Abstract group data - 5328.a

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• gps_groups •

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

  
  {'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '144.20', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 1332, 'aut_gen_orders': [12, 2, 36, 18], 'aut_gens': [[1, 36], [109, 3060], [4825, 2628], [1693, 3348], [3205, 2556]], 'aut_group': None, 'aut_hash': 9056525897047783906, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 10656, 'aut_permdeg': 185, 'aut_perms': [35676659040875556879940419084266160155339320149208826089144020677721150544990520178726392062893729075742958809256155296917085783698967619869531927920421708420428165815132311197029129383708376340379770182395775358233629064206960743357668644836982220771866998281944883154185038657268779868814551553352351184382738427160397270417680750289152846, 14650991040271096688969480183664522095622484313542106884356377005290027437558296409756080358864447950781442451009845436202546420099281591042557356625733211639197084494380232846021723848050322354644389989476448695329311582510342848375470898232994045817004098021970760152159596204827618310469237755999158437338867356525914689792984493769745786, 39350929117285087495337625893160902206861214552420213592808660616979817181282985188681970699854529753410052089841502733308050090844852320529861105193532227487050897192110575587483485095140947203315792415871854215614421318649957625540180060779606042599674474138025645250938366786330237859922366662656565778275035752333951049768611299826943341, 40195649276240140248792832599249324759213738941884142731018652361843611200569982777725561337895209093867244169539955682000422186085596334600223681125617260197469317126575819716159694171488006922809049128511771711922074923964495091607608661871395925645782175811289296092312718467285841096491091556592754173389511248631511192113043914365891197], 'aut_phi_ratio': 6.166666666666667, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 37, 2, 1], [3, 37, 1, 2], [4, 1, 2, 1], [4, 37, 2, 1], [4, 37, 4, 2], [6, 37, 1, 2], [6, 37, 2, 2], [9, 37, 1, 6], [12, 37, 2, 4], [12, 37, 4, 4], [18, 37, 1, 6], [18, 37, 2, 6], [36, 37, 2, 12], [36, 37, 4, 12], [37, 36, 1, 1], [74, 36, 1, 1], [148, 36, 2, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{74}.C_{36}.C_2^2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '8.3', 'autcent_hash': 3, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'D_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 1332, 'autcentquo_group': '1332.31', 'autcentquo_hash': 31, 'autcentquo_nilpotent': False, 'autcentquo_order': 1332, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{37}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 37, 2], [3, 37, 2], [4, 1, 2], [4, 37, 10], [6, 37, 6], [9, 37, 6], [12, 37, 24], [18, 37, 18], [36, 37, 72], [37, 36, 1], [74, 36, 1], [148, 36, 2]], 'center_label': '4.1', 'center_order': 4, 'central_product': True, 'central_quotient': '1332.31', 'commutator_count': 1, 'commutator_label': '37.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '37.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['1332.31', 1], ['4.