Abstract group data - 900.131

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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': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 120, 'aut_gen_orders': [12, 12, 8, 60], 'aut_gens': [[1, 2, 4, 60], [733, 122, 656, 780], [361, 343, 880, 324], [541, 282, 328, 740], [757, 142, 44, 780]], 'aut_group': None, 'aut_hash': 2436627162132881625, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 345600, 'aut_permdeg': 90, 'aut_perms': [1317905993949449910595619579072711277353925821947402462258111618689098790614008122274708605306091730288780453792046726394595432097576765148, 1269567077681077699560137000948903663775642455131507690020963826412852985773859619641014997948047447771572393999517114689740433731455492806, 411907624817898892856726234153072531424231865265091162739970789103174503127107609169219617767980292552542683555021161260427483622621627787, 113116181324502536131239890590033757356086697392372493528661673651499081716327326725139190557286505778793158098015797064719646117818810003], 'aut_phi_ratio': 1440.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 25, 1, 1], [2, 45, 2, 1], [3, 2, 4, 1], [5, 2, 4, 1], [5, 4, 4, 1], [6, 50, 4, 1], [10, 90, 4, 1], [15, 4, 16, 1], [15, 4, 32, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3:S_3.C_{10}^2.C_{12}.C_4.C_2^2', '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': 120, 'autcentquo_group': None, 'autcentquo_hash': 2436627162132881625, 'autcentquo_nilpotent': False, 'autcentquo_order': 345600, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3:S_3.C_{10}^2.C_{12}.C_4.C_2^2', 'cc_stats': [[1, 1, 1], [2, 25, 1], [2, 45, 2], [3, 2, 4], [5, 2, 4], [5, 4, 4], [6, 50, 4], [10, 90, 4], [15, 4, 48]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '900.131', 'commutator_count': 1, 'commutator_label': '225.6', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '5.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 131, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 25, 1, 1], [2, 45, 1, 2], [3, 2, 1, 4], [5, 2, 2, 2], [5, 4, 2, 2], [6, 50, 1, 4], [10, 90, 2, 2], [15, 4, 2, 8], [15, 4, 4, 8]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 756, 'exponent': 30, 'exponents_of_order': [2, 2, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '900.131', 'hash': 131, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [2, 2, 15, 15], 'inner_gens': [[1, 2, 16, 240], [1, 2, 44, 840], [49, 22, 4, 60], [721, 122, 4, 60]], 'inner_hash': 131, 'inner_nilpotent': False, 'inner_order': 900, 'inner_split': False, 'inner_tex': 'C_{15}^2:C_2^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 4], [2, 16], [4, 52]], 'label': '900.131', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C15^2:C2^2', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 7, 'number_conjugacy_classes': 72, 'number_divisions': 34, 'number_normal_subgroups': 35, 'number_subgroup_autclasses': 45, 'number_subgroup_classes': 144, 'number_subgroups': 1704, 'old_label': None, 'order': 900, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 115], [3, 8], [5, 24], [6, 200], [10, 360], [15, 192]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [2, 4, 12, 4, 4], 'outer_gen_pows': [1, 20, 1, 0, 0], 'outer_gens': [[1, 2, 32, 780], [1, 42, 16, 780], [1, 3, 80, 312], [1, 2, 356, 80], [1, 302, 324, 580]], 'outer_group': '384.17956', 'outer_hash': 17956, 'outer_nilpotent': False, 'outer_order': 384, 'outer_permdeg': 20, 'outer_perms': [391972776938433487, 140894329609637281, 1778137698400697542, 1419396445699562280, 392035728778339080], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': '\\GL(2,3):D_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 8], [4, 4], [8, 10], [16, 8]], 'representations': {'PC': {'code': 5565290102957731138397953480015991, 'gens': [1, 2, 3, 5], 'pres': [6, -2, -2, -3, -5, -3, -5, 290, 404, 68, 1155, 7204, 12610, 118, 25925, 12971]}, 'Perm': {'d': 16, 'gens': [87657655681, 87657293544, 3, 3991683, 1482509952000, 6504]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{15}^2:C_2^2', 'transitive_degree': 90, '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: 142117410
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 131, 'group_order': 900, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 142117421
    {'aut_label': '2A', 'centralizer': '25.a1', 'counter': 2, 'group_counter': 131, 'group_order': 900, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 217, 'size': 25}
  • id: 142117432
    {'aut_label': '2B', 'centralizer': '45.a1', 'counter': 3, 'group_counter': 131, 'group_order': 900, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 122, 'size': 45}
  • id: 142117443
    {'aut_label': '2B', 'centralizer': '45.a1', 'counter': 4, 'group_counter': 131, 'group_order': 900, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 327, 'size': 45}
  • id: 142117454
    {'aut_label': '3A', 'centralizer': '2.a1', 'counter': 5, 'group_counter': 131, 'group_order': 900, 'label': '3A', 'order': 3, 'powers': [5, 1, 5], 'representative': 300, 'size': 2}
  • id: 142117465
    {'aut_label': '3A', 'centralizer': '2.a1', 'counter': 6, 'group_counter': 131, 'group_order': 900, 'label': '3B', 'order': 3, 'powers': [6, 1, 6], 'representative': 20, 'size': 2}
  • id: 142117476
    {'aut_label': '3A', 'centralizer': '2.a1', 'counter': 7, 'group_counter': 131, 'group_order': 900, 'label': '3C', 'order': 3, 'powers': [7, 1, 7], 'representative': 620, 'size': 2}
  • id: 142117480
    {'aut_label': '3A', 'centralizer': '2.a1', 'counter': 8, 'group_counter': 131, 'group_order': 900, 'label': '3D', 'order': 3, 'powers': [8, 1, 8], 'representative': 320, 'size': 2}
  • id: 142117481
    {'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 9, 'group_counter': 131, 'group_order': 900, 'label': '5A1', 'order': 5, 'powers': [10, 10, 1], 'representative': 180, 'size': 2}
  • id: 142117411
    {'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 10, 'group_counter': 131, 'group_order': 900, 'label': '5A2', 'order': 5, 'powers': [9, 9, 1], 'representative': 360, 'size': 2}
  • id: 142117412
    {'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 11, 'group_counter': 131, 'group_order': 900, 'label': '5B1', 'order': 5, 'powers': [12, 12, 1], 'representative': 12, 'size': 2}
  • id: 142117413
    {'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 12, 'group_counter': 131, 'group_order': 900, 'label': '5B2', 'order': 5, 'powers': [11, 11, 1], 'representative': 24, 'size': 2}
  • id: 142117414
    {'aut_label': '5C1', 'centralizer': '4.a1', 'counter': 13, 'group_counter': 131, 'group_order': 900, 'label': '5C1', 'order': 5, 'powers': [14, 14, 1], 'representative': 216, 'size': 4}
  • id: 142117415
    {'aut_label': '5C1', 'centralizer': '4.a1', 'counter': 14, 'group_counter': 131, 'group_order': 900, 'label': '5C2', 'order': 5, 'powers': [13, 13, 1], 'representative': 372, 'size': 4}
  • id: 142117416
    {'aut_label': '5C1', 'centralizer': '4.a1', 'counter': 15, 'group_counter': 131, 'group_order': 900, 'label': '5D1', 'order': 5, 'powers': [16, 16, 1], 'representative': 192, 'size': 4}
  • id: 142117417
    {'aut_label': '5C1', 'centralizer': '4.a1', 'counter': 16, 'group_counter': 131, 'group_order': 900, 'label': '5D2', 'order': 5, 'powers': [15, 15, 1], 'representative': 384, 'size': 4}
  • id: 142117418
    {'aut_label': '6A', 'centralizer': '50.a1', 'counter': 17, 'group_counter': 131, 'group_order': 900, 'label': '6A', 'order': 6, 'powers': [5, 2, 17], 'representative': 817, 'size': 50}
  • id: 142117419
    {'aut_label': '6A', 'centralizer': '50.a1', 'counter': 18, 'group_counter': 131, 'group_order': 900, 'label': '6B', 'order': 6, 'powers': [7, 2, 18], 'representative': 341, 'size': 50}
  • id: 142117420
    {'aut_label': '6A', 'centralizer': '50.a1', 'counter': 19, 'group_counter': 131, 'group_order': 900, 'label': '6C', 'order': 6, 'powers': [8, 2, 19], 'representative': 449, 'size': 50}
  • id: 142117422
    {'aut_label': '6A', 'centralizer': '50.a1', 'counter': 20, 'group_counter': 131, 'group_order': 900, 'label': '6D', 'order': 6, 'powers': [6, 2, 20], 'representative': 225, 'size': 50}
  • id: 142117423
    {'aut_label': '10A1', 'centralizer': '90.c1', 'counter': 21, 'group_counter': 131, 'group_order': 900, 'label': '10A1', 'order': 10, 'powers': [12, 22, 3], 'representative': 134, 'size': 90}
  • id: 142117424
    {'aut_label': '10A1', 'centralizer': '90.c1', 'counter': 22, 'group_counter': 131, 'group_order': 900, 'label': '10A3', 'order': 10, 'powers': [11, 21, 3], 'representative': 158, 'size': 90}
  • id: 142117425
    {'aut_label': '10A1', 'centralizer': '90.c1', 'counter': 23, 'group_counter': 131, 'group_order': 900, 'label': '10B1', 'order': 10, 'powers': [10, 24, 4], 'representative': 147, 'size': 90}
  • id: 142117426
    {'aut_label': '10A1', 'centralizer': '90.c1', 'counter': 24, 'group_counter': 131, 'group_order': 900, 'label': '10B3', 'order': 10, 'powers': [9, 23, 4], 'representative': 687, 'size': 90}
  • id: 142117427
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 25, 'group_counter': 131, 'group_order': 900, 'label': '15A1', 'order': 15, 'powers': [26, 9, 5], 'representative': 60, 'size': 4}
  • id: 142117428
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 26, 'group_counter': 131, 'group_order': 900, 'label': '15A2', 'order': 15, 'powers': [25, 10, 5], 'representative': 120, 'size': 4}
  • id: 142117429
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 27, 'group_counter': 131, 'group_order': 900, 'label': '15B1', 'order': 15, 'powers': [28, 11, 6], 'representative': 4, 'size': 4}
  • id: 142117430
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 28, 'group_counter': 131, 'group_order': 900, 'label': '15B2', 'order': 15, 'powers': [27, 12, 6], 'representative': 8, 'size': 4}
  • id: 142117431
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 29, 'group_counter': 131, 'group_order': 900, 'label': '15C1', 'order': 15, 'powers': [30, 12, 5], 'representative': 312, 'size': 4}
  • id: 142117433
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 30, 'group_counter': 131, 'group_order': 900, 'label': '15C2', 'order': 15, 'powers': [29, 11, 5], 'representative': 324, 'size': 4}
  • id: 142117434
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 31, 'group_counter': 131, 'group_order': 900, 'label': '15D1', 'order': 15, 'powers': [32, 11, 7], 'representative': 304, 'size': 4}
  • id: 142117435
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 32, 'group_counter': 131, 'group_order': 900, 'label': '15D2', 'order': 15, 'powers': [31, 12, 7], 'representative': 608, 'size': 4}
  • id: 142117436
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 33, 'group_counter': 131, 'group_order': 900, 'label': '15E1', 'order': 15, 'powers': [34, 10, 6], 'representative': 200, 'size': 4}
  • id: 142117437
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 34, 'group_counter': 131, 'group_order': 900, 'label': '15E2', 'order': 15, 'powers': [33, 9, 6], 'representative': 380, 'size': 4}
  • id: 142117438
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 35, 'group_counter': 131, 'group_order': 900, 'label': '15F1', 'order': 15, 'powers': [36, 9, 7], 'representative': 80, 'size': 4}
  • id: 142117439
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 36, 'group_counter': 131, 'group_order': 900, 'label': '15F2', 'order': 15, 'powers': [35, 10, 7], 'representative': 160, 'size': 4}
  • id: 142117440
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 37, 'group_counter': 131, 'group_order': 900, 'label': '15G1', 'order': 15, 'powers': [38, 11, 8], 'representative': 604, 'size': 4}
  • id: 142117441
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 38, 'group_counter': 131, 'group_order': 900, 'label': '15G2', 'order': 15, 'powers': [37, 12, 8], 'representative': 308, 'size': 4}
  • id: 142117442
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 39, 'group_counter': 131, 'group_order': 900, 'label': '15H1', 'order': 15, 'powers': [40, 9, 8], 'representative': 100, 'size': 4}
