493926269178312661642380843085480552192480261030121612169911648903509275927442800], 'aut_phi_ratio': 5.5, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [4, 1, 2, 2], [5, 11, 1, 4], [8, 11, 8, 1], [10, 11, 1, 4], [10, 11, 2, 4], [11, 10, 1, 1], [20, 11, 2, 8], [22, 10, 1, 1], [22, 10, 2, 1], [40, 11, 8, 4], [44, 10, 2, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_2\\times D_4\\times F_{11}', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '16.11', 'autcent_hash': 11, 'autcent_nilpotent': True, 'autcent_order': 16, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times D_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '110.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 110, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 3], [4, 1, 4], [5, 11, 4], [8, 11, 8], [10, 11, 12], [11, 10, 1], [20, 11, 16], [22, 10, 3], [40, 11, 32], [44, 10, 4]], 'center_label': '8.2', 'center_order': 8, 'central_product': True, 'central_quotient': '110.1', 'commutator_count': 1, 'commutator_label': '11.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '5.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 12, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['440.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 1, 2, 2], [5, 11, 4, 1], [8, 11, 4, 2], [10, 11, 4, 3], [11, 10, 1, 1], [20, 11, 8, 2], [22, 10, 1, 3], [40, 11, 16, 2], [44, 10, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 144, 'exponent': 440, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '220.7', 'hash': 12, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [10, 11], 'inner_gens': [[1, 680], [241, 40]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 110, 'inner_split': True, 'inner_tex': 'F_{11}', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 80], [10, 8]], 'label': '880.12', 'linC_count': 240, 'linC_degree': 11, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 4, 'linQ_dim': 14, 'linQ_dim_count': 2, 'linR_count': 20, 'linR_degree': 12, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C22:C40', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 35, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 88, 'number_divisions': 22, 'number_normal_subgroups': 30, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 44, 'number_subgroups': 184, 'old_label': None, 'order': 880, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 3], [4, 4], [5, 44], [8, 88], [10, 132], [11, 10], [20, 176], [22, 30], [40, 352], [44, 40]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[441, 840], [1, 860], [31, 40], [21, 840]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 6, 'outer_perms': [6, 289, 127, 126], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 8, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 2], [4, 6], [8, 2], [10, 4], [16, 2], [20, 2]], 'representations': {'PC': {'code': 773004582467191927954543077737963696919000309, 'gens': [1, 5], 'pres': [6, -2, -2, -2, -5, -2, -11, 12, 31, 50, 20404, 1810, 2716, 2272, 88, 17285, 4331, 6497, 1463]}, 'GLZN': {'d': 2, 'p': 33, 'gens': [456059, 35962, 826574, 359380, 36037, 48302]}, 'Perm': {'d': 21, 'gens': [122002108923755670, 1, 256851058042656000, 859248, 1270440, 2797904269515801600]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 40], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{22}:C_{40}', 'transitive_degree': 176, '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: 142028712
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 12, 'group_order': 880, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 142028723
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 12, 'group_order': 880, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 440, 'size': 1}
  • id: 142028734
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 12, 'group_order': 880, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 460, 'size': 1}
  • id: 142028745
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 12, 'group_order': 880, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 20, 'size': 1}
  • id: 142028756
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 12, 'group_order': 880, 'label': '4A1', 'order': 4, 'powers': [4, 5, 6], 'representative': 450, 'size': 1}
  • id: 142028767
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 12, 'group_order': 880, 'label': '4A-1', 'order': 4, 'powers': [4, 6, 5], 'representative': 470, 'size': 1}
  • id: 142028778
    {'aut_label': '4B1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 12, 'group_order': 880, 'label': '4B1', 'order': 4, 'powers': [4, 7, 8], 'representative': 10, 'size': 1}
  • id: 142028789
    {'aut_label': '4B1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 12, 'group_order': 880, 'label': '4B-1', 'order': 4, 'powers': [4, 8, 7], 'representative': 30, 'size': 1}
  • id: 142028799
    {'aut_label': '5A1', 'centralizer': '11.a1.a1', 'counter': 9, 'group_counter': 12, 'group_order': 880, 'label': '5A1', 'order': 5, 'powers': [11, 1, 9], 'representative': 656, 'size': 11}
  • id: 142028713
    {'aut_label': '5A-1', 'centralizer': '11.a1.a1', 'counter': 10, 'group_counter': 12, 'group_order': 880, 'label': '5A-1', 'order': 5, 'powers': [12, 1, 10], 'representative': 424, 'size': 11}
  • id: 142028714
    {'aut_label': '5A2', 'centralizer': '11.a1.a1', 'counter': 11, 'group_counter': 12, 'group_order': 880, 'label': '5A2', 'order': 5, 'powers': [10, 1, 11], 'representative': 352, 'size': 11}
  • id: 142028715
    {'aut_label': '5A-2', 'centralizer': '11.a1.a1', 'counter': 12, 'group_counter': 12, 'group_order': 880, 'label': '5A-2', 'order': 5, 'powers': [9, 1, 12], 'representative': 488, 'size': 11}
  • id: 142028716
    {'aut_label': '8A1', 'centralizer': '11.a1.a1', 'counter': 13, 'group_counter': 12, 'group_order': 880, 'label': '8A1', 'order': 8, 'powers': [7, 16, 15], 'representative': 5, 'size': 11}
  • id: 142028717
    {'aut_label': '8A1', 'centralizer': '11.a1.a1', 'counter': 14, 'group_counter': 12, 'group_order': 880, 'label': '8A-1', 'order': 8, 'powers': [8, 15, 16], 'representative': 35, 'size': 11}
  • id: 142028718
    {'aut_label': '8A1', 'centralizer': '11.a1.a1', 'counter': 15, 'group_counter': 12, 'group_order': 880, 'label': '8A3', 'order': 8, 'powers': [8, 14, 13], 'representative': 15, 'size': 11}
  • id: 142028719
    {'aut_label': '8A1', 'centralizer': '11.a1.a1', 'counter': 16, 'group_counter': 12, 'group_order': 880, 'label': '8A-3', 'order': 8, 'powers': [7, 13, 14], 'representative': 25, 'size': 11}
  • id: 142028720
    {'aut_label': '8A1', 'centralizer': '11.a1.a1', 'counter': 17, 'group_counter': 12, 'group_order': 880, 'label': '8B1', 'order': 8, 'powers': [7, 20, 19], 'representative': 605, 'size': 11}
  • id: 142028721
    {'aut_label': '8A1', 'centralizer': '11.a1.a1', 'counter': 18, 'group_counter': 12, 'group_order': 880, 'label': '8B-1', 'order': 8, 'powers': [8, 19, 20], 'representative': 635, 'size': 11}
  • id: 142028722
    {'aut_label': '8A1', 'centralizer': '11.a1.a1', 'counter': 19, 'group_counter': 12, 'group_order': 880, 'label': '8B3', 'order': 8, 'powers': [8, 18, 17], 'representative': 615, 'size': 11}
  • id: 142028724
    {'aut_label': '8A1', 'centralizer': '11.a1.a1', 'counter': 20, 'group_counter': 12, 'group_order': 880, 'label': '8B-3', 'order': 8, 'powers': [7, 17, 18], 'representative': 625, 'size': 11}
  • id: 142028725
    {'aut_label': '10A1', 'centralizer': '11.a1.a1', 'counter': 21, 'group_counter': 12, 'group_order': 880, 'label': '10A1', 'order': 10, 'powers': [9, 2, 21], 'representative': 48, 'size': 11}
  • id: 142028726
    {'aut_label': '10A-1', 'centralizer': '11.a1.a1', 'counter': 22, 'group_counter': 12, 'group_order': 880, 'label': '10A-1', 'order': 10, 'powers': [10, 2, 22], 'representative': 72, 'size': 11}
  • id: 142028727
    {'aut_label': '10A3', 'centralizer': '11.a1.a1', 'counter': 23, 'group_counter': 12, 'group_order': 880, 'label': '10A3', 'order': 10, 'powers': [12, 2, 23], 'representative': 64, 'size': 11}
  • id: 142028728
    {'aut_label': '10A-3', 'centralizer': '11.a1.a1', 'counter': 24, 'group_counter': 12, 'group_order': 880, 'label': '10A-3', 'order': 10, 'powers': [11, 2, 24], 'representative': 56, 'size': 11}
  • id: 142028729
    {'aut_label': '10A3', 'centralizer': '11.a1.a1', 'counter': 25, 'group_counter': 12, 'group_order': 880, 'label': '10B1', 'order': 10, 'powers': [12, 3, 25], 'representative': 44, 'size': 11}
  • id: 142028730
    {'aut_label': '10A-3', 'centralizer': '11.a1.a1', 'counter': 26, 'group_counter': 12, 'group_order': 880, 'label': '10B-1', 'order': 10, 'powers': [11, 3, 26], 'representative': 76, 'size': 11}
  • id: 142028731
    {'aut_label': '10A-1', 'centralizer': '11.a1.a1', 'counter': 27, 'group_counter': 12, 'group_order': 880, 'label': '10B3', 'order': 10, 'powers': [10, 3, 27], 'representative': 52, 'size': 11}
  • id: 142028732
    {'aut_label': '10A1', 'centralizer': '11.a1.a1', 'counter': 28, 'group_counter': 12, 'group_order': 880, 'label': '10B-3', 'order': 10, 'powers': [9, 3, 28], 'representative': 68, 'size': 11}
  • id: 142028733
    {'aut_label': '10C1', 'centralizer': '11.a1.a1', 'counter': 29, 'group_counter': 12, 'group_order': 880, 'label': '10C1', 'order': 10, 'powers': [12, 4, 29], 'representative': 164, 'size': 11}
  • id: 142028735
    {'aut_label': '10C-1', 'centralizer': '11.a1.a1', 'counter': 30, 'group_counter': 12, 'group_order': 880, 'label': '10C-1', 'order': 10, 'powers': [11, 4, 30], 'representative': 116, 'size': 11}
  • id: 142028736
    {'aut_label': '10C3', 'centralizer': '11.a1.a1', 'counter': 31, 'group_counter': 12, 'group_order': 880, 'label': '10C3', 'order': 10, 'powers': [10, 4, 31], 'representative': 492, 'size': 11}
  • id: 142028737
    {'aut_label': '10C-3', 'centralizer': '11.a1.a1', 'counter': 32, 'group_counter': 12, 'group_order': 880, 'label': '10C-3', 'order': 10, 'powers': [9, 4, 32], 'representative': 748, 'size': 11}
  • id: 142028738
    {'aut_label': '11A', 'centralizer': '10.a1.a1', 'counter': 33, 'group_counter': 12, 'group_order': 880, 'label': '11A', 'order': 11, 'powers': [33, 33, 1], 'representative': 80, 'size': 10}
  • id: 142028739
    {'aut_label': '20A1', 'centralizer': '11.a1.a1', 'counter': 34, 'group_counter': 12, 'group_order': 880, 'label': '20A1', 'order': 20, 'powers': [29, 5, 41], 'representative': 42, 'size': 11}
  • id: 142028740
    {'aut_label': '20A-1', 'centralizer': '11.a1.a1', 'counter': 35, 'group_counter': 12, 'group_order': 880, 'label': '20A-1', 'order': 20, 'powers': [30, 6, 40], 'representative': 78, 'size': 11}
  • id: 142028741
    {'aut_label': '20A3', 'centralizer': '11.a1.a1', 'counter': 36, 'group_counter': 12, 'group_order': 880, 'label': '20A3', 'order': 20, 'powers': [31, 6, 39], 'representative': 46, 'size': 11}
  • id: 142028742
    {'aut_label': '20A-3', 'centralizer': '11.a1.a1', 'counter': 37, 'group_counter': 12, 'group_order': 880, 'label': '20A-3', 'order': 20, 'powers': [32, 5, 38], 'representative': 74, 'size': 11}
  • id: 142028743
    {'aut_label': '20A-3', 'centralizer': '11.a1.a1', 'counter': 38, 'group_counter': 12, 'group_order': 880, 'label': '20A7', 'order': 20, 'powers': [32, 6, 37], 'representative': 54, 'size': 11}
  • id: 142028744
    {'aut_label': '20A3', 'centralizer': '11.a1.a1', 'counter': 39, 'group_counter': 12, 'group_order': 880, 'label': '20A-7', 'order': 20, 'powers': [31, 5, 36], 'representative': 66, 'size': 11}
  • id: 142028746
    {'aut_label': '20A-1', 'centralizer': '11.a1.a1', 'counter': 40, 'group_counter': 12, 'group_order': 880, 'label': '20A9', 'order': 20, 'powers': [30, 5, 35], 'representative': 58, 'size': 11}
  • id: 142028747
    {'aut_label': '20A1', 'centralizer': '11.a1.a1', 'counter': 41, 'group_counter': 12, 'group_order': 880, 'label': '20A-9', 'order': 20, 'powers': [29, 6, 34], 'representative': 62, 'size': 11}
  • id: 142028748
    {'aut_label': '20B1', 'centralizer': '11.a1.a1', 'counter': 42, 'group_counter': 12, 'group_order': 880, 'label': '20B1', 'order': 20, 'powers': [29, 7, 49], 'representative': 2, 'size': 11}
  • id: 142028749
    {'aut_label': '20B-1', 'centralizer': '11.a1.a1', 'counter': 43, 'group_counter': 12, 'group_order': 880, 'label': '20B-1', 'order': 20, 'powers': [30, 8, 48], 'representative': 38, 'size': 11}
  • id: 142028750
    {'aut_label': '20B3', 'centralizer': '11.a1.a1', 'counter': 44, 'group_counter': 12, 'group_order': 880, 'label': '20B3', 'order': 20, 'powers': [31, 8, 47], 'representative': 6, 'size': 11}
  • id: 142028751
    {'aut_label': '20B-3', 'centralizer': '11.a1.a1', 'counter': 45, 'group_counter': 12, 'group_order': 880, 'label': '20B-3', 'order': 20, 'powers': [32, 7, 46], 'representative': 34, 'size': 11}
  • id: 142028752
    {'aut_label': '20B-3', 'centralizer': '11.a1.a1', 'counter': 46, 'group_counter': 12, 'group_order': 880, 'label': '20B7', 'order': 20, 'powers': [32, 8, 45], 'representative': 14, 'size': 11}
  • id: 142028753
    {'aut_label': '20B3', 'centralizer': '11.a1.a1', 'counter': 47, 'group_counter': 12, 'group_order': 880, 'label': '20B-7', 'order': 20, 'powers': [31, 7, 44], 'representative': 26, 'size': 11}
  • id: 142028754
    {'aut_label': '20B-1', 'centralizer': '11.a1.a1', 'counter': 48, 'group_counter': 12, 'group_order': 880, 'label': '20B9', 'order': 20, 'powers': [30, 7, 43], 'representative': 18, 'size': 11}
  • id: 142028755
    {'aut_label': '20B1', 'centralizer': '11.a1.a1', 'counter': 49, 'group_counter': 12, 'group_order': 880, 'label': '20B-9', 'order': 20, 'powers': [29, 8, 42], 'representative': 22, 'size': 11}
  • id: 142028757
    {'aut_label': '22A', 'centralizer': '10.a1.a1', 'counter': 50, 'group_counter': 12, 'group_order': 880, 'label': '22A', 'order': 22, 'powers': [33, 50, 2], 'representative': 40, 'size': 10}
  • id: 142028758
    {'aut_label': '22A', 'centralizer': '10.a1.a1', 'counter': 51, 'group_counter': 12, 'group_order': 880, 'label': '22B', 'order': 22, 'powers': [33, 51, 3], 'representative': 60, 'size': 10}
  • id: 142028759
    {'aut_label': '22C', 'centralizer': '10.a1.a1', 'counter': 52, 'group_counter': 12, 'group_order': 880, 'label': '22C', 'order': 22, 'powers': [33, 52, 4], 'representative': 180, 'size': 10}
  • id: 142028760
    {'aut_label': '40A1', 'centralizer': '11.a1.a1', 'counter': 53, 'group_counter': 12, 'group_order': 880, 'label': '40A1', 'order': 40, 'powers': [42, 13, 61], 'representative': 1, 'size': 11}
  • id: 142028761
    {'aut_label': '40A-1', 'centralizer': '11.a1.a1', 'counter': 54, 'group_counter': 12, 'group_order': 880, 'label': '40A-1', 'order': 40, 'powers': [43, 14, 62], 'representative': 39, 'size': 11}