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 37, 1, 2], [3, 37, 2, 1], [4, 1, 2, 1], [4, 37, 2, 5], [6, 37, 2, 3], [9, 37, 6, 1], [12, 37, 4, 6], [18, 37, 6, 3], [36, 37, 12, 6], [37, 36, 1, 1], [74, 36, 1, 1], [148, 36, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 864, 'exponent': 1332, 'exponents_of_order': [4, 2, 1], 'factors_of_aut_order': [2, 3, 37], 'factors_of_order': [2, 3, 37], 'faithful_reps': [[36, 0, 2]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '2664.b', 'hash': 6895881831525668864, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 1332, 'inner_gen_orders': [36, 37], 'inner_gens': [[1, 3348], [2017, 36]], 'inner_hash': 31, 'inner_nilpotent': False, 'inner_order': 1332, 'inner_split': True, 'inner_tex': 'F_{37}', 'inner_used': [1, 2], 'irrC_degree': 36, 'irrQ_degree': 72, 'irrQ_dim': 72, 'irrR_degree': 72, 'irrep_stats': [[1, 144], [36, 4]], 'label': '5328.a', 'linC_count': 2, 'linC_degree': 36, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 38, 'linQ_degree_count': 8, 'linQ_dim': 38, 'linQ_dim_count': 8, 'linR_count': 72, 'linR_degree': 38, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C4*F37', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 66, 'number_characteristic_subgroups': 24, 'number_conjugacy_classes': 148, 'number_divisions': 33, 'number_normal_subgroups': 48, 'number_subgroup_autclasses': 60, 'number_subgroup_classes': 90, 'number_subgroups': 1602, 'old_label': None, 'order': 5328, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 75], [3, 74], [4, 372], [6, 222], [9, 222], [12, 888], [18, 666], [36, 2664], [37, 36], [74, 36], [148, 72]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 5292], [1333, 2628]], 'outer_group': '8.3', 'outer_hash': 3, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 4, 'outer_perms': [16, 17], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 41, 'pgroup': 0, 'primary_abelian_invariants': [4, 4, 9], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 6], [6, 4], [12, 6], [36, 2], [72, 1]], 'representations': {'PC': {'code': '39939779705054058116530257761525001892207747678498466876880329950989298458826595', 'gens': [1, 5], 'pres': [7, -2, -2, -3, -3, -2, -2, -37, 14, 36, 79, 117184, 40961, 25533, 12730, 102, 57461, 98292, 5311, 11870, 124, 134070, 98797, 12368, 5907]}, 'GLFp': {'d': 2, 'p': 37, 'gens': [50691, 101307, 303949]}, 'Perm': {'d': 41, 'gens': [21473368871110751511871808535677280198638965689, 42422194057132037556080250419018120474409063249, 838476761785040068565130088276053895264830101040]}}, 'schur_multiplier': [4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [4, 36], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_4\\times F_{37}', 'transitive_degree': 148, '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: 110591431
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 5328, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 110591491
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 1, 'group_order': 5328, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 2664, 'size': 1}
  • id: 110591502
    {'aut_label': '2B', 'centralizer': '37.a1.a1', 'counter': 3, 'group_counter': 1, 'group_order': 5328, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 18, 'size': 37}
  • id: 110591513
    {'aut_label': '2B', 'centralizer': '37.a1.a1', 'counter': 4, 'group_counter': 1, 'group_order': 5328, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 2826, 'size': 37}
  • id: 110591524
    {'aut_label': '3A1', 'centralizer': '37.a1.a1', 'counter': 5, 'group_counter': 1, 'group_order': 5328, 'label': '3A1', 'order': 3, 'powers': [6, 1, 5], 'representative': 12, 'size': 37}
  • id: 110591535
    {'aut_label': '3A-1', 'centralizer': '37.a1.a1', 'counter': 6, 'group_counter': 1, 'group_order': 5328, 'label': '3A-1', 'order': 3, 'powers': [5, 1, 6], 'representative': 24, 'size': 37}
  • id: 110591546
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 1, 'group_order': 5328, 'label': '4A1', 'order': 4, 'powers': [2, 8, 7], 'representative': 1332, 'size': 1}
