Abstract group data - 6498.m

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• gps_groups •

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

  
  {'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 342, 'aut_gen_orders': [18, 18, 19, 19], 'aut_gens': [[1, 2, 18, 342], [523, 376, 2016, 828], [5249, 6212, 5040, 5130], [2539, 2936, 18, 342], [5293, 4106, 18, 342]], 'aut_group': '116964.i', 'aut_hash': 1212891710756311096, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 116964, 'aut_permdeg': 171, 'aut_perms': [1039386724374649520713876673743552786217543443888196503708332523339632856251124942723488940267635455204426119744790338420316314730909748450046810998632383123310828983040094781337161922693695782596920274634010409514854623383920035184660720650564543759760442853070321422307702939304134239897361234589748646414597, 311854682947226783422979415236241305839754704702446653018585961862471930576132463485978192931388863420442852581597330606397839970834905030880891408809664515595330971260604816781601140885983453230879560913794740915196835644185597759899606718491162296803400202579337185829580861026632200431036835701978580421513, 203281401700178476127294079652138631224777056305401547489499559036422699190307748424060794601115830956682845231524727852715616879974356512100974959892783840349836957918126474680347315950015787740663390483681813264938686433456541629978139155857994639607100280653439089445901705869773860642174638475054976726798, 1145763486295403425321635849704485114387488380519346033038389370337404154257327992432751334816218068376548799356240873273901177955528021846444376570491112646871336376262487432917697883838566828723659734746568160409317441502368504783109627433988212591685118216378047898799254739389798306589215219596387359859251], 'aut_phi_ratio': 57.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 171, 1, 1], [3, 722, 1, 1], [9, 722, 1, 3], [19, 9, 18, 1], [19, 18, 2, 1], [19, 18, 9, 1], [38, 171, 18, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_{19}^2:(C_9\\times D_{18})', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 342, 'autcentquo_group': '116964.i', 'autcentquo_hash': 1212891710756311096, 'autcentquo_nilpotent': False, 'autcentquo_order': 116964, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_{19}^2:(C_9\\times D_{18})', 'cc_stats': [[1, 1, 1], [2, 171, 1], [3, 722, 1], [9, 722, 3], [19, 9, 18], [19, 18, 11], [38, 171, 18]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '6498.m', 'commutator_count': 1, 'commutator_label': '3249.15', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '19.1', '19.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 13, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 171, 1, 1], [3, 722, 1, 1], [9, 722, 3, 1], [19, 9, 18, 1], [19, 18, 2, 1], [19, 18, 9, 1], [38, 171, 18, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 180, 'exponent': 342, 'exponents_of_order': [2, 2, 1], 'factors_of_aut_order': [2, 3, 19], 'factors_of_order': [2, 3, 19], 'faithful_reps': [[9, 0, 36], [18, 0, 2], [18, 1, 9]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '6498.m', 'hash': None, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 342, 'inner_gen_orders': [38, 9, 19, 19], 'inner_gens': [[1, 340, 6300, 3870], [4865, 2, 990, 3078], [559, 5870, 18, 342], [3313, 3764, 18, 342]], 'inner_hash': 2188275780713474934, 'inner_nilpotent': False, 'inner_order': 6498, 'inner_split': True, 'inner_tex': 'C_{19}^2:D_9', 'inner_used': [1, 2], 'irrC_degree': 9, 'irrQ_degree': 36, 'irrQ_dim': 36, 'irrR_degree': 18, 'irrep_stats': [[1, 2], [2, 4], [9, 36], [18, 11]], 'label': '6498.m', 'linC_count': 36, 'linC_degree': 9, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 36, 'linQ_degree_count': 1, 'linQ_dim': 36, 'linQ_dim_count': 1, 'linR_count': 27, 'linR_degree': 18, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C19^2:D9', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 10, 'number_characteristic_subgroups': 5, 'number_conjugacy_classes': 53, 'number_divisions': 8, 'number_normal_subgroups': 5, 'number_subgroup_autclasses': 19, 'number_subgroup_classes': 19, 'number_subgroups': 2630, 'old_label': None, 'order': 6498, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 171], [3, 722], [9, 2166], [19, 360], [38, 3078]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 18, 'outer_gen_orders': [18], 'outer_gen_pows': [0], 'outer_gens': [[1075, 3904, 4518, 5184]], 'outer_group': '18.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 18, 'outer_permdeg': 11, 'outer_perms': [3989739], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_{18}', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 38, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [6, 1], [36, 1], [162, 3]], 'representations': {'PC': {'code': '3855435851509477540077650937891544722449639087', 'gens': [1, 2, 4, 5], 'pres': [5, -2, -3, -3, -19, 19, 10530, 3401, 36, 83342, 126003, 9908, 1813, 96754, 38484, 9989]}, 'Perm': {'d': 38, 'gens': [236744638745043237596536418174214072278461439, 338513300532897801305632202598633190687313440]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_{19}^2:D_9', 'transitive_degree': 38, '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: 176342482
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 13, 'group_order': 6498, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 176342493
    {'aut_label': '2A', 'centralizer': '171.a1.a1', 'counter': 2, 'group_counter': 13, 'group_order': 6498, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 4037, 'size': 171}
  • id: 176342504
    {'aut_label': '3A', 'centralizer': '722.a1.a1', 'counter': 3, 'group_counter': 13, 'group_order': 6498, 'label': '3A', 'order': 3, 'powers': [3, 1, 3], 'representative': 3216, 'size': 722}
  • id: 176342515
    {'aut_label': '9A1', 'centralizer': '722.a1.a1', 'counter': 4, 'group_counter': 13, 'group_order': 6498, 'label': '9A1', 'order': 9, 'powers': [5, 3, 4], 'representative': 70, 'size': 722}
  • id: 176342526
    {'aut_label': '9A2', 'centralizer': '722.a1.a1', 'counter': 5, 'group_counter': 13, 'group_order': 6498, 'label': '9A2', 'order': 9, 'powers': [6, 3, 5], 'representative': 4658, 'size': 722}
  • id: 176342531
    {'aut_label': '9A4', 'centralizer': '722.a1.a1', 'counter': 6, 'group_counter': 13, 'group_order': 6498, 'label': '9A4', 'order': 9, 'powers': [4, 3, 6], 'representative': 2224, 'size': 722}
  • id: 176342532
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 7, 'group_counter': 13, 'group_order': 6498, 'label': '19A1', 'order': 19, 'powers': [9, 11, 1], 'representative': 2178, 'size': 9}
  • id: 176342533
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 8, 'group_counter': 13, 'group_order': 6498, 'label': '19A-1', 'order': 19, 'powers': [10, 12, 1], 'representative': 4662, 'size': 9}
  • id: 176342534
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 9, 'group_counter': 13, 'group_order': 6498, 'label': '19A2', 'order': 19, 'powers': [13, 17, 1], 'representative': 4356, 'size': 9}
  • id: 176342483
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 10, 'group_counter': 13, 'group_order': 6498, 'label': '19A-2', 'order': 19, 'powers': [14, 18, 1], 'representative': 2484, 'size': 9}
  • id: 176342484
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 11, 'group_counter': 13, 'group_order': 6498, 'label': '19A3', 'order': 19, 'powers': [17, 23, 1], 'representative': 6192, 'size': 9}
  • id: 176342485
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 12, 'group_counter': 13, 'group_order': 6498, 'label': '19A-3', 'order': 19, 'powers': [18, 24, 1], 'representative': 648, 'size': 9}
  • id: 176342486
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 13, 'group_counter': 13, 'group_order': 6498, 'label': '19A4', 'order': 19, 'powers': [21, 20, 1], 'representative': 1872, 'size': 9}
  • id: 176342487
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 14, 'group_counter': 13, 'group_order': 6498, 'label': '19A-4', 'order': 19, 'powers': [22, 19, 1], 'representative': 4968, 'size': 9}
  • id: 176342488
