Abstract group data - 80.20

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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': True, 'abelian_quotient': '80.20', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 4, 12, 2, 2], 'aut_gens': [[1, 4], [43, 6], [63, 6], [61, 11], [3, 46], [43, 44]], 'aut_group': '384.18060', 'aut_hash': 18060, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 384, 'aut_permdeg': 12, 'aut_perms': [40279680, 43908501, 87097100, 7, 23], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [4, 1, 12, 1], [5, 1, 4, 1], [10, 1, 12, 1], [20, 1, 48, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_4\\times \\GL(2,\\mathbb{Z}/4)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '384.18060', 'autcent_hash': 18060, 'autcent_nilpotent': False, 'autcent_order': 384, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_4\\times \\GL(2,\\mathbb{Z}/4)', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 3], [4, 1, 12], [5, 1, 4], [10, 1, 12], [20, 1, 48]], 'center_label': '80.20', 'center_order': 80, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '5.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 20, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['4.1', 2], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 1, 2, 6], [5, 1, 4, 1], [10, 1, 4, 3], [20, 1, 8, 6]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 6, 'exponent': 20, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '20.5', 'hash': 20, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1], 'inner_gens': [[1, 4], [1, 4]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 80]], 'label': '80.20', 'linC_count': 1152, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 48, 'linQ_dim': 8, 'linQ_dim_count': 48, 'linR_count': 288, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C4*C20', 'ngens': 5, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [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': 6, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 80, 'number_divisions': 20, 'number_normal_subgroups': 30, 'number_subgroup_autclasses': 12, 'number_subgroup_classes': 30, 'number_subgroups': 30, 'old_label': None, 'order': 80, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 3], [4, 12], [5, 4], [10, 12], [20, 48]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 4, 12, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[43, 6], [63, 6], [61, 11], [3, 46], [43, 44]], 'outer_group': '384.18060', 'outer_hash': 18060, 'outer_nilpotent': False, 'outer_order': 384, 'outer_permdeg': 12, 'outer_perms': [40279680, 43908501, 87097100, 7, 23], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_4\\times \\GL(2,\\mathbb{Z}/4)', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [4, 4, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [4, 4], [8, 6]], 'representations': {'PC': {'code': 114420626435, 'gens': [1, 3], 'pres': [5, -2, -2, -2, -2, -5, 10, 42, 58]}, 'GLFp': {'d': 2, 'p': 41, 'gens': [1585222, 620321]}, 'Perm': {'d': 13, 'gens': [1516838400, 131040, 96, 482630400, 41040]}}, 'schur_multiplier': [4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [4, 20], 'solvability_type': 1, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_4\\times C_{20}', 'transitive_degree': 80, '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: 105821596
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 20, 'group_order': 80, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 105821607
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 20, 'group_order': 80, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 40, 'size': 1}
  • id: 105821618
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 20, 'group_order': 80, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 2, 'size': 1}
  • id: 105821629
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 20, 'group_order': 80, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 42, 'size': 1}
  • id: 105821640
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 20, 'group_order': 80, 'label': '4A1', 'order': 4, 'powers': [2, 5], 'representative': 20, 'size': 1}
  • id: 105821651
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 20, 'group_order': 80, 'label': '4A-1', 'order': 4, 'powers': [2, 6], 'representative': 60, 'size': 1}
  • id: 105821662
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 20, 'group_order': 80, 'label': '4B1', 'order': 4, 'powers': [2, 7], 'representative': 22, 'size': 1}
  • id: 105821673
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 20, 'group_order': 80, 'label': '4B-1', 'order': 4, 'powers': [2, 8], 'representative': 62, 'size': 1}
  • id: 105821675
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 20, 'group_order': 80, 'label': '4C1', 'order': 4, 'powers': [3, 9], 'representative': 1, 'size': 1}
  • id: 105821597
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 20, 'group_order': 80, 'label': '4C-1', 'order': 4, 'powers': [3, 10], 'representative': 3, 'size': 1}
  • id: 105821598
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 20, 'group_order': 80, 'label': '4D1', 'order': 4, 'powers': [3, 11], 'representative': 41, 'size': 1}
  • id: 105821599
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 20, 'group_order': 80, 'label': '4D-1', 'order': 4, 'powers': [3, 12], 'representative': 43, 'size': 1}
  • id: 105821600
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 20, 'group_order': 80, 'label': '4E1', 'order': 4, 'powers': [4, 13], 'representative': 21, 'size': 1}
  • id: 105821601
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 20, 'group_order': 80, 'label': '4E-1', 'order': 4, 'powers': [4, 14], 'representative': 63, 'size': 1}
  • id: 105821602
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 20, 'group_order': 80, 'label': '4F1', 'order': 4, 'powers': [4, 15], 'representative': 61, 'size': 1}
  • id: 105821603
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 20, 'group_order': 80, 'label': '4F-1', 'order': 4, 'powers': [4, 16], 'representative': 23, 'size': 1}
  • id: 105821604
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 20, 'group_order': 80, 'label': '5A1', 'order': 5, 'powers': [19, 1], 'representative': 16, 'size': 1}
  • id: 105821605
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 20, 'group_order': 80, 'label': '5A-1', 'order': 5, 'powers': [20, 1], 'representative': 64, 'size': 1}
  • id: 105821606
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 20, 'group_order': 80, 'label': '5A2', 'order': 5, 'powers': [18, 1], 'representative': 32, 'size': 1}
  • id: 105821608
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 20, 'group_order': 80, 'label': '5A-2', 'order': 5, 'powers': [17, 1], 'representative': 48, 'size': 1}
  • id: 105821609
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 20, 'group_order': 80, 'label': '10A1', 'order': 10, 'powers': [17, 2], 'representative': 8, 'size': 1}
  • id: 105821610
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 20, 'group_order': 80, 'label': '10A-1', 'order': 10, 'powers': [18, 2], 'representative': 72, 'size': 1}
  • id: 105821611
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 20, 'group_order': 80, 'label': '10A3', 'order': 10, 'powers': [20, 2], 'representative': 24, 'size': 1}
  • id: 105821612
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 20, 'group_order': 80, 'label': '10A-3', 'order': 10, 'powers': [19, 2], 'representative': 56, 'size': 1}
  • id: 105821613
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 20, 'group_order': 80, 'label': '10B1', 'order': 10, 'powers': [18, 3], 'representative': 34, 'size': 1}
  • id: 105821614
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 20, 'group_order': 80, 'label': '10B-1', 'order': 10, 'powers': [17, 3], 'representative': 50, 'size': 1}
  • id: 105821615
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 20, 'group_order': 80, 'label': '10B3', 'order': 10, 'powers': [19, 3], 'representative': 18, 'size': 1}
  • id: 105821616
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 20, 'group_order': 80, 'label': '10B-3', 'order': 10, 'powers': [20, 3], 'representative': 66, 'size': 1}
  • id: 105821617
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 20, 'group_order': 80, 'label': '10C1', 'order': 10, 'powers': [17, 4], 'representative': 10, 'size': 1}
  • id: 105821619
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 20, 'group_order': 80, 'label': '10C-1', 'order': 10, 'powers': [18, 4], 'representative': 74, 'size': 1}
  • id: 105821620
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 20, 'group_order': 80, 'label': '10C3', 'order': 10, 'powers': [20, 4], 'representative': 26, 'size': 1}
  • id: 105821621
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 20, 'group_order': 80, 'label': '10C-3', 'order': 10, 'powers': [19, 4], 'representative': 58, 'size': 1}
  • id: 105821622
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 20, 'group_order': 80, 'label': '20A1', 'order': 20, 'powers': [21, 5], 'representative': 4, 'size': 1}
  • id: 105821623
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 20, 'group_order': 80, 'label': '20A-1', 'order': 20, 'powers': [22, 6], 'representative': 76, 'size': 1}
  • id: 105821624
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 20, 'group_order': 80, 'label': '20A3', 'order': 20, 'powers': [23, 6], 'representative': 12, 'size': 1}
  • id: 105821625
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 20, 'group_order': 80, 'label': '20A-3', 'order': 20, 'powers': [24, 5], 'representative': 68, 'size': 1}
  • id: 105821626
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 20, 'group_order': 80, 'label': '20A7', 'order': 20, 'powers': [24, 6], 'representative': 28, 'size': 1}
  • id: 105821627
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 20, 'group_order': 80, 'label': '20A-7', 'order': 20, 'powers': [23, 5], 'representative': 52, 'size': 1}
  • id: 105821628
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 20, 'group_order': 80, 'label': '20A9', 'order': 20, 'powers': [22, 5], 'representative': 36, 'size': 1}
  • id: 105821630
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 20, 'group_order': 80, 'label': '20A-9', 'order': 20, 'powers': [21, 6], 'representative': 44, 'size': 1}
  • id: 105821631
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 20, 'group_order': 80, 'label': '20B1', 'order': 20, 'powers': [21, 7], 'representative': 6, 'size': 1}
  • id: 105821632
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 20, 'group_order': 80, 'label': '20B-1', 'order': 20, 'powers': [22, 8], 'representative': 78, 'size': 1}
  • id: 105821633
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 20, 'group_order': 80, 'label': '20B3', 'order': 20, 'powers': [23, 8], 'representative': 14, 'size': 1}
  • id: 105821634
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 20, 'group_order': 80, 'label': '20B-3', 'order': 20, 'powers': [24, 7], 'representative': 70, 'size': 1}
  • id: 105821635
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 20, 'group_order': 80, 'label': '20B7', 'order': 20, 'powers': [24, 8], 'representative': 30, 'size': 1}
  • id: 105821636
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 20, 'group_order': 80, 'label': '20B-7', 'order': 20, 'powers': [23, 7], 'representative': 54, 'size': 1}
  • id: 105821637
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 20, 'group_order': 80, 'label': '20B9', 'order': 20, 'powers': [22, 7], 'representative': 38, 'size': 1}
  • id: 105821638
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 20, 'group_order': 80, 'label': '20B-9', 'order': 20, 'powers': [21, 8], 'representative': 46, 'size': 1}
  • id: 105821639
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 20, 'group_order': 80, 'label': '20C1', 'order': 20, 'powers': [25, 9], 'representative': 17, 'size': 1}
  • id: 105821641