  • id: 142028762
    {'aut_label': '40A3', 'centralizer': '11.a1.a1', 'counter': 55, 'group_counter': 12, 'group_order': 880, 'label': '40A3', 'order': 40, 'powers': [44, 15, 58], 'representative': 3, 'size': 11}
  • id: 142028763
    {'aut_label': '40A-3', 'centralizer': '11.a1.a1', 'counter': 56, 'group_counter': 12, 'group_order': 880, 'label': '40A-3', 'order': 40, 'powers': [45, 16, 57], 'representative': 37, 'size': 11}
  • id: 142028764
    {'aut_label': '40A-3', 'centralizer': '11.a1.a1', 'counter': 57, 'group_counter': 12, 'group_order': 880, 'label': '40A7', 'order': 40, 'powers': [46, 14, 56], 'representative': 7, 'size': 11}
  • id: 142028765
    {'aut_label': '40A3', 'centralizer': '11.a1.a1', 'counter': 58, 'group_counter': 12, 'group_order': 880, 'label': '40A-7', 'order': 40, 'powers': [47, 13, 55], 'representative': 33, 'size': 11}
  • id: 142028766
    {'aut_label': '40A-1', 'centralizer': '11.a1.a1', 'counter': 59, 'group_counter': 12, 'group_order': 880, 'label': '40A9', 'order': 40, 'powers': [48, 13, 67], 'representative': 9, 'size': 11}
  • id: 142028768
    {'aut_label': '40A1', 'centralizer': '11.a1.a1', 'counter': 60, 'group_counter': 12, 'group_order': 880, 'label': '40A-9', 'order': 40, 'powers': [49, 14, 68], 'representative': 31, 'size': 11}
  • id: 142028769
    {'aut_label': '40A1', 'centralizer': '11.a1.a1', 'counter': 61, 'group_counter': 12, 'group_order': 880, 'label': '40A11', 'order': 40, 'powers': [49, 15, 53], 'representative': 11, 'size': 11}
  • id: 142028770
    {'aut_label': '40A-1', 'centralizer': '11.a1.a1', 'counter': 62, 'group_counter': 12, 'group_order': 880, 'label': '40A-11', 'order': 40, 'powers': [48, 16, 54], 'representative': 29, 'size': 11}
  • id: 142028771
    {'aut_label': '40A3', 'centralizer': '11.a1.a1', 'counter': 63, 'group_counter': 12, 'group_order': 880, 'label': '40A13', 'order': 40, 'powers': [47, 16, 66], 'representative': 13, 'size': 11}
  • id: 142028772
    {'aut_label': '40A-3', 'centralizer': '11.a1.a1', 'counter': 64, 'group_counter': 12, 'group_order': 880, 'label': '40A-13', 'order': 40, 'powers': [46, 15, 65], 'representative': 27, 'size': 11}
  • id: 142028773
    {'aut_label': '40A-3', 'centralizer': '11.a1.a1', 'counter': 65, 'group_counter': 12, 'group_order': 880, 'label': '40A17', 'order': 40, 'powers': [45, 13, 64], 'representative': 17, 'size': 11}
  • id: 142028774
    {'aut_label': '40A3', 'centralizer': '11.a1.a1', 'counter': 66, 'group_counter': 12, 'group_order': 880, 'label': '40A-17', 'order': 40, 'powers': [44, 14, 63], 'representative': 23, 'size': 11}
  • id: 142028775
    {'aut_label': '40A-1', 'centralizer': '11.a1.a1', 'counter': 67, 'group_counter': 12, 'group_order': 880, 'label': '40A19', 'order': 40, 'powers': [43, 15, 59], 'representative': 19, 'size': 11}
  • id: 142028776
    {'aut_label': '40A1', 'centralizer': '11.a1.a1', 'counter': 68, 'group_counter': 12, 'group_order': 880, 'label': '40A-19', 'order': 40, 'powers': [42, 16, 60], 'representative': 21, 'size': 11}
  • id: 142028777
    {'aut_label': '40A1', 'centralizer': '11.a1.a1', 'counter': 69, 'group_counter': 12, 'group_order': 880, 'label': '40B1', 'order': 40, 'powers': [42, 17, 77], 'representative': 41, 'size': 11}
  • id: 142028779
    {'aut_label': '40A-1', 'centralizer': '11.a1.a1', 'counter': 70, 'group_counter': 12, 'group_order': 880, 'label': '40B-1', 'order': 40, 'powers': [43, 18, 78], 'representative': 79, 'size': 11}
  • id: 142028780
    {'aut_label': '40A3', 'centralizer': '11.a1.a1', 'counter': 71, 'group_counter': 12, 'group_order': 880, 'label': '40B3', 'order': 40, 'powers': [44, 19, 74], 'representative': 43, 'size': 11}
  • id: 142028781
    {'aut_label': '40A-3', 'centralizer': '11.a1.a1', 'counter': 72, 'group_counter': 12, 'group_order': 880, 'label': '40B-3', 'order': 40, 'powers': [45, 20, 73], 'representative': 77, 'size': 11}
  • id: 142028782
    {'aut_label': '40A-3', 'centralizer': '11.a1.a1', 'counter': 73, 'group_counter': 12, 'group_order': 880, 'label': '40B7', 'order': 40, 'powers': [46, 18, 72], 'representative': 47, 'size': 11}
  • id: 142028783
    {'aut_label': '40A3', 'centralizer': '11.a1.a1', 'counter': 74, 'group_counter': 12, 'group_order': 880, 'label': '40B-7', 'order': 40, 'powers': [47, 17, 71], 'representative': 73, 'size': 11}
  • id: 142028784
    {'aut_label': '40A-1', 'centralizer': '11.a1.a1', 'counter': 75, 'group_counter': 12, 'group_order': 880, 'label': '40B9', 'order': 40, 'powers': [48, 17, 83], 'representative': 49, 'size': 11}
  • id: 142028785
    {'aut_label': '40A1', 'centralizer': '11.a1.a1', 'counter': 76, 'group_counter': 12, 'group_order': 880, 'label': '40B-9', 'order': 40, 'powers': [49, 18, 84], 'representative': 71, 'size': 11}
  • id: 142028786
    {'aut_label': '40A1', 'centralizer': '11.a1.a1', 'counter': 77, 'group_counter': 12, 'group_order': 880, 'label': '40B11', 'order': 40, 'powers': [49, 19, 69], 'representative': 51, 'size': 11}
  • id: 142028787
    {'aut_label': '40A-1', 'centralizer': '11.a1.a1', 'counter': 78, 'group_counter': 12, 'group_order': 880, 'label': '40B-11', 'order': 40, 'powers': [48, 20, 70], 'representative': 69, 'size': 11}
  • id: 142028788
    {'aut_label': '40A3', 'centralizer': '11.a1.a1', 'counter': 79, 'group_counter': 12, 'group_order': 880, 'label': '40B13', 'order': 40, 'powers': [47, 20, 82], 'representative': 53, 'size': 11}
  • id: 142028790
    {'aut_label': '40A-3', 'centralizer': '11.a1.a1', 'counter': 80, 'group_counter': 12, 'group_order': 880, 'label': '40B-13', 'order': 40, 'powers': [46, 19, 81], 'representative': 67, 'size': 11}
  • id: 142028791
    {'aut_label': '40A-3', 'centralizer': '11.a1.a1', 'counter': 81, 'group_counter': 12, 'group_order': 880, 'label': '40B17', 'order': 40, 'powers': [45, 17, 80], 'representative': 57, 'size': 11}
  • id: 142028792
    {'aut_label': '40A3', 'centralizer': '11.a1.a1', 'counter': 82, 'group_counter': 12, 'group_order': 880, 'label': '40B-17', 'order': 40, 'powers': [44, 18, 79], 'representative': 63, 'size': 11}
  • id: 142028793
    {'aut_label': '40A-1', 'centralizer': '11.a1.a1', 'counter': 83, 'group_counter': 12, 'group_order': 880, 'label': '40B19', 'order': 40, 'powers': [43, 19, 75], 'representative': 59, 'size': 11}
  • id: 142028794
    {'aut_label': '40A1', 'centralizer': '11.a1.a1', 'counter': 84, 'group_counter': 12, 'group_order': 880, 'label': '40B-19', 'order': 40, 'powers': [42, 20, 76], 'representative': 61, 'size': 11}
  • id: 142028795
    {'aut_label': '44A1', 'centralizer': '10.a1.a1', 'counter': 85, 'group_counter': 12, 'group_order': 880, 'label': '44A1', 'order': 44, 'powers': [52, 85, 8], 'representative': 90, 'size': 10}
  • id: 142028796
    {'aut_label': '44A1', 'centralizer': '10.a1.a1', 'counter': 86, 'group_counter': 12, 'group_order': 880, 'label': '44A-1', 'order': 44, 'powers': [52, 86, 7], 'representative': 110, 'size': 10}
  • id: 142028797
    {'aut_label': '44B1', 'centralizer': '10.a1.a1', 'counter': 87, 'group_counter': 12, 'group_order': 880, 'label': '44B1', 'order': 44, 'powers': [52, 87, 6], 'representative': 50, 'size': 10}
  • id: 142028798
    {'aut_label': '44B1', 'centralizer': '10.a1.a1', 'counter': 88, 'group_counter': 12, 'group_order': 880, 'label': '44B-1', 'order': 44, 'powers': [52, 88, 5], 'representative': 70, 'size': 10}
• 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: 13347029
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13347040
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 13347044
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 13347045
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13347046
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2], 'schur_index': 1}
  • id: 13347047
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2], 'schur_index': 1}
  • id: 13347048
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1g', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4], 'schur_index': 1}
  • id: 13347049
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1h', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, -4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13347050
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1i', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, -4, -4, -4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13347030
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1j', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, -4, -4, -1, -1, -1, -1, -4, -4, 4, -4, 4, 4, -4, 4, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 4, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -4, -4, 4, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 4, -4, -4, 4], 'schur_index': 1}
  • id: 13347031
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1k', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, -4, -4, -1, -1, -1, -1, 4, 4, -4, 4, -4, -4, 4, -4, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 4, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -4, -4, 4, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 4, -4, -4, 4], 'schur_index': 1}
  • id: 13347032
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1l', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -4, -4, -4, -4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4], 'schur_index': 1}
  • id: 13347033
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1m', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, -8, 8, 8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 8, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, -8, -8, 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, -8, 8, 8, -8], 'schur_index': 1}
  • id: 13347034
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1n', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -8, -8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 8, 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, -8, -8, -8, -8], 'schur_index': 1}
  • id: 13347037
    {'cdim': 10, 'counter': 17, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.10a', 'multiplicity': 1, 'nt': [11, 4], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 10, 10, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13347038
    {'cdim': 10, 'counter': 18, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.10b', 'multiplicity': 1, 'nt': [22, 6], 'qdim': 10, 'qvalues': [10, -10, -10, 10, 10, 10, -10, -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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 1, 1, -1], 'schur_index': 1}
  • id: 13347039
    {'cdim': 10, 'counter': 19, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.10c', 'multiplicity': 1, 'nt': [44, 13], 'qdim': 10, 'qvalues': [10, -10, -10, 10, -10, -10, 10, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, -1, -1, 1], 'schur_index': 2}
  • id: 13347041
    {'cdim': 10, 'counter': 20, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.10d', 'multiplicity': 1, 'nt': [44, 13], 'qdim': 10, 'qvalues': [10, 10, 10, 10, -10, -10, -10, -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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 1, 1, 1, 1], 'schur_index': 2}
  • id: 13347035
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1o', 'multiplicity': 16, 'nt': [40, 1], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13347036
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.1p', 'multiplicity': 16, 'nt': [40, 1], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 4, 4, 4, -4, 4, -4, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13347042
    {'cdim': 10, 'counter': 21, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.10e', 'multiplicity': 2, 'nt': [88, 0], 'qdim': 20, 'qvalues': [20, -20, 20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13347043
    {'cdim': 10, 'counter': 22, 'faithful': False, 'group': '880.12', 'group_order': 880, 'image': None, 'label': '880.12.10f', 'multiplicity': 2, 'nt': [88, 0], 'qdim': 20, 'qvalues': [20, 20, -20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 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: 31361398
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 880, 'label': '880.12.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361409
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.b1', 'kernel_order': 440, 'label': '880.12.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361420
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 440, 'label': '880.12.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361431
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 440, 'label': '880.12.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361442
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 220, 'label': '880.12.1e1', 'nt': [4, 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, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361453
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 220, 'label': '880.12.1e2', 'nt': [4, 2], '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, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361464
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 220, 'label': '880.12.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361475
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 220, 'label': '880.12.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361485
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 9, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 176, 'label': '880.12.1g1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361399
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 10, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 176, 'label': '880.12.1g2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361400
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 11, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 176, 'label': '880.12.1g3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361401
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 12, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 176, 'label': '880.12.1g4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361402
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 13, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 110, 'label': '880.12.1h1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 31361403
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 14, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 110, 'label': '880.12.1h2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 31361404