  • id: 142117444
    {'aut_label': '15A1', 'centralizer': '4.a1', 'counter': 40, 'group_counter': 131, 'group_order': 900, 'label': '15H2', 'order': 15, 'powers': [39, 10, 8], 'representative': 140, 'size': 4}
  • id: 142117445
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 41, 'group_counter': 131, 'group_order': 900, 'label': '15I1', 'order': 15, 'powers': [43, 13, 5], 'representative': 72, 'size': 4}
  • id: 142117446
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 42, 'group_counter': 131, 'group_order': 900, 'label': '15I-1', 'order': 15, 'powers': [44, 13, 5], 'representative': 108, 'size': 4}
  • id: 142117447
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 43, 'group_counter': 131, 'group_order': 900, 'label': '15I2', 'order': 15, 'powers': [41, 14, 5], 'representative': 144, 'size': 4}
  • id: 142117448
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 44, 'group_counter': 131, 'group_order': 900, 'label': '15I-2', 'order': 15, 'powers': [42, 14, 5], 'representative': 156, 'size': 4}
  • id: 142117449
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 45, 'group_counter': 131, 'group_order': 900, 'label': '15J1', 'order': 15, 'powers': [47, 14, 6], 'representative': 184, 'size': 4}
  • id: 142117450
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 46, 'group_counter': 131, 'group_order': 900, 'label': '15J-1', 'order': 15, 'powers': [48, 14, 6], 'representative': 724, 'size': 4}
  • id: 142117451
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 47, 'group_counter': 131, 'group_order': 900, 'label': '15J2', 'order': 15, 'powers': [45, 13, 6], 'representative': 368, 'size': 4}
  • id: 142117452
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 48, 'group_counter': 131, 'group_order': 900, 'label': '15J-2', 'order': 15, 'powers': [46, 13, 6], 'representative': 548, 'size': 4}
  • id: 142117453
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 49, 'group_counter': 131, 'group_order': 900, 'label': '15K1', 'order': 15, 'powers': [51, 15, 8], 'representative': 64, 'size': 4}
  • id: 142117455
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 50, 'group_counter': 131, 'group_order': 900, 'label': '15K-1', 'order': 15, 'powers': [52, 15, 8], 'representative': 244, 'size': 4}
  • id: 142117456
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 51, 'group_counter': 131, 'group_order': 900, 'label': '15K2', 'order': 15, 'powers': [49, 16, 8], 'representative': 128, 'size': 4}
  • id: 142117457
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 52, 'group_counter': 131, 'group_order': 900, 'label': '15K-2', 'order': 15, 'powers': [50, 16, 8], 'representative': 488, 'size': 4}
  • id: 142117458
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 53, 'group_counter': 131, 'group_order': 900, 'label': '15L1', 'order': 15, 'powers': [55, 16, 5], 'representative': 132, 'size': 4}
  • id: 142117459
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 54, 'group_counter': 131, 'group_order': 900, 'label': '15L-1', 'order': 15, 'powers': [56, 16, 5], 'representative': 168, 'size': 4}
  • id: 142117460
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 55, 'group_counter': 131, 'group_order': 900, 'label': '15L2', 'order': 15, 'powers': [53, 15, 5], 'representative': 96, 'size': 4}
  • id: 142117461
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 56, 'group_counter': 131, 'group_order': 900, 'label': '15L-2', 'order': 15, 'powers': [54, 15, 5], 'representative': 84, 'size': 4}
  • id: 142117462
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 57, 'group_counter': 131, 'group_order': 900, 'label': '15M1', 'order': 15, 'powers': [59, 15, 6], 'representative': 364, 'size': 4}
  • id: 142117463
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 58, 'group_counter': 131, 'group_order': 900, 'label': '15M-1', 'order': 15, 'powers': [60, 15, 6], 'representative': 544, 'size': 4}
  • id: 142117464
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 59, 'group_counter': 131, 'group_order': 900, 'label': '15M2', 'order': 15, 'powers': [57, 16, 6], 'representative': 728, 'size': 4}
  • id: 142117466
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 60, 'group_counter': 131, 'group_order': 900, 'label': '15M-2', 'order': 15, 'powers': [58, 16, 6], 'representative': 188, 'size': 4}
  • id: 142117467
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 61, 'group_counter': 131, 'group_order': 900, 'label': '15N1', 'order': 15, 'powers': [63, 14, 7], 'representative': 124, 'size': 4}
  • id: 142117468
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 62, 'group_counter': 131, 'group_order': 900, 'label': '15N-1', 'order': 15, 'powers': [64, 14, 7], 'representative': 136, 'size': 4}
  • id: 142117469
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 63, 'group_counter': 131, 'group_order': 900, 'label': '15N2', 'order': 15, 'powers': [61, 13, 7], 'representative': 248, 'size': 4}
  • id: 142117470
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 64, 'group_counter': 131, 'group_order': 900, 'label': '15N-2', 'order': 15, 'powers': [62, 13, 7], 'representative': 68, 'size': 4}
  • id: 142117471
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 65, 'group_counter': 131, 'group_order': 900, 'label': '15O1', 'order': 15, 'powers': [67, 14, 8], 'representative': 424, 'size': 4}
  • id: 142117472
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 66, 'group_counter': 131, 'group_order': 900, 'label': '15O-1', 'order': 15, 'powers': [68, 14, 8], 'representative': 784, 'size': 4}
  • id: 142117473
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 67, 'group_counter': 131, 'group_order': 900, 'label': '15O2', 'order': 15, 'powers': [65, 13, 8], 'representative': 88, 'size': 4}
  • id: 142117474
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 68, 'group_counter': 131, 'group_order': 900, 'label': '15O-2', 'order': 15, 'powers': [66, 13, 8], 'representative': 112, 'size': 4}
  • id: 142117475
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 69, 'group_counter': 131, 'group_order': 900, 'label': '15P1', 'order': 15, 'powers': [71, 16, 7], 'representative': 148, 'size': 4}
  • id: 142117477
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 70, 'group_counter': 131, 'group_order': 900, 'label': '15P-1', 'order': 15, 'powers': [72, 16, 7], 'representative': 428, 'size': 4}
  • id: 142117478
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 71, 'group_counter': 131, 'group_order': 900, 'label': '15P2', 'order': 15, 'powers': [69, 15, 7], 'representative': 104, 'size': 4}
  • id: 142117479
    {'aut_label': '15I1', 'centralizer': '4.a1', 'counter': 72, 'group_counter': 131, 'group_order': 900, 'label': '15P-2', 'order': 15, 'powers': [70, 15, 7], 'representative': 664, 'size': 4}
• gps_qchar •

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

  
  
  • id: 13356148
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13356159
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13356170
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13356176
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13356177
    {'cdim': 2, 'counter': 5, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 0, 0, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, -1, 2], 'schur_index': 1}
  • id: 13356178
    {'cdim': 2, 'counter': 6, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2b', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 0, 0, -1, -1, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, -1, -1, 0, 0, 0, 0, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13356179
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2c', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 0, 0, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, 2, -1], 'schur_index': 1}
  • id: 13356180
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2d', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 0, 0, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 0, 0, 0, 0, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13356181
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2e', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, 0, 0, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, -2, 1, 0, 0, 0, 0, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, -1, 2], 'schur_index': 1}
  • id: 13356149
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, 0, 0, -1, -1, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 1, -2, 1, 1, 0, 0, 0, 0, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13356150
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2g', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, 0, 0, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, -2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, 2, -1], 'schur_index': 1}
  • id: 13356151
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, 0, 0, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, 1, 1, 1, 0, 0, 0, 0, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13356152
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2i', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 0, 0, 4, 4, 4, 4, 4, -1, -1, 4, 4, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13356153
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2j', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, 0, 0, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13356154
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2k', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 0, -4, 0, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13356155
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.2l', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 0, 0, -4, 4, 4, 4, 4, -1, -1, 4, 4, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13356156
    {'cdim': 4, 'counter': 17, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4a', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 0, 0, 0, 8, 8, 8, 8, -2, -2, -2, -2, -2, -2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, -2, 3, -2, -2, 3, -2, 3, 3, -2, -2, 3, -2, -2, 3, -2, 3, 3, -2, 3, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, -2, 3, -2, -2, 3, 3, -2, -2, 3, 3, -2, -2, -2, -2, -2, -2, -2, 3], 'schur_index': 1}
  • id: 13356157
    {'cdim': 4, 'counter': 18, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4b', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 0, 0, 0, 8, 8, 8, 8, -2, -2, -2, -2, 3, 3, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 3, -2, -2, -2, -2, -2, 3, -2, -2, -2, -2, -2, -2, -2, 3, 3, -2, 3, -2, 3, 3, -2, -2, -2, 3, -2, -2, 3, -2, -2, -2, 3, 3, -2, -2, 3, -2, -2, 3, 3, 3, 3, -2], 'schur_index': 1}
  • id: 13356158
    {'cdim': 4, 'counter': 19, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4c', 'multiplicity': 2, 'nt': [15, 7], 'qdim': 8, 'qvalues': [8, 0, 0, 0, -4, -4, -4, 8, -2, -2, 8, 8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 8, -4, 1, 1, 1, 1, 1, 8, 1, 1, -4, -2, 1, 1, -2, -4, 1, 1, 1, -4, 1, -4, -2, 1, 1, 1, 1, 1, -4, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, 1, -2], 'schur_index': 1}
  • id: 13356160
    {'cdim': 4, 'counter': 20, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4d', 'multiplicity': 2, 'nt': [15, 7], 'qdim': 8, 'qvalues': [8, 0, 0, 0, -4, -4, -4, 8, 8, 8, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 1, -2, 1, 1, 1, 1, 1, -4, -2, 1, 1, 1, -2, -4, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, -4, -4, 1, 1, 1, 1, 1, -4, 1, -2, 1, 1, 1, 1, 1, 8, -4, -2, -2, -2, 1, -2], 'schur_index': 1}
  • id: 13356161
    {'cdim': 4, 'counter': 21, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4e', 'multiplicity': 2, 'nt': [15, 7], 'qdim': 8, 'qvalues': [8, 0, 0, 0, -4, -4, 8, -4, -2, -2, 8, 8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -4, 8, -2, 1, -2, 1, -2, -4, 1, 1, -4, 1, -2, -2, 1, -4, 1, 1, -2, -4, -2, -4, 1, 1, 1, 1, 1, -2, 8, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13356162