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 20, 'group_order': 80, 'label': '20C-1', 'order': 20, 'powers': [26, 10], 'representative': 67, 'size': 1}
  • id: 105821642
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 20, 'group_order': 80, 'label': '20C3', 'order': 20, 'powers': [27, 10], 'representative': 51, 'size': 1}
  • id: 105821643
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 20, 'group_order': 80, 'label': '20C-3', 'order': 20, 'powers': [28, 9], 'representative': 33, 'size': 1}
  • id: 105821644
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 20, 'group_order': 80, 'label': '20C7', 'order': 20, 'powers': [28, 10], 'representative': 35, 'size': 1}
  • id: 105821645
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 20, 'group_order': 80, 'label': '20C-7', 'order': 20, 'powers': [27, 9], 'representative': 49, 'size': 1}
  • id: 105821646
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 20, 'group_order': 80, 'label': '20C9', 'order': 20, 'powers': [26, 9], 'representative': 65, 'size': 1}
  • id: 105821647
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 20, 'group_order': 80, 'label': '20C-9', 'order': 20, 'powers': [25, 10], 'representative': 19, 'size': 1}
  • id: 105821648
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 20, 'group_order': 80, 'label': '20D1', 'order': 20, 'powers': [27, 11], 'representative': 9, 'size': 1}
  • id: 105821649
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 20, 'group_order': 80, 'label': '20D-1', 'order': 20, 'powers': [28, 12], 'representative': 75, 'size': 1}
  • id: 105821650
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 59, 'group_counter': 20, 'group_order': 80, 'label': '20D3', 'order': 20, 'powers': [26, 12], 'representative': 27, 'size': 1}
  • id: 105821652
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 60, 'group_counter': 20, 'group_order': 80, 'label': '20D-3', 'order': 20, 'powers': [25, 11], 'representative': 57, 'size': 1}
  • id: 105821653
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 61, 'group_counter': 20, 'group_order': 80, 'label': '20D7', 'order': 20, 'powers': [25, 12], 'representative': 59, 'size': 1}
  • id: 105821654
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 62, 'group_counter': 20, 'group_order': 80, 'label': '20D-7', 'order': 20, 'powers': [26, 11], 'representative': 25, 'size': 1}
  • id: 105821655
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 63, 'group_counter': 20, 'group_order': 80, 'label': '20D9', 'order': 20, 'powers': [28, 11], 'representative': 73, 'size': 1}
  • id: 105821656
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 64, 'group_counter': 20, 'group_order': 80, 'label': '20D-9', 'order': 20, 'powers': [27, 12], 'representative': 11, 'size': 1}
  • id: 105821657
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 65, 'group_counter': 20, 'group_order': 80, 'label': '20E1', 'order': 20, 'powers': [29, 13], 'representative': 5, 'size': 1}
  • id: 105821658
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 66, 'group_counter': 20, 'group_order': 80, 'label': '20E-1', 'order': 20, 'powers': [30, 14], 'representative': 79, 'size': 1}
  • id: 105821659
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 67, 'group_counter': 20, 'group_order': 80, 'label': '20E3', 'order': 20, 'powers': [31, 14], 'representative': 15, 'size': 1}
  • id: 105821660
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 68, 'group_counter': 20, 'group_order': 80, 'label': '20E-3', 'order': 20, 'powers': [32, 13], 'representative': 69, 'size': 1}
  • id: 105821661
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 69, 'group_counter': 20, 'group_order': 80, 'label': '20E7', 'order': 20, 'powers': [32, 14], 'representative': 31, 'size': 1}
  • id: 105821663
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 70, 'group_counter': 20, 'group_order': 80, 'label': '20E-7', 'order': 20, 'powers': [31, 13], 'representative': 53, 'size': 1}
  • id: 105821664
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 71, 'group_counter': 20, 'group_order': 80, 'label': '20E9', 'order': 20, 'powers': [30, 13], 'representative': 37, 'size': 1}
  • id: 105821665
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 72, 'group_counter': 20, 'group_order': 80, 'label': '20E-9', 'order': 20, 'powers': [29, 14], 'representative': 47, 'size': 1}
  • id: 105821666
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 73, 'group_counter': 20, 'group_order': 80, 'label': '20F1', 'order': 20, 'powers': [31, 15], 'representative': 13, 'size': 1}
  • id: 105821667
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 74, 'group_counter': 20, 'group_order': 80, 'label': '20F-1', 'order': 20, 'powers': [32, 16], 'representative': 71, 'size': 1}
  • id: 105821668
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 75, 'group_counter': 20, 'group_order': 80, 'label': '20F3', 'order': 20, 'powers': [30, 16], 'representative': 39, 'size': 1}
  • id: 105821669
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 76, 'group_counter': 20, 'group_order': 80, 'label': '20F-3', 'order': 20, 'powers': [29, 15], 'representative': 45, 'size': 1}
  • id: 105821670
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 77, 'group_counter': 20, 'group_order': 80, 'label': '20F7', 'order': 20, 'powers': [29, 16], 'representative': 7, 'size': 1}
  • id: 105821671
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 78, 'group_counter': 20, 'group_order': 80, 'label': '20F-7', 'order': 20, 'powers': [30, 15], 'representative': 77, 'size': 1}
  • id: 105821672
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 20, 'group_order': 80, 'label': '20F9', 'order': 20, 'powers': [32, 15], 'representative': 29, 'size': 1}
  • id: 105821674
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 20, 'group_order': 80, 'label': '20F-9', 'order': 20, 'powers': [31, 16], 'representative': 55, 'size': 1}
• 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: 3626330
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1a', '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], 'schur_index': 1}
  • id: 3626341
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1b', '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], 'schur_index': 1}
  • id: 3626343
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1c', '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], 'schur_index': 1}
  • id: 3626344
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1d', '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], 'schur_index': 1}
  • id: 3626345
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, -2, 0, 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, -2, -2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, -2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, -2, 0, 2, -2, 2, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626346
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 2, 0, 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, 2, 2, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 2, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 2, 0, -2, 2, -2, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626347
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1g', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 0, 2, -2, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2], 'schur_index': 1}
  • id: 3626348
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1h', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, 0, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 0, -2, 2, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2], 'schur_index': 1}
  • id: 3626349
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 0, 0, 0, 0, -2, 2, 0, 2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 2, 0], 'schur_index': 1}
  • id: 3626331
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 0, 0, 0, 0, 2, -2, 0, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2, -2, 0], 'schur_index': 1}
  • id: 3626332
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1k', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, -1, -1, -1, -1, -1, -1, -1, -1, -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: 3626333
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1l', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, 4, -4, 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, -1, 1, 1, 1, -1, 1, 1, -1, 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: 3626334
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1m', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -4, -4, 4, -4, 4, -4, 4, -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, 1, -1, -1, 1, 1, -1, 1, 1, 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: 3626335
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1n', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -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, 1, 1, 1, -1, 1, 1, -1, 1, -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: 3626336
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1o', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, 0, -8, 0, 8, 0, 8, -8, 0, -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, 2, 2, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 2, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 2, 0, -2, 2, -2, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626337
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1p', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, 0, 8, 0, -8, 0, -8, 8, 0, -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, -2, -2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, -2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, -2, 0, 2, -2, 2, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626338
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1q', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, -8, 0, -8, 0, 8, 0, 0, 8, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 0, -2, 2, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2], 'schur_index': 1}
  • id: 3626339
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1r', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, 8, 0, 8, 0, -8, 0, 0, -8, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 0, 2, -2, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2], 'schur_index': 1}
  • id: 3626340
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1s', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, -8, 8, 8, 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, 0, 0, 0, 0, 2, -2, 0, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2, -2, 0], 'schur_index': 1}
  • id: 3626342
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '80.20', 'group_order': 80, 'image': None, 'label': '80.20.1t', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, 8, -8, -8, 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, 0, 0, 0, 0, -2, 2, 0, 2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 2, 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: 5223389
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 80, 'label': '80.20.1a', '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]]]}
  • id: 5223400
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.c1', 'kernel_order': 40, 'label': '80.20.1b', '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]]]}
  • id: 5223411
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.b1', 'kernel_order': 40, 'label': '80.20.1c', '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]]]}
  • id: 5223422
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 40, 'label': '80.20.1d', '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]]]}
  • id: 5223433
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.f1', 'kernel_order': 20, 'label': '80.20.1e1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-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, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 5223444