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 15, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 110, 'label': '880.12.1h3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 31361405
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 16, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 110, 'label': '880.12.1h4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 31361406
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 17, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 110, 'label': '880.12.1i1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 31361407
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 18, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 110, 'label': '880.12.1i2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 31361408
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 19, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 110, 'label': '880.12.1i3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 31361410
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 20, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 110, 'label': '880.12.1i4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 31361411
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 21, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 88, 'label': '880.12.1j1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, 0]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361412
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 22, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 88, 'label': '880.12.1j2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361413
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 23, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 88, 'label': '880.12.1j3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, 0]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361414
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 24, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 88, 'label': '880.12.1j4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361415
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 25, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 88, 'label': '880.12.1k1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, 0]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361416
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 26, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 88, 'label': '880.12.1k2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361417
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 27, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 88, 'label': '880.12.1k3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, 0]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361418
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 28, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 88, 'label': '880.12.1k4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361419
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 29, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 88, 'label': '880.12.1l1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361421
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 30, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 88, 'label': '880.12.1l2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361422
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 31, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 88, 'label': '880.12.1l3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361423
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 32, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 88, 'label': '880.12.1l4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361424
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 33, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 44, 'label': '880.12.1m1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 6]], [[1, 8]], [[-1, 8]], [[1, 6]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 8]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 9]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 1]], [[-1, 1]], [[-1, 9]], [[1, 7]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361425
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 34, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 44, 'label': '880.12.1m2', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[1, 8]], [[-1, 8]], [[1, 0]], [[1, 6]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[1, 8]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 7]], [[-1, 9]], [[1, 7]], [[1, 1]], [[1, 9]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 9]], [[1, 9]], [[1, 1]], [[-1, 3]], [[1, 7]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361426
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 35, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 44, 'label': '880.12.1m3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 6]], [[1, 8]], [[-1, 8]], [[1, 6]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 8]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 9]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 9]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[1, 1]], [[1, 9]], [[-1, 7]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361427
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 36, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 44, 'label': '880.12.1m4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[1, 8]], [[-1, 8]], [[1, 0]], [[1, 6]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[1, 8]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 7]], [[1, 9]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 9]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 7]], [[1, 7]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361428
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 37, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 44, 'label': '880.12.1m5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 6]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 2]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[-1, 6]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 7]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 7]], [[1, 3]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[1, 3]], [[1, 7]], [[-1, 1]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361429
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 38, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 44, 'label': '880.12.1m6', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 0]], [[-1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 6]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 6]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 9]], [[1, 7]], [[1, 9]], [[-1, 9]], [[1, 1]], [[1, 7]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 7]], [[-1, 7]], [[-1, 3]], [[1, 9]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 9]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361430
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 39, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 44, 'label': '880.12.1m7', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 6]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 2]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[-1, 6]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 7]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 9]], [[1, 9]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361432
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 40, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 44, 'label': '880.12.1m8', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 2]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 0]], [[-1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 6]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 6]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[1, 3]], [[1, 7]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 7]], [[1, 7]], [[1, 3]], [[-1, 9]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 9]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361433
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 41, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 44, 'label': '880.12.1n1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 8]], [[1, 8]], [[-1, 6]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 9]], [[1, 1]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 1]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361434
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 42, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 44, 'label': '880.12.1n2', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[-1, 6]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 7]], [[1, 9]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 9]], [[1, 9]], [[1, 1]], [[1, 3]], [[-1, 7]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 7]], [[1, 7]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361435
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 43, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 44, 'label': '880.12.1n3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 8]], [[1, 8]], [[-1, 6]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 9]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 7]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361436
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 44, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 44, 'label': '880.12.1n4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[-1, 6]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 9]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[1, 7]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361437
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 45, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 44, 'label': '880.12.1n5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 7]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[1, 3]], [[1, 7]], [[1, 1]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361438
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 46, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 44, 'label': '880.12.1n6', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 8]], [[1, 6]], [[1, 2]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[1, 7]], [[1, 9]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 3]], [[1, 7]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 7]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[1, 1]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 9]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361439
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 47, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 44, 'label': '880.12.1n7', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 7]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 7]], [[1, 3]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361440
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 48, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 44, 'label': '880.12.1n8', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 8]], [[1, 6]], [[1, 2]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 9]], [[-1, 7]], [[-1, 9]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 7]], [[1, 7]], [[1, 3]], [[1, 9]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 9]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361441
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 49, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o1', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[1, 15]], [[-1, 5]], [[-1, 15]], [[-1, 15]], [[1, 5]], [[1, 15]], [[1, 5]], [[-1, 5]], [[-1, 4]], [[1, 12]], [[1, 8]], [[-1, 16]], [[1, 12]], [[-1, 16]], [[1, 16]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 18]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 18]], [[1, 18]], [[-1, 14]], [[1, 14]], [[-1, 18]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 14]], [[1, 2]], [[1, 14]], [[-1, 6]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 9]], [[-1, 17]], [[-1, 19]], [[-1, 9]], [[-1, 11]], [[1, 7]], [[1, 1]], [[-1, 13]], [[-1, 17]], [[1, 13]], [[-1, 19]], [[-1, 13]], [[1, 19]], [[1, 13]], [[1, 17]], [[-1, 7]], [[-1, 3]], [[1, 9]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 9]], [[1, 3]], [[1, 3]], [[-1, 11]], [[-1, 7]], [[1, 17]], [[1, 19]], [[-1, 1]], [[1, 1]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 31361451
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 58, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o10', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 16]], [[-1, 5]], [[1, 15]], [[1, 5]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 15]], [[1, 15]], [[1, 8]], [[1, 4]], [[1, 16]], [[1, 12]], [[1, 4]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 16]], [[-1, 16]], [[-1, 8]], [[-1, 8]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[1, 14]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 2]], [[-1, 14]], [[-1, 14]], [[-1, 18]], [[1, 14]], [[1, 18]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 3]], [[1, 19]], [[-1, 13]], [[1, 3]], [[1, 17]], [[1, 9]], [[1, 7]], [[-1, 11]], [[1, 19]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[1, 13]], [[1, 11]], [[-1, 19]], [[-1, 9]], [[1, 1]], [[-1, 3]], [[-1, 17]], [[-1, 17]], [[1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 17]], [[-1, 9]], [[-1, 19]], [[1, 13]], [[-1, 7]], [[1, 7]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 31361452
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 59, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o11', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[-1, 15]], [[1, 5]], [[1, 15]], [[1, 15]], [[-1, 5]], [[-1, 15]], [[-1, 5]], [[1, 5]], [[-1, 12]], [[-1, 16]], [[-1, 4]], [[-1, 8]], [[-1, 16]], [[-1, 8]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 0]], [[1, 14]], [[1, 18]], [[-1, 6]], [[-1, 18]], [[-1, 14]], [[-1, 14]], [[1, 2]], [[-1, 2]], [[1, 14]], [[-1, 18]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[1, 18]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 19]], [[1, 17]], [[1, 1]], [[-1, 7]], [[1, 17]], [[1, 3]], [[1, 11]], [[1, 13]], [[-1, 9]], [[1, 1]], [[1, 9]], [[-1, 7]], [[-1, 9]], [[1, 7]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[1, 19]], [[-1, 17]], [[-1, 3]], [[-1, 3]], [[1, 11]], [[-1, 13]], [[-1, 17]], [[-1, 19]], [[-1, 19]], [[1, 3]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 13]], [[1, 13]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 31361454