  • id: 110591557
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 1, 'group_order': 5328, 'label': '4A-1', 'order': 4, 'powers': [2, 7, 8], 'representative': 3996, 'size': 1}
  • id: 110591568
    {'aut_label': '4B1', 'centralizer': '37.a1.a1', 'counter': 9, 'group_counter': 1, 'group_order': 5328, 'label': '4B1', 'order': 4, 'powers': [3, 10, 9], 'representative': 9, 'size': 37}
  • id: 110591432
    {'aut_label': '4B-1', 'centralizer': '37.a1.a1', 'counter': 10, 'group_counter': 1, 'group_order': 5328, 'label': '4B-1', 'order': 4, 'powers': [3, 9, 10], 'representative': 27, 'size': 37}
  • id: 110591443
    {'aut_label': '4C1', 'centralizer': '37.a1.a1', 'counter': 11, 'group_counter': 1, 'group_order': 5328, 'label': '4C1', 'order': 4, 'powers': [2, 12, 11], 'representative': 3222, 'size': 37}
  • id: 110591454
    {'aut_label': '4C1', 'centralizer': '37.a1.a1', 'counter': 12, 'group_counter': 1, 'group_order': 5328, 'label': '4C-1', 'order': 4, 'powers': [2, 11, 12], 'representative': 558, 'size': 37}
  • id: 110591465
    {'aut_label': '4B1', 'centralizer': '37.a1.a1', 'counter': 13, 'group_counter': 1, 'group_order': 5328, 'label': '4D1', 'order': 4, 'powers': [3, 14, 13], 'representative': 1953, 'size': 37}
  • id: 110591476
    {'aut_label': '4B-1', 'centralizer': '37.a1.a1', 'counter': 14, 'group_counter': 1, 'group_order': 5328, 'label': '4D-1', 'order': 4, 'powers': [3, 13, 14], 'representative': 3699, 'size': 37}
  • id: 110591486
    {'aut_label': '4B1', 'centralizer': '37.a1.a1', 'counter': 15, 'group_counter': 1, 'group_order': 5328, 'label': '4E1', 'order': 4, 'powers': [4, 16, 15], 'representative': 3645, 'size': 37}
  • id: 110591487
    {'aut_label': '4B-1', 'centralizer': '37.a1.a1', 'counter': 16, 'group_counter': 1, 'group_order': 5328, 'label': '4E-1', 'order': 4, 'powers': [4, 15, 16], 'representative': 1863, 'size': 37}
  • id: 110591488
    {'aut_label': '4B1', 'centralizer': '37.a1.a1', 'counter': 17, 'group_counter': 1, 'group_order': 5328, 'label': '4F1', 'order': 4, 'powers': [4, 18, 17], 'representative': 261, 'size': 37}
  • id: 110591489
    {'aut_label': '4B-1', 'centralizer': '37.a1.a1', 'counter': 18, 'group_counter': 1, 'group_order': 5328, 'label': '4F-1', 'order': 4, 'powers': [4, 17, 18], 'representative': 207, 'size': 37}
  • id: 110591490
    {'aut_label': '6A1', 'centralizer': '37.a1.a1', 'counter': 19, 'group_counter': 1, 'group_order': 5328, 'label': '6A1', 'order': 6, 'powers': [5, 3, 19], 'representative': 6, 'size': 37}
  • id: 110591492
    {'aut_label': '6A-1', 'centralizer': '37.a1.a1', 'counter': 20, 'group_counter': 1, 'group_order': 5328, 'label': '6A-1', 'order': 6, 'powers': [6, 3, 20], 'representative': 30, 'size': 37}
  • id: 110591493
    {'aut_label': '6B1', 'centralizer': '37.a1.a1', 'counter': 21, 'group_counter': 1, 'group_order': 5328, 'label': '6B1', 'order': 6, 'powers': [5, 2, 21], 'representative': 5280, 'size': 37}
  • id: 110591494
    {'aut_label': '6B-1', 'centralizer': '37.a1.a1', 'counter': 22, 'group_counter': 1, 'group_order': 5328, 'label': '6B-1', 'order': 6, 'powers': [6, 2, 22], 'representative': 3396, 'size': 37}
  • id: 110591495
    {'aut_label': '6A1', 'centralizer': '37.a1.a1', 'counter': 23, 'group_counter': 1, 'group_order': 5328, 'label': '6C1', 'order': 6, 'powers': [5, 4, 23], 'representative': 1950, 'size': 37}
  • id: 110591496
    {'aut_label': '6A-1', 'centralizer': '37.a1.a1', 'counter': 24, 'group_counter': 1, 'group_order': 5328, 'label': '6C-1', 'order': 6, 'powers': [6, 4, 24], 'representative': 822, 'size': 37}