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.f1', 'kernel_order': 20, 'label': '80.20.1e2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[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, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 5223455
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.e1', 'kernel_order': 20, 'label': '80.20.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[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, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 5223466
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.e1', 'kernel_order': 20, 'label': '80.20.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-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, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 5223468
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 9, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.d1', 'kernel_order': 20, 'label': '80.20.1g1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]]]}
  • id: 5223390
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.d1', 'kernel_order': 20, 'label': '80.20.1g2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]]]}
  • id: 5223391
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 11, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.c1', 'kernel_order': 20, 'label': '80.20.1h1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]]]}
  • id: 5223392
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 12, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.c1', 'kernel_order': 20, 'label': '80.20.1h2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]]]}
  • id: 5223393
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 13, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.b1', 'kernel_order': 20, 'label': '80.20.1i1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 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, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]]]}
  • id: 5223394
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 14, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.b1', 'kernel_order': 20, 'label': '80.20.1i2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 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, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]]]}
  • id: 5223395
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 15, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 20, 'label': '80.20.1j1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 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, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]]]}
  • id: 5223396
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 16, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 20, 'label': '80.20.1j2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 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, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]]]}
  • id: 5223397
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 17, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 16, 'label': '80.20.1k1', 'nt': [5, 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, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 5223398
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 18, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 16, 'label': '80.20.1k2', 'nt': [5, 4], '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, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]]]}
  • id: 5223399
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 19, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 16, 'label': '80.20.1k3', 'nt': [5, 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, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]]]}
  • id: 5223401
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 20, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 16, 'label': '80.20.1k4', 'nt': [5, 4], '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, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 5223402
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 21, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.c1', 'kernel_order': 8, 'label': '80.20.1l1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 5223403
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 22, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.c1', 'kernel_order': 8, 'label': '80.20.1l2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -1]]]}
  • id: 5223404
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 23, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.c1', 'kernel_order': 8, 'label': '80.20.1l3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]]]}
  • id: 5223405
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 24, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.c1', 'kernel_order': 8, 'label': '80.20.1l4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 5223406
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 25, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 8, 'label': '80.20.1m1', 'nt': [10, 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, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 5223407
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 26, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 8, 'label': '80.20.1m2', 'nt': [10, 4], '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, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[1, -1]]]}
  • id: 5223408
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 27, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 8, 'label': '80.20.1m3', 'nt': [10, 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, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, -2]]]}
  • id: 5223409
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 28, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 8, 'label': '80.20.1m4', 'nt': [10, 4], '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, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 5223410
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 29, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 8, 'label': '80.20.1n1', 'nt': [10, 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, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 5223412
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 30, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 8, 'label': '80.20.1n2', 'nt': [10, 4], '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, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, -1]]]}
  • id: 5223413
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 31, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 8, 'label': '80.20.1n3', 'nt': [10, 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, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, -2]]]}
  • id: 5223414
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 32, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 8, 'label': '80.20.1n4', 'nt': [10, 4], '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, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 5223415
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 33, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.f1', 'kernel_order': 4, 'label': '80.20.1o1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 6]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[1, 1]], [[1, 3]], [[-1, 7]], [[-1, 3]], [[1, 7]], [[1, 6]], [[-1, 4]], [[1, 4]], [[-1, 3]], [[1, 3]], [[1, 8]], [[1, 1]], [[-1, 7]], [[1, 9]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 8]], [[1, 1]], [[1, 6]], [[-1, 7]], [[1, 2]], [[-1, 3]], [[-1, 6]], [[-1, 8]], [[1, 2]], [[1, 1]], [[1, 9]], [[-1, 3]], [[1, 7]], [[1, 3]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 7]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 9]]]}
  • id: 5223416
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 34, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.f1', 'kernel_order': 4, 'label': '80.20.1o2', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 0]], [[-1, 5]], [[1, 0]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[1, 6]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 7]], [[1, 3]], [[1, 7]], [[-1, 3]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 7]], [[-1, 7]], [[-1, 2]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[1, 8]], [[1, 9]], [[1, 9]], [[-1, 2]], [[-1, 9]], [[-1, 4]], [[1, 3]], [[-1, 8]], [[1, 7]], [[1, 4]], [[1, 2]], [[-1, 8]], [[-1, 9]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[1, 8]], [[1, 6]], [[1, 9]], [[-1, 6]], [[1, 2]], [[1, 4]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 5223417
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 35, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.f1', 'kernel_order': 4, 'label': '80.20.1o3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[1, 6]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[-1, 7]], [[1, 7]], [[-1, 2]], [[1, 9]], [[-1, 3]], [[1, 1]], [[1, 8]], [[-1, 9]], [[-1, 9]], [[-1, 2]], [[1, 9]], [[-1, 4]], [[-1, 3]], [[-1, 8]], [[-1, 7]], [[1, 4]], [[1, 2]], [[-1, 8]], [[1, 9]], [[1, 1]], [[-1, 7]], [[1, 3]], [[1, 7]], [[1, 8]], [[1, 6]], [[-1, 9]], [[-1, 6]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 5223418
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 36, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.f1', 'kernel_order': 4, 'label': '80.20.1o4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 0]], [[-1, 5]], [[1, 0]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 6]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[-1, 3]], [[1, 7]], [[1, 3]], [[-1, 7]], [[1, 6]], [[-1, 4]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 8]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 8]], [[-1, 1]], [[1, 6]], [[1, 7]], [[1, 2]], [[1, 3]], [[-1, 6]], [[-1, 8]], [[1, 2]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[-1, 7]], [[-1, 3]], [[-1, 2]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[-1, 7]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 9]]]}
  • id: 5223419
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 37, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.f1', 'kernel_order': 4, 'label': '80.20.1o5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[1, 2]], [[1, 8]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 7]], [[-1, 7]], [[1, 7]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 9]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[1, 9]], [[-1, 9]], [[1, 4]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 6]], [[1, 3]], [[1, 3]], [[1, 4]], [[-1, 3]], [[-1, 8]], [[1, 1]], [[1, 6]], [[1, 9]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 3]], [[-1, 7]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[-1, 6]], [[1, 2]], [[1, 3]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[-1, 1]], [[-1, 9]], [[1, 7]], [[-1, 7]], [[1, 7]]]}
  • id: 5223420
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 38, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.f1', 'kernel_order': 4, 'label': '80.20.1o6', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 0]], [[-1, 5]], [[1, 0]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[1, 7]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[1, 9]], [[1, 2]], [[-1, 8]], [[1, 8]], [[-1, 1]], [[1, 1]], [[-1, 6]], [[1, 7]], [[-1, 9]], [[1, 3]], [[1, 4]], [[-1, 7]], [[-1, 7]], [[-1, 6]], [[1, 7]], [[1, 2]], [[-1, 9]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[1, 6]], [[-1, 4]], [[1, 7]], [[1, 3]], [[-1, 1]], [[1, 9]], [[1, 1]], [[1, 4]], [[-1, 8]], [[-1, 7]], [[1, 8]], [[1, 6]], [[-1, 2]], [[1, 9]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]]]}
  • id: 5223421