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 60, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o12', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 16]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 5]], [[1, 15]], [[1, 5]], [[1, 15]], [[-1, 15]], [[1, 8]], [[1, 4]], [[1, 16]], [[1, 12]], [[1, 4]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 16]], [[-1, 16]], [[-1, 8]], [[-1, 8]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[1, 14]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 18]], [[1, 18]], [[-1, 6]], [[1, 2]], [[-1, 14]], [[-1, 14]], [[-1, 18]], [[1, 14]], [[1, 18]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 19]], [[1, 13]], [[-1, 3]], [[-1, 17]], [[-1, 9]], [[-1, 7]], [[1, 11]], [[-1, 19]], [[-1, 11]], [[1, 13]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[1, 19]], [[1, 9]], [[-1, 1]], [[1, 3]], [[1, 17]], [[1, 17]], [[-1, 9]], [[1, 7]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 17]], [[1, 9]], [[1, 19]], [[-1, 13]], [[1, 7]], [[-1, 7]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 31361455
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 61, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o13', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 16]], [[1, 15]], [[-1, 5]], [[-1, 15]], [[-1, 15]], [[1, 5]], [[1, 15]], [[1, 5]], [[-1, 5]], [[1, 8]], [[1, 4]], [[1, 16]], [[1, 12]], [[1, 4]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 16]], [[-1, 16]], [[-1, 8]], [[-1, 8]], [[1, 0]], [[1, 6]], [[1, 2]], [[-1, 14]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 2]], [[1, 14]], [[1, 14]], [[1, 18]], [[-1, 14]], [[-1, 18]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 11]], [[1, 13]], [[-1, 9]], [[-1, 3]], [[1, 13]], [[1, 7]], [[-1, 19]], [[1, 17]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 9]], [[1, 19]], [[-1, 11]], [[-1, 13]], [[-1, 7]], [[-1, 7]], [[-1, 19]], [[-1, 17]], [[-1, 13]], [[1, 11]], [[1, 11]], [[1, 7]], [[1, 19]], [[1, 9]], [[1, 3]], [[-1, 17]], [[1, 17]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 31361456
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 62, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o14', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[-1, 5]], [[1, 15]], [[1, 5]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 15]], [[1, 15]], [[-1, 12]], [[-1, 16]], [[-1, 4]], [[-1, 8]], [[-1, 16]], [[-1, 8]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 0]], [[-1, 14]], [[-1, 18]], [[1, 6]], [[1, 18]], [[1, 14]], [[1, 14]], [[-1, 2]], [[1, 2]], [[-1, 14]], [[1, 18]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[-1, 18]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 7]], [[1, 11]], [[1, 17]], [[-1, 7]], [[-1, 13]], [[1, 1]], [[-1, 3]], [[-1, 19]], [[1, 11]], [[1, 19]], [[1, 17]], [[-1, 19]], [[-1, 17]], [[1, 19]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[1, 7]], [[1, 13]], [[1, 13]], [[1, 1]], [[1, 3]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 13]], [[-1, 1]], [[-1, 11]], [[-1, 17]], [[1, 3]], [[-1, 3]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 31361457
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 63, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o15', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 16]], [[-1, 15]], [[1, 5]], [[1, 15]], [[1, 15]], [[-1, 5]], [[-1, 15]], [[-1, 5]], [[1, 5]], [[1, 8]], [[1, 4]], [[1, 16]], [[1, 12]], [[1, 4]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 16]], [[-1, 16]], [[-1, 8]], [[-1, 8]], [[1, 0]], [[1, 6]], [[1, 2]], [[-1, 14]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 18]], [[-1, 18]], [[1, 6]], [[-1, 2]], [[1, 14]], [[1, 14]], [[1, 18]], [[-1, 14]], [[-1, 18]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 11]], [[-1, 13]], [[1, 9]], [[1, 3]], [[-1, 13]], [[-1, 7]], [[1, 19]], [[-1, 17]], [[-1, 1]], [[1, 9]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[-1, 19]], [[1, 11]], [[1, 13]], [[1, 7]], [[1, 7]], [[1, 19]], [[1, 17]], [[1, 13]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 19]], [[-1, 9]], [[-1, 3]], [[1, 17]], [[-1, 17]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 31361458
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 64, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o16', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 5]], [[1, 15]], [[1, 5]], [[1, 15]], [[-1, 15]], [[-1, 12]], [[-1, 16]], [[-1, 4]], [[-1, 8]], [[-1, 16]], [[-1, 8]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 0]], [[-1, 14]], [[-1, 18]], [[1, 6]], [[1, 18]], [[1, 14]], [[1, 14]], [[-1, 2]], [[1, 2]], [[-1, 14]], [[1, 18]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[-1, 18]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 7]], [[-1, 11]], [[-1, 17]], [[1, 7]], [[1, 13]], [[-1, 1]], [[1, 3]], [[1, 19]], [[-1, 11]], [[-1, 19]], [[-1, 17]], [[1, 19]], [[1, 17]], [[-1, 19]], [[1, 11]], [[1, 1]], [[-1, 9]], [[-1, 7]], [[-1, 13]], [[-1, 13]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 13]], [[1, 1]], [[1, 11]], [[1, 17]], [[-1, 3]], [[1, 3]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 31361443
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 50, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o2', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[-1, 5]], [[1, 15]], [[1, 5]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 15]], [[1, 15]], [[1, 16]], [[-1, 8]], [[-1, 12]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 12]], [[1, 12]], [[-1, 16]], [[-1, 16]], [[1, 0]], [[1, 2]], [[1, 14]], [[-1, 18]], [[-1, 14]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 14]], [[1, 18]], [[1, 18]], [[1, 6]], [[-1, 18]], [[-1, 6]], [[1, 14]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 17]], [[1, 11]], [[1, 3]], [[1, 1]], [[1, 11]], [[1, 9]], [[-1, 13]], [[-1, 19]], [[1, 7]], [[1, 3]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[1, 13]], [[1, 17]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[-1, 13]], [[1, 19]], [[-1, 11]], [[-1, 17]], [[-1, 17]], [[1, 9]], [[1, 13]], [[-1, 3]], [[-1, 1]], [[1, 19]], [[-1, 19]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 31361444
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 51, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o3', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[-1, 15]], [[1, 5]], [[1, 15]], [[1, 15]], [[-1, 5]], [[-1, 15]], [[-1, 5]], [[1, 5]], [[-1, 4]], [[1, 12]], [[1, 8]], [[-1, 16]], [[1, 12]], [[-1, 16]], [[1, 16]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 18]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 18]], [[1, 18]], [[-1, 14]], [[1, 14]], [[-1, 18]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 14]], [[1, 2]], [[1, 14]], [[-1, 6]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 9]], [[1, 17]], [[1, 19]], [[1, 9]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[1, 13]], [[1, 17]], [[-1, 13]], [[1, 19]], [[1, 13]], [[-1, 19]], [[-1, 13]], [[-1, 17]], [[1, 7]], [[1, 3]], [[-1, 9]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[1, 11]], [[1, 7]], [[-1, 17]], [[-1, 19]], [[1, 1]], [[-1, 1]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 31361445
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 52, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o4', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 5]], [[1, 15]], [[1, 5]], [[1, 15]], [[-1, 15]], [[1, 16]], [[-1, 8]], [[-1, 12]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 12]], [[1, 12]], [[-1, 16]], [[-1, 16]], [[1, 0]], [[1, 2]], [[1, 14]], [[-1, 18]], [[-1, 14]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 14]], [[1, 18]], [[1, 18]], [[1, 6]], [[-1, 18]], [[-1, 6]], [[1, 14]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 17]], [[-1, 11]], [[-1, 3]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 13]], [[1, 19]], [[-1, 7]], [[-1, 3]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 3]], [[-1, 13]], [[-1, 17]], [[1, 11]], [[1, 9]], [[1, 9]], [[1, 13]], [[-1, 19]], [[1, 11]], [[1, 17]], [[1, 17]], [[-1, 9]], [[-1, 13]], [[1, 3]], [[1, 1]], [[-1, 19]], [[1, 19]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 31361446
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 53, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o5', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[1, 15]], [[-1, 5]], [[-1, 15]], [[-1, 15]], [[1, 5]], [[1, 15]], [[1, 5]], [[-1, 5]], [[1, 16]], [[-1, 8]], [[-1, 12]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 12]], [[1, 12]], [[-1, 16]], [[-1, 16]], [[1, 0]], [[-1, 2]], [[-1, 14]], [[1, 18]], [[1, 14]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 14]], [[-1, 18]], [[-1, 18]], [[-1, 6]], [[1, 18]], [[1, 6]], [[-1, 14]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 7]], [[-1, 1]], [[1, 13]], [[-1, 11]], [[-1, 1]], [[-1, 19]], [[-1, 3]], [[1, 9]], [[1, 17]], [[1, 13]], [[-1, 17]], [[-1, 11]], [[1, 17]], [[1, 11]], [[-1, 17]], [[-1, 13]], [[1, 3]], [[1, 7]], [[1, 1]], [[1, 19]], [[1, 19]], [[-1, 3]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 19]], [[1, 3]], [[-1, 13]], [[1, 11]], [[-1, 9]], [[1, 9]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 31361447
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 54, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o6', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[-1, 5]], [[1, 15]], [[1, 5]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 15]], [[1, 15]], [[-1, 4]], [[1, 12]], [[1, 8]], [[-1, 16]], [[1, 12]], [[-1, 16]], [[1, 16]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 18]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 18]], [[-1, 18]], [[1, 14]], [[-1, 14]], [[1, 18]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 14]], [[-1, 2]], [[-1, 14]], [[1, 6]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 13]], [[1, 19]], [[-1, 7]], [[1, 9]], [[1, 19]], [[1, 1]], [[1, 17]], [[-1, 11]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 7]], [[-1, 17]], [[-1, 13]], [[-1, 19]], [[-1, 1]], [[-1, 1]], [[1, 17]], [[1, 11]], [[-1, 19]], [[1, 13]], [[1, 13]], [[1, 1]], [[-1, 17]], [[1, 7]], [[-1, 9]], [[1, 11]], [[-1, 11]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 31361448
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 55, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o7', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[-1, 15]], [[1, 5]], [[1, 15]], [[1, 15]], [[-1, 5]], [[-1, 15]], [[-1, 5]], [[1, 5]], [[1, 16]], [[-1, 8]], [[-1, 12]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 12]], [[1, 12]], [[-1, 16]], [[-1, 16]], [[1, 0]], [[-1, 2]], [[-1, 14]], [[1, 18]], [[1, 14]], [[1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 14]], [[-1, 18]], [[-1, 18]], [[-1, 6]], [[1, 18]], [[1, 6]], [[-1, 14]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 7]], [[1, 1]], [[-1, 13]], [[1, 11]], [[1, 1]], [[1, 19]], [[1, 3]], [[-1, 9]], [[-1, 17]], [[-1, 13]], [[1, 17]], [[1, 11]], [[-1, 17]], [[-1, 11]], [[1, 17]], [[1, 13]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[-1, 19]], [[-1, 19]], [[1, 3]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 19]], [[-1, 3]], [[1, 13]], [[-1, 11]], [[1, 9]], [[-1, 9]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 31361449
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 56, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o8', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 5]], [[1, 15]], [[1, 5]], [[1, 15]], [[-1, 15]], [[-1, 4]], [[1, 12]], [[1, 8]], [[-1, 16]], [[1, 12]], [[-1, 16]], [[1, 16]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 18]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 18]], [[-1, 18]], [[1, 14]], [[-1, 14]], [[1, 18]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 14]], [[-1, 2]], [[-1, 14]], [[1, 6]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 13]], [[-1, 19]], [[1, 7]], [[-1, 9]], [[-1, 19]], [[-1, 1]], [[-1, 17]], [[1, 11]], [[1, 3]], [[1, 7]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[1, 17]], [[1, 13]], [[1, 19]], [[1, 1]], [[1, 1]], [[-1, 17]], [[-1, 11]], [[1, 19]], [[-1, 13]], [[-1, 13]], [[-1, 1]], [[1, 17]], [[-1, 7]], [[1, 9]], [[-1, 11]], [[1, 11]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 31361450
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 57, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.b1', 'kernel_order': 22, 'label': '880.12.1o9', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 15]], [[-1, 5]], [[-1, 15]], [[-1, 15]], [[1, 5]], [[1, 15]], [[1, 5]], [[-1, 5]], [[-1, 12]], [[-1, 16]], [[-1, 4]], [[-1, 8]], [[-1, 16]], [[-1, 8]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 0]], [[1, 14]], [[1, 18]], [[-1, 6]], [[-1, 18]], [[-1, 14]], [[-1, 14]], [[1, 2]], [[-1, 2]], [[1, 14]], [[-1, 18]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[1, 18]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 19]], [[-1, 17]], [[-1, 1]], [[1, 7]], [[-1, 17]], [[-1, 3]], [[-1, 11]], [[-1, 13]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[1, 7]], [[1, 9]], [[-1, 7]], [[-1, 9]], [[1, 1]], [[1, 11]], [[-1, 19]], [[1, 17]], [[1, 3]], [[1, 3]], [[-1, 11]], [[1, 13]], [[1, 17]], [[1, 19]], [[1, 19]], [[-1, 3]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 13]], [[-1, 13]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 31361459
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 65, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p1', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[1, 15]], [[-1, 5]], [[1, 15]], [[-1, 15]], [[-1, 5]], [[-1, 15]], [[1, 5]], [[1, 5]], [[1, 4]], [[-1, 12]], [[-1, 8]], [[1, 16]], [[1, 12]], [[-1, 16]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[1, 0]], [[-1, 18]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 14]], [[-1, 14]], [[1, 18]], [[1, 6]], [[-1, 2]], [[1, 2]], [[1, 14]], [[1, 2]], [[1, 14]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 9]], [[-1, 17]], [[-1, 19]], [[-1, 9]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[1, 13]], [[1, 17]], [[-1, 13]], [[1, 19]], [[-1, 13]], [[1, 19]], [[1, 13]], [[1, 17]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 11]], [[1, 7]], [[-1, 17]], [[-1, 19]], [[1, 1]], [[-1, 1]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 31361469