  • id: 110591497
    {'aut_label': '9A1', 'centralizer': '37.a1.a1', 'counter': 25, 'group_counter': 1, 'group_order': 5328, 'label': '9A1', 'order': 9, 'powers': [27, 5, 25], 'representative': 4, 'size': 37}
  • id: 110591498
    {'aut_label': '9A-1', 'centralizer': '37.a1.a1', 'counter': 26, 'group_counter': 1, 'group_order': 5328, 'label': '9A-1', 'order': 9, 'powers': [28, 6, 26], 'representative': 32, 'size': 37}
  • id: 110591499
    {'aut_label': '9A2', 'centralizer': '37.a1.a1', 'counter': 27, 'group_counter': 1, 'group_order': 5328, 'label': '9A2', 'order': 9, 'powers': [29, 6, 27], 'representative': 8, 'size': 37}
  • id: 110591500
    {'aut_label': '9A-2', 'centralizer': '37.a1.a1', 'counter': 28, 'group_counter': 1, 'group_order': 5328, 'label': '9A-2', 'order': 9, 'powers': [30, 5, 28], 'representative': 28, 'size': 37}
  • id: 110591501
    {'aut_label': '9A4', 'centralizer': '37.a1.a1', 'counter': 29, 'group_counter': 1, 'group_order': 5328, 'label': '9A4', 'order': 9, 'powers': [26, 5, 29], 'representative': 16, 'size': 37}
  • id: 110591503
    {'aut_label': '9A-4', 'centralizer': '37.a1.a1', 'counter': 30, 'group_counter': 1, 'group_order': 5328, 'label': '9A-4', 'order': 9, 'powers': [25, 6, 30], 'representative': 20, 'size': 37}
  • id: 110591504
    {'aut_label': '12A1', 'centralizer': '37.a1.a1', 'counter': 31, 'group_counter': 1, 'group_order': 5328, 'label': '12A1', 'order': 12, 'powers': [19, 9, 31], 'representative': 3, 'size': 37}
  • id: 110591505
    {'aut_label': '12A-1', 'centralizer': '37.a1.a1', 'counter': 32, 'group_counter': 1, 'group_order': 5328, 'label': '12A-1', 'order': 12, 'powers': [20, 10, 32], 'representative': 33, 'size': 37}
  • id: 110591506
    {'aut_label': '12A5', 'centralizer': '37.a1.a1', 'counter': 33, 'group_counter': 1, 'group_order': 5328, 'label': '12A5', 'order': 12, 'powers': [20, 9, 33], 'representative': 15, 'size': 37}
  • id: 110591507
    {'aut_label': '12A-5', 'centralizer': '37.a1.a1', 'counter': 34, 'group_counter': 1, 'group_order': 5328, 'label': '12A-5', 'order': 12, 'powers': [19, 10, 34], 'representative': 21, 'size': 37}
  • id: 110591508
    {'aut_label': '12B1', 'centralizer': '37.a1.a1', 'counter': 35, 'group_counter': 1, 'group_order': 5328, 'label': '12B1', 'order': 12, 'powers': [21, 7, 35], 'representative': 4728, 'size': 37}
  • id: 110591509
    {'aut_label': '12B-1', 'centralizer': '37.a1.a1', 'counter': 36, 'group_counter': 1, 'group_order': 5328, 'label': '12B-1', 'order': 12, 'powers': [22, 8, 36], 'representative': 3948, 'size': 37}
  • id: 110591510
    {'aut_label': '12B-1', 'centralizer': '37.a1.a1', 'counter': 37, 'group_counter': 1, 'group_order': 5328, 'label': '12B5', 'order': 12, 'powers': [22, 7, 37], 'representative': 1284, 'size': 37}
  • id: 110591511
    {'aut_label': '12B1', 'centralizer': '37.a1.a1', 'counter': 38, 'group_counter': 1, 'group_order': 5328, 'label': '12B-5', 'order': 12, 'powers': [21, 8, 38], 'representative': 2064, 'size': 37}
  • id: 110591512
    {'aut_label': '12C1', 'centralizer': '37.a1.a1', 'counter': 39, 'group_counter': 1, 'group_order': 5328, 'label': '12C1', 'order': 12, 'powers': [22, 11, 39], 'representative': 5298, 'size': 37}
  • id: 110591514
    {'aut_label': '12C-1', 'centralizer': '37.a1.a1', 'counter': 40, 'group_counter': 1, 'group_order': 5328, 'label': '12C-1', 'order': 12, 'powers': [21, 12, 40], 'representative': 3666, 'size': 37}
  • id: 110591515
    {'aut_label': '12C-1', 'centralizer': '37.a1.a1', 'counter': 41, 'group_counter': 1, 'group_order': 5328, 'label': '12C5', 'order': 12, 'powers': [21, 11, 41], 'representative': 1002, 'size': 37}