    {'cdim': 4, 'counter': 22, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4f', 'multiplicity': 2, 'nt': [15, 7], 'qdim': 8, 'qvalues': [8, 0, 0, 0, -4, -4, 8, -4, 8, 8, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 1, 1, -2, -2, 1, -2, 1, 8, 1, 1, 1, 1, 1, 8, -2, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -4, -4, 1, -2, -2, 1, 1, -4, -2, 1, -2, 1, 1, 1, 1, -4, -4, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13356163
    {'cdim': 4, 'counter': 23, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4g', 'multiplicity': 2, 'nt': [15, 7], 'qdim': 8, 'qvalues': [8, 0, 0, 0, -4, 8, -4, -4, -2, -2, 8, 8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -4, -4, 1, 1, 1, 1, 1, -4, 1, -2, 8, 1, 1, 1, 1, -4, 1, 1, 1, 8, 1, -4, 1, 1, 1, 1, -2, 1, -4, -2, -2, -2, 1, 1, 1, 1, -2, -2, -2, 1, -2, 1, 1, 1, -2, 1], 'schur_index': 1}
  • id: 13356164
    {'cdim': 4, 'counter': 24, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4h', 'multiplicity': 2, 'nt': [15, 7], 'qdim': 8, 'qvalues': [8, 0, 0, 0, -4, 8, -4, -4, 8, 8, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 1, 1, 1, 1, 1, 1, 1, -4, 1, 1, -2, -2, 1, -4, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, -4, -4, -2, 1, 1, -2, -2, 8, 1, 1, 1, 1, -2, -2, -2, -4, 8, 1, 1, 1, -2, 1], 'schur_index': 1}
  • id: 13356165
    {'cdim': 4, 'counter': 25, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4i', 'multiplicity': 2, 'nt': [15, 7], 'qdim': 8, 'qvalues': [8, 0, 0, 0, 8, -4, -4, -4, -2, -2, 8, 8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -4, -4, 1, -2, 1, -2, 1, -4, -2, 1, -4, 1, 1, 1, 1, 8, -2, -2, 1, -4, 1, 8, 1, -2, -2, -2, 1, 1, -4, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13356166
    {'cdim': 4, 'counter': 26, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4j', 'multiplicity': 2, 'nt': [15, 7], 'qdim': 8, 'qvalues': [8, 0, 0, 0, 8, -4, -4, -4, 8, 8, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, 1, 1, 1, -2, 1, -2, -4, 1, -2, 1, 1, 1, -4, 1, 1, -2, -2, -2, 1, 1, 1, -2, 1, -2, 8, 8, 1, 1, 1, 1, 1, -4, 1, 1, 1, -2, 1, 1, 1, -4, -4, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13356167
    {'cdim': 4, 'counter': 27, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4k', 'multiplicity': 4, 'nt': [30, 79], 'qdim': 16, 'qvalues': [16, 0, 0, 0, -8, -8, -8, 16, -4, -4, -4, -4, -4, -4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -4, -3, -4, 2, -3, 2, -3, -3, 2, -4, -3, 2, 2, 6, 2, -3, 6, 2, -3, 2, 2, 2, 2, 2, -4, 2, 2, 2, -3, 2, 2, -3, 2, 2, -3, 6, 2, 2, -3, -3, 2, -4, 2, -4, -4, -4, 2, 6], 'schur_index': 1}
  • id: 13356168
    {'cdim': 4, 'counter': 28, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4l', 'multiplicity': 4, 'nt': [30, 79], 'qdim': 16, 'qvalues': [16, 0, 0, 0, -8, -8, -8, 16, -4, -4, -4, -4, 6, 6, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, -4, 2, 2, -3, 2, 2, 2, -4, 2, -3, 2, -4, 2, 2, -4, 2, 2, -3, -3, 2, -3, 2, 6, -3, 2, 2, 2, -3, 2, 2, -3, 2, 2, -4, -3, -3, 2, 2, -3, -4, 2, 6, 6, 6, -3, -4], 'schur_index': 1}
  • id: 13356169
    {'cdim': 4, 'counter': 29, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4m', 'multiplicity': 4, 'nt': [30, 79], 'qdim': 16, 'qvalues': [16, 0, 0, 0, -8, -8, 16, -8, -4, -4, -4, -4, -4, -4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 2, -4, 6, 2, 6, -3, -4, 2, -3, 2, 2, -3, -4, 6, -3, 2, -3, 2, -4, 2, -4, 2, 2, 2, 2, 2, -3, -4, -4, -3, 2, 2, 6, -3, -4, 2, -3, -3, 2, 2, 2, 2, 2, 2, 2, -3], 'schur_index': 1}
  • id: 13356171
    {'cdim': 4, 'counter': 30, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4n', 'multiplicity': 4, 'nt': [30, 79], 'qdim': 16, 'qvalues': [16, 0, 0, 0, -8, -8, 16, -8, -4, -4, -4, -4, 6, 6, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -4, -4, -3, -4, 2, -4, 2, 2, -3, 2, 2, -4, -4, 2, 2, 2, -3, 6, 2, 6, 2, -3, -3, 2, 2, 2, 6, -4, 2, -3, 2, -4, 2, 6, -3, 2, 2, -3, 2, 2, -3, -3, -3, -3, 2], 'schur_index': 1}
  • id: 13356172
    {'cdim': 4, 'counter': 31, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4o', 'multiplicity': 4, 'nt': [30, 79], 'qdim': 16, 'qvalues': [16, 0, 0, 0, -8, 16, -8, -8, -4, -4, -4, -4, -4, -4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 2, 2, -3, 2, -3, -3, 2, 2, -3, -4, -4, -3, 2, -3, -3, 2, -3, 2, 2, -4, 2, 2, 2, 2, 2, 2, 6, 2, 2, 6, -4, -4, -3, -3, 2, 2, 6, 6, -4, 2, -4, 2, 2, 2, -4, -3], 'schur_index': 1}
  • id: 13356173
    {'cdim': 4, 'counter': 32, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4p', 'multiplicity': 4, 'nt': [30, 79], 'qdim': 16, 'qvalues': [16, 0, 0, 0, -8, 16, -8, -8, -4, -4, -4, -4, 6, 6, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -3, 2, 2, 2, 2, 2, 6, -4, 2, 2, 2, 2, 2, 2, -3, -3, -4, -3, 2, -3, -3, 2, 2, -4, -3, 2, -4, 6, -4, 2, 2, -3, -3, -4, -4, 6, 2, -4, -3, -3, -3, 6, 2], 'schur_index': 1}
  • id: 13356174
    {'cdim': 4, 'counter': 33, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4q', 'multiplicity': 4, 'nt': [30, 79], 'qdim': 16, 'qvalues': [16, 0, 0, 0, 16, -8, -8, -8, -4, -4, -4, -4, -4, -4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 2, 2, -3, -4, -3, 6, 2, 2, 6, 2, 2, -3, 2, -3, -3, -4, 6, -4, 2, 2, 2, -4, 2, -4, -4, -4, -3, 2, 2, -3, 2, 2, -3, -3, 2, -4, -3, -3, 2, 2, 2, 2, 2, 2, 2, -3], 'schur_index': 1}
  • id: 13356175
    {'cdim': 4, 'counter': 34, 'faithful': False, 'group': '900.131', 'group_order': 900, 'image': None, 'label': '900.131.4r', 'multiplicity': 4, 'nt': [30, 79], 'qdim': 16, 'qvalues': [16, 0, 0, 0, 16, -8, -8, -8, -4, -4, -4, -4, 6, 6, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 2, 2, 6, 2, -4, 2, 2, -4, -3, 2, 2, 2, 2, 2, -4, -4, 6, -3, 2, -3, -4, -3, 6, -4, -4, 2, -3, 2, 2, -3, 2, 2, 2, -3, 6, 2, 2, -3, 2, 2, -3, -3, -3, -3, 2], '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: 31419453
    {'center': '1.a1', 'center_index': 1, 'center_order': 900, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 900, 'label': '900.131.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31419464
    {'center': '1.a1', 'center_index': 1, 'center_order': 900, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 450, 'label': '900.131.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31419475
    {'center': '1.a1', 'center_index': 1, 'center_order': 900, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 450, 'label': '900.131.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31419486
    {'center': '1.a1', 'center_index': 1, 'center_order': 900, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 450, 'label': '900.131.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 31419497
    {'center': '6.a1', 'center_index': 6, 'center_order': 150, 'counter': 5, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 150, 'label': '900.131.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]]]}
  • id: 31419508
    {'center': '6.a1', 'center_index': 6, 'center_order': 150, 'counter': 6, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 150, 'label': '900.131.2b', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31419519
    {'center': '6.a1', 'center_index': 6, 'center_order': 150, 'counter': 7, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 150, 'label': '900.131.2c', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]]]}
  • id: 31419523
    {'center': '6.a1', 'center_index': 6, 'center_order': 150, 'counter': 8, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 150, 'label': '900.131.2d', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31419524
    {'center': '6.a1', 'center_index': 6, 'center_order': 150, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 75, 'label': '900.131.2e', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]]]}
  • id: 31419454
    {'center': '6.a1', 'center_index': 6, 'center_order': 150, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 75, 'label': '900.131.2f', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31419455
    {'center': '6.a1', 'center_index': 6, 'center_order': 150, 'counter': 11, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 75, 'label': '900.131.2g', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]]]}
  • id: 31419456
    {'center': '6.a1', 'center_index': 6, 'center_order': 150, 'counter': 12, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 75, 'label': '900.131.2h', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 31419457
    {'center': '10.a1', 'center_index': 10, 'center_order': 90, 'counter': 13, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 90, 'label': '900.131.2i1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 31419458
    {'center': '10.a1', 'center_index': 10, 'center_order': 90, 'counter': 14, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 90, 'label': '900.131.2i2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 31419459
    {'center': '10.a1', 'center_index': 10, 'center_order': 90, 'counter': 15, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 90, 'label': '900.131.2j1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]]]}
  • id: 31419460
    {'center': '10.a1', 'center_index': 10, 'center_order': 90, 'counter': 16, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 90, 'label': '900.131.2j2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 31419461
    {'center': '10.a1', 'center_index': 10, 'center_order': 90, 'counter': 17, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 45, 'label': '900.131.2k1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]]]}
  • id: 31419462
    {'center': '10.a1', 'center_index': 10, 'center_order': 90, 'counter': 18, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 45, 'label': '900.131.2k2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 31419463
    {'center': '10.a1', 'center_index': 10, 'center_order': 90, 'counter': 19, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 45, 'label': '900.131.2l1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 31419465
    {'center': '10.a1', 'center_index': 10, 'center_order': 90, 'counter': 20, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 45, 'label': '900.131.2l2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 31419466
    {'center': '100.a1', 'center_index': 100, 'center_order': 9, 'counter': 21, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 9, 'label': '900.131.4a1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]]]}
  • id: 31419467
    {'center': '100.a1', 'center_index': 100, 'center_order': 9, 'counter': 22, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 9, 'label': '900.131.4a2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]]]}
  • id: 31419468
    {'center': '100.a1', 'center_index': 100, 'center_order': 9, 'counter': 23, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 9, 'label': '900.131.4b1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]]]}
  • id: 31419469
    {'center': '100.a1', 'center_index': 100, 'center_order': 9, 'counter': 24, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 9, 'label': '900.131.4b2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]]]}
  • id: 31419470
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 25, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4c1', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[4, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[4, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]]]}
  • id: 31419471
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 26, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4c2', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[4, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[4, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]]]}
  • id: 31419472
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 27, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4d1', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[4, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]]]}
  • id: 31419473