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 74, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p10', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 16]], [[-1, 5]], [[1, 15]], [[-1, 5]], [[1, 5]], [[1, 15]], [[1, 5]], [[-1, 15]], [[-1, 15]], [[-1, 8]], [[-1, 4]], [[-1, 16]], [[-1, 12]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 4]], [[-1, 16]], [[1, 16]], [[-1, 8]], [[1, 8]], [[1, 0]], [[-1, 6]], [[1, 2]], [[-1, 14]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 18]], [[-1, 18]], [[1, 6]], [[1, 2]], [[-1, 14]], [[1, 14]], [[1, 18]], [[1, 14]], [[1, 18]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[1, 19]], [[-1, 13]], [[1, 3]], [[1, 17]], [[-1, 9]], [[1, 7]], [[1, 11]], [[-1, 19]], [[-1, 11]], [[1, 13]], [[-1, 11]], [[1, 13]], [[1, 11]], [[-1, 19]], [[-1, 9]], [[1, 1]], [[1, 3]], [[1, 17]], [[-1, 17]], [[1, 9]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 17]], [[1, 9]], [[1, 19]], [[-1, 13]], [[1, 7]], [[-1, 7]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 31361470
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 75, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p11', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[-1, 15]], [[1, 5]], [[-1, 15]], [[1, 15]], [[1, 5]], [[1, 15]], [[-1, 5]], [[-1, 5]], [[1, 12]], [[1, 16]], [[1, 4]], [[1, 8]], [[-1, 16]], [[-1, 8]], [[-1, 8]], [[-1, 16]], [[1, 4]], [[-1, 4]], [[1, 12]], [[-1, 12]], [[1, 0]], [[1, 14]], [[-1, 18]], [[1, 6]], [[1, 18]], [[1, 14]], [[-1, 14]], [[1, 2]], [[1, 2]], [[-1, 14]], [[-1, 18]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 18]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 19]], [[-1, 17]], [[1, 1]], [[-1, 7]], [[1, 17]], [[1, 3]], [[-1, 11]], [[1, 13]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[1, 7]], [[-1, 9]], [[1, 7]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[1, 19]], [[1, 17]], [[1, 3]], [[-1, 3]], [[1, 11]], [[-1, 13]], [[-1, 17]], [[1, 19]], [[-1, 19]], [[-1, 3]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 13]], [[-1, 13]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 31361471
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 76, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p12', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 16]], [[1, 5]], [[-1, 15]], [[1, 5]], [[-1, 5]], [[-1, 15]], [[-1, 5]], [[1, 15]], [[1, 15]], [[-1, 8]], [[-1, 4]], [[-1, 16]], [[-1, 12]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 4]], [[-1, 16]], [[1, 16]], [[-1, 8]], [[1, 8]], [[1, 0]], [[-1, 6]], [[1, 2]], [[-1, 14]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 18]], [[-1, 18]], [[1, 6]], [[1, 2]], [[-1, 14]], [[1, 14]], [[1, 18]], [[1, 14]], [[1, 18]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 19]], [[1, 13]], [[-1, 3]], [[-1, 17]], [[1, 9]], [[-1, 7]], [[-1, 11]], [[1, 19]], [[1, 11]], [[-1, 13]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[1, 19]], [[1, 9]], [[-1, 1]], [[-1, 3]], [[-1, 17]], [[1, 17]], [[-1, 9]], [[1, 7]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 17]], [[-1, 9]], [[-1, 19]], [[1, 13]], [[-1, 7]], [[1, 7]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 31361472
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 77, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p13', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 16]], [[1, 15]], [[-1, 5]], [[1, 15]], [[-1, 15]], [[-1, 5]], [[-1, 15]], [[1, 5]], [[1, 5]], [[-1, 8]], [[-1, 4]], [[-1, 16]], [[-1, 12]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 4]], [[-1, 16]], [[1, 16]], [[-1, 8]], [[1, 8]], [[1, 0]], [[1, 6]], [[-1, 2]], [[1, 14]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 18]], [[1, 18]], [[-1, 6]], [[-1, 2]], [[1, 14]], [[-1, 14]], [[-1, 18]], [[-1, 14]], [[-1, 18]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 11]], [[-1, 13]], [[-1, 9]], [[-1, 3]], [[1, 13]], [[1, 7]], [[1, 19]], [[1, 17]], [[-1, 1]], [[1, 9]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 9]], [[1, 19]], [[-1, 11]], [[1, 13]], [[1, 7]], [[-1, 7]], [[-1, 19]], [[-1, 17]], [[-1, 13]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[-1, 19]], [[-1, 9]], [[-1, 3]], [[1, 17]], [[-1, 17]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 31361473
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 78, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p14', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[-1, 5]], [[1, 15]], [[-1, 5]], [[1, 5]], [[1, 15]], [[1, 5]], [[-1, 15]], [[-1, 15]], [[1, 12]], [[1, 16]], [[1, 4]], [[1, 8]], [[-1, 16]], [[-1, 8]], [[-1, 8]], [[-1, 16]], [[1, 4]], [[-1, 4]], [[1, 12]], [[-1, 12]], [[1, 0]], [[-1, 14]], [[1, 18]], [[-1, 6]], [[-1, 18]], [[-1, 14]], [[1, 14]], [[-1, 2]], [[-1, 2]], [[1, 14]], [[1, 18]], [[-1, 6]], [[1, 6]], [[1, 2]], [[1, 6]], [[1, 2]], [[-1, 18]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 7]], [[1, 11]], [[1, 17]], [[-1, 7]], [[-1, 13]], [[-1, 1]], [[-1, 3]], [[1, 19]], [[-1, 11]], [[-1, 19]], [[-1, 17]], [[-1, 19]], [[-1, 17]], [[1, 19]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[-1, 7]], [[-1, 13]], [[1, 13]], [[1, 1]], [[1, 3]], [[1, 7]], [[1, 9]], [[-1, 9]], [[1, 13]], [[1, 1]], [[1, 11]], [[1, 17]], [[-1, 3]], [[1, 3]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 31361474
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 79, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p15', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 16]], [[-1, 15]], [[1, 5]], [[-1, 15]], [[1, 15]], [[1, 5]], [[1, 15]], [[-1, 5]], [[-1, 5]], [[-1, 8]], [[-1, 4]], [[-1, 16]], [[-1, 12]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 4]], [[-1, 16]], [[1, 16]], [[-1, 8]], [[1, 8]], [[1, 0]], [[1, 6]], [[-1, 2]], [[1, 14]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 18]], [[1, 18]], [[-1, 6]], [[-1, 2]], [[1, 14]], [[-1, 14]], [[-1, 18]], [[-1, 14]], [[-1, 18]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 11]], [[1, 13]], [[1, 9]], [[1, 3]], [[-1, 13]], [[-1, 7]], [[-1, 19]], [[-1, 17]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[-1, 19]], [[1, 11]], [[-1, 13]], [[-1, 7]], [[1, 7]], [[1, 19]], [[1, 17]], [[1, 13]], [[1, 11]], [[-1, 11]], [[1, 7]], [[1, 19]], [[1, 9]], [[1, 3]], [[-1, 17]], [[1, 17]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 31361476
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 80, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p16', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 5]], [[-1, 15]], [[1, 5]], [[-1, 5]], [[-1, 15]], [[-1, 5]], [[1, 15]], [[1, 15]], [[1, 12]], [[1, 16]], [[1, 4]], [[1, 8]], [[-1, 16]], [[-1, 8]], [[-1, 8]], [[-1, 16]], [[1, 4]], [[-1, 4]], [[1, 12]], [[-1, 12]], [[1, 0]], [[-1, 14]], [[1, 18]], [[-1, 6]], [[-1, 18]], [[-1, 14]], [[1, 14]], [[-1, 2]], [[-1, 2]], [[1, 14]], [[1, 18]], [[-1, 6]], [[1, 6]], [[1, 2]], [[1, 6]], [[1, 2]], [[-1, 18]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 7]], [[-1, 11]], [[-1, 17]], [[1, 7]], [[1, 13]], [[1, 1]], [[1, 3]], [[-1, 19]], [[1, 11]], [[1, 19]], [[1, 17]], [[1, 19]], [[1, 17]], [[-1, 19]], [[1, 11]], [[1, 1]], [[-1, 9]], [[1, 7]], [[1, 13]], [[-1, 13]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 9]], [[1, 9]], [[-1, 13]], [[-1, 1]], [[-1, 11]], [[-1, 17]], [[1, 3]], [[-1, 3]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 31361460
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 66, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p2', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[-1, 5]], [[1, 15]], [[-1, 5]], [[1, 5]], [[1, 15]], [[1, 5]], [[-1, 15]], [[-1, 15]], [[-1, 16]], [[1, 8]], [[1, 12]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 12]], [[-1, 12]], [[-1, 16]], [[1, 16]], [[1, 0]], [[1, 2]], [[-1, 14]], [[1, 18]], [[1, 14]], [[1, 2]], [[-1, 2]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 14]], [[1, 18]], [[-1, 18]], [[-1, 6]], [[-1, 18]], [[-1, 6]], [[1, 14]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 17]], [[-1, 11]], [[1, 3]], [[1, 1]], [[1, 11]], [[1, 9]], [[1, 13]], [[-1, 19]], [[-1, 7]], [[-1, 3]], [[1, 7]], [[-1, 1]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[1, 13]], [[1, 17]], [[1, 11]], [[1, 9]], [[-1, 9]], [[-1, 13]], [[1, 19]], [[-1, 11]], [[1, 17]], [[-1, 17]], [[-1, 9]], [[-1, 13]], [[1, 3]], [[1, 1]], [[-1, 19]], [[1, 19]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 31361461
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 67, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p3', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[-1, 15]], [[1, 5]], [[-1, 15]], [[1, 15]], [[1, 5]], [[1, 15]], [[-1, 5]], [[-1, 5]], [[1, 4]], [[-1, 12]], [[-1, 8]], [[1, 16]], [[1, 12]], [[-1, 16]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[1, 0]], [[-1, 18]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[-1, 14]], [[-1, 14]], [[1, 18]], [[1, 6]], [[-1, 2]], [[1, 2]], [[1, 14]], [[1, 2]], [[1, 14]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 9]], [[1, 17]], [[1, 19]], [[1, 9]], [[1, 11]], [[1, 7]], [[-1, 1]], [[-1, 13]], [[-1, 17]], [[1, 13]], [[-1, 19]], [[1, 13]], [[-1, 19]], [[-1, 13]], [[-1, 17]], [[1, 7]], [[1, 3]], [[1, 9]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 11]], [[-1, 7]], [[1, 17]], [[1, 19]], [[-1, 1]], [[1, 1]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 31361462
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 68, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p4', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[1, 5]], [[-1, 15]], [[1, 5]], [[-1, 5]], [[-1, 15]], [[-1, 5]], [[1, 15]], [[1, 15]], [[-1, 16]], [[1, 8]], [[1, 12]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 12]], [[-1, 12]], [[-1, 16]], [[1, 16]], [[1, 0]], [[1, 2]], [[-1, 14]], [[1, 18]], [[1, 14]], [[1, 2]], [[-1, 2]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 14]], [[1, 18]], [[-1, 18]], [[-1, 6]], [[-1, 18]], [[-1, 6]], [[1, 14]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 17]], [[1, 11]], [[-1, 3]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 13]], [[1, 19]], [[1, 7]], [[1, 3]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 3]], [[-1, 13]], [[-1, 17]], [[-1, 11]], [[-1, 9]], [[1, 9]], [[1, 13]], [[-1, 19]], [[1, 11]], [[-1, 17]], [[1, 17]], [[1, 9]], [[1, 13]], [[-1, 3]], [[-1, 1]], [[1, 19]], [[-1, 19]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 31361463
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 69, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p5', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[1, 15]], [[-1, 5]], [[1, 15]], [[-1, 15]], [[-1, 5]], [[-1, 15]], [[1, 5]], [[1, 5]], [[-1, 16]], [[1, 8]], [[1, 12]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 12]], [[-1, 12]], [[-1, 16]], [[1, 16]], [[1, 0]], [[-1, 2]], [[1, 14]], [[-1, 18]], [[-1, 14]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 14]], [[-1, 18]], [[1, 18]], [[1, 6]], [[1, 18]], [[1, 6]], [[-1, 14]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 7]], [[1, 1]], [[1, 13]], [[-1, 11]], [[-1, 1]], [[-1, 19]], [[1, 3]], [[1, 9]], [[-1, 17]], [[-1, 13]], [[1, 17]], [[1, 11]], [[1, 17]], [[1, 11]], [[-1, 17]], [[-1, 13]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 19]], [[1, 19]], [[-1, 3]], [[-1, 9]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 19]], [[-1, 3]], [[1, 13]], [[-1, 11]], [[1, 9]], [[-1, 9]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 31361465
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 70, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p6', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[-1, 5]], [[1, 15]], [[-1, 5]], [[1, 5]], [[1, 15]], [[1, 5]], [[-1, 15]], [[-1, 15]], [[1, 4]], [[-1, 12]], [[-1, 8]], [[1, 16]], [[1, 12]], [[-1, 16]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[1, 0]], [[1, 18]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 14]], [[1, 14]], [[-1, 18]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[-1, 14]], [[-1, 2]], [[-1, 14]], [[1, 6]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 13]], [[-1, 19]], [[-1, 7]], [[1, 9]], [[1, 19]], [[1, 1]], [[-1, 17]], [[-1, 11]], [[1, 3]], [[1, 7]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 7]], [[-1, 17]], [[-1, 13]], [[1, 19]], [[1, 1]], [[-1, 1]], [[1, 17]], [[1, 11]], [[-1, 19]], [[-1, 13]], [[1, 13]], [[-1, 1]], [[1, 17]], [[-1, 7]], [[1, 9]], [[-1, 11]], [[1, 11]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 31361466
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 71, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p7', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[-1, 15]], [[1, 5]], [[-1, 15]], [[1, 15]], [[1, 5]], [[1, 15]], [[-1, 5]], [[-1, 5]], [[-1, 16]], [[1, 8]], [[1, 12]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 12]], [[-1, 12]], [[-1, 16]], [[1, 16]], [[1, 0]], [[-1, 2]], [[1, 14]], [[-1, 18]], [[-1, 14]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 14]], [[-1, 18]], [[1, 18]], [[1, 6]], [[1, 18]], [[1, 6]], [[-1, 14]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 7]], [[-1, 1]], [[-1, 13]], [[1, 11]], [[1, 1]], [[1, 19]], [[-1, 3]], [[-1, 9]], [[1, 17]], [[1, 13]], [[-1, 17]], [[-1, 11]], [[-1, 17]], [[-1, 11]], [[1, 17]], [[1, 13]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 19]], [[-1, 19]], [[1, 3]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 19]], [[1, 3]], [[-1, 13]], [[1, 11]], [[-1, 9]], [[1, 9]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 31361467
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 72, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p8', 'nt': [40, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[1, 5]], [[-1, 15]], [[1, 5]], [[-1, 5]], [[-1, 15]], [[-1, 5]], [[1, 15]], [[1, 15]], [[1, 4]], [[-1, 12]], [[-1, 8]], [[1, 16]], [[1, 12]], [[-1, 16]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[1, 0]], [[1, 18]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 14]], [[1, 14]], [[-1, 18]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[-1, 14]], [[-1, 2]], [[-1, 14]], [[1, 6]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 13]], [[1, 19]], [[1, 7]], [[-1, 9]], [[-1, 19]], [[-1, 1]], [[1, 17]], [[1, 11]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[1, 17]], [[1, 13]], [[-1, 19]], [[-1, 1]], [[1, 1]], [[-1, 17]], [[-1, 11]], [[1, 19]], [[1, 13]], [[-1, 13]], [[1, 1]], [[-1, 17]], [[1, 7]], [[-1, 9]], [[1, 11]], [[-1, 11]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 31361468