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 39, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.f1', 'kernel_order': 4, 'label': '80.20.1o7', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 7]], [[-1, 9]], [[1, 9]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[1, 1]], [[-1, 9]], [[1, 2]], [[-1, 8]], [[1, 8]], [[1, 1]], [[-1, 1]], [[-1, 6]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[1, 4]], [[1, 7]], [[1, 7]], [[-1, 6]], [[-1, 7]], [[1, 2]], [[1, 9]], [[-1, 4]], [[1, 1]], [[-1, 2]], [[1, 6]], [[-1, 4]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[1, 4]], [[-1, 8]], [[1, 7]], [[1, 8]], [[1, 6]], [[-1, 2]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]]]}
  • id: 5223423
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 40, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.f1', 'kernel_order': 4, 'label': '80.20.1o8', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 0]], [[-1, 5]], [[1, 0]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[1, 2]], [[1, 8]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[-1, 9]], [[1, 9]], [[1, 4]], [[1, 3]], [[-1, 1]], [[1, 7]], [[-1, 6]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, 3]], [[-1, 8]], [[-1, 1]], [[1, 6]], [[-1, 9]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 3]], [[1, 7]], [[-1, 9]], [[1, 1]], [[1, 9]], [[-1, 6]], [[1, 2]], [[-1, 3]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[1, 1]], [[1, 9]], [[-1, 7]], [[1, 7]], [[-1, 7]]]}
  • id: 5223424
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 41, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.e1', 'kernel_order': 4, 'label': '80.20.1p1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 0]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 6]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[1, 7]], [[-1, 6]], [[1, 4]], [[-1, 4]], [[1, 3]], [[1, 3]], [[-1, 8]], [[-1, 1]], [[1, 7]], [[1, 9]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 8]], [[1, 1]], [[-1, 6]], [[1, 7]], [[-1, 2]], [[-1, 3]], [[1, 6]], [[1, 8]], [[-1, 2]], [[-1, 1]], [[-1, 9]], [[-1, 3]], [[1, 7]], [[1, 3]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]]]}
  • id: 5223425
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 42, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.e1', 'kernel_order': 4, 'label': '80.20.1p2', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 0]], [[1, 5]], [[-1, 0]], [[1, 5]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[1, 6]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 7]], [[1, 3]], [[-1, 7]], [[-1, 3]], [[1, 4]], [[-1, 6]], [[1, 6]], [[-1, 7]], [[-1, 7]], [[1, 2]], [[1, 9]], [[-1, 3]], [[-1, 1]], [[-1, 8]], [[-1, 9]], [[1, 9]], [[1, 2]], [[-1, 9]], [[1, 4]], [[-1, 3]], [[1, 8]], [[1, 7]], [[-1, 4]], [[-1, 2]], [[1, 8]], [[1, 9]], [[1, 1]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 8]], [[-1, 6]], [[1, 9]], [[1, 6]], [[-1, 2]], [[-1, 4]], [[1, 3]], [[1, 7]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 5223426
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 43, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.e1', 'kernel_order': 4, 'label': '80.20.1p3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 0]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 0]], [[1, 0]], [[1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[1, 6]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 7]], [[-1, 3]], [[1, 7]], [[1, 3]], [[1, 4]], [[-1, 6]], [[1, 6]], [[1, 7]], [[1, 7]], [[1, 2]], [[-1, 9]], [[1, 3]], [[1, 1]], [[-1, 8]], [[1, 9]], [[-1, 9]], [[1, 2]], [[1, 9]], [[1, 4]], [[1, 3]], [[1, 8]], [[-1, 7]], [[-1, 4]], [[-1, 2]], [[1, 8]], [[-1, 9]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[1, 7]], [[-1, 8]], [[-1, 6]], [[-1, 9]], [[1, 6]], [[-1, 2]], [[-1, 4]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 5223427
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 44, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.e1', 'kernel_order': 4, 'label': '80.20.1p4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 0]], [[1, 5]], [[-1, 0]], [[1, 5]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 6]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 1]], [[1, 7]], [[1, 7]], [[-1, 1]], [[1, 3]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 6]], [[1, 4]], [[-1, 4]], [[-1, 3]], [[-1, 3]], [[-1, 8]], [[1, 1]], [[-1, 7]], [[-1, 9]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 8]], [[-1, 1]], [[-1, 6]], [[-1, 7]], [[-1, 2]], [[1, 3]], [[1, 6]], [[1, 8]], [[-1, 2]], [[1, 1]], [[1, 9]], [[1, 3]], [[-1, 7]], [[-1, 3]], [[1, 2]], [[1, 4]], [[1, 1]], [[-1, 4]], [[1, 8]], [[1, 6]], [[1, 7]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]]]}
  • id: 5223428
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 45, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.e1', 'kernel_order': 4, 'label': '80.20.1p5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 0]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[1, 2]], [[1, 8]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 9]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[1, 8]], [[-1, 2]], [[1, 2]], [[-1, 9]], [[-1, 9]], [[-1, 4]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[1, 6]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[-1, 3]], [[1, 8]], [[-1, 1]], [[-1, 6]], [[1, 9]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 3]], [[1, 7]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[1, 6]], [[-1, 2]], [[1, 3]], [[1, 2]], [[1, 4]], [[-1, 8]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 7]], [[-1, 7]]]}
  • id: 5223429
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 46, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.e1', 'kernel_order': 4, 'label': '80.20.1p6', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 0]], [[1, 5]], [[-1, 0]], [[1, 5]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[1, 9]], [[-1, 2]], [[1, 8]], [[-1, 8]], [[1, 1]], [[1, 1]], [[1, 6]], [[-1, 7]], [[1, 9]], [[1, 3]], [[-1, 4]], [[1, 7]], [[-1, 7]], [[1, 6]], [[1, 7]], [[-1, 2]], [[1, 9]], [[1, 4]], [[-1, 1]], [[1, 2]], [[-1, 6]], [[1, 4]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[1, 9]], [[1, 1]], [[-1, 4]], [[1, 8]], [[-1, 7]], [[-1, 8]], [[-1, 6]], [[1, 2]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]]]}
  • id: 5223430
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 47, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.e1', 'kernel_order': 4, 'label': '80.20.1p7', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 0]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 0]], [[1, 0]], [[1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[1, 9]], [[1, 9]], [[-1, 7]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[-1, 2]], [[1, 8]], [[-1, 8]], [[-1, 1]], [[-1, 1]], [[1, 6]], [[1, 7]], [[-1, 9]], [[-1, 3]], [[-1, 4]], [[-1, 7]], [[1, 7]], [[1, 6]], [[-1, 7]], [[-1, 2]], [[-1, 9]], [[1, 4]], [[1, 1]], [[1, 2]], [[-1, 6]], [[1, 4]], [[1, 7]], [[1, 3]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 4]], [[1, 8]], [[1, 7]], [[-1, 8]], [[-1, 6]], [[1, 2]], [[1, 9]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]]]}
  • id: 5223431
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 48, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.e1', 'kernel_order': 4, 'label': '80.20.1p8', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 0]], [[1, 5]], [[-1, 0]], [[1, 5]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[1, 2]], [[1, 8]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 9]], [[-1, 1]], [[1, 9]], [[1, 1]], [[1, 8]], [[-1, 2]], [[1, 2]], [[1, 9]], [[1, 9]], [[-1, 4]], [[-1, 3]], [[1, 1]], [[1, 7]], [[1, 6]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[1, 3]], [[1, 8]], [[1, 1]], [[-1, 6]], [[-1, 9]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[-1, 3]], [[-1, 7]], [[-1, 9]], [[1, 1]], [[1, 9]], [[1, 6]], [[-1, 2]], [[-1, 3]], [[1, 2]], [[1, 4]], [[-1, 8]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 7]], [[1, 7]]]}
  • id: 5223432
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 49, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.d1', 'kernel_order': 4, 'label': '80.20.1q1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 0]], [[1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[-1, 5]], [[-1, 5]], [[1, 0]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[1, 4]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[1, 9]], [[1, 4]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 7]], [[-1, 1]], [[-1, 8]], [[1, 7]], [[1, 8]], [[1, 7]], [[1, 1]], [[1, 9]], [[-1, 9]], [[-1, 8]], [[-1, 3]], [[1, 3]], [[1, 6]], [[1, 2]], [[1, 9]], [[-1, 7]], [[-1, 6]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 6]], [[-1, 4]], [[1, 3]], [[-1, 7]], [[1, 3]], [[1, 7]], [[-1, 9]], [[1, 1]], [[1, 9]], [[1, 3]], [[1, 1]], [[-1, 2]], [[1, 8]], [[-1, 9]], [[-1, 9]], [[1, 4]]]}
  • id: 5223434
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 50, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.d1', 'kernel_order': 4, 'label': '80.20.1q2', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[1, 0]], [[1, 5]], [[1, 5]], [[1, 0]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[1, 6]], [[-1, 8]], [[-1, 1]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 3]], [[1, 9]], [[1, 2]], [[-1, 3]], [[-1, 2]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, 7]], [[-1, 7]], [[-1, 4]], [[-1, 8]], [[-1, 1]], [[1, 3]], [[1, 4]], [[1, 9]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 8]], [[-1, 3]], [[1, 7]], [[1, 9]], [[1, 7]], [[1, 3]], [[1, 4]], [[1, 6]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 7]], [[-1, 9]], [[1, 8]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 6]]]}
  • id: 5223435
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 51, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.d1', 'kernel_order': 4, 'label': '80.20.1q3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 0]], [[1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[-1, 5]], [[-1, 5]], [[1, 0]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[1, 6]], [[-1, 8]], [[1, 1]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 3]], [[-1, 9]], [[1, 2]], [[1, 3]], [[-1, 2]], [[1, 3]], [[1, 9]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 7]], [[1, 7]], [[-1, 4]], [[-1, 8]], [[1, 1]], [[-1, 3]], [[1, 4]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[1, 8]], [[1, 3]], [[-1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[1, 4]], [[1, 6]], [[1, 7]], [[-1, 3]], [[1, 7]], [[1, 3]], [[-1, 1]], [[1, 9]], [[1, 1]], [[1, 7]], [[1, 9]], [[1, 8]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 6]]]}
  • id: 5223436
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 52, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.d1', 'kernel_order': 4, 'label': '80.20.1q4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[1, 0]], [[1, 5]], [[1, 5]], [[1, 0]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[1, 4]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[-1, 9]], [[1, 4]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 7]], [[1, 1]], [[-1, 8]], [[-1, 7]], [[1, 8]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[1, 9]], [[-1, 8]], [[1, 3]], [[-1, 3]], [[1, 6]], [[1, 2]], [[-1, 9]], [[1, 7]], [[-1, 6]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 7]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 7]], [[-1, 6]], [[-1, 4]], [[-1, 3]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[-1, 3]], [[-1, 1]], [[-1, 2]], [[1, 8]], [[1, 9]], [[1, 9]], [[1, 4]]]}
  • id: 5223437
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 53, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.d1', 'kernel_order': 4, 'label': '80.20.1q5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 0]], [[1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[-1, 5]], [[-1, 5]], [[1, 0]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 7]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 1]], [[1, 3]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[1, 7]], [[-1, 4]], [[1, 9]], [[-1, 9]], [[-1, 8]], [[1, 6]], [[-1, 7]], [[1, 1]], [[1, 8]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 6]], [[-1, 1]], [[1, 9]], [[1, 3]], [[1, 9]], [[1, 1]], [[1, 8]], [[1, 2]], [[-1, 9]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 9]], [[-1, 3]], [[-1, 6]], [[1, 4]], [[1, 7]], [[1, 7]], [[-1, 2]]]}