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 28, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4d2', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[4, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]]]}
  • id: 31419474
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 29, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4e1', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[4, 0]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-2, 0]], [[2, 1], [2, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[4, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 31419476
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 30, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4e2', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[4, 0]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-2, 0]], [[2, 2], [2, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[4, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 31419477
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 31, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4f1', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[4, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[4, 0]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]]]}
  • id: 31419478
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 32, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4f2', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[4, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[4, 0]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 31419479
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 33, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4g1', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[4, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[4, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]]]}
  • id: 31419480
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 34, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4g2', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[4, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[4, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]]]}
  • id: 31419481
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 35, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4h1', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 0]], [[4, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]]]}
  • id: 31419482
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 36, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4h2', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 0]], [[4, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]]]}
  • id: 31419483
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 37, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4i1', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[4, 0]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 31419484
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 38, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4i2', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[4, 0]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 31419485
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 39, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4j1', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[4, 0]], [[4, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]]]}
  • id: 31419487
    {'center': '60.a1', 'center_index': 60, 'center_order': 15, 'counter': 40, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '60.8', 'image_order': 60, 'indicator': 1, 'kernel': '60.a1', 'kernel_order': 15, 'label': '900.131.4j2', 'nt': [15, 7], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[4, 0]], [[4, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 31419488
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 41, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4k1', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-1, 0]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[1, 1], [1, 4], [2, 5]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]]]}
  • id: 31419489
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 42, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4k2', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-1, 0]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]]]}
  • id: 31419490
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 43, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4k3', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[2, 6], [2, -6]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]]]}
  • id: 31419491
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 44, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4k4', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[1, 1], [1, 4], [2, 5]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 6], [2, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]]]}
  • id: 31419492
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 45, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4l1', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 6], [2, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0]]]}
  • id: 31419493
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 46, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4l2', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[2, 6], [2, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0]]]}
  • id: 31419494
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 47, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4l3', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 3], [2, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0]]]}
  • id: 31419495
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 48, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4l4', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 3], [2, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[1, 1], [1, 4], [2, 5]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0]]]}
  • id: 31419496
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 49, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4m1', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-1, 0]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0]], [[2, 3], [2, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]]]}
  • id: 31419498
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 50, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4m2', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-1, 0]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0]], [[2, 3], [2, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]]]}
  • id: 31419499
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 51, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4m3', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 0]], [[2, 6], [2, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]]]}
  • id: 31419500
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 52, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4m4', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0]], [[2, 6], [2, -6]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]]]}
  • id: 31419501
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 53, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4n1', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[-1, 0]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 3], [2, -3]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 6], [2, -6]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 6], [2, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 6], [-1, -6]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]]]}
  • id: 31419502
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 54, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4n2', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[-1, 0]], [[1, 1], [1, 4], [2, 5]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 3], [2, -3]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 6], [2, -6]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 6], [2, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]]]}
  • id: 31419503
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 55, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4n3', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 6], [2, -6]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 6], [2, -6]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 3], [2, -3]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 3], [2, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]]]}
  • id: 31419504
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 56, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4n4', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 6], [2, -6]], [[-1, 0]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 6], [2, -6]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 3], [2, -3]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 3], [2, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 1], [1, 4], [2, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]]]}
  • id: 31419505
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 57, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4o1', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-1, 0]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0]], [[2, 3], [2, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 6], [2, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[2, 6], [2, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 4], [3, 5]]]}
  • id: 31419506
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 58, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4o2', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-1, 0]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0]], [[2, 3], [2, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 6], [2, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[2, 6], [2, -6]], [[1, 1], [1, 4], [2, 5]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]]]}
  • id: 31419507
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 59, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4o3', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 1], [1, 4], [2, 5]], [[-1, 0]], [[2, 6], [2, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 3], [2, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[2, 3], [2, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 6], [-1, -6]], [[2, 6], [2, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[1, 1], [1, 4], [2, 5]]]}
  • id: 31419509
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 60, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4o4', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0]], [[2, 6], [2, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 3], [2, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[2, 3], [2, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 6], [-1, -6]], [[2, 6], [2, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]]]}
  • id: 31419510
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 61, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4p1', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 6], [2, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[2, 3], [2, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 6], [2, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]]]}
  • id: 31419511
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 62, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4p2', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 6], [2, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 3], [2, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 6], [2, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[1, 1], [1, 4], [2, 5]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]]]}
  • id: 31419512