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 15, 'group_counter': 13, 'group_order': 6498, 'label': '19A5', 'order': 19, 'powers': [24, 14, 1], 'representative': 4050, 'size': 9}
  • id: 176342489
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 16, 'group_counter': 13, 'group_order': 6498, 'label': '19A-5', 'order': 19, 'powers': [23, 13, 1], 'representative': 2790, 'size': 9}
  • id: 176342490
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 17, 'group_counter': 13, 'group_order': 6498, 'label': '19A6', 'order': 19, 'powers': [20, 8, 1], 'representative': 5886, 'size': 9}
  • id: 176342491
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 18, 'group_counter': 13, 'group_order': 6498, 'label': '19A-6', 'order': 19, 'powers': [19, 7, 1], 'representative': 954, 'size': 9}
  • id: 176342492
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 19, 'group_counter': 13, 'group_order': 6498, 'label': '19A7', 'order': 19, 'powers': [16, 9, 1], 'representative': 1566, 'size': 9}
  • id: 176342494
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 20, 'group_counter': 13, 'group_order': 6498, 'label': '19A-7', 'order': 19, 'powers': [15, 10, 1], 'representative': 5274, 'size': 9}
  • id: 176342495
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 21, 'group_counter': 13, 'group_order': 6498, 'label': '19A8', 'order': 19, 'powers': [12, 15, 1], 'representative': 3744, 'size': 9}
  • id: 176342496
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 22, 'group_counter': 13, 'group_order': 6498, 'label': '19A-8', 'order': 19, 'powers': [11, 16, 1], 'representative': 3096, 'size': 9}
  • id: 176342497
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 23, 'group_counter': 13, 'group_order': 6498, 'label': '19A9', 'order': 19, 'powers': [8, 21, 1], 'representative': 5580, 'size': 9}
  • id: 176342498
    {'aut_label': '19A1', 'centralizer': '9.a1.a1', 'counter': 24, 'group_counter': 13, 'group_order': 6498, 'label': '19A-9', 'order': 19, 'powers': [7, 22, 1], 'representative': 1260, 'size': 9}
  • id: 176342499
    {'aut_label': '19B1', 'centralizer': '18.a1.a1', 'counter': 25, 'group_counter': 13, 'group_order': 6498, 'label': '19B1', 'order': 19, 'powers': [26, 26, 1], 'representative': 342, 'size': 18}
  • id: 176342500
    {'aut_label': '19B1', 'centralizer': '18.a1.a1', 'counter': 26, 'group_counter': 13, 'group_order': 6498, 'label': '19B-1', 'order': 19, 'powers': [25, 25, 1], 'representative': 684, 'size': 18}
  • id: 176342501
    {'aut_label': '19C1', 'centralizer': '18.a1.a1', 'counter': 27, 'group_counter': 13, 'group_order': 6498, 'label': '19C1', 'order': 19, 'powers': [28, 29, 1], 'representative': 18, 'size': 18}
  • id: 176342502
    {'aut_label': '19C1', 'centralizer': '18.a1.a1', 'counter': 28, 'group_counter': 13, 'group_order': 6498, 'label': '19C2', 'order': 19, 'powers': [30, 32, 1], 'representative': 36, 'size': 18}
  • id: 176342503
    {'aut_label': '19C1', 'centralizer': '18.a1.a1', 'counter': 29, 'group_counter': 13, 'group_order': 6498, 'label': '19C3', 'order': 19, 'powers': [32, 35, 1], 'representative': 54, 'size': 18}
  • id: 176342505
    {'aut_label': '19C1', 'centralizer': '18.a1.a1', 'counter': 30, 'group_counter': 13, 'group_order': 6498, 'label': '19C4', 'order': 19, 'powers': [34, 33, 1], 'representative': 72, 'size': 18}
  • id: 176342506
    {'aut_label': '19C1', 'centralizer': '18.a1.a1', 'counter': 31, 'group_counter': 13, 'group_order': 6498, 'label': '19C5', 'order': 19, 'powers': [35, 30, 1], 'representative': 90, 'size': 18}
  • id: 176342507
    {'aut_label': '19C1', 'centralizer': '18.a1.a1', 'counter': 32, 'group_counter': 13, 'group_order': 6498, 'label': '19C6', 'order': 19, 'powers': [33, 27, 1], 'representative': 108, 'size': 18}
  • id: 176342508
    {'aut_label': '19C1', 'centralizer': '18.a1.a1', 'counter': 33, 'group_counter': 13, 'group_order': 6498, 'label': '19C7', 'order': 19, 'powers': [31, 28, 1], 'representative': 126, 'size': 18}
  • id: 176342509
    {'aut_label': '19C1', 'centralizer': '18.a1.a1', 'counter': 34, 'group_counter': 13, 'group_order': 6498, 'label': '19C8', 'order': 19, 'powers': [29, 31, 1], 'representative': 144, 'size': 18}
  • id: 176342510
    {'aut_label': '19C1', 'centralizer': '18.a1.a1', 'counter': 35, 'group_counter': 13, 'group_order': 6498, 'label': '19C9', 'order': 19, 'powers': [27, 34, 1], 'representative': 162, 'size': 18}
  • id: 176342511
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 36, 'group_counter': 13, 'group_order': 6498, 'label': '38A1', 'order': 38, 'powers': [7, 38, 2], 'representative': 4955, 'size': 171}
  • id: 176342512
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 37, 'group_counter': 13, 'group_order': 6498, 'label': '38A-1', 'order': 38, 'powers': [8, 39, 2], 'representative': 2777, 'size': 171}
  • id: 176342513
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 38, 'group_counter': 13, 'group_order': 6498, 'label': '38A3', 'order': 38, 'powers': [11, 44, 2], 'representative': 635, 'size': 171}
  • id: 176342514
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 39, 'group_counter': 13, 'group_order': 6498, 'label': '38A-3', 'order': 38, 'powers': [12, 45, 2], 'representative': 941, 'size': 171}
  • id: 176342516
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 40, 'group_counter': 13, 'group_order': 6498, 'label': '38A5', 'order': 38, 'powers': [15, 50, 2], 'representative': 2471, 'size': 171}
  • id: 176342517
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 41, 'group_counter': 13, 'group_order': 6498, 'label': '38A-5', 'order': 38, 'powers': [16, 51, 2], 'representative': 5261, 'size': 171}
  • id: 176342518
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 42, 'group_counter': 13, 'group_order': 6498, 'label': '38A7', 'order': 38, 'powers': [19, 53, 2], 'representative': 4649, 'size': 171}
  • id: 176342519
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 43, 'group_counter': 13, 'group_order': 6498, 'label': '38A-7', 'order': 38, 'powers': [20, 52, 2], 'representative': 3083, 'size': 171}
  • id: 176342520
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 44, 'group_counter': 13, 'group_order': 6498, 'label': '38A9', 'order': 38, 'powers': [23, 47, 2], 'representative': 329, 'size': 171}
  • id: 176342521
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 45, 'group_counter': 13, 'group_order': 6498, 'label': '38A-9', 'order': 38, 'powers': [24, 46, 2], 'representative': 1247, 'size': 171}
  • id: 176342522
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 46, 'group_counter': 13, 'group_order': 6498, 'label': '38A11', 'order': 38, 'powers': [22, 41, 2], 'representative': 2165, 'size': 171}
  • id: 176342523
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 47, 'group_counter': 13, 'group_order': 6498, 'label': '38A-11', 'order': 38, 'powers': [21, 40, 2], 'representative': 5567, 'size': 171}
  • id: 176342524
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 48, 'group_counter': 13, 'group_order': 6498, 'label': '38A13', 'order': 38, 'powers': [18, 36, 2], 'representative': 4343, 'size': 171}
  • id: 176342525
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 49, 'group_counter': 13, 'group_order': 6498, 'label': '38A-13', 'order': 38, 'powers': [17, 37, 2], 'representative': 3731, 'size': 171}
  • id: 176342527
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 50, 'group_counter': 13, 'group_order': 6498, 'label': '38A15', 'order': 38, 'powers': [14, 42, 2], 'representative': 6179, 'size': 171}
  • id: 176342528
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 51, 'group_counter': 13, 'group_order': 6498, 'label': '38A-15', 'order': 38, 'powers': [13, 43, 2], 'representative': 1553, 'size': 171}
  • id: 176342529
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 52, 'group_counter': 13, 'group_order': 6498, 'label': '38A17', 'order': 38, 'powers': [10, 48, 2], 'representative': 1859, 'size': 171}
  • id: 176342530
    {'aut_label': '38A1', 'centralizer': '171.a1.a1', 'counter': 53, 'group_counter': 13, 'group_order': 6498, 'label': '38A-17', 'order': 38, 'powers': [9, 49, 2], 'representative': 5873, 'size': 171}