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 880, 'counter': 73, 'cyclotomic_n': 40, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '40.2', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1.a1', 'kernel_order': 22, 'label': '880.12.1p9', 'nt': [40, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 15]], [[-1, 5]], [[1, 15]], [[-1, 15]], [[-1, 5]], [[-1, 15]], [[1, 5]], [[1, 5]], [[1, 12]], [[1, 16]], [[1, 4]], [[1, 8]], [[-1, 16]], [[-1, 8]], [[-1, 8]], [[-1, 16]], [[1, 4]], [[-1, 4]], [[1, 12]], [[-1, 12]], [[1, 0]], [[1, 14]], [[-1, 18]], [[1, 6]], [[1, 18]], [[1, 14]], [[-1, 14]], [[1, 2]], [[1, 2]], [[-1, 14]], [[-1, 18]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 18]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 19]], [[1, 17]], [[-1, 1]], [[1, 7]], [[-1, 17]], [[-1, 3]], [[1, 11]], [[-1, 13]], [[-1, 9]], [[1, 1]], [[1, 9]], [[-1, 7]], [[1, 9]], [[-1, 7]], [[-1, 9]], [[1, 1]], [[1, 11]], [[-1, 19]], [[-1, 17]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[1, 13]], [[1, 17]], [[-1, 19]], [[1, 19]], [[1, 3]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 13]], [[1, 13]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 31361477
    {'center': '110.a1.a1', 'center_index': 110, 'center_order': 8, 'counter': 81, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '110.1', 'image_order': 110, 'indicator': 1, 'kernel': '110.a1.a1', 'kernel_order': 8, 'label': '880.12.10a', 'nt': [11, 4], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-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]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31361478
    {'center': '110.a1.a1', 'center_index': 110, 'center_order': 8, 'counter': 82, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '220.7', 'image_order': 220, 'indicator': 1, 'kernel': '220.c1.a1', 'kernel_order': 4, 'label': '880.12.10b', 'nt': [22, 6], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[-10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[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]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 31361479
    {'center': '110.a1.a1', 'center_index': 110, 'center_order': 8, 'counter': 83, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '220.1', 'image_order': 220, 'indicator': -1, 'kernel': '220.b1.a1', 'kernel_order': 4, 'label': '880.12.10c', 'nt': [44, 13], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[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]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 31361480
    {'center': '110.a1.a1', 'center_index': 110, 'center_order': 8, 'counter': 84, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '220.1', 'image_order': 220, 'indicator': -1, 'kernel': '220.a1.a1', 'kernel_order': 4, 'label': '880.12.10d', 'nt': [44, 13], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[-10, 0]], [[-10, 0]], [[-10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-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]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31361481
    {'center': '110.a1.a1', 'center_index': 110, 'center_order': 8, 'counter': 85, 'cyclotomic_n': 4, 'dim': 10, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '440.1', 'image_order': 440, 'indicator': 0, 'kernel': '440.a1.b1', 'kernel_order': 2, 'label': '880.12.10e1', 'nt': [88, 0], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[10, 0]], [[-10, 0]], [[-10, 1]], [[10, 1]], [[10, 1]], [[-10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 31361482
    {'center': '110.a1.a1', 'center_index': 110, 'center_order': 8, 'counter': 86, 'cyclotomic_n': 4, 'dim': 10, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '440.1', 'image_order': 440, 'indicator': 0, 'kernel': '440.a1.b1', 'kernel_order': 2, 'label': '880.12.10e2', 'nt': [88, 2], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[10, 0]], [[-10, 0]], [[10, 1]], [[-10, 1]], [[-10, 1]], [[10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 31361483
    {'center': '110.a1.a1', 'center_index': 110, 'center_order': 8, 'counter': 87, 'cyclotomic_n': 4, 'dim': 10, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '440.1', 'image_order': 440, 'indicator': 0, 'kernel': '440.a1.a1', 'kernel_order': 2, 'label': '880.12.10f1', 'nt': [88, 0], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[-10, 0]], [[-10, 0]], [[-10, 1]], [[10, 1]], [[-10, 1]], [[10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 31361484
    {'center': '110.a1.a1', 'center_index': 110, 'center_order': 8, 'counter': 88, 'cyclotomic_n': 4, 'dim': 10, 'faithful': False, 'field': [1, 0, 1], 'group': '880.12', 'group_counter': 12, 'group_order': 880, 'image': None, 'image_isoclass': '440.1', 'image_order': 440, 'indicator': 0, 'kernel': '440.a1.a1', 'kernel_order': 2, 'label': '880.12.10f2', 'nt': [88, 2], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 1]], [[-10, 1]], [[10, 1]], [[-10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
• 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: 112210160
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 880, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 110, 'label': '880.12.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '880.12', 'subgroup_hash': 12, 'subgroup_order': 880, 'subgroup_tex': 'C_{22}:C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 112210171
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 440, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '440.12', 'subgroup_hash': 12, 'subgroup_order': 440, 'subgroup_tex': 'C_{22}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 112210182
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 440, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '880.12.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '440.1', 'subgroup_hash': 1, 'subgroup_order': 440, 'subgroup_tex': 'C_{11}:C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 112210193
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 440, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '880.12.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '440.1', 'subgroup_hash': 1, 'subgroup_order': 440, 'subgroup_tex': 'C_{11}:C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 112210199
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 220, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '220.8', 'subgroup_hash': 8, 'subgroup_order': 220, 'subgroup_tex': 'C_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112210200
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 220, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 112210201
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 220, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 112210202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 176, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 22, 'label': '880.12.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.8', 'subgroup_hash': 8, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 112210203
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 110, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112210161
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 110, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.8.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112210162
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 110, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112210163
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 88, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.8', 'subgroup_hash': 8, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 112210164
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.1', 'subgroup_hash': 1, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 112210165
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.10.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.1', 'subgroup_hash': 1, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 112210166
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '880.12.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 112210167
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 55, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 55, 'label': '880.12.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 112210168
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 44, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 112210169
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 44, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '880.12.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 112210170
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 44, 'counter': 19, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '880.12.20.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 112210172
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '880.12.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 112210173
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 21, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '880.12.22.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 112210174
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 22, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '880.12.22.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 112210175
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '880.12.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 112210176
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 24, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '880.12.40.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 112210177
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 22, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '880.12.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 112210178
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '880.12.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112210179
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 27, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '880.12.44.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 112210180
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 28, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '880.12.44.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 112210181
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '880.12.55.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55.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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 2}
  • id: 112210183
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 11, 'counter': 30, 'cyclic': True, 'direct': False, 'hall': 11, 'label': '880.12.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{40}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 112210184
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 31, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '880.12.88.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.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': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112210185
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 32, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '880.12.88.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112210186
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '880.12.88.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.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': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112210187
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': True, 'central_factor': False, 'centralizer_order': 880, 'characteristic': True, 'core_order': 8, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.110.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '110.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '110.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{11}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 112210188
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 35, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '880.12.110.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 112210189
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 36, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '880.12.110.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '110.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 112210190
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 1, 'counter': 37, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '880.12.176.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.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': 176, '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': 5}
  • id: 112210191
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': True, 'central_factor': False, 'centralizer_order': 880, 'characteristic': True, 'core_order': 4, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '880.12.220.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '220.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '220.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 112210192
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': True, 'central_factor': False, 'centralizer_order': 880, 'characteristic': True, 'core_order': 4, 'counter': 39, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '880.12.220.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '220.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '220.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 112210194
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': True, 'central_factor': False, 'centralizer_order': 880, 'characteristic': True, 'core_order': 4, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '880.12.220.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '220.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '220.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 112210195
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': True, 'central_factor': False, 'centralizer_order': 880, 'characteristic': False, 'core_order': 2, 'counter': 41, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '880.12.440.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '440.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '440.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 440, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{40}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 112210196
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': True, 'central_factor': False, 'centralizer_order': 880, 'characteristic': False, 'core_order': 2, 'counter': 42, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '880.12.440.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '440.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '440.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 440, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{40}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 112210197