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 63, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4p3', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 3], [2, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 6], [2, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 3], [2, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 6], [2, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 1], [1, 4], [2, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]]]}
  • id: 31419513
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 64, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4p4', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 3], [2, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 6], [2, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[1, 1], [1, 4], [2, 5]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 0]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 3], [2, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[2, 6], [2, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]]]}
  • id: 31419514
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 65, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4q1', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-1, 0]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 6], [2, -6]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 3], [2, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]]]}
  • id: 31419515
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 66, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4q2', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-1, 0]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0]], [[1, 1], [1, 4], [2, 5]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 6], [2, -6]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 3], [2, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]]]}
  • id: 31419516
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 67, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4q3', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 3], [2, -3]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 6], [2, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]]]}
  • id: 31419517
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 68, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4q4', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[2, 3], [2, -3]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 6], [2, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]]]}
  • id: 31419518
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 69, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4r1', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 3], [2, -3]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[2, 6], [2, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]]]}
  • id: 31419520
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 70, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4r2', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 3], [2, -3]], [[-1, 0]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 6], [2, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 4], [2, 5]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]]]}
  • id: 31419521
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 71, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4r3', 'nt': [30, 79], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 6], [2, -6]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[2, 3], [2, -3]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[1, 1], [1, 4], [2, 5]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[1, 1], [1, 4], [2, 5]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]]]}
  • id: 31419522
    {'center': '300.a1', 'center_index': 300, 'center_order': 3, 'counter': 72, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '900.131', 'group_counter': 131, 'group_order': 900, 'image': None, 'image_isoclass': '300.40', 'image_order': 300, 'indicator': 0, 'kernel': '300.a1', 'kernel_order': 3, 'label': '900.131.4r4', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 0]], [[1, 1], [1, 4], [2, 5]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 6], [2, -6]], [[-1, 0]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[2, 3], [2, -3]], [[1, 1], [1, 4], [2, 5]], [[1, 0], [1, 2], [-1, 3], [1, 7]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4], [2, 5]], [[2, 0], [-1, 2], [1, 3], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-3, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-3, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [3, 5]], [[-1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-2, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]]]}
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 112231820
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 900, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '900.131.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '900.131', 'subgroup_hash': 131, 'subgroup_order': 900, 'subgroup_tex': 'C_{15}^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 112231831
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': True, 'core_order': 450, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '900.131.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '450.27', 'subgroup_hash': 27, 'subgroup_order': 450, 'subgroup_tex': 'C_{15}^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 112231842
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 5, 'characteristic': False, 'core_order': 450, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '900.131.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '450.32', 'subgroup_hash': 32, 'subgroup_order': 450, 'subgroup_tex': 'C_{15}:D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 112231853
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 150, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1', 'outer_equivalence': True, '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': '300.40', 'subgroup_hash': 40, 'subgroup_order': 300, 'subgroup_tex': 'C_{15}:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112231860
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 225, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 15, 'label': '900.131.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'F', 'S', 'L1', 'D1', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '225.6', 'subgroup_hash': 6, 'subgroup_order': 225, 'subgroup_tex': 'C_{15}^2', 'supersolvable': True, 'sylow': 0}
  • id: 112231861
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 90, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.5.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.a1', 'outer_equivalence': True, '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': 5, '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': '180.27', 'subgroup_hash': 27, 'subgroup_order': 180, 'subgroup_tex': 'C_{15}:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 112231862
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 150, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '900.131.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, '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': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '150.9', 'subgroup_hash': 9, 'subgroup_order': 150, 'subgroup_tex': 'C_{15}:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231863
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 5, 'characteristic': False, 'core_order': 75, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1', 'outer_equivalence': True, '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': 6, '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': '150.11', 'subgroup_hash': 11, 'subgroup_order': 150, 'subgroup_tex': 'C_5\\times D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 112231864
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 50, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '900.131.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.a1', 'outer_equivalence': True, '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': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 112231821
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 5, 'characteristic': False, 'core_order': 90, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '900.131.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '90.9', 'subgroup_hash': 9, 'subgroup_order': 90, 'subgroup_tex': 'C_3:D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 112231822
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 45, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.b1', 'outer_equivalence': True, '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': 10, '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': '90.5', 'subgroup_hash': 5, 'subgroup_order': 90, 'subgroup_tex': 'C_3^2\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231823
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 9, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.c1', 'outer_equivalence': True, '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': 10, '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': '90.5', 'subgroup_hash': 5, 'subgroup_order': 90, 'subgroup_tex': 'C_3^2\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231824
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 5, 'characteristic': False, 'core_order': 45, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.d1', 'outer_equivalence': True, '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': 10, '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': '90.8', 'subgroup_hash': 8, 'subgroup_order': 90, 'subgroup_tex': 'C_{15}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 112231825
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 75, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '900.131.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '75.3', 'subgroup_hash': 3, 'subgroup_order': 75, 'subgroup_tex': 'C_5\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 112231826
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 15, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.15.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.a1', 'outer_equivalence': True, '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': 15, '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': '60.8', 'subgroup_hash': 8, 'subgroup_order': 60, 'subgroup_tex': 'S_3\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231827
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': True, 'core_order': 50, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '900.131.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231828
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 5, 'characteristic': False, 'core_order': 25, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.b1', 'outer_equivalence': True, '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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.3', 'subgroup_hash': 3, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231829
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 45, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '900.131.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '45.2', 'subgroup_hash': 2, 'subgroup_order': 45, 'subgroup_tex': 'C_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 112231830
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 9, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.b1', 'outer_equivalence': True, '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': 20, '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': '45.2', 'subgroup_hash': 2, 'subgroup_order': 45, 'subgroup_tex': 'C_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 112231832
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 9, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '900.131.25.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.a1', 'outer_equivalence': True, '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': 25, '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': '36.13', 'subgroup_hash': 13, 'subgroup_order': 36, 'subgroup_tex': 'C_6:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 112231833