• 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: 18450641
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '6498.m', 'group_order': 6498, 'image': None, 'label': '6498.m.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], 'schur_index': 1}
  • id: 18450642
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '6498.m', 'group_order': 6498, 'image': None, 'label': '6498.m.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], 'schur_index': 1}
  • id: 18450643
    {'cdim': 2, 'counter': 3, 'faithful': False, 'group': '6498.m', 'group_order': 6498, 'image': None, 'label': '6498.m.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 0, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18450644
    {'cdim': 2, 'counter': 4, 'faithful': False, 'group': '6498.m', 'group_order': 6498, 'image': None, 'label': '6498.m.2b', 'multiplicity': 3, 'nt': [9, 3], 'qdim': 6, 'qvalues': [6, 0, -3, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18450647
    {'cdim': 18, 'counter': 7, 'faithful': True, 'group': '6498.m', 'group_order': 6498, 'image': None, 'label': '6498.m.18a', 'multiplicity': 2, 'nt': [38, 20], 'qdim': 36, 'qvalues': [36, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 17, 17, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18450645
    {'cdim': 9, 'counter': 5, 'faithful': True, 'group': '6498.m', 'group_order': 6498, 'image': None, 'label': '6498.m.9a', 'multiplicity': 18, 'nt': [171, 0], 'qdim': 162, 'qvalues': [162, 18, 0, 0, 0, 0, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 18450646
    {'cdim': 9, 'counter': 6, 'faithful': True, 'group': '6498.m', 'group_order': 6498, 'image': None, 'label': '6498.m.9b', 'multiplicity': 18, 'nt': [342, 0], 'qdim': 162, 'qvalues': [162, -18, 0, 0, 0, 0, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 18450648
    {'cdim': 18, 'counter': 8, 'faithful': True, 'group': '6498.m', 'group_order': 6498, 'image': None, 'label': '6498.m.18b', 'multiplicity': 9, 'nt': [171, 0], 'qdim': 162, 'qvalues': [162, 0, 0, 0, 0, 0, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 39683158
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 6498, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 6498, 'label': '6498.m.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]]]}
  • id: 39683169
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 6498, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 3249, 'label': '6498.m.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]]]}
  • id: 39683180
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 1083, 'counter': 3, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 1083, 'label': '6498.m.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683191
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 361, 'counter': 4, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '18.1', 'image_order': 18, 'indicator': 1, 'kernel': '18.a1.a1', 'kernel_order': 361, 'label': '6498.m.2b1', 'nt': [9, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683202
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 361, 'counter': 5, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '18.1', 'image_order': 18, 'indicator': 1, 'kernel': '18.a1.a1', 'kernel_order': 361, 'label': '6498.m.2b2', 'nt': [9, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683207
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 361, 'counter': 6, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '18.1', 'image_order': 18, 'indicator': 1, 'kernel': '18.a1.a1', 'kernel_order': 361, 'label': '6498.m.2b3', 'nt': [9, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683208
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 7, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a1', 'nt': [171, 0], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, -9]], [[1, 9]], [[1, -8]], [[1, 8]], [[1, -7]], [[1, 7]], [[1, -6]], [[1, 6]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, 4]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]]]}
  • id: 39683165
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 16, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a10', 'nt': [171, 18], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -7]], [[1, 7]], [[1, 2]], [[1, -2]], [[1, -8]], [[1, 8]], [[1, 1]], [[1, -1]], [[1, -9]], [[1, 9]]]}
  • id: 39683166
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 17, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a11', 'nt': [171, 0], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -5]], [[1, 5]], [[1, -7]], [[1, 7]], [[1, -9]], [[1, 9]], [[1, 8]], [[1, -8]], [[1, 6]], [[1, -6]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]]]}
  • id: 39683167
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 18, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a12', 'nt': [171, 18], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 5]], [[1, -5]], [[1, 7]], [[1, -7]], [[1, 9]], [[1, -9]], [[1, -8]], [[1, 8]], [[1, -6]], [[1, 6]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]]]}
  • id: 39683168
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  • id: 39683170
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 20, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a14', 'nt': [171, 18], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, -8]], [[1, 8]], [[1, -5]], [[1, 5]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, 7]], [[1, -7]], [[1, -9]], [[1, 9]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 3]]]}
  • id: 39683171
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 21, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a15', 'nt': [171, 0], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 6]], [[1, -6]], [[1, -1]], [[1, 1]], [[1, -8]], [[1, 8]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, 3]], [[1, 9]], [[1, -9]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, 5]], [[1, 7]], [[1, -7]]]}
  • id: 39683172
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 22, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a16', 'nt': [171, 18], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, -6]], [[1, 6]], [[1, 1]], [[1, -1]], [[1, 8]], [[1, -8]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, -3]], [[1, -9]], [[1, 9]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, -5]], [[1, -7]], [[1, 7]]]}
  • id: 39683173
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 23, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a17', 'nt': [171, 0], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 2]], [[1, -2]], [[1, 6]], [[1, -6]], [[1, -9]], [[1, 9]], [[1, -5]], [[1, 5]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 7]], [[1, -7]], [[1, -8]], [[1, 8]], [[1, -4]], [[1, 4]]]}
  • id: 39683174
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 24, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a18', 'nt': [171, 18], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, -2]], [[1, 2]], [[1, -6]], [[1, 6]], [[1, 9]], [[1, -9]], [[1, 5]], [[1, -5]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -7]], [[1, 7]], [[1, 8]], [[1, -8]], [[1, 4]], [[1, -4]]]}
  • id: 39683209
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 8, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a2', 'nt': [171, 18], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 9]], [[1, -9]], [[1, 8]], [[1, -8]], [[1, 7]], [[1, -7]], [[1, 6]], [[1, -6]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, -4]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]]]}
  • id: 39683210
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 9, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a3', 'nt': [171, 0], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 7]], [[1, -7]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -8]], [[1, 8]], [[1, 6]], [[1, -6]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -9]], [[1, 9]], [[1, 5]], [[1, -5]]]}
  • id: 39683159
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 10, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a4', 'nt': [171, 18], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, -7]], [[1, 7]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 8]], [[1, -8]], [[1, -6]], [[1, 6]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 9]], [[1, -9]], [[1, -5]], [[1, 5]]]}
  • id: 39683160
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 11, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a5', 'nt': [171, 0], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 4]], [[1, -4]], [[1, -7]], [[1, 7]], [[1, 1]], [[1, -1]], [[1, 9]], [[1, -9]], [[1, -2]], [[1, 2]], [[1, 6]], [[1, -6]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, -3]], [[1, -8]], [[1, 8]]]}
  • id: 39683161
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 12, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a6', 'nt': [171, 18], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, -4]], [[1, 4]], [[1, 7]], [[1, -7]], [[1, -1]], [[1, 1]], [[1, -9]], [[1, 9]], [[1, 2]], [[1, -2]], [[1, -6]], [[1, 6]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, 3]], [[1, 8]], [[1, -8]]]}
  • id: 39683162
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 13, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a7', 'nt': [171, 0], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, -3]], [[1, 3]], [[1, -9]], [[1, 9]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, -8]], [[1, 8]], [[1, 5]], [[1, -5]], [[1, -1]], [[1, 1]], [[1, -7]], [[1, 7]], [[1, 6]], [[1, -6]]]}
  • id: 39683163
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 14, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a8', 'nt': [171, 18], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 3]], [[1, -3]], [[1, 9]], [[1, -9]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, 8]], [[1, -8]], [[1, -5]], [[1, 5]], [[1, 1]], [[1, -1]], [[1, 7]], [[1, -7]], [[1, -6]], [[1, 6]]]}
  • id: 39683164
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 15, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9a9', 'nt': [171, 0], 'q_character': None, 'values': [[[9, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 5]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 7]], [[1, -7]], [[1, -2]], [[1, 2]], [[1, 8]], [[1, -8]], [[1, -1]], [[1, 1]], [[1, 9]], [[1, -9]]]}
  • id: 39683175
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 25, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b1', 'nt': [342, 0], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[-1, -9]], [[-1, 9]], [[-1, -8]], [[-1, 8]], [[-1, -7]], [[-1, 7]], [[-1, -6]], [[-1, 6]], [[-1, -5]], [[-1, 5]], [[-1, -4]], [[-1, 4]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]]]}
  • id: 39683185
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 34, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b10', 'nt': [342, 18], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[-1, -5]], [[-1, 5]], [[-1, 4]], [[-1, -4]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, -7]], [[-1, 7]], [[-1, 2]], [[-1, -2]], [[-1, -8]], [[-1, 8]], [[-1, 1]], [[-1, -1]], [[-1, -9]], [[-1, 9]]]}
  • id: 39683186
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  • id: 39683187
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  • id: 39683188
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  • id: 39683189
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  • id: 39683190
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  • id: 39683192
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 40, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b16', 'nt': [342, 18], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[-1, -6]], [[-1, 6]], [[-1, 1]], [[-1, -1]], [[-1, 8]], [[-1, -8]], [[-1, -4]], [[-1, 4]], [[-1, 3]], [[-1, -3]], [[-1, -9]], [[-1, 9]], [[-1, -2]], [[-1, 2]], [[-1, 5]], [[-1, -5]], [[-1, -7]], [[-1, 7]]]}
  • id: 39683193
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 41, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b17', 'nt': [342, 0], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 6]], [[-1, -6]], [[-1, -9]], [[-1, 9]], [[-1, -5]], [[-1, 5]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, 7]], [[-1, -7]], [[-1, -8]], [[-1, 8]], [[-1, -4]], [[-1, 4]]]}
  • id: 39683194
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 42, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b18', 'nt': [342, 18], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -6]], [[-1, 6]], [[-1, 9]], [[-1, -9]], [[-1, 5]], [[-1, -5]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, -7]], [[-1, 7]], [[-1, 8]], [[-1, -8]], [[-1, 4]], [[-1, -4]]]}
  • id: 39683176
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 26, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b2', 'nt': [342, 18], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[-1, 9]], [[-1, -9]], [[-1, 8]], [[-1, -8]], [[-1, 7]], [[-1, -7]], [[-1, 6]], [[-1, -6]], [[-1, 5]], [[-1, -5]], [[-1, 4]], [[-1, -4]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]]]}
  • id: 39683177
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 27, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b3', 'nt': [342, 0], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[-1, 7]], [[-1, -7]], [[-1, 2]], [[-1, -2]], [[-1, -3]], [[-1, 3]], [[-1, -8]], [[-1, 8]], [[-1, 6]], [[-1, -6]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -9]], [[-1, 9]], [[-1, 5]], [[-1, -5]]]}
  • id: 39683178
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 28, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b4', 'nt': [342, 18], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[-1, -7]], [[-1, 7]], [[-1, -2]], [[-1, 2]], [[-1, 3]], [[-1, -3]], [[-1, 8]], [[-1, -8]], [[-1, -6]], [[-1, 6]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 9]], [[-1, -9]], [[-1, -5]], [[-1, 5]]]}
  • id: 39683179
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 29, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b5', 'nt': [342, 0], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[-1, 4]], [[-1, -4]], [[-1, -7]], [[-1, 7]], [[-1, 1]], [[-1, -1]], [[-1, 9]], [[-1, -9]], [[-1, -2]], [[-1, 2]], [[-1, 6]], [[-1, -6]], [[-1, -5]], [[-1, 5]], [[-1, 3]], [[-1, -3]], [[-1, -8]], [[-1, 8]]]}
  • id: 39683181
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 30, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b6', 'nt': [342, 18], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[-1, -4]], [[-1, 4]], [[-1, 7]], [[-1, -7]], [[-1, -1]], [[-1, 1]], [[-1, -9]], [[-1, 9]], [[-1, 2]], [[-1, -2]], [[-1, -6]], [[-1, 6]], [[-1, 5]], [[-1, -5]], [[-1, -3]], [[-1, 3]], [[-1, 8]], [[-1, -8]]]}
  • id: 39683182
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 31, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b7', 'nt': [342, 0], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -9]], [[-1, 9]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[-1, 2]], [[-1, -8]], [[-1, 8]], [[-1, 5]], [[-1, -5]], [[-1, -1]], [[-1, 1]], [[-1, -7]], [[-1, 7]], [[-1, 6]], [[-1, -6]]]}
  • id: 39683183
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 32, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b8', 'nt': [342, 18], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 9]], [[-1, -9]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[-1, 8]], [[-1, -8]], [[-1, -5]], [[-1, 5]], [[-1, 1]], [[-1, -1]], [[-1, 7]], [[-1, -7]], [[-1, -6]], [[-1, 6]]]}
  • id: 39683184
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 33, 'cyclotomic_n': 19, 'dim': 9, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.9b9', 'nt': [342, 0], 'q_character': None, 'values': [[[9, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [1, -9], [2, -5], [2, -4], [2, -3]], [[2, 3], [2, 4], [2, 5], [1, 9], [2, -7]], [[1, 1], [2, 9], [2, -8], [2, -6], [2, -5]], [[2, 5], [2, 6], [2, 8], [2, -9], [1, -1]], [[2, 2], [2, 4], [2, 7], [2, -9], [1, -8]], [[1, 8], [2, 9], [2, -7], [2, -4], [2, -2]], [[1, 2], [2, 3], [2, 7], [2, 9], [2, -1]], [[2, 1], [2, -9], [2, -7], [2, -3], [1, -2]], [[2, 4], [1, -7], [2, -6], [2, -3], [2, -1]], [[2, 1], [2, 3], [2, 6], [1, 7], [2, -4]], [[2, 1], [1, 3], [2, 4], [2, 8], [2, -5]], [[2, 5], [2, -8], [2, -4], [1, -3], [2, -1]], [[2, 3], [2, -9], [2, -8], [1, -6], [2, -2]], [[2, 2], [1, 6], [2, 8], [2, 9], [2, -3]], [[1, 4], [2, 6], [2, -5], [2, -2], [2, -1]], [[2, 1], [2, 2], [2, 5], [2, -6], [1, -4]], [[2, 2], [2, 6], [2, -8], [2, -7], [1, -5]], [[1, 5], [2, 7], [2, 8], [2, -6], [2, -2]], [[1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[1, 0], [1, 2], [1, 4], [1, 5], [1, 9], [1, -9], [1, -5], [1, -4], [1, -2]], [[1, 0], [1, 1], [1, 4], [1, 8], [1, 9], [1, -9], [1, -8], [1, -4], [1, -1]], [[1, 0], [1, 4], [1, 6], [1, 7], [1, 8], [1, -8], [1, -7], [1, -6], [1, -4]], [[1, 0], [1, 1], [1, 2], [1, 3], [1, 8], [1, -8], [1, -3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 6], [1, 7], [1, 9], [1, -9], [1, -7], [1, -6], [1, -1]], [[1, 0], [1, 3], [1, 5], [1, 7], [1, 8], [1, -8], [1, -7], [1, -5], [1, -3]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 9], [1, -9], [1, -6], [1, -5], [1, -3]], [[1, 0], [1, 2], [1, 3], [1, 4], [1, 6], [1, -6], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 5], [1, 7], [1, -7], [1, -5], [1, -2], [1, -1]], [[-1, 5]], [[-1, -5]], [[-1, -4]], [[-1, 4]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, 7]], [[-1, -7]], [[-1, -2]], [[-1, 2]], [[-1, 8]], [[-1, -8]], [[-1, -1]], [[-1, 1]], [[-1, 9]], [[-1, -9]]]}
  • id: 39683195
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 43, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [5, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18a1', 'nt': [38, 20], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[8, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[9, 0], [1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683196
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 44, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [5, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 0, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18a2', 'nt': [38, 2], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[2, 1], [2, 4], [2, 5], [2, 6], [2, 7], [2, 9], [2, -8], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 4], [-2, 5], [-2, 6], [-2, 7], [-2, 9], [-2, -8], [-2, -3], [-2, -2]], [[9, 0], [1, 1], [1, 4], [1, 5], [1, 6], [1, 7], [1, 9], [1, -8], [1, -3], [1, -2]], [[8, 0], [-1, 1], [-1, 4], [-1, 5], [-1, 6], [-1, 7], [-1, 9], [-1, -8], [-1, -3], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683197
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 45, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 1, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18b1', 'nt': [171, 0], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, 3], [1, 6], [2, 8], [2, 9], [2, -9], [2, -8], [1, -6], [2, -3], [2, -2]], [[-2, 0], [-2, 2], [-2, 5], [-1, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-1, -7], [-2, -5], [-2, -2]], [[-1, 0], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7], [1, 8], [1, 9], [1, -9], [1, -8], [-1, -7], [1, -6], [1, -5], [-1, -4], [-1, -3], [-1, -2]], [[2, 2], [1, 5], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [1, -5], [2, -2]], [[2, 2], [2, 4], [2, 7], [1, 8], [2, 9], [2, -9], [1, -8], [2, -7], [2, -4], [2, -2]], [[-2, 0], [-1, 2], [-2, 4], [-2, 5], [-2, 6], [-2, 8], [-2, -8], [-2, -6], [-2, -5], [-2, -4], [-1, -2]], [[-2, 0], [-2, 3], [-1, 4], [-2, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-2, -7], [-1, -4], [-2, -3]], [[2, 3], [2, 4], [2, 5], [2, 7], [1, 9], [1, -9], [2, -7], [2, -5], [2, -4], [2, -3]], [[-2, 0], [-2, 2], [-1, 3], [-2, 6], [-2, 7], [-2, 9], [-2, -9], [-2, -7], [-2, -6], [-1, -3], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683198
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 46, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 1, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18b2', 'nt': [171, 0], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[-1, 0]], [[-1, 0]], [[2, 3], [2, 4], [2, 5], [2, 7], [1, 9], [1, -9], [2, -7], [2, -5], [2, -4], [2, -3]], [[-1, 0], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7], [1, 8], [1, 9], [1, -9], [1, -8], [-1, -7], [1, -6], [1, -5], [-1, -4], [-1, -3], [-1, -2]], [[2, 2], [2, 4], [2, 7], [1, 8], [2, 9], [2, -9], [1, -8], [2, -7], [2, -4], [2, -2]], [[-2, 0], [-1, 2], [-2, 4], [-2, 5], [-2, 6], [-2, 8], [-2, -8], [-2, -6], [-2, -5], [-2, -4], [-1, -2]], [[-2, 0], [-2, 2], [-2, 5], [-1, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-1, -7], [-2, -5], [-2, -2]], [[-2, 0], [-2, 2], [-1, 3], [-2, 6], [-2, 7], [-2, 9], [-2, -9], [-2, -7], [-2, -6], [-1, -3], [-2, -2]], [[2, 2], [2, 3], [1, 6], [2, 8], [2, 9], [2, -9], [2, -8], [1, -6], [2, -3], [2, -2]], [[-2, 0], [-2, 3], [-1, 4], [-2, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-2, -7], [-1, -4], [-2, -3]], [[2, 2], [1, 5], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [1, -5], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683199
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 47, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 1, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18b3', 'nt': [171, 0], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[-1, 0]], [[-1, 0]], [[-2, 0], [-2, 2], [-2, 5], [-1, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-1, -7], [-2, -5], [-2, -2]], [[2, 2], [1, 5], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [1, -5], [2, -2]], [[-2, 0], [-1, 2], [-2, 4], [-2, 5], [-2, 6], [-2, 8], [-2, -8], [-2, -6], [-2, -5], [-2, -4], [-1, -2]], [[2, 3], [2, 4], [2, 5], [2, 7], [1, 9], [1, -9], [2, -7], [2, -5], [2, -4], [2, -3]], [[-2, 0], [-2, 2], [-1, 3], [-2, 6], [-2, 7], [-2, 9], [-2, -9], [-2, -7], [-2, -6], [-1, -3], [-2, -2]], [[-2, 0], [-2, 3], [-1, 4], [-2, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-2, -7], [-1, -4], [-2, -3]], [[2, 2], [2, 4], [2, 7], [1, 8], [2, 9], [2, -9], [1, -8], [2, -7], [2, -4], [2, -2]], [[-1, 0], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7], [1, 8], [1, 9], [1, -9], [1, -8], [-1, -7], [1, -6], [1, -5], [-1, -4], [-1, -3], [-1, -2]], [[2, 2], [2, 3], [1, 6], [2, 8], [2, 9], [2, -9], [2, -8], [1, -6], [2, -3], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683200
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 48, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 1, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18b4', 'nt': [171, 0], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[-1, 0]], [[-1, 0]], [[2, 2], [1, 5], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [1, -5], [2, -2]], [[2, 3], [2, 4], [2, 5], [2, 7], [1, 9], [1, -9], [2, -7], [2, -5], [2, -4], [2, -3]], [[-2, 0], [-2, 3], [-1, 4], [-2, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-2, -7], [-1, -4], [-2, -3]], [[-1, 0], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7], [1, 8], [1, 9], [1, -9], [1, -8], [-1, -7], [1, -6], [1, -5], [-1, -4], [-1, -3], [-1, -2]], [[2, 2], [2, 3], [1, 6], [2, 8], [2, 9], [2, -9], [2, -8], [1, -6], [2, -3], [2, -2]], [[2, 2], [2, 4], [2, 7], [1, 8], [2, 9], [2, -9], [1, -8], [2, -7], [2, -4], [2, -2]], [[-2, 0], [-2, 2], [-1, 3], [-2, 6], [-2, 7], [-2, 9], [-2, -9], [-2, -7], [-2, -6], [-1, -3], [-2, -2]], [[-2, 0], [-1, 2], [-2, 4], [-2, 5], [-2, 6], [-2, 8], [-2, -8], [-2, -6], [-2, -5], [-2, -4], [-1, -2]], [[-2, 0], [-2, 2], [-2, 5], [-1, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-1, -7], [-2, -5], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683201
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 49, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 1, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18b5', 'nt': [171, 0], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[-1, 0]], [[-1, 0]], [[-2, 0], [-2, 3], [-1, 4], [-2, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-2, -7], [-1, -4], [-2, -3]], [[2, 2], [2, 4], [2, 7], [1, 8], [2, 9], [2, -9], [1, -8], [2, -7], [2, -4], [2, -2]], [[-2, 0], [-2, 2], [-2, 5], [-1, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-1, -7], [-2, -5], [-2, -2]], [[-2, 0], [-2, 2], [-1, 3], [-2, 6], [-2, 7], [-2, 9], [-2, -9], [-2, -7], [-2, -6], [-1, -3], [-2, -2]], [[-1, 0], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7], [1, 8], [1, 9], [1, -9], [1, -8], [-1, -7], [1, -6], [1, -5], [-1, -4], [-1, -3], [-1, -2]], [[2, 2], [1, 5], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [1, -5], [2, -2]], [[2, 3], [2, 4], [2, 5], [2, 7], [1, 9], [1, -9], [2, -7], [2, -5], [2, -4], [2, -3]], [[2, 2], [2, 3], [1, 6], [2, 8], [2, 9], [2, -9], [2, -8], [1, -6], [2, -3], [2, -2]], [[-2, 0], [-1, 2], [-2, 4], [-2, 5], [-2, 6], [-2, 8], [-2, -8], [-2, -6], [-2, -5], [-2, -4], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683203
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 50, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 1, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18b6', 'nt': [171, 0], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[-1, 0]], [[-1, 0]], [[-2, 0], [-1, 2], [-2, 4], [-2, 5], [-2, 6], [-2, 8], [-2, -8], [-2, -6], [-2, -5], [-2, -4], [-1, -2]], [[-2, 0], [-2, 3], [-1, 4], [-2, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-2, -7], [-1, -4], [-2, -3]], [[2, 2], [2, 3], [1, 6], [2, 8], [2, 9], [2, -9], [2, -8], [1, -6], [2, -3], [2, -2]], [[2, 2], [2, 4], [2, 7], [1, 8], [2, 9], [2, -9], [1, -8], [2, -7], [2, -4], [2, -2]], [[2, 3], [2, 4], [2, 5], [2, 7], [1, 9], [1, -9], [2, -7], [2, -5], [2, -4], [2, -3]], [[-2, 0], [-2, 2], [-2, 5], [-1, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-1, -7], [-2, -5], [-2, -2]], [[2, 2], [1, 5], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [1, -5], [2, -2]], [[-2, 0], [-2, 2], [-1, 3], [-2, 6], [-2, 7], [-2, 9], [-2, -9], [-2, -7], [-2, -6], [-1, -3], [-2, -2]], [[-1, 0], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7], [1, 8], [1, 9], [1, -9], [1, -8], [-1, -7], [1, -6], [1, -5], [-1, -4], [-1, -3], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683204
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 51, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 1, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18b7', 'nt': [171, 0], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7], [1, 8], [1, 9], [1, -9], [1, -8], [-1, -7], [1, -6], [1, -5], [-1, -4], [-1, -3], [-1, -2]], [[-2, 0], [-1, 2], [-2, 4], [-2, 5], [-2, 6], [-2, 8], [-2, -8], [-2, -6], [-2, -5], [-2, -4], [-1, -2]], [[-2, 0], [-2, 2], [-1, 3], [-2, 6], [-2, 7], [-2, 9], [-2, -9], [-2, -7], [-2, -6], [-1, -3], [-2, -2]], [[-2, 0], [-2, 3], [-1, 4], [-2, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-2, -7], [-1, -4], [-2, -3]], [[2, 2], [1, 5], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [1, -5], [2, -2]], [[2, 2], [2, 3], [1, 6], [2, 8], [2, 9], [2, -9], [2, -8], [1, -6], [2, -3], [2, -2]], [[-2, 0], [-2, 2], [-2, 5], [-1, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-1, -7], [-2, -5], [-2, -2]], [[2, 2], [2, 4], [2, 7], [1, 8], [2, 9], [2, -9], [1, -8], [2, -7], [2, -4], [2, -2]], [[2, 3], [2, 4], [2, 5], [2, 7], [1, 9], [1, -9], [2, -7], [2, -5], [2, -4], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683205
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 52, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 1, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18b8', 'nt': [171, 0], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[-1, 0]], [[-1, 0]], [[-2, 0], [-2, 2], [-1, 3], [-2, 6], [-2, 7], [-2, 9], [-2, -9], [-2, -7], [-2, -6], [-1, -3], [-2, -2]], [[2, 2], [2, 3], [1, 6], [2, 8], [2, 9], [2, -9], [2, -8], [1, -6], [2, -3], [2, -2]], [[2, 3], [2, 4], [2, 5], [2, 7], [1, 9], [1, -9], [2, -7], [2, -5], [2, -4], [2, -3]], [[-2, 0], [-2, 2], [-2, 5], [-1, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-1, -7], [-2, -5], [-2, -2]], [[-2, 0], [-2, 3], [-1, 4], [-2, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-2, -7], [-1, -4], [-2, -3]], [[-1, 0], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7], [1, 8], [1, 9], [1, -9], [1, -8], [-1, -7], [1, -6], [1, -5], [-1, -4], [-1, -3], [-1, -2]], [[-2, 0], [-1, 2], [-2, 4], [-2, 5], [-2, 6], [-2, 8], [-2, -8], [-2, -6], [-2, -5], [-2, -4], [-1, -2]], [[2, 2], [1, 5], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [1, -5], [2, -2]], [[2, 2], [2, 4], [2, 7], [1, 8], [2, 9], [2, -9], [1, -8], [2, -7], [2, -4], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39683206
    {'center': '6498.a1.a1', 'center_index': 6498, 'center_order': 1, 'counter': 53, 'cyclotomic_n': 19, 'dim': 18, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '6498.m', 'group_counter': 13, 'group_order': 6498, 'image': None, 'image_isoclass': '6498.m', 'image_order': 6498, 'indicator': 1, 'kernel': '6498.a1.a1', 'kernel_order': 1, 'label': '6498.m.18b9', 'nt': [171, 0], 'q_character': None, 'values': [[[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 3], [2, 8], [2, -8], [2, -3], [2, -2], [2, -1]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 2], [2, 3], [2, 4], [2, 6], [2, -6], [2, -4], [2, -3], [2, -2]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 6], [2, 9], [2, -9], [2, -6], [2, -5], [2, -3]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 4], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [2, -4]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 2], [2, 4], [2, 5], [2, 9], [2, -9], [2, -5], [2, -4], [2, -2]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 6], [2, 7], [2, 9], [2, -9], [2, -7], [2, -6], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 1], [2, 2], [2, 5], [2, 7], [2, -7], [2, -5], [2, -2], [2, -1]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 3], [2, 5], [2, 7], [2, 8], [2, -8], [2, -7], [2, -5], [2, -3]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[2, 0], [2, 1], [2, 4], [2, 8], [2, 9], [2, -9], [2, -8], [2, -4], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, 4], [2, 7], [1, 8], [2, 9], [2, -9], [1, -8], [2, -7], [2, -4], [2, -2]], [[-2, 0], [-2, 2], [-1, 3], [-2, 6], [-2, 7], [-2, 9], [-2, -9], [-2, -7], [-2, -6], [-1, -3], [-2, -2]], [[2, 2], [1, 5], [2, 6], [2, 7], [2, 8], [2, -8], [2, -7], [2, -6], [1, -5], [2, -2]], [[2, 2], [2, 3], [1, 6], [2, 8], [2, 9], [2, -9], [2, -8], [1, -6], [2, -3], [2, -2]], [[-2, 0], [-1, 2], [-2, 4], [-2, 5], [-2, 6], [-2, 8], [-2, -8], [-2, -6], [-2, -5], [-2, -4], [-1, -2]], [[2, 3], [2, 4], [2, 5], [2, 7], [1, 9], [1, -9], [2, -7], [2, -5], [2, -4], [2, -3]], [[-1, 0], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7], [1, 8], [1, 9], [1, -9], [1, -8], [-1, -7], [1, -6], [1, -5], [-1, -4], [-1, -3], [-1, -2]], [[-2, 0], [-2, 2], [-2, 5], [-1, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-1, -7], [-2, -5], [-2, -2]], [[-2, 0], [-2, 3], [-1, 4], [-2, 7], [-2, 8], [-2, 9], [-2, -9], [-2, -8], [-2, -7], [-1, -4], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• 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: 273021244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 6498, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 114, 'label': '6498.m.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': None, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6498.m', 'subgroup_hash': 2188275780713474934, 'subgroup_order': 6498, 'subgroup_tex': 'C_{19}^2:D_9', 'supersolvable': False, 'sylow': 0}
  • id: 273021255
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 3249, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 57, 'label': '6498.m.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': None, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3249.15', 'subgroup_hash': 15, 'subgroup_order': 3249, 'subgroup_tex': 'C_{19}^2:C_9', 'supersolvable': True, 'sylow': 0}
  • id: 273021256
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1083, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6498.m.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2166.11', 'subgroup_hash': 11, 'subgroup_order': 2166, 'subgroup_tex': 'C_{19}^2:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 273021257
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 1083, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '6498.m.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': None, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1083.5', 'subgroup_hash': 5, 'subgroup_order': 1083, 'subgroup_tex': 'C_{19}^2:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 273021258
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 19, 'characteristic': False, 'core_order': 361, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 38, 'label': '6498.m.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '722.3', 'subgroup_hash': 3, 'subgroup_order': 722, 'subgroup_tex': 'C_{19}\\times D_{19}', 'supersolvable': True, 'sylow': 0}
  • id: 273021259
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 361, 'characteristic': True, 'core_order': 361, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 19, 'label': '6498.m.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': None, 'quotient_tex': 'D_9', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S', 'D2', 'C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '361.2', 'subgroup_hash': 2, 'subgroup_order': 361, 'subgroup_tex': 'C_{19}^2', 'supersolvable': True, 'sylow': 19}
  • id: 273021260
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6498.m.38.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '38.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 38, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171.3', 'subgroup_hash': 3, 'subgroup_order': 171, 'subgroup_tex': 'C_{19}:C_9', 'supersolvable': True, 'sylow': 0}
  • id: 273021261
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6498.m.114.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '114.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 114, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '57.1', 'subgroup_hash': 1, 'subgroup_order': 57, 'subgroup_tex': 'C_{19}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 273021262
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 38, 'characteristic': False, 'core_order': 1, 'counter': 9, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '6498.m.171.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '171.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 171, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '38.2', 'subgroup_hash': 2, 'subgroup_order': 38, 'subgroup_tex': 'C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 273021245
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 19, 'characteristic': False, 'core_order': 1, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6498.m.171.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '171.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 171, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '38.1', 'subgroup_hash': 1, 'subgroup_order': 38, 'subgroup_tex': 'D_{19}', 'supersolvable': True, 'sylow': 0}
  • id: 273021246
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 722, 'characteristic': False, 'core_order': 1, 'counter': 11, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '6498.m.342.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '342.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 342, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '19.1', 'subgroup_hash': 1, 'subgroup_order': 19, 'subgroup_tex': 'C_{19}', 'supersolvable': True, 'sylow': 0}
  • id: 273021247
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 361, 'characteristic': False, 'core_order': 1, 'counter': 12, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '6498.m.342.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '342.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 342, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '19.1', 'subgroup_hash': 1, 'subgroup_order': 19, 'subgroup_tex': 'C_{19}', 'supersolvable': True, 'sylow': 0}
  • id: 273021248
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 361, 'characteristic': False, 'core_order': 1, 'counter': 13, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '6498.m.342.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '342.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 342, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '19.1', 'subgroup_hash': 1, 'subgroup_order': 19, 'subgroup_tex': 'C_{19}', 'supersolvable': True, 'sylow': 0}
  • id: 273021249
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '6498.m.361.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '361.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 361, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 273021250
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 15, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '6498.m.722.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '722.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 722, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 3}
  • id: 273021251
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6498.m.1083.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1083.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1083, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 273021252
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 17, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '6498.m.2166.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2166.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2166, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 273021253
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': False, 'central_factor': False, 'centralizer_order': 38, 'characteristic': False, 'core_order': 1, 'counter': 18, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '6498.m.3249.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3249.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3249, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
  • id: 273021254
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '6498.m', 'ambient_counter': 13, 'ambient_order': 6498, 'ambient_tex': 'C_{19}^2:D_9', 'central': True, 'central_factor': False, 'centralizer_order': 6498, 'characteristic': True, 'core_order': 1, 'counter': 19, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '6498.m.6498.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6498.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '6498.m', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2188275780713474934, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6498, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': None, 'quotient_tex': 'C_{19}^2:D_9', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'Phi', 'PC', 'U0', 'D3', 'C4'], '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: 273021244
    {'ambient': '6498.m', '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': '6498.a1.a1', 'complements': ['6498.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '3.a1.a1', '361.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8219, 5000, 6689, 5000, 3138, 5000, 3140, 5000], 'generators': [5490, 342, 4542, 1856, 1099], 'label': '6498.m.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '6498.m', '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': None}
  • id: 273021245
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '171.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '342.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1'], 'contains': ['342.c1.a1', '3249.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2164, -1, 693, -1, 9396, -1, 7889, -1], 'generators': [3079, 2754], 'label': '6498.m.171.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '171.b1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '171.b1.a1', 'subgroup_fusion': None, 'weyl_group': '38.1'}
  • id: 273021246
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '342.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '171.a1.a1'], 'contains': ['6498.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2635, -1, 4190, -1, 6352, -1, 9081, -1], 'generators': [5490], 'label': '6498.m.342.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '342.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '342.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 273021247
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '342.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '18.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '114.a1.a1'], 'contains': ['6498.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6370, -1, 5909, -1, 4855, -1, 4860, -1], 'generators': [342], 'label': '6498.m.342.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '342.b1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '342.b1.a1', 'subgroup_fusion': None, 'weyl_group': '9.1'}
  • id: 273021248
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '342.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '18.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '171.b1.a1'], 'contains': ['6498.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4171, -1, 2471, -1, 9073, -1, 6357, -1], 'generators': [2754], 'label': '6498.m.342.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '342.c1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '342.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 273021249
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '361.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6498.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['722.a1.a1', '1083.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 361, 'diagramx': [9389, -1, 9307, -1, 3002, -1, 3004, -1], 'generators': [3079, 5474, 4110], 'label': '6498.m.361.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '361.a1.a1', 'old_label': '361.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '361.a1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 273021250
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '722.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '722.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['38.a1.a1', '361.a1.a1'], 'contains': ['2166.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 361, 'diagramx': [8429, -1, 8233, -1, 1386, -1, 1387, -1], 'generators': [1628], 'label': '6498.m.722.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '361.a1.a1', 'old_label': '722.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '722.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 273021251
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '1083.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6498.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '361.a1.a1'], 'contains': ['2166.a1.a1', '3249.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 1083, 'diagramx': [6510, -1, 4834, -1, 4651, -1, 4655, -1], 'generators': [3079, 4110], 'label': '6498.m.1083.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1083.a1.a1', 'old_label': '1083.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1083.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 273021252
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '2166.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '722.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['114.a1.a1', '722.a1.a1', '1083.a1.a1'], 'contains': ['6498.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 361, 'diagramx': [7330, -1, 7060, -1, 3342, -1, 3345, -1], 'generators': [1482], 'label': '6498.m.2166.a1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '361.a1.a1', 'old_label': '2166.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2166.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 273021253
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '3249.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '171.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['171.a1.a1', '171.b1.a1', '1083.a1.a1'], 'contains': ['6498.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 171, 'diagramx': [1797, -1, 1416, -1, 7713, -1, 7719, -1], 'generators': [3079], 'label': '6498.m.3249.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '171.a1.a1', 'old_label': '3249.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3249.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 273021254
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '6498.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': ['342.a1.a1', '342.b1.a1', '342.c1.a1', '2166.a1.a1', '3249.a1.a1'], 'contains': [], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4171, 5000, 3760, 5000, 6352, 5000, 6357, 5000], 'generators': [], 'label': '6498.m.6498.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '6498.a1.a1', 'normal_contained_in': ['18.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '6498.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6498.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 273021255
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6498.a1.a1', 'complements': ['3249.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '38.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8219, 5000, 6689, 5000, 1624, 5000, 1626, 5000], 'generators': [1628, 2796, 342, 2070], 'label': '6498.m.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273021256
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6498.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '9.a1.a1', '1083.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5497, -1, 3311, -1, 5553, -1, 5557, -1], 'generators': [1099, 4542, 342, 1044], 'label': '6498.m.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2166.11'}
  • id: 273021257
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6498.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['18.a1.a1', '114.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6823, 5000, 5283, 5000, 4804, 5000, 4809, 5000], 'generators': [1482, 1044, 342], 'label': '6498.m.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['18.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273021258
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '342.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['18.a1.a1', '171.a1.a1', '171.b1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2879, -1, 2763, -1, 8172, -1, 8179, -1], 'generators': [1099, 342, 2754], 'label': '6498.m.9.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '9.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '38.1'}
  • id: 273021259
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '18.a1.a1', 'complements': ['361.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '9.a1.a1'], 'contains': ['342.a1.a1', '342.b1.a1', '342.c1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3944, 5000, 4404, 5000, 6199, 5000, 6204, 5000], 'generators': [2754, 342], 'label': '6498.m.18.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': ['6.a1.a1'], 'normal_contains': ['6498.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': '18.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 273021260
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '38.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6498.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['114.a1.a1', '722.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': '38T20', 'count': 38, 'diagramx': [8376, -1, 7725, -1, 1114, -1, 1115, -1], 'generators': [1628, 2796, 342], 'label': '6498.m.38.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '38.a1.a1', 'old_label': '38.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '38.a1.a1', 'subgroup_fusion': None, 'weyl_group': '171.3'}
  • id: 273021261
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '114.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6498.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '38.a1.a1'], 'contains': ['342.b1.a1', '2166.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 38, 'diagramx': [6893, -1, 6689, -1, 3019, -1, 3021, -1], 'generators': [1482, 342], 'label': '6498.m.114.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '38.a1.a1', 'old_label': '114.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '114.a1.a1', 'subgroup_fusion': None, 'weyl_group': '171.3'}
  • id: 273021262
    {'ambient': '6498.m', 'aut_centralizer_order': None, 'aut_label': '171.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '171.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1'], 'contains': ['342.a1.a1', '3249.a1.a1'], 'core': '6498.a1.a1', 'coset_action_label': None, 'count': 171, 'diagramx': [611, -1, 2432, -1, 7883, -1, 9404, -1], 'generators': [1099, 702], 'label': '6498.m.171.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '171.a1.a1', 'old_label': '171.a1.a1', 'projective_image': '6498.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '171.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}