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': True, 'central_factor': False, 'centralizer_order': 880, 'characteristic': True, 'core_order': 2, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '880.12.440.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '440.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '440.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 440, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}:C_{20}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 112210198
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '880.12', 'ambient_counter': 12, 'ambient_order': 880, 'ambient_tex': 'C_{22}:C_{40}', 'central': True, 'central_factor': False, 'centralizer_order': 880, 'characteristic': True, 'core_order': 1, 'counter': 44, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '880.12.880.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '880.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '880.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 880, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}:C_{40}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 112210160
    {'ambient': '880.12', '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': '110.a1.a1', 'complements': ['880.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '5.a1.a1', '11.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8565, 7514, 7630, 8567, 7148, 6676, 7279, 6567], 'generators': [5, 80, 8, 10, 440, 20], 'label': '880.12.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '110.1', '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': '110.1'}
  • id: 112210161
    {'ambient': '880.12', 'aut_centralizer_order': 8, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '110.1', 'aut_weyl_index': 16, 'centralizer': '110.a1.a1', 'complements': ['110.b1.a1', '110.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '40.a1.b1', '88.a1.b1'], 'core': '8.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1546, 858, 1810, 783, 617, 1089, 1592, 751], 'generators': [460, 80, 8], 'label': '880.12.8.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '40.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.b1', 'projective_image': '440.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210162
    {'ambient': '880.12', 'aut_centralizer_order': 16, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '110.1', 'aut_weyl_index': 16, 'centralizer': '110.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '40.b1.a1', '88.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3886, 3860, 3806, 4578, 1976, 3324, 3614, 4060], 'generators': [20, 80, 8], 'label': '880.12.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.c1.a1', '4.b1.a1'], 'normal_contains': ['16.a1.a1', '40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '440.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210163
    {'ambient': '880.12', 'aut_centralizer_order': 44, 'aut_label': '10.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '40.14', 'aut_weyl_index': 44, 'centralizer': '10.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.b1.a1', '20.c1.a1', '110.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5868, 5936, 5667, 6429, 7078, 7793, 4461, 7352], 'generators': [10, 80, 20, 440], 'label': '880.12.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.c1.a1', '20.b1.a1', '110.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '110.1', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 112210164
    {'ambient': '880.12', 'aut_centralizer_order': 2, 'aut_label': '10.b1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 4, 'centralizer': '110.a1.a1', 'complements': ['88.a1.a1', '88.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.c1.a1', '110.b1.a1'], 'core': '10.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8795, 8012, 7052, 8033, 8690, 9418, 7279, 9569], 'generators': [5, 20, 80, 10], 'label': '880.12.10.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.a1', 'normal_contained_in': ['2.b1.a1', '5.a1.a1'], 'normal_contains': ['20.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '220.7', 'quotient_action_image': '5.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210165
    {'ambient': '880.12', 'aut_centralizer_order': 2, 'aut_label': '10.b1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 4, 'centralizer': '110.a1.a1', 'complements': ['88.a1.a1', '88.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '5.a1.a1'], 'contains': ['20.c1.a1', '110.b1.b1'], 'core': '10.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8795, 8012, 8055, 9092, 8690, 9418, 7951, 8554], 'generators': [45, 20, 80, 10], 'label': '880.12.10.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.b1', 'normal_contained_in': ['2.b1.b1', '5.a1.a1'], 'normal_contains': ['20.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.b1', 'projective_image': '220.7', 'quotient_action_image': '5.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '10.b1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210166
    {'ambient': '880.12', 'aut_centralizer_order': 10, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '16.11', 'aut_weyl_index': 110, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.a1.a1', '22.b1.a1', '22.b1.b1', '55.a1.a1'], 'core': '110.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9723, -1, 9441, -1, 7695, -1, 9114, -1], 'generators': [5, 8, 10, 440, 20], 'label': '880.12.11.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '110.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210167
    {'ambient': '880.12', 'aut_centralizer_order': 16, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '110.1', 'aut_weyl_index': 16, 'centralizer': '110.a1.a1', 'complements': ['55.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.a1.b1', '8.b1.a1'], 'contains': ['80.a1.a1', '176.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1991, 1959, 1042, 2387, 1976, 3243, 2038, 2823], 'generators': [8, 80], 'label': '880.12.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.b1', '8.a1.a1', '8.b1.a1'], 'normal_contains': ['80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '880.12', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210168
    {'ambient': '880.12', 'aut_centralizer_order': 88, 'aut_label': '20.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 88, 'centralizer': '10.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.a1.b1', '40.b1.a1', '220.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2467, 3363, 3189, 3990, 4373, 5386, 2603, 5586], 'generators': [20, 80, 440], 'label': '880.12.20.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.b1', '40.a1.a1', '40.b1.a1', '220.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '220.1', 'quotient_action_image': '10.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 112210169
    {'ambient': '880.12', 'aut_centralizer_order': 88, 'aut_label': '20.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 88, 'centralizer': '10.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.a1.a1'], 'contains': ['40.b1.a1', '220.b1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4766, 4961, 4587, 5504, 5873, 6837, 5336, 6661], 'generators': [470, 20, 80], 'label': '880.12.20.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.b1.a1', '10.a1.a1'], 'normal_contains': ['40.b1.a1', '220.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '220.1', 'quotient_action_image': '10.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 112210170
    {'ambient': '880.12', 'aut_centralizer_order': 88, 'aut_label': '20.c1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 88, 'centralizer': '10.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'contains': ['40.b1.a1', '220.c1.a1'], 'core': '20.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6170, 6677, 6385, 7266, 7106, 7851, 6330, 8571], 'generators': [10, 20, 80], 'label': '880.12.20.c1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1.a1', 'normal_contained_in': ['4.c1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'normal_contains': ['40.b1.a1', '220.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '220.7', 'quotient_action_image': '10.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 112210171
    {'ambient': '880.12', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '440.42', 'aut_weyl_index': 4, 'centralizer': '110.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '10.a1.a1', '22.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6083, 4990, 5178, 5958, 5046, 4280, 4805, 4171], 'generators': [10, 8, 20, 440, 80], 'label': '880.12.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.b1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '110.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210172
    {'ambient': '880.12', 'aut_centralizer_order': 40, 'aut_label': '22.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 440, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.b1.a1', '44.c1.a1', '110.a1.a1'], 'core': '110.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6931, -1, 5921, -1, 5936, -1, 6482, -1], 'generators': [10, 8, 20, 440], 'label': '880.12.22.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '110.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210173
    {'ambient': '880.12', 'aut_centralizer_order': 20, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 440, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '11.a1.a1'], 'contains': ['44.c1.a1', '110.b1.a1'], 'core': '220.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8938, -1, 7834, -1, 7961, -1, 8538, -1], 'generators': [5, 10, 20, 8], 'label': '880.12.22.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.b1.a1', 'projective_image': '220.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210174
    {'ambient': '880.12', 'aut_centralizer_order': 20, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 440, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '11.a1.a1'], 'contains': ['44.c1.a1', '110.b1.b1'], 'core': '220.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8938, -1, 9040, -1, 7961, -1, 9802, -1], 'generators': [445, 10, 20, 8], 'label': '880.12.22.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.b1.b1', 'projective_image': '220.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210175
    {'ambient': '880.12', 'aut_centralizer_order': 88, 'aut_label': '40.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '10.2', 'aut_weyl_index': 176, 'centralizer': '10.a1.a1', 'complements': ['22.b1.a1', '22.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1'], 'contains': ['80.a1.a1', '440.a1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [729, 1764, 1302, 3446, 3322, 4441, 1451, 4853], 'generators': [440, 80], 'label': '880.12.40.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.a1.a1'], 'normal_contains': ['80.a1.a1', '440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '440.1', 'quotient_action_image': '10.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 112210176
    {'ambient': '880.12', 'aut_centralizer_order': 88, 'aut_label': '40.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '10.2', 'aut_weyl_index': 176, 'centralizer': '10.a1.a1', 'complements': ['22.b1.a1', '22.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '20.a1.a1'], 'contains': ['80.a1.a1', '440.a1.b1'], 'core': '40.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [729, 1764, 2224, 2190, 3322, 4441, 2626, 4102], 'generators': [460, 80], 'label': '880.12.40.a1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.a1.b1', 'normal_contained_in': ['8.a1.b1', '20.a1.a1'], 'normal_contains': ['80.a1.a1', '440.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.b1', 'projective_image': '440.1', 'quotient_action_image': '10.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '40.a1.b1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 112210177
    {'ambient': '880.12', 'aut_centralizer_order': 176, 'aut_label': '40.b1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 176, 'centralizer': '10.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '20.a1.a1', '20.b1.a1', '20.c1.a1'], 'contains': ['80.a1.a1', '440.b1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3711, 4347, 4155, 4889, 4555, 5455, 4116, 5603], 'generators': [20, 80], 'label': '880.12.40.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': ['8.b1.a1', '20.a1.a1', '20.c1.a1', '20.b1.a1'], 'normal_contains': ['80.a1.a1', '440.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.a1', 'projective_image': '440.10', 'quotient_action_image': '10.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 112210178
    {'ambient': '880.12', 'aut_centralizer_order': 80, 'aut_label': '44.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '2.1', 'aut_weyl_index': 880, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.a1.a1'], 'contains': ['88.a1.a1', '88.a1.b1', '88.b1.a1', '220.a1.a1'], 'core': '220.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3085, -1, 2871, -1, 3231, -1, 4625, -1], 'generators': [20, 8, 440], 'label': '880.12.44.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.a1.a1', 'projective_image': '220.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210179
    {'ambient': '880.12', 'aut_centralizer_order': 80, 'aut_label': '44.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '2.1', 'aut_weyl_index': 880, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '22.a1.a1'], 'contains': ['88.b1.a1', '220.b1.a1'], 'core': '220.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5266, -1, 5190, -1, 5256, -1, 5833, -1], 'generators': [470, 20, 8], 'label': '880.12.44.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.b1.a1', 'projective_image': '220.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210180
    {'ambient': '880.12', 'aut_centralizer_order': 80, 'aut_label': '44.c1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '2.1', 'aut_weyl_index': 880, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '22.a1.a1', '22.b1.a1', '22.b1.b1'], 'contains': ['88.b1.a1', '220.c1.a1'], 'core': '220.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7478, -1, 6868, -1, 6489, -1, 7595, -1], 'generators': [10, 20, 8], 'label': '880.12.44.c1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.c1.a1', 'projective_image': '220.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210181
    {'ambient': '880.12', 'aut_centralizer_order': 10, 'aut_label': '55.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '16.11', 'aut_weyl_index': 110, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '11.a1.a1'], 'contains': ['110.a1.a1', '110.b1.a1', '110.b1.b1'], 'core': '110.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8263, -1, 8869, -1, 9587, -1, 9170, -1], 'generators': [5, 440], 'label': '880.12.55.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '55.a1.a1', 'projective_image': '110.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210182