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 15, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.30.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.a1', 'outer_equivalence': True, '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': 30, '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': '30.2', 'subgroup_hash': 2, 'subgroup_order': 30, 'subgroup_tex': 'C_3\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231834
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 3, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.30.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.b1', 'outer_equivalence': True, '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': 30, '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': '30.2', 'subgroup_hash': 2, 'subgroup_order': 30, 'subgroup_tex': 'C_3\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231835
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 5, 'characteristic': False, 'core_order': 15, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.30.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.c1', 'outer_equivalence': True, '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': 30, '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': '30.1', 'subgroup_hash': 1, 'subgroup_order': 30, 'subgroup_tex': 'C_5\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 112231836
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 5, 'characteristic': False, 'core_order': 15, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.30.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.d1', 'outer_equivalence': True, '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': 30, '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': '30.3', 'subgroup_hash': 3, 'subgroup_order': 30, 'subgroup_tex': 'D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 112231837
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 25, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 5, 'label': '900.131.36.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 5}
  • id: 112231838
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 5, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.45.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.a1', 'outer_equivalence': True, '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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112231839
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.50.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '50.a1', 'outer_equivalence': True, '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': 50, '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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 112231840
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 9, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.50.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.b1', 'outer_equivalence': True, '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': 50, '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': '18.4', 'subgroup_hash': 4, 'subgroup_order': 18, 'subgroup_tex': 'C_3:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 112231841
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 15, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '900.131.60.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_5', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 112231843
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 3, 'counter': 30, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '900.131.60.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.b1', 'outer_equivalence': True, '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': 60, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 112231844
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 3, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.75.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.a1', 'outer_equivalence': True, '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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 112231845
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 5, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.90.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.a1', 'outer_equivalence': True, '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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231846
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.90.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.b1', 'outer_equivalence': True, '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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231847
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 5, 'counter': 34, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '900.131.90.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '90.c1', 'outer_equivalence': True, '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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 112231848
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 5, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.90.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.d1', 'outer_equivalence': True, '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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231849
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': True, 'core_order': 9, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 3, 'label': '900.131.100.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
  • id: 112231850
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 3, 'counter': 37, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '900.131.150.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '150.a1', 'outer_equivalence': True, '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': 150, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 112231851
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 3, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '900.131.150.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.b1', 'outer_equivalence': True, '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': 150, '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: 112231852
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 5, 'counter': 39, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '900.131.180.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '180.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '180.27', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 180, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:D_6', 'simple': True, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231854
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 1, 'counter': 40, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '900.131.180.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.b1', 'outer_equivalence': True, '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': 180, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 112231855
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '900.131.225.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '225.a1', 'outer_equivalence': True, '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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 2}
  • id: 112231856
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 3, 'counter': 42, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '900.131.300.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '300.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '300.40', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 300, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:D_{10}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 112231857
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 43, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '900.131.450.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '450.a1', 'outer_equivalence': True, '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': 450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 112231858
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '900.131.450.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '450.b1', 'outer_equivalence': True, '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': 450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 112231859
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '900.131', 'ambient_counter': 131, 'ambient_order': 900, 'ambient_tex': 'C_{15}^2:C_2^2', 'central': True, 'central_factor': False, 'centralizer_order': 900, 'characteristic': True, 'core_order': 1, 'counter': 45, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '900.131.900.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '900.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '900.131', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 131, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 900, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'Phi', 'PC', 'U0', 'D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 112231850
    {'ambient': '900.131', 'aut_centralizer_order': 1728, 'aut_label': '150.a1', 'aut_quo_index': None, 'aut_stab_index': 100, 'aut_weyl_group': '2.1', 'aut_weyl_index': 172800, 'centralizer': '50.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['30.a1', '30.b1', '50.a1', '75.a1'], 'contains': ['300.a1', '450.a1'], 'core': '300.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [5320, -1, 5360, -1], 'generators': [1, 40], 'label': '900.131.150.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.a1', 'old_label': '150.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 112231820
    {'ambient': '900.131', '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': '900.a1', 'complements': ['900.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '3.a1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6849, 5583, 4373, 4931], 'generators': [1, 180, 40, 600, 2, 12], 'label': '900.131.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '900.131'}
  • id: 112231821
    {'ambient': '900.131', 'aut_centralizer_order': 20, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8640.be', 'aut_weyl_index': 40, 'centralizer': '180.a1', 'complements': ['90.d1', '90.a1', '90.b1'], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '30.d1', '50.b1'], 'core': '10.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9803, 1662, 4040, 1810], 'generators': [3, 600, 12, 40], 'label': '900.131.10.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.a1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['20.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '900.131', 'quotient_action_image': '10.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '180.27'}
  • id: 112231822
    {'ambient': '900.131', 'aut_centralizer_order': 36, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '960.10901', 'aut_weyl_index': 360, 'centralizer': '100.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '30.a1', '50.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [7584, -1, 2124, -1], 'generators': [1, 600, 180, 40], 'label': '900.131.10.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 112231823
    {'ambient': '900.131', 'aut_centralizer_order': 18, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '960.10901', 'aut_weyl_index': 360, 'centralizer': '100.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['20.b1', '30.b1', '50.a1'], 'core': '100.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [5604, -1, 440, -1], 'generators': [1, 600, 192, 40], 'label': '900.131.10.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '10.c1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 112231824