  • id: 5223438
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 54, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.d1', 'kernel_order': 4, 'label': '80.20.1q6', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[1, 0]], [[1, 5]], [[1, 5]], [[1, 0]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 8]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[1, 3]], [[1, 8]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 9]], [[-1, 7]], [[1, 6]], [[1, 9]], [[-1, 6]], [[1, 9]], [[1, 7]], [[1, 3]], [[-1, 3]], [[1, 6]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 4]], [[1, 3]], [[-1, 9]], [[-1, 2]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[1, 4]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 2]], [[-1, 8]], [[1, 1]], [[-1, 9]], [[1, 1]], [[1, 9]], [[-1, 3]], [[1, 7]], [[1, 3]], [[1, 1]], [[1, 7]], [[1, 4]], [[-1, 6]], [[-1, 3]], [[-1, 3]], [[1, 8]]]}
  • id: 5223439
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 55, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.d1', 'kernel_order': 4, 'label': '80.20.1q7', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 0]], [[1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[-1, 5]], [[-1, 5]], [[1, 0]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 8]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 3]], [[1, 8]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 9]], [[1, 7]], [[1, 6]], [[-1, 9]], [[-1, 6]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[1, 3]], [[1, 6]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[-1, 3]], [[1, 9]], [[-1, 2]], [[1, 7]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 4]], [[-1, 9]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[-1, 2]], [[-1, 8]], [[-1, 1]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 7]], [[1, 4]], [[-1, 6]], [[1, 3]], [[1, 3]], [[1, 8]]]}
  • id: 5223440
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 56, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.d1', 'kernel_order': 4, 'label': '80.20.1q8', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[1, 0]], [[1, 5]], [[1, 5]], [[1, 0]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[1, 2]], [[1, 6]], [[1, 7]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 1]], [[-1, 3]], [[-1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 3]], [[1, 7]], [[-1, 7]], [[-1, 4]], [[-1, 9]], [[1, 9]], [[-1, 8]], [[1, 6]], [[1, 7]], [[-1, 1]], [[1, 8]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 6]], [[1, 1]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[1, 8]], [[1, 2]], [[1, 9]], [[-1, 1]], [[1, 9]], [[1, 1]], [[-1, 7]], [[1, 3]], [[1, 7]], [[1, 9]], [[1, 3]], [[-1, 6]], [[1, 4]], [[-1, 7]], [[-1, 7]], [[-1, 2]]]}
  • id: 5223441
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 57, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.c1', 'kernel_order': 4, 'label': '80.20.1r1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 0]], [[-1, 5]], [[1, 0]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 5]], [[-1, 0]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[1, 4]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[1, 9]], [[-1, 4]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[-1, 7]], [[-1, 1]], [[1, 8]], [[1, 7]], [[-1, 8]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[1, 9]], [[1, 8]], [[-1, 3]], [[-1, 3]], [[-1, 6]], [[-1, 2]], [[1, 9]], [[1, 7]], [[1, 6]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 7]], [[1, 6]], [[1, 4]], [[1, 3]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[1, 9]], [[1, 1]], [[-1, 9]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[-1, 8]], [[-1, 9]], [[-1, 9]], [[-1, 4]]]}
  • id: 5223442
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 58, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.c1', 'kernel_order': 4, 'label': '80.20.1r2', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 0]], [[1, 5]], [[1, 0]], [[1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 5]], [[-1, 0]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[1, 6]], [[-1, 8]], [[-1, 1]], [[1, 6]], [[-1, 6]], [[1, 4]], [[1, 8]], [[1, 3]], [[1, 9]], [[-1, 2]], [[-1, 3]], [[1, 2]], [[-1, 3]], [[1, 9]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 7]], [[1, 7]], [[1, 4]], [[1, 8]], [[-1, 1]], [[-1, 3]], [[-1, 4]], [[1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 8]], [[1, 3]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 4]], [[-1, 6]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[1, 7]], [[1, 9]], [[-1, 8]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 6]]]}
  • id: 5223443
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 59, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.c1', 'kernel_order': 4, 'label': '80.20.1r3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 0]], [[-1, 5]], [[1, 0]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 5]], [[-1, 0]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[1, 6]], [[-1, 8]], [[1, 1]], [[1, 6]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 3]], [[-1, 9]], [[-1, 2]], [[1, 3]], [[1, 2]], [[1, 3]], [[-1, 9]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 7]], [[-1, 7]], [[1, 4]], [[1, 8]], [[1, 1]], [[1, 3]], [[-1, 4]], [[-1, 9]], [[1, 7]], [[1, 9]], [[1, 9]], [[-1, 8]], [[-1, 3]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 3]], [[-1, 4]], [[-1, 6]], [[1, 7]], [[-1, 3]], [[1, 7]], [[-1, 3]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[-1, 9]], [[-1, 8]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 6]]]}
  • id: 5223445
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 60, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.c1', 'kernel_order': 4, 'label': '80.20.1r4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 0]], [[1, 5]], [[1, 0]], [[1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 5]], [[-1, 0]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[1, 4]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[-1, 9]], [[-1, 4]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 7]], [[1, 1]], [[1, 8]], [[-1, 7]], [[-1, 8]], [[-1, 7]], [[1, 1]], [[1, 9]], [[-1, 9]], [[1, 8]], [[1, 3]], [[1, 3]], [[-1, 6]], [[-1, 2]], [[-1, 9]], [[-1, 7]], [[1, 6]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 7]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[1, 6]], [[1, 4]], [[-1, 3]], [[1, 7]], [[-1, 3]], [[1, 7]], [[-1, 9]], [[-1, 1]], [[1, 9]], [[1, 3]], [[1, 1]], [[1, 2]], [[-1, 8]], [[1, 9]], [[1, 9]], [[-1, 4]]]}
  • id: 5223446
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 61, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.c1', 'kernel_order': 4, 'label': '80.20.1r5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 0]], [[-1, 5]], [[1, 0]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 5]], [[-1, 0]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 7]], [[1, 2]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 1]], [[1, 3]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 3]], [[1, 7]], [[-1, 7]], [[1, 4]], [[1, 9]], [[1, 9]], [[1, 8]], [[-1, 6]], [[-1, 7]], [[-1, 1]], [[-1, 8]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[1, 6]], [[1, 1]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 8]], [[-1, 2]], [[-1, 9]], [[1, 1]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 3]], [[1, 7]], [[1, 9]], [[1, 3]], [[1, 6]], [[-1, 4]], [[1, 7]], [[1, 7]], [[1, 2]]]}
  • id: 5223447
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 62, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.c1', 'kernel_order': 4, 'label': '80.20.1r6', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 0]], [[1, 5]], [[1, 0]], [[1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 5]], [[-1, 0]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 8]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[1, 3]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 9]], [[-1, 7]], [[-1, 6]], [[1, 9]], [[1, 6]], [[1, 9]], [[-1, 7]], [[-1, 3]], [[1, 3]], [[-1, 6]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[1, 3]], [[1, 9]], [[1, 2]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 4]], [[-1, 9]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[1, 2]], [[1, 8]], [[1, 1]], [[-1, 9]], [[1, 1]], [[-1, 9]], [[1, 3]], [[1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 4]], [[1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 8]]]}
  • id: 5223448
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 63, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.c1', 'kernel_order': 4, 'label': '80.20.1r7', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 0]], [[-1, 5]], [[1, 0]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 5]], [[-1, 0]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 8]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 3]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[1, 4]], [[1, 9]], [[1, 7]], [[-1, 6]], [[-1, 9]], [[1, 6]], [[-1, 9]], [[1, 7]], [[1, 3]], [[-1, 3]], [[-1, 6]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[-1, 9]], [[1, 2]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 4]], [[1, 9]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[1, 2]], [[1, 8]], [[-1, 1]], [[1, 9]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[1, 1]], [[1, 7]], [[-1, 4]], [[1, 6]], [[1, 3]], [[1, 3]], [[-1, 8]]]}
  • id: 5223449
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 64, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.c1', 'kernel_order': 4, 'label': '80.20.1r8', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 0]], [[1, 5]], [[1, 0]], [[1, 5]], [[-1, 0]], [[-1, 5]], [[-1, 5]], [[-1, 0]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[1, 2]], [[1, 6]], [[1, 7]], [[1, 2]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[-1, 1]], [[-1, 3]], [[1, 4]], [[1, 1]], [[-1, 4]], [[1, 1]], [[-1, 3]], [[-1, 7]], [[1, 7]], [[1, 4]], [[-1, 9]], [[-1, 9]], [[1, 8]], [[-1, 6]], [[1, 7]], [[1, 1]], [[-1, 8]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 6]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 1]], [[-1, 8]], [[-1, 2]], [[1, 9]], [[-1, 1]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 3]], [[-1, 7]], [[-1, 9]], [[-1, 3]], [[1, 6]], [[-1, 4]], [[-1, 7]], [[-1, 7]], [[1, 2]]]}
  • id: 5223450
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 65, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.b1', 'kernel_order': 4, 'label': '80.20.1s1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[1, 4]], [[1, 6]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 9]], [[-1, 9]], [[-1, 1]], [[1, 7]], [[1, 2]], [[-1, 6]], [[1, 3]], [[-1, 2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 8]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 4]], [[1, 7]], [[1, 1]], [[1, 6]], [[1, 3]], [[1, 6]], [[-1, 1]], [[1, 7]], [[1, 7]], [[-1, 8]], [[1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[-1, 7]], [[-1, 9]], [[-1, 6]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 4]], [[1, 4]], [[1, 9]]]}
  • id: 5223451
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 66, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.b1', 'kernel_order': 4, 'label': '80.20.1s2', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[1, 2]], [[1, 6]], [[-1, 8]], [[-1, 6]], [[1, 1]], [[1, 1]], [[1, 9]], [[-1, 3]], [[-1, 8]], [[1, 4]], [[-1, 7]], [[1, 8]], [[-1, 7]], [[-1, 8]], [[-1, 9]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 2]], [[1, 7]], [[-1, 9]], [[1, 3]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 4]], [[-1, 7]], [[-1, 4]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[-1, 9]], [[1, 7]], [[1, 3]], [[1, 9]], [[-1, 1]], [[-1, 2]], [[1, 8]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 4]], [[1, 1]], [[-1, 7]], [[1, 9]], [[1, 3]], [[1, 7]], [[1, 6]], [[-1, 6]], [[-1, 1]]]}