    {'ambient': '880.12', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 4, 'centralizer': '110.a1.a1', 'complements': ['440.a1.a1', '440.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '10.b1.a1', '22.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8961, 7514, 6703, 7917, 6608, 6676, 6319, 7189], 'generators': [5, 10, 20, 8, 80], 'label': '880.12.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '10.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '220.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210183
    {'ambient': '880.12', 'aut_centralizer_order': 176, 'aut_label': '80.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 176, 'centralizer': '10.a1.a1', 'complements': ['11.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '40.a1.a1', '40.a1.b1', '40.b1.a1'], 'contains': ['880.a1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [277, 2924, 1023, 3206, 3294, 4510, 2626, 4631], 'generators': [80], 'label': '880.12.80.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.a1.b1', '40.a1.a1', '40.b1.a1'], 'normal_contains': ['880.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': '880.12', 'quotient_action_image': '10.2', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 112210184
    {'ambient': '880.12', 'aut_centralizer_order': 80, 'aut_label': '88.a1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1760, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.a1.a1'], 'contains': ['176.a1.a1', '440.a1.a1'], 'core': '440.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [1427, -1, 1423, -1, 2705, -1, 3123, -1], 'generators': [440, 8], 'label': '880.12.88.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '88.a1.a1', 'projective_image': '440.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210185
    {'ambient': '880.12', 'aut_centralizer_order': 80, 'aut_label': '88.a1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1760, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '44.a1.a1'], 'contains': ['176.a1.a1', '440.a1.b1'], 'core': '440.a1.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [1427, -1, 2268, -1, 2705, -1, 3619, -1], 'generators': [460, 8], 'label': '880.12.88.a1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '88.a1.b1', 'projective_image': '440.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210186
    {'ambient': '880.12', 'aut_centralizer_order': 160, 'aut_label': '88.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1760, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '44.a1.a1', '44.b1.a1', '44.c1.a1'], 'contains': ['176.a1.a1', '440.b1.a1'], 'core': '440.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4211, -1, 3793, -1, 3938, -1, 5076, -1], 'generators': [20, 8], 'label': '880.12.88.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '88.b1.a1', 'projective_image': '440.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210187
    {'ambient': '880.12', 'aut_centralizer_order': 440, 'aut_label': '110.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 440, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '22.a1.a1', '55.a1.a1'], 'contains': ['220.a1.a1', '220.b1.a1', '220.c1.a1'], 'core': '110.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6122, 5809, 5833, 6251, 7891, 9142, 6962, 7616], 'generators': [10, 440], 'label': '880.12.110.a1.a1', 'mobius_quo': 0, 'mobius_sub': -11, 'normal_closure': '110.a1.a1', 'normal_contained_in': ['10.a1.a1'], 'normal_contains': ['220.a1.a1', '220.c1.a1', '220.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '110.a1.a1', 'projective_image': '110.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '110.1', 'quotient_action_kernel_order': 110, 'quotient_fusion': None, 'short_label': '110.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210188
    {'ambient': '880.12', 'aut_centralizer_order': 20, 'aut_label': '110.b1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 440, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.b1.a1', '22.b1.a1', '55.a1.a1'], 'contains': ['220.c1.a1'], 'core': '220.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8779, -1, 7591, -1, 8669, -1, 8374, -1], 'generators': [5], 'label': '880.12.110.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '110.b1.a1', 'projective_image': '220.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210189
    {'ambient': '880.12', 'aut_centralizer_order': 20, 'aut_label': '110.b1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 440, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.b1.b1', '22.b1.b1', '55.a1.a1'], 'contains': ['220.c1.a1'], 'core': '220.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8779, -1, 8513, -1, 8669, -1, 8978, -1], 'generators': [45], 'label': '880.12.110.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '110.b1.b1', 'projective_image': '220.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210190
    {'ambient': '880.12', 'aut_centralizer_order': 160, 'aut_label': '176.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1760, 'centralizer': '11.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '88.a1.a1', '88.a1.b1', '88.b1.a1'], 'contains': ['880.a1.a1'], 'core': '880.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [1839, -1, 1893, -1, 2719, -1, 3507, -1], 'generators': [8], 'label': '880.12.176.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '176.a1.a1', 'projective_image': '880.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210191
    {'ambient': '880.12', 'aut_centralizer_order': 880, 'aut_label': '220.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 880, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '44.a1.a1', '110.a1.a1'], 'contains': ['440.a1.a1', '440.a1.b1', '440.b1.a1'], 'core': '220.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3085, 3752, 3221, 4302, 5151, 6434, 4596, 6329], 'generators': [20, 440], 'label': '880.12.220.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '220.a1.a1', 'normal_contained_in': ['20.a1.a1', '110.a1.a1'], 'normal_contains': ['440.a1.b1', '440.a1.a1', '440.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '220.a1.a1', 'projective_image': '220.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '220.1', 'quotient_action_kernel_order': 220, 'quotient_fusion': None, 'short_label': '220.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210192
    {'ambient': '880.12', 'aut_centralizer_order': 880, 'aut_label': '220.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 880, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '44.b1.a1', '110.a1.a1'], 'contains': ['440.b1.a1'], 'core': '220.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5068, 4961, 5089, 5477, 5781, 7321, 5669, 6985], 'generators': [470], 'label': '880.12.220.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '220.b1.a1', 'normal_contained_in': ['20.b1.a1', '110.a1.a1'], 'normal_contains': ['440.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '220.b1.a1', 'projective_image': '220.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '220.1', 'quotient_action_kernel_order': 220, 'quotient_fusion': None, 'short_label': '220.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210193
    {'ambient': '880.12', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 4, 'centralizer': '110.a1.a1', 'complements': ['440.a1.a1', '440.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '10.b1.b1', '22.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8961, 7514, 7630, 9217, 6608, 6676, 8238, 5944], 'generators': [45, 10, 20, 8, 80], 'label': '880.12.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '10.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '220.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210194
    {'ambient': '880.12', 'aut_centralizer_order': 880, 'aut_label': '220.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 880, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.c1.a1', '44.c1.a1', '110.a1.a1', '110.b1.a1', '110.b1.b1'], 'contains': ['440.b1.a1'], 'core': '220.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6876, 5809, 6626, 6251, 7106, 8151, 7279, 7616], 'generators': [10], 'label': '880.12.220.c1.a1', 'mobius_quo': 0, 'mobius_sub': 22, 'normal_closure': '220.c1.a1', 'normal_contained_in': ['20.c1.a1', '110.a1.a1'], 'normal_contains': ['440.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '220.c1.a1', 'projective_image': '220.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '220.7', 'quotient_action_kernel_order': 220, 'quotient_fusion': None, 'short_label': '220.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210195
    {'ambient': '880.12', 'aut_centralizer_order': 880, 'aut_label': '440.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1760, 'centralizer': '1.a1.a1', 'complements': ['2.b1.a1', '2.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '88.a1.a1', '220.a1.a1'], 'contains': ['880.a1.a1'], 'core': '440.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1380, 3596, 1442, 4185, 3854, 5547, 3100, 5927], 'generators': [440], 'label': '880.12.440.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '440.a1.a1', 'normal_contained_in': ['40.a1.a1', '220.a1.a1'], 'normal_contains': ['880.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '440.a1.a1', 'projective_image': '440.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '440.1', 'quotient_action_kernel_order': 440, 'quotient_fusion': None, 'short_label': '440.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210196
    {'ambient': '880.12', 'aut_centralizer_order': 880, 'aut_label': '440.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1760, 'centralizer': '1.a1.a1', 'complements': ['2.b1.a1', '2.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['40.a1.b1', '88.a1.b1', '220.a1.a1'], 'contains': ['880.a1.a1'], 'core': '440.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1380, 3596, 2547, 3544, 3854, 5547, 3913, 5313], 'generators': [460], 'label': '880.12.440.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '440.a1.b1', 'normal_contained_in': ['40.a1.b1', '220.a1.a1'], 'normal_contains': ['880.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '440.a1.b1', 'projective_image': '440.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '440.1', 'quotient_action_kernel_order': 440, 'quotient_fusion': None, 'short_label': '440.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210197
    {'ambient': '880.12', 'aut_centralizer_order': 1760, 'aut_label': '440.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1760, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['40.b1.a1', '88.b1.a1', '220.a1.a1', '220.b1.a1', '220.c1.a1'], 'contains': ['880.a1.a1'], 'core': '440.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3863, 4347, 4066, 4889, 4849, 6434, 4834, 6542], 'generators': [20], 'label': '880.12.440.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '440.b1.a1', 'normal_contained_in': ['40.b1.a1', '220.a1.a1', '220.c1.a1', '220.b1.a1'], 'normal_contains': ['880.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '440.b1.a1', 'projective_image': '440.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '440.10', 'quotient_action_kernel_order': 440, 'quotient_fusion': None, 'short_label': '440.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210198
    {'ambient': '880.12', 'aut_centralizer_order': None, 'aut_label': '880.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': ['80.a1.a1', '176.a1.a1', '440.a1.a1', '440.a1.b1', '440.b1.a1'], 'contains': [], 'core': '880.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1618, 3596, 1893, 3865, 3574, 5547, 3507, 5620], 'generators': [], 'label': '880.12.880.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '880.a1.a1', 'normal_contained_in': ['80.a1.a1', '440.a1.b1', '440.a1.a1', '440.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '880.a1.a1', 'projective_image': '880.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112210199
    {'ambient': '880.12', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '220.7', 'aut_weyl_index': 8, 'centralizer': '110.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.a1.b1', '8.b1.a1', '20.a1.a1', '44.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2966, 2992, 2770, 3099, 1885, 1135, 2293, 2422], 'generators': [20, 8, 80, 440], 'label': '880.12.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.b1', '8.a1.a1', '8.b1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '220.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210200
    {'ambient': '880.12', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '220.7', 'aut_weyl_index': 8, 'centralizer': '110.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '20.b1.a1', '44.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4702, 4990, 4288, 4924, 3322, 3496, 3450, 4171], 'generators': [470, 20, 80, 8], 'label': '880.12.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '220.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210201
    {'ambient': '880.12', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '220.7', 'aut_weyl_index': 8, 'centralizer': '110.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.b1.a1', '20.c1.a1', '44.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6542, 6881, 6258, 6991, 4681, 5731, 5471, 5825], 'generators': [10, 20, 80, 8], 'label': '880.12.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normal_contains': ['8.b1.a1', '20.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '220.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210202
    {'ambient': '880.12', 'aut_centralizer_order': 1, 'aut_label': '5.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 1, 'centralizer': '110.a1.a1', 'complements': ['176.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1', '55.a1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8200, 9142, 8214, 9057, 8949, 8635, 7279, 8639], 'generators': [5, 10, 20, 440, 80], 'label': '880.12.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '110.1', 'quotient_action_image': '5.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 112210203
    {'ambient': '880.12', 'aut_centralizer_order': 8, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '110.1', 'aut_weyl_index': 16, 'centralizer': '110.a1.a1', 'complements': ['110.b1.a1', '110.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '40.a1.a1', '88.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1546, 858, 559, 2512, 617, 1089, 497, 2405], 'generators': [440, 80, 8], 'label': '880.12.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '440.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}