    {'ambient': '900.131', 'aut_centralizer_order': 20, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '1728.46191', 'aut_weyl_index': 200, 'centralizer': '180.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '30.c1', '50.b1'], 'core': '20.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [8763, -1, 4939, -1], 'generators': [3, 40, 600, 180], 'label': '900.131.10.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.d1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 112231825
    {'ambient': '900.131', 'aut_centralizer_order': 1350, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '64.101', 'aut_weyl_index': 5400, 'centralizer': '4.a1', 'complements': ['75.a1'], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '6.a1', '6.b1'], 'contains': ['36.a1', '60.a1', '60.b1'], 'core': '12.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3014, 5939, 4813, 5880], 'generators': [40, 180, 12], 'label': '900.131.12.a1', 'mobius_quo': -1, 'mobius_sub': -6, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['36.a1', '60.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '900.131', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 112231826
    {'ambient': '900.131', 'aut_centralizer_order': 24, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '120.36', 'aut_weyl_index': 2880, 'centralizer': '900.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['3.a1', '5.a1'], 'contains': ['30.a1', '30.c1', '30.d1', '45.a1', '75.a1'], 'core': '60.a1', 'coset_action_label': None, 'count': 120, 'diagramx': [5008, -1, 6943, -1], 'generators': [1, 40, 180, 2], 'label': '900.131.15.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1', 'old_label': '15.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 112231827
    {'ambient': '900.131', 'aut_centralizer_order': 432, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '800.1191', 'aut_weyl_index': 432, 'centralizer': '100.a1', 'complements': ['50.b1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '9.a1'], 'contains': ['36.a1', '90.a1', '90.b1'], 'core': '18.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [298, 8338, 8344, 9076], 'generators': [1, 180, 12], 'label': '900.131.18.a1', 'mobius_quo': 0, 'mobius_sub': -27, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1'], 'normal_contains': ['36.a1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '900.131', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 112231828
    {'ambient': '900.131', 'aut_centralizer_order': 240, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '80.30', 'aut_weyl_index': 4320, 'centralizer': '180.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '9.a1'], 'contains': ['36.a1', '90.c1', '90.d1'], 'core': '36.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [1136, -1, 9626, -1], 'generators': [3, 12, 180], 'label': '900.131.18.b1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 112231829
    {'ambient': '900.131', 'aut_centralizer_order': 900, 'aut_label': '20.a1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '192.951', 'aut_weyl_index': 1800, 'centralizer': '4.a1', 'complements': ['45.a1'], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '10.a1', '10.b1', '10.d1'], 'contains': ['60.a1', '100.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8763, 3492, 2356, 1810], 'generators': [40, 180, 600], 'label': '900.131.20.a1', 'mobius_quo': -3, 'mobius_sub': -10, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1'], 'normal_contains': ['60.a1', '100.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '900.131', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 112231830
    {'ambient': '900.131', 'aut_centralizer_order': 450, 'aut_label': '20.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '192.951', 'aut_weyl_index': 1800, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '10.c1'], 'contains': ['60.b1', '100.a1'], 'core': '100.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6740, -1, 471, -1], 'generators': [40, 192, 600], 'label': '900.131.20.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '20.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 112231831
    {'ambient': '900.131', 'aut_centralizer_order': 9, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 9, 'centralizer': '100.a1', 'complements': ['450.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '6.a1', '10.b1', '10.c1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6150, 6628, 2124, 7328], 'generators': [1, 600, 12, 40, 180], 'label': '900.131.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '900.131', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 112231832
    {'ambient': '900.131', 'aut_centralizer_order': 16, 'aut_label': '25.a1', 'aut_quo_index': None, 'aut_stab_index': 25, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 400, 'centralizer': '450.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1'], 'contains': ['50.a1', '50.b1', '75.a1'], 'core': '100.a1', 'coset_action_label': None, 'count': 25, 'diagramx': [9324, -1, 3142, -1], 'generators': [1, 2, 40, 600], 'label': '900.131.25.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.a1', 'old_label': '25.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25.a1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
  • id: 112231833
    {'ambient': '900.131', 'aut_centralizer_order': 216, 'aut_label': '30.a1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '40.12', 'aut_weyl_index': 8640, 'centralizer': '100.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.a1', '10.b1', '15.a1'], 'contains': ['60.a1', '90.a1', '150.a1'], 'core': '60.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [4462, -1, 5756, -1], 'generators': [1, 180, 40], 'label': '900.131.30.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 112231834
    {'ambient': '900.131', 'aut_centralizer_order': 108, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '40.12', 'aut_weyl_index': 8640, 'centralizer': '100.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.a1', '10.c1'], 'contains': ['60.b1', '90.b1', '150.a1'], 'core': '300.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [1973, -1, 3871, -1], 'generators': [1, 192, 40], 'label': '900.131.30.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '30.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 112231835
    {'ambient': '900.131', 'aut_centralizer_order': 120, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '24.5', 'aut_weyl_index': 14400, 'centralizer': '180.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.b1', '10.d1', '15.a1'], 'contains': ['60.a1', '90.c1', '150.b1'], 'core': '60.a1', 'coset_action_label': None, 'count': 120, 'diagramx': [6384, -1, 7628, -1], 'generators': [3, 40, 180], 'label': '900.131.30.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1', 'old_label': '30.c1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 112231836
    {'ambient': '900.131', 'aut_centralizer_order': 120, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '120.36', 'aut_weyl_index': 2880, 'centralizer': '180.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.b1', '10.a1', '15.a1'], 'contains': ['60.a1', '90.d1', '150.b1'], 'core': '60.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5568, -1, 6925, -1], 'generators': [3, 12, 40], 'label': '900.131.30.d1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.d1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 112231837
    {'ambient': '900.131', 'aut_centralizer_order': 10800, 'aut_label': '36.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.11', 'aut_weyl_index': 10800, 'centralizer': '4.a1', 'complements': ['25.a1'], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '18.a1', '18.b1'], 'contains': ['180.a1', '180.b1'], 'core': '36.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [502, 7316, 7301, 6055], 'generators': [12, 180], 'label': '900.131.36.a1', 'mobius_quo': 1, 'mobius_sub': 54, 'normal_closure': '36.a1', 'normal_contained_in': ['12.a1', '18.a1'], 'normal_contains': ['180.a1'], 'normalizer': '1.a1', 'old_label': '36.a1', 'projective_image': '900.131', 'quotient_action_image': '4.2', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 112231838
    {'ambient': '900.131', 'aut_centralizer_order': 192, 'aut_label': '45.a1', 'aut_quo_index': None, 'aut_stab_index': 90, 'aut_weyl_group': '20.3', 'aut_weyl_index': 17280, 'centralizer': '450.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.a1', '15.a1'], 'contains': ['90.a1', '90.c1', '90.d1', '225.a1'], 'core': '180.a1', 'coset_action_label': None, 'count': 90, 'diagramx': [3123, -1, 8916, -1], 'generators': [1, 180, 2], 'label': '900.131.45.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '45.a1', 'old_label': '45.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 112231839
    {'ambient': '900.131', 'aut_centralizer_order': 288, 'aut_label': '50.a1', 'aut_quo_index': None, 'aut_stab_index': 25, 'aut_weyl_group': '48.29', 'aut_weyl_index': 7200, 'centralizer': '50.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.b1', '10.c1', '25.a1'], 'contains': ['100.a1', '150.a1'], 'core': '100.a1', 'coset_action_label': None, 'count': 25, 'diagramx': [7948, -1, 1414, -1], 'generators': [1, 40, 600], 'label': '900.131.50.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.a1', 'old_label': '50.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 112231840
    {'ambient': '900.131', 'aut_centralizer_order': 80, 'aut_label': '50.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '432.734', 'aut_weyl_index': 800, 'centralizer': '90.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['10.a1', '10.d1', '25.a1'], 'contains': ['100.a1', '150.b1'], 'core': '100.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [9331, -1, 3154, -1], 'generators': [3, 40, 600], 'label': '900.131.50.b1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '50.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.b1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
  • id: 112231841
    {'ambient': '900.131', 'aut_centralizer_order': 5400, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '8.2', 'aut_weyl_index': 43200, 'centralizer': '4.a1', 'complements': ['15.a1'], 'conjugacy_class_count': 8, 'contained_in': ['12.a1', '20.a1', '30.a1', '30.c1', '30.d1'], 'contains': ['180.a1', '300.a1'], 'core': '60.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [5641, 5701, 5862, 3933], 'generators': [40, 180], 'label': '900.131.60.a1', 'mobius_quo': 1, 'mobius_sub': 30, 'normal_closure': '60.a1', 'normal_contained_in': ['12.a1', '20.a1'], 'normal_contains': ['180.a1', '300.a1'], 'normalizer': '1.a1', 'old_label': '60.a1', 'projective_image': '900.131', 'quotient_action_image': '4.2', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '60.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 112231842
    {'ambient': '900.131', 'aut_centralizer_order': 5, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 10, 'centralizer': '180.a1', 'complements': ['450.b1', '450.a1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '6.b1', '10.a1', '10.d1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7541, 2091, 4939, 2559], 'generators': [3, 40, 600, 180, 12], 'label': '900.131.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '900.131', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '180.27'}
  • id: 112231843
    {'ambient': '900.131', 'aut_centralizer_order': 2700, 'aut_label': '60.b1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '8.2', 'aut_weyl_index': 43200, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.a1', '20.b1', '30.b1'], 'contains': ['180.b1', '300.a1'], 'core': '300.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2519, -1, 4813, -1], 'generators': [40, 192], 'label': '900.131.60.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '60.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 112231844