  • id: 5223452
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 67, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.b1', 'kernel_order': 4, 'label': '80.20.1s3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[1, 2]], [[1, 6]], [[-1, 8]], [[-1, 6]], [[-1, 1]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[-1, 8]], [[1, 4]], [[1, 7]], [[1, 8]], [[1, 7]], [[-1, 8]], [[1, 9]], [[1, 1]], [[1, 1]], [[-1, 7]], [[-1, 2]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[1, 6]], [[1, 3]], [[1, 9]], [[-1, 4]], [[1, 7]], [[-1, 4]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[1, 1]], [[-1, 2]], [[1, 8]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[-1, 3]], [[-1, 7]], [[1, 6]], [[-1, 6]], [[1, 1]]]}
  • id: 5223453
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 68, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.b1', 'kernel_order': 4, 'label': '80.20.1s4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[1, 4]], [[1, 6]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 9]], [[1, 9]], [[1, 1]], [[-1, 7]], [[1, 2]], [[-1, 6]], [[-1, 3]], [[-1, 2]], [[-1, 3]], [[1, 2]], [[-1, 1]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 8]], [[1, 3]], [[-1, 1]], [[1, 7]], [[-1, 4]], [[-1, 7]], [[-1, 1]], [[1, 6]], [[-1, 3]], [[1, 6]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 8]], [[-1, 1]], [[1, 3]], [[1, 7]], [[1, 1]], [[-1, 9]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[1, 7]], [[1, 9]], [[-1, 6]], [[1, 9]], [[-1, 3]], [[1, 1]], [[1, 7]], [[1, 3]], [[-1, 4]], [[1, 4]], [[-1, 9]]]}
  • id: 5223454
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 69, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.b1', 'kernel_order': 4, 'label': '80.20.1s5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 2]], [[1, 7]], [[1, 7]], [[1, 3]], [[-1, 1]], [[1, 6]], [[1, 8]], [[-1, 9]], [[-1, 6]], [[-1, 9]], [[1, 6]], [[-1, 3]], [[-1, 7]], [[-1, 7]], [[1, 9]], [[1, 4]], [[1, 9]], [[-1, 3]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 8]], [[-1, 9]], [[-1, 8]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 3]], [[1, 9]], [[1, 1]], [[1, 3]], [[-1, 7]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[1, 1]], [[1, 7]], [[1, 8]], [[1, 7]], [[-1, 9]], [[1, 3]], [[1, 1]], [[1, 9]], [[1, 2]], [[-1, 2]], [[-1, 7]]]}
  • id: 5223456
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 70, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.b1', 'kernel_order': 4, 'label': '80.20.1s6', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[1, 8]], [[1, 2]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 3]], [[-1, 3]], [[-1, 7]], [[1, 9]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[1, 4]], [[1, 1]], [[-1, 4]], [[1, 7]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 6]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[-1, 8]], [[1, 9]], [[1, 7]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 6]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 3]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 9]], [[-1, 3]], [[-1, 2]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[-1, 8]], [[1, 8]], [[1, 3]]]}
  • id: 5223457
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 71, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.b1', 'kernel_order': 4, 'label': '80.20.1s7', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[1, 8]], [[1, 2]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 3]], [[1, 3]], [[1, 7]], [[-1, 9]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 7]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 6]], [[1, 1]], [[-1, 7]], [[1, 9]], [[-1, 8]], [[-1, 9]], [[-1, 7]], [[1, 2]], [[-1, 1]], [[1, 2]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[1, 6]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 3]], [[-1, 6]], [[1, 4]], [[1, 6]], [[1, 9]], [[1, 3]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 9]], [[1, 1]], [[-1, 8]], [[1, 8]], [[-1, 3]]]}
  • id: 5223458
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 72, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.b1', 'kernel_order': 4, 'label': '80.20.1s8', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 7]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[1, 6]], [[1, 8]], [[1, 9]], [[-1, 6]], [[1, 9]], [[1, 6]], [[1, 3]], [[1, 7]], [[1, 7]], [[-1, 9]], [[1, 4]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, 3]], [[-1, 8]], [[1, 9]], [[-1, 8]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 4]], [[1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[1, 7]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[-1, 1]], [[-1, 7]], [[1, 8]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[-1, 1]], [[-1, 9]], [[1, 2]], [[-1, 2]], [[1, 7]]]}
  • id: 5223459
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 73, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 4, 'label': '80.20.1t1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[1, 4]], [[1, 6]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 9]], [[-1, 9]], [[-1, 1]], [[1, 7]], [[-1, 2]], [[1, 6]], [[1, 3]], [[1, 2]], [[1, 3]], [[-1, 2]], [[-1, 1]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 8]], [[1, 3]], [[1, 1]], [[-1, 7]], [[1, 4]], [[-1, 7]], [[1, 1]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 8]], [[-1, 1]], [[1, 3]], [[1, 7]], [[-1, 1]], [[1, 9]], [[-1, 8]], [[1, 2]], [[1, 8]], [[1, 7]], [[1, 9]], [[1, 6]], [[1, 9]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 3]], [[1, 4]], [[-1, 4]], [[1, 9]]]}
  • id: 5223460
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 74, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 4, 'label': '80.20.1t2', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[1, 2]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 1]], [[1, 1]], [[1, 9]], [[-1, 3]], [[1, 8]], [[-1, 4]], [[-1, 7]], [[-1, 8]], [[-1, 7]], [[1, 8]], [[1, 9]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 2]], [[-1, 7]], [[-1, 9]], [[1, 3]], [[-1, 6]], [[1, 3]], [[-1, 9]], [[1, 4]], [[1, 7]], [[1, 4]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[1, 9]], [[-1, 7]], [[-1, 3]], [[1, 9]], [[-1, 1]], [[1, 2]], [[-1, 8]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[1, 3]], [[1, 7]], [[-1, 6]], [[1, 6]], [[-1, 1]]]}
  • id: 5223461
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 75, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 4, 'label': '80.20.1t3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[1, 2]], [[1, 6]], [[-1, 8]], [[1, 6]], [[-1, 1]], [[-1, 1]], [[-1, 9]], [[1, 3]], [[1, 8]], [[-1, 4]], [[1, 7]], [[-1, 8]], [[1, 7]], [[1, 8]], [[-1, 9]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[1, 2]], [[1, 7]], [[1, 9]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[1, 9]], [[1, 4]], [[-1, 7]], [[1, 4]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 9]], [[1, 7]], [[1, 3]], [[-1, 9]], [[1, 1]], [[1, 2]], [[-1, 8]], [[-1, 2]], [[1, 3]], [[1, 1]], [[-1, 4]], [[1, 1]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[-1, 6]], [[1, 6]], [[1, 1]]]}
  • id: 5223462
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 76, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 4, 'label': '80.20.1t4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 4]], [[1, 4]], [[1, 6]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 9]], [[1, 9]], [[1, 1]], [[-1, 7]], [[-1, 2]], [[1, 6]], [[-1, 3]], [[1, 2]], [[-1, 3]], [[-1, 2]], [[1, 1]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 8]], [[-1, 3]], [[-1, 1]], [[1, 7]], [[1, 4]], [[1, 7]], [[-1, 1]], [[-1, 6]], [[1, 3]], [[-1, 6]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 8]], [[1, 1]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[-1, 8]], [[1, 2]], [[1, 8]], [[-1, 7]], [[-1, 9]], [[1, 6]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 3]], [[1, 4]], [[-1, 4]], [[-1, 9]]]}
  • id: 5223463
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 77, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 4, 'label': '80.20.1t5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 4]], [[1, 2]], [[1, 6]], [[1, 2]], [[1, 7]], [[1, 7]], [[1, 3]], [[-1, 1]], [[-1, 6]], [[-1, 8]], [[-1, 9]], [[1, 6]], [[-1, 9]], [[-1, 6]], [[1, 3]], [[1, 7]], [[1, 7]], [[1, 9]], [[-1, 4]], [[-1, 9]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[1, 8]], [[1, 9]], [[1, 8]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, 3]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[-1, 4]], [[1, 6]], [[1, 4]], [[-1, 1]], [[-1, 7]], [[-1, 8]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[1, 1]], [[1, 9]], [[-1, 2]], [[1, 2]], [[-1, 7]]]}
  • id: 5223464
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 78, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 4, 'label': '80.20.1t6', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[1, 8]], [[1, 2]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 3]], [[-1, 3]], [[-1, 7]], [[1, 9]], [[1, 4]], [[1, 2]], [[1, 1]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 7]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 6]], [[1, 1]], [[1, 7]], [[-1, 9]], [[1, 8]], [[-1, 9]], [[1, 7]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[1, 7]], [[1, 9]], [[-1, 9]], [[-1, 6]], [[-1, 7]], [[1, 1]], [[1, 9]], [[-1, 7]], [[1, 3]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[1, 9]], [[1, 3]], [[1, 2]], [[1, 3]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[-1, 1]], [[1, 8]], [[-1, 8]], [[1, 3]]]}
  • id: 5223465
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 79, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 4, 'label': '80.20.1t7', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[1, 8]], [[1, 2]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 3]], [[1, 3]], [[1, 7]], [[-1, 9]], [[1, 4]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[1, 7]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 6]], [[-1, 1]], [[-1, 7]], [[1, 9]], [[1, 8]], [[1, 9]], [[-1, 7]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[-1, 7]], [[-1, 9]], [[1, 9]], [[-1, 6]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[1, 7]], [[-1, 3]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[-1, 9]], [[-1, 3]], [[1, 2]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[1, 9]], [[1, 1]], [[1, 8]], [[-1, 8]], [[-1, 3]]]}
  • id: 5223467
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 80, 'counter': 80, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '80.20', 'group_counter': 20, 'group_order': 80, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.a1.a1', 'kernel_order': 4, 'label': '80.20.1t8', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 4]], [[1, 2]], [[1, 6]], [[1, 2]], [[-1, 7]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 6]], [[-1, 8]], [[1, 9]], [[1, 6]], [[1, 9]], [[-1, 6]], [[-1, 3]], [[-1, 7]], [[-1, 7]], [[-1, 9]], [[-1, 4]], [[1, 9]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[1, 8]], [[-1, 9]], [[1, 8]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 4]], [[-1, 3]], [[1, 9]], [[1, 1]], [[-1, 3]], [[1, 7]], [[-1, 4]], [[1, 6]], [[1, 4]], [[1, 1]], [[1, 7]], [[-1, 8]], [[1, 7]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[-1, 9]], [[-1, 2]], [[1, 2]], [[1, 7]]]}
• 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: 59958071
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 80, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '80.20.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['Z', 'F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 59958082
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '80.20.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': [], 'split': False, '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: 59958093
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '80.20.2.a1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.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': ['C1'], 'split': False, '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: 59958095