  • id: 110591516
    {'aut_label': '12C1', 'centralizer': '37.a1.a1', 'counter': 42, 'group_counter': 1, 'group_order': 5328, 'label': '12C-5', 'order': 12, 'powers': [22, 12, 42], 'representative': 2634, 'size': 37}
  • id: 110591517
    {'aut_label': '12A1', 'centralizer': '37.a1.a1', 'counter': 43, 'group_counter': 1, 'group_order': 5328, 'label': '12D1', 'order': 12, 'powers': [19, 13, 43], 'representative': 795, 'size': 37}
  • id: 110591518
    {'aut_label': '12A-1', 'centralizer': '37.a1.a1', 'counter': 44, 'group_counter': 1, 'group_order': 5328, 'label': '12D-1', 'order': 12, 'powers': [20, 14, 44], 'representative': 1689, 'size': 37}
  • id: 110591519
    {'aut_label': '12A5', 'centralizer': '37.a1.a1', 'counter': 45, 'group_counter': 1, 'group_order': 5328, 'label': '12D5', 'order': 12, 'powers': [20, 13, 45], 'representative': 3975, 'size': 37}
  • id: 110591520
    {'aut_label': '12A-5', 'centralizer': '37.a1.a1', 'counter': 46, 'group_counter': 1, 'group_order': 5328, 'label': '12D-5', 'order': 12, 'powers': [19, 14, 46], 'representative': 4845, 'size': 37}
  • id: 110591521
    {'aut_label': '12A1', 'centralizer': '37.a1.a1', 'counter': 47, 'group_counter': 1, 'group_order': 5328, 'label': '12E1', 'order': 12, 'powers': [23, 15, 47], 'representative': 399, 'size': 37}
  • id: 110591522
    {'aut_label': '12A-1', 'centralizer': '37.a1.a1', 'counter': 48, 'group_counter': 1, 'group_order': 5328, 'label': '12E-1', 'order': 12, 'powers': [24, 16, 48], 'representative': 3525, 'size': 37}
  • id: 110591523
    {'aut_label': '12A5', 'centralizer': '37.a1.a1', 'counter': 49, 'group_counter': 1, 'group_order': 5328, 'label': '12E5', 'order': 12, 'powers': [24, 15, 49], 'representative': 1995, 'size': 37}
  • id: 110591525
    {'aut_label': '12A-5', 'centralizer': '37.a1.a1', 'counter': 50, 'group_counter': 1, 'group_order': 5328, 'label': '12E-5', 'order': 12, 'powers': [23, 16, 50], 'representative': 5097, 'size': 37}
  • id: 110591526
    {'aut_label': '12A1', 'centralizer': '37.a1.a1', 'counter': 51, 'group_counter': 1, 'group_order': 5328, 'label': '12F1', 'order': 12, 'powers': [23, 17, 51], 'representative': 1191, 'size': 37}
  • id: 110591527
    {'aut_label': '12A-1', 'centralizer': '37.a1.a1', 'counter': 52, 'group_counter': 1, 'group_order': 5328, 'label': '12F-1', 'order': 12, 'powers': [24, 18, 52], 'representative': 5181, 'size': 37}
  • id: 110591528
    {'aut_label': '12A5', 'centralizer': '37.a1.a1', 'counter': 53, 'group_counter': 1, 'group_order': 5328, 'label': '12F5', 'order': 12, 'powers': [24, 17, 53], 'representative': 627, 'size': 37}
  • id: 110591529
    {'aut_label': '12A-5', 'centralizer': '37.a1.a1', 'counter': 54, 'group_counter': 1, 'group_order': 5328, 'label': '12F-5', 'order': 12, 'powers': [23, 18, 54], 'representative': 4593, 'size': 37}
  • id: 110591530
    {'aut_label': '18A1', 'centralizer': '37.a1.a1', 'counter': 55, 'group_counter': 1, 'group_order': 5328, 'label': '18A1', 'order': 18, 'powers': [25, 19, 55], 'representative': 2, 'size': 37}
  • id: 110591531
    {'aut_label': '18A-1', 'centralizer': '37.a1.a1', 'counter': 56, 'group_counter': 1, 'group_order': 5328, 'label': '18A-1', 'order': 18, 'powers': [26, 20, 56], 'representative': 34, 'size': 37}
  • id: 110591532
    {'aut_label': '18A5', 'centralizer': '37.a1.a1', 'counter': 57, 'group_counter': 1, 'group_order': 5328, 'label': '18A5', 'order': 18, 'powers': [30, 20, 57], 'representative': 10, 'size': 37}
  • id: 110591533
    {'aut_label': '18A-5', 'centralizer': '37.a1.a1', 'counter': 58, 'group_counter': 1, 'group_order': 5328, 'label': '18A-5', 'order': 18, 'powers': [29, 19, 58], 'representative': 26, 'size': 37}
  • id: 110591534
    {'aut_label': '18A7', 'centralizer': '37.a1.a1', 'counter': 59, 'group_counter': 1, 'group_order': 5328, 'label': '18A7', 'order': 18, 'powers': [28, 19, 59], 'representative': 14, 'size': 37}
  • id: 110591536
    {'aut_label': '18A-7', 'centralizer': '37.a1.a1', 'counter': 60, 'group_counter': 1, 'group_order': 5328, 'label': '18A-7', 'order': 18, 'powers': [27, 20, 60], 'representative': 22, 'size': 37}
  • id: 110591537
    {'aut_label': '18B1', 'centralizer': '37.a1.a1', 'counter': 61, 'group_counter': 1, 'group_order': 5328, 'label': '18B1', 'order': 18, 'powers': [29, 21, 61], 'representative': 2960, 'size': 37}
  • id: 110591538
    {'aut_label': '18B-1', 'centralizer': '37.a1.a1', 'counter': 62, 'group_counter': 1, 'group_order': 5328, 'label': '18B-1', 'order': 18, 'powers': [30, 22, 62], 'representative': 3556, 'size': 37}
  • id: 110591539
    {'aut_label': '18B5', 'centralizer': '37.a1.a1', 'counter': 63, 'group_counter': 1, 'group_order': 5328, 'label': '18B5', 'order': 18, 'powers': [27, 22, 63], 'representative': 1372, 'size': 37}
  • id: 110591540
    {'aut_label': '18B-5', 'centralizer': '37.a1.a1', 'counter': 64, 'group_counter': 1, 'group_order': 5328, 'label': '18B-5', 'order': 18, 'powers': [28, 21, 64], 'representative': 2120, 'size': 37}
  • id: 110591541
    {'aut_label': '18B7', 'centralizer': '37.a1.a1', 'counter': 65, 'group_counter': 1, 'group_order': 5328, 'label': '18B7', 'order': 18, 'powers': [25, 21, 65], 'representative': 956, 'size': 37}
  • id: 110591542
    {'aut_label': '18B-7', 'centralizer': '37.a1.a1', 'counter': 66, 'group_counter': 1, 'group_order': 5328, 'label': '18B-7', 'order': 18, 'powers': [26, 22, 66], 'representative': 1096, 'size': 37}
  • id: 110591543
    {'aut_label': '18A1', 'centralizer': '37.a1.a1', 'counter': 67, 'group_counter': 1, 'group_order': 5328, 'label': '18C1', 'order': 18, 'powers': [25, 23, 67], 'representative': 3386, 'size': 37}
  • id: 110591544
    {'aut_label': '18A-1', 'centralizer': '37.a1.a1', 'counter': 68, 'group_counter': 1, 'group_order': 5328, 'label': '18C-1', 'order': 18, 'powers': [26, 24, 68], 'representative': 5146, 'size': 37}
  • id: 110591545
    {'aut_label': '18A5', 'centralizer': '37.a1.a1', 'counter': 69, 'group_counter': 1, 'group_order': 5328, 'label': '18C5', 'order': 18, 'powers': [30, 24, 69], 'representative': 2530, 'size': 37}
  • id: 110591547
    {'aut_label': '18A-5', 'centralizer': '37.a1.a1', 'counter': 70, 'group_counter': 1, 'group_order': 5328, 'label': '18C-5', 'order': 18, 'powers': [29, 23, 70], 'representative': 962, 'size': 37}
  • id: 110591548
    {'aut_label': '18A7', 'centralizer': '37.a1.a1', 'counter': 71, 'group_counter': 1, 'group_order': 5328, 'label': '18C7', 'order': 18, 'powers': [28, 23, 71], 'representative': 1238, 'size': 37}
  • id: 110591549
    {'aut_label': '18A-7', 'centralizer': '37.a1.a1', 'counter': 72, 'group_counter': 1, 'group_order': 5328, 'label': '18C-7', 'order': 18, 'powers': [27, 24, 72], 'representative': 3262, 'size': 37}
  • id: 110591550
    {'aut_label': '36A1', 'centralizer': '37.a1.a1', 'counter': 73, 'group_counter': 1, 'group_order': 5328, 'label': '36A1', 'order': 36, 'powers': [55, 31, 73], 'representative': 1, 'size': 37}
  • id: 110591551
    {'aut_label': '36A-1', 'centralizer': '37.a1.a1', 'counter': 74, 'group_counter': 1, 'group_order': 5328, 'label': '36