    {'ambient': '900.131', 'aut_centralizer_order': 96, 'aut_label': '75.a1', 'aut_quo_index': None, 'aut_stab_index': 300, 'aut_weyl_group': '12.4', 'aut_weyl_index': 28800, 'centralizer': '450.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['15.a1', '25.a1'], 'contains': ['150.a1', '150.b1', '225.a1'], 'core': '300.a1', 'coset_action_label': None, 'count': 300, 'diagramx': [6377, -1, 6416, -1], 'generators': [1, 2, 40], 'label': '900.131.75.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '75.a1', 'old_label': '75.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 112231845
    {'ambient': '900.131', 'aut_centralizer_order': 1728, 'aut_label': '90.a1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '20.3', 'aut_weyl_index': 17280, 'centralizer': '50.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.a1', '30.a1', '45.a1'], 'contains': ['180.a1', '450.a1'], 'core': '180.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1506, -1, 7785, -1], 'generators': [1, 180], 'label': '900.131.90.a1', 'mobius_quo': None, 'mobius_sub': 27, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '90.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 112231846
    {'ambient': '900.131', 'aut_centralizer_order': 864, 'aut_label': '90.b1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '20.3', 'aut_weyl_index': 17280, 'centralizer': '100.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.a1', '30.b1'], 'contains': ['180.b1', '450.a1'], 'core': '900.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [197, -1, 6817, -1], 'generators': [1, 192], 'label': '900.131.90.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '90.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 112231847
    {'ambient': '900.131', 'aut_centralizer_order': 960, 'aut_label': '90.c1', 'aut_quo_index': None, 'aut_stab_index': 90, 'aut_weyl_group': '4.1', 'aut_weyl_index': 86400, 'centralizer': '90.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.b1', '30.c1', '45.a1'], 'contains': ['180.a1', '450.b1'], 'core': '180.a1', 'coset_action_label': None, 'count': 90, 'diagramx': [4367, -1, 9255, -1], 'generators': [3, 180], 'label': '900.131.90.c1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '45.a1', 'old_label': '90.c1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 112231848
    {'ambient': '900.131', 'aut_centralizer_order': 960, 'aut_label': '90.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '20.3', 'aut_weyl_index': 17280, 'centralizer': '90.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.b1', '30.d1', '45.a1'], 'contains': ['180.a1', '450.b1'], 'core': '180.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [2613, -1, 8753, -1], 'generators': [3, 12], 'label': '900.131.90.d1', 'mobius_quo': None, 'mobius_sub': 15, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '90.d1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.d1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 112231849
    {'ambient': '900.131', 'aut_centralizer_order': 7200, 'aut_label': '100.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 7200, 'centralizer': '2.a1', 'complements': ['9.a1'], 'conjugacy_class_count': 1, 'contained_in': ['20.a1', '20.b1', '50.a1', '50.b1'], 'contains': ['300.a1'], 'core': '100.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8581, 4085, 2356, 1810], 'generators': [40, 600], 'label': '900.131.100.a1', 'mobius_quo': 3, 'mobius_sub': 50, 'normal_closure': '100.a1', 'normal_contained_in': ['20.a1'], 'normal_contains': ['300.a1'], 'normalizer': '1.a1', 'old_label': '100.a1', 'projective_image': '900.131', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.4', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 112231851
    {'ambient': '900.131', 'aut_centralizer_order': 480, 'aut_label': '150.b1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '6.1', 'aut_weyl_index': 57600, 'centralizer': '90.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['30.c1', '30.d1', '50.b1', '75.a1'], 'contains': ['300.a1', '450.b1'], 'core': '300.a1', 'coset_action_label': None, 'count': 120, 'diagramx': [6870, -1, 6365, -1], 'generators': [3, 40], 'label': '900.131.150.b1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1', 'old_label': '150.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 112231852
    {'ambient': '900.131', 'aut_centralizer_order': 43200, 'aut_label': '180.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 86400, 'centralizer': '2.b1', 'complements': ['5.a1'], 'conjugacy_class_count': 2, 'contained_in': ['36.a1', '60.a1', '90.a1', '90.c1', '90.d1'], 'contains': ['900.a1'], 'core': '180.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2118, 6818, 7754, 4831], 'generators': [180], 'label': '900.131.180.a1', 'mobius_quo': -1, 'mobius_sub': -270, 'normal_closure': '180.a1', 'normal_contained_in': ['36.a1', '60.a1'], 'normal_contains': ['900.a1'], 'normalizer': '1.a1', 'old_label': '180.a1', 'projective_image': '900.131', 'quotient_action_image': '2.1', 'quotient_action_kernel': '90.8', 'quotient_action_kernel_order': 90, 'quotient_fusion': None, 'short_label': '180.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 112231853
    {'ambient': '900.131', 'aut_centralizer_order': 6, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4800.bn', 'aut_weyl_index': 72, 'centralizer': '900.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '9.a1', '15.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2795, -1, 6943, -1], 'generators': [1, 40, 12, 2, 180], 'label': '900.131.3.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '300.40'}
  • id: 112231854
    {'ambient': '900.131', 'aut_centralizer_order': 21600, 'aut_label': '180.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 86400, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['36.a1', '60.b1', '90.b1'], 'contains': ['900.a1'], 'core': '900.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [677, -1, 6830, -1], 'generators': [192], 'label': '900.131.180.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '180.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 112231855
    {'ambient': '900.131', 'aut_centralizer_order': 768, 'aut_label': '225.a1', 'aut_quo_index': None, 'aut_stab_index': 225, 'aut_weyl_group': '2.1', 'aut_weyl_index': 172800, 'centralizer': '225.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['45.a1', '75.a1'], 'contains': ['450.a1', '450.b1'], 'core': '900.a1', 'coset_action_label': None, 'count': 225, 'diagramx': [3879, -1, 8269, -1], 'generators': [1, 2], 'label': '900.131.225.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '225.a1', 'old_label': '225.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112231856
    {'ambient': '900.131', 'aut_centralizer_order': 43200, 'aut_label': '300.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 172800, 'centralizer': '2.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 4, 'contained_in': ['60.a1', '60.b1', '100.a1', '150.a1', '150.b1'], 'contains': ['900.a1'], 'core': '300.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5917, 5511, 5611, 3034], 'generators': [40], 'label': '900.131.300.a1', 'mobius_quo': -1, 'mobius_sub': -150, 'normal_closure': '300.a1', 'normal_contained_in': ['60.a1', '100.a1'], 'normal_contains': ['900.a1'], 'normalizer': '1.a1', 'old_label': '300.a1', 'projective_image': '900.131', 'quotient_action_image': '2.1', 'quotient_action_kernel': '150.9', 'quotient_action_kernel_order': 150, 'quotient_fusion': None, 'short_label': '300.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 112231857
    {'ambient': '900.131', 'aut_centralizer_order': 13824, 'aut_label': '450.a1', 'aut_quo_index': None, 'aut_stab_index': 25, 'aut_weyl_group': '1.1', 'aut_weyl_index': 345600, 'centralizer': '25.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['90.a1', '90.b1', '150.a1', '225.a1'], 'contains': ['900.a1'], 'core': '900.a1', 'coset_action_label': None, 'count': 25, 'diagramx': [2220, -1, 7295, -1], 'generators': [1], 'label': '900.131.450.a1', 'mobius_quo': None, 'mobius_sub': -27, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.a1', 'old_label': '450.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '450.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112231858
    {'ambient': '900.131', 'aut_centralizer_order': 3840, 'aut_label': '450.b1', 'aut_quo_index': None, 'aut_stab_index': 90, 'aut_weyl_group': '1.1', 'aut_weyl_index': 345600, 'centralizer': '45.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['90.c1', '90.d1', '150.b1', '225.a1'], 'contains': ['900.a1'], 'core': '900.a1', 'coset_action_label': None, 'count': 90, 'diagramx': [3879, -1, 8269, -1], 'generators': [3], 'label': '900.131.450.b1', 'mobius_quo': None, 'mobius_sub': -15, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '45.a1', 'old_label': '450.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '450.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112231859
    {'ambient': '900.131', 'aut_centralizer_order': None, 'aut_label': '900.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['180.a1', '180.b1', '300.a1', '450.a1', '450.b1'], 'contains': [], 'core': '900.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2220, 6176, 7295, 3933], 'generators': [], 'label': '900.131.900.a1', 'mobius_quo': 1, 'mobius_sub': 1350, 'normal_closure': '900.a1', 'normal_contained_in': ['180.a1', '300.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '900.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '900.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 112231860
    {'ambient': '900.131', 'aut_centralizer_order': 225, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408553297', 'aut_weyl_index': 225, 'centralizer': '4.a1', 'complements': ['225.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['12.a1', '20.a1', '20.b1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6317, 4109, 1282, 4657], 'generators': [40, 12, 180, 600], 'label': '900.131.4.a1', 'mobius_quo': 3, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['12.a1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '900.131', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 112231861
    {'ambient': '900.131', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8640.be', 'aut_weyl_index': 40, 'centralizer': '900.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.d1', '15.a1', '25.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [8669, -1, 3808, -1], 'generators': [1, 40, 600, 2, 180], 'label': '900.131.5.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '5.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '180.27'}
  • id: 112231862
    {'ambient': '900.131', 'aut_centralizer_order': 54, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1600.10254', 'aut_weyl_index': 216, 'centralizer': '100.a1', 'complements': ['150.b1'], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '18.a1', '30.a1', '30.b1'], 'core': '6.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2438, 6865, 5988, 8102], 'generators': [1, 12, 180, 40], 'label': '900.131.6.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['12.a1', '18.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '900.131', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 112231863
    {'ambient': '900.131', 'aut_centralizer_order': 30, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '480.994', 'aut_weyl_index': 720, 'centralizer': '180.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '18.b1', '30.c1', '30.d1'], 'core': '12.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3646, -1, 7886, -1], 'generators': [3, 40, 12, 180], 'label': '900.131.6.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 112231864
    {'ambient': '900.131', 'aut_centralizer_order': 48, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '800.1191', 'aut_weyl_index': 432, 'centralizer': '900.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['18.a1', '18.b1', '45.a1'], 'core': '18.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [1136, -1, 8784, -1], 'generators': [1, 12, 180, 2], 'label': '900.131.9.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '9.a1', 'projective_image': '900.131', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '100.13'}