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '80.20.2.a1.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 59958096
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 5, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 59958097
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 6, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.4.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 59958098
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 7, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.4.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 59958099
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 8, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.4.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 59958100
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 9, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.4.a1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 59958072
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 10, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.4.a1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 59958073
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 20, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '80.20.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 59958074
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 16, 'counter': 12, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '80.20.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 2}
  • id: 59958075
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 13, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '80.20.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', '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': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 59958076
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '80.20.8.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 59958077
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 15, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '80.20.8.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.c1', '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': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 59958078
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '80.20.10.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': [], '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: 59958079
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '80.20.10.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.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': 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: 59958080
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '80.20.10.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.c1', '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': 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: 59958081
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 5, 'counter': 19, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '80.20.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': True, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 59958083
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 20, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.20.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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59958084
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 21, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.20.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.b1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59958085
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 22, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.20.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.c1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59958086
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 23, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.20.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.d1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59958087
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 24, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.20.a1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.e1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59958088
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 25, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '80.20.20.a1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.f1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59958089
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 4, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '80.20.20.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': '20.5', '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': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59958090
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 27, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '80.20.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.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': 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: 59958091
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 28, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '80.20.40.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.b1', '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': 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: 59958092
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '80.20.40.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.c1', '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': 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: 59958094
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '80.20', 'ambient_counter': 20, 'ambient_order': 80, 'ambient_tex': 'C_4\\times C_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 1, 'counter': 30, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '80.20.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '80.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'PC', 'U1', 'L1', 'D1', 'C5'], '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: 59958071
    {'ambient': '80.20', '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': '1.a1.a1', 'complements': ['80.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.a1.b1', '2.a1.c1', '5.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8333, 8333, 6578, 6578, 6351, 6351, 5998, 5998], 'generators': [1, 16, 2, 20, 40], 'label': '80.20.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.b1', '2.a1.c1', '2.a1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '1.1', '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': '1.1'}
  • id: 59958072
    {'ambient': '80.20', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': ['20.a1.a1', '20.a1.b1', '20.a1.c1', '20.a1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1'], 'contains': ['8.a1.c1', '20.a1.f1'], 'core': '4.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [1693, 1693, 8509, 8509, 946, 946, 9677, 9677], 'generators': [61, 42, 16], 'label': '80.20.4.a1.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.f1', 'normal_contained_in': ['2.a1.c1'], 'normal_contains': ['8.a1.c1', '20.a1.f1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.f1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958073
    {'ambient': '80.20', 'aut_centralizer_order': 16, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.5', 'aut_weyl_index': 16, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.a1.b1', '2.a1.c1'], 'contains': ['8.a1.a1', '8.a1.b1', '8.a1.c1', '20.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5027, 5027, 5827, 5827, 4351, 4351, 3558, 3558], 'generators': [2, 16, 40], 'label': '80.20.4.b1.a1', 'mobius_quo': -2, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.b1', '2.a1.c1', '2.a1.a1'], 'normal_contains': ['8.a1.b1', '8.a1.c1', '8.a1.a1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958074
    {'ambient': '80.20', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.195', 'aut_weyl_index': 4, 'centralizer': '1.a1.a1', 'complements': ['16.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.a1.b1', '10.a1.c1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9286, 9286, 7318, 7318, 8216, 8216, 6571, 6571], 'generators': [1, 20], 'label': '80.20.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.b1', '10.a1.c1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '5.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958075
    {'ambient': '80.20', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '4.1', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1'], 'contains': ['16.a1.a1', '40.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1693, 1693, 4722, 4722, 2541, 2541, 4408, 4408], 'generators': [40, 16], 'label': '80.20.8.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1'], 'normal_contains': ['16.a1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958076
    {'ambient': '80.20', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '4.1', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.c1', '4.a1.d1', '4.b1.a1'], 'contains': ['16.a1.a1', '40.a1.b1'], 'core': '8.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1693, 1693, 1760, 1760, 2541, 2541, 2172, 2172], 'generators': [2, 16], 'label': '80.20.8.a1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.a1.b1', 'normal_contained_in': ['4.a1.c1', '4.a1.d1', '4.b1.a1'], 'normal_contains': ['16.a1.a1', '40.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.b1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958077
    {'ambient': '80.20', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '4.1', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.e1', '4.a1.f1', '4.b1.a1'], 'contains': ['16.a1.a1', '40.a1.c1'], 'core': '8.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [1693, 1693, 8402, 8402, 2541, 2541, 8272, 8272], 'generators': [42, 16], 'label': '80.20.8.a1.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.a1.c1', 'normal_contained_in': ['4.a1.f1', '4.a1.e1', '4.b1.a1'], 'normal_contains': ['16.a1.a1', '40.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.c1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958094
    {'ambient': '80.20', 'aut_centralizer_order': None, 'aut_label': '80.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': ['16.a1.a1', '40.a1.a1', '40.a1.b1', '40.a1.c1'], 'contains': [], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2142, 2142, 4389, 4389, 3622, 3622, 4852, 4852], 'generators': [], 'label': '80.20.80.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.a1.b1', '40.a1.c1', '40.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': '80.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958078
    {'ambient': '80.20', 'aut_centralizer_order': 16, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.a1.b1', '20.b1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7698, 7698, 7028, 7028, 8405, 8405, 6571, 6571], 'generators': [2, 20], 'label': '80.20.10.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.a1.b1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '10.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958079
    {'ambient': '80.20', 'aut_centralizer_order': 16, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '5.a1.a1'], 'contains': ['20.a1.c1', '20.a1.d1', '20.b1.a1'], 'core': '10.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7698, 7698, 2425, 2425, 8405, 8405, 2172, 2172], 'generators': [1, 40], 'label': '80.20.10.a1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.b1', 'normal_contained_in': ['2.a1.b1', '5.a1.a1'], 'normal_contains': ['20.a1.c1', '20.a1.d1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.b1', 'projective_image': '10.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '10.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958080
    {'ambient': '80.20', 'aut_centralizer_order': 16, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1', '5.a1.a1'], 'contains': ['20.a1.e1', '20.a1.f1', '20.b1.a1'], 'core': '10.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7698, 7698, 9710, 9710, 8405, 8405, 7828, 7828], 'generators': [21, 40], 'label': '80.20.10.a1.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.c1', 'normal_contained_in': ['2.a1.c1', '5.a1.a1'], 'normal_contains': ['20.a1.f1', '20.a1.e1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.c1', 'projective_image': '10.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '10.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958081
    {'ambient': '80.20', 'aut_centralizer_order': 96, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.a1.b1', '8.a1.c1'], 'contains': ['80.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [714, 714, 3584, 3584, 2649, 2649, 4464, 4464], 'generators': [16], 'label': '80.20.16.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.b1', '8.a1.c1', '8.a1.a1'], 'normal_contains': ['80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '16.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.20', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958082
    {'ambient': '80.20', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '32.25', 'aut_weyl_index': 12, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '10.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5529, 5529, 5827, 5827, 4703, 4703, 5434, 5434], 'generators': [2, 16, 40, 20], 'label': '80.20.2.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.a1.b1', '4.b1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958083
    {'ambient': '80.20', 'aut_centralizer_order': 32, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': ['4.a1.c1', '4.a1.d1', '4.a1.e1', '4.a1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1'], 'contains': ['40.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3625, 3625, 5580, 5580, 4703, 4703, 5906, 5906], 'generators': [20], 'label': '80.20.20.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '20.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958084
    {'ambient': '80.20', 'aut_centralizer_order': 32, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': ['4.a1.c1', '4.a1.d1', '4.a1.f1', '4.a1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '10.a1.a1'], 'contains': ['40.a1.a1'], 'core': '20.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3625, 3625, 4400, 4400, 4703, 4703, 6571, 6571], 'generators': [22], 'label': '80.20.20.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': ['4.a1.b1', '10.a1.a1'], 'normal_contains': ['40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.b1', 'projective_image': '20.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958085
    {'ambient': '80.20', 'aut_centralizer_order': 32, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': ['4.a1.a1', '4.a1.b1', '4.a1.e1', '4.a1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.c1', '10.a1.b1'], 'contains': ['40.a1.b1'], 'core': '20.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3625, 3625, 1063, 1063, 4703, 4703, 2911, 2911], 'generators': [1], 'label': '80.20.20.a1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1.c1', 'normal_contained_in': ['4.a1.c1', '10.a1.b1'], 'normal_contains': ['40.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.c1', 'projective_image': '20.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958086
    {'ambient': '80.20', 'aut_centralizer_order': 32, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': ['4.a1.a1', '4.a1.b1', '4.a1.f1', '4.a1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.d1', '10.a1.b1'], 'contains': ['40.a1.b1'], 'core': '20.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3625, 3625, 290, 290, 4703, 4703, 1433, 1433], 'generators': [41], 'label': '80.20.20.a1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1.d1', 'normal_contained_in': ['4.a1.d1', '10.a1.b1'], 'normal_contains': ['40.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.d1', 'projective_image': '20.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.a1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958087
    {'ambient': '80.20', 'aut_centralizer_order': 32, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': ['4.a1.a1', '4.a1.b1', '4.a1.d1', '4.a1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.e1', '10.a1.c1'], 'contains': ['40.a1.c1'], 'core': '20.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [3625, 3625, 9710, 9710, 4703, 4703, 7532, 7532], 'generators': [21], 'label': '80.20.20.a1.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1.e1', 'normal_contained_in': ['4.a1.e1', '10.a1.c1'], 'normal_contains': ['40.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.e1', 'projective_image': '20.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.a1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958088
    {'ambient': '80.20', 'aut_centralizer_order': 32, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': ['4.a1.a1', '4.a1.b1', '4.a1.c1', '4.a1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.f1', '10.a1.c1'], 'contains': ['40.a1.c1'], 'core': '20.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [3625, 3625, 8778, 8778, 4703, 4703, 9011, 9011], 'generators': [61], 'label': '80.20.20.a1.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1.f1', 'normal_contained_in': ['4.a1.f1', '10.a1.c1'], 'normal_contains': ['40.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.f1', 'projective_image': '20.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.a1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958089
    {'ambient': '80.20', 'aut_centralizer_order': 64, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.a1.a1', '10.a1.b1', '10.a1.c1'], 'contains': ['40.a1.a1', '40.a1.b1', '40.a1.c1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5662, 5662, 6620, 6620, 6784, 6784, 5194, 5194], 'generators': [2, 40], 'label': '80.20.20.b1.a1', 'mobius_quo': 2, 'mobius_sub': -2, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.b1.a1', '10.a1.b1', '10.a1.c1', '10.a1.a1'], 'normal_contains': ['40.a1.b1', '40.a1.c1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '20.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958090
    {'ambient': '80.20', 'aut_centralizer_order': 128, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1', '20.a1.b1', '20.b1.a1'], 'contains': ['80.a1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3122, 3122, 4989, 4989, 4649, 4649, 5194, 5194], 'generators': [40], 'label': '80.20.40.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.a1.a1', '20.a1.b1', '20.b1.a1'], 'normal_contains': ['80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '40.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958091
    {'ambient': '80.20', 'aut_centralizer_order': 128, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '20.a1.c1', '20.a1.d1', '20.b1.a1'], 'contains': ['80.a1.a1'], 'core': '40.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3122, 3122, 1652, 1652, 4649, 4649, 2911, 2911], 'generators': [2], 'label': '80.20.40.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '40.a1.b1', 'normal_contained_in': ['8.a1.b1', '20.a1.c1', '20.a1.d1', '20.b1.a1'], 'normal_contains': ['80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.b1', 'projective_image': '40.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958092
    {'ambient': '80.20', 'aut_centralizer_order': 128, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.c1', '20.a1.e1', '20.a1.f1', '20.b1.a1'], 'contains': ['80.a1.a1'], 'core': '40.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3122, 3122, 7963, 7963, 4649, 4649, 7532, 7532], 'generators': [42], 'label': '80.20.40.a1.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '40.a1.c1', 'normal_contained_in': ['8.a1.c1', '20.a1.f1', '20.a1.e1', '20.b1.a1'], 'normal_contains': ['80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.c1', 'projective_image': '40.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958093
    {'ambient': '80.20', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '32.25', 'aut_weyl_index': 12, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.c1', '4.a1.d1', '4.b1.a1', '10.a1.b1'], 'core': '2.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5529, 5529, 2436, 2436, 4703, 4703, 2172, 2172], 'generators': [1, 16, 2, 40], 'label': '80.20.2.a1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.c1', '4.a1.d1', '4.b1.a1', '10.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.b1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958095
    {'ambient': '80.20', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '32.25', 'aut_weyl_index': 12, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.e1', '4.a1.f1', '4.b1.a1', '10.a1.c1'], 'core': '2.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5529, 5529, 8509, 8509, 4703, 4703, 7828, 7828], 'generators': [21, 16, 42, 40], 'label': '80.20.2.a1.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.c1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.f1', '4.a1.e1', '4.b1.a1', '10.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.c1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958096
    {'ambient': '80.20', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': ['20.a1.c1', '20.a1.d1', '20.a1.e1', '20.a1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '20.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1693, 1693, 4474, 4474, 946, 946, 4723, 4723], 'generators': [20, 40, 16], 'label': '80.20.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958097
    {'ambient': '80.20', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': ['20.a1.c1', '20.a1.d1', '20.a1.f1', '20.a1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '20.a1.b1'], 'core': '4.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1693, 1693, 3531, 3531, 946, 946, 5536, 5536], 'generators': [22, 40, 16], 'label': '80.20.4.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '20.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.b1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958098
    {'ambient': '80.20', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': ['20.a1.a1', '20.a1.b1', '20.a1.e1', '20.a1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.a1.b1', '20.a1.c1'], 'core': '4.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [1693, 1693, 1760, 1760, 946, 946, 1137, 1137], 'generators': [1, 2, 16], 'label': '80.20.4.a1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.c1', 'normal_contained_in': ['2.a1.b1'], 'normal_contains': ['8.a1.b1', '20.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.c1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958099
    {'ambient': '80.20', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': ['20.a1.a1', '20.a1.b1', '20.a1.f1', '20.a1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.a1.b1', '20.a1.d1'], 'core': '4.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [1693, 1693, 687, 687, 946, 946, 323, 323], 'generators': [41, 2, 16], 'label': '80.20.4.a1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.d1', 'normal_contained_in': ['2.a1.b1'], 'normal_contains': ['8.a1.b1', '20.a1.d1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.d1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59958100
    {'ambient': '80.20', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': ['20.a1.a1', '20.a1.b1', '20.a1.d1', '20.a1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1'], 'contains': ['8.a1.c1', '20.a1.e1'], 'core': '4.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [1693, 1693, 9486, 9486, 946, 946, 8863, 8863], 'generators': [21, 42, 16], 'label': '80.20.4.a1.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.e1', 'normal_contained_in': ['2.a1.c1'], 'normal_contains': ['8.a1.c1', '20.a1.e1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.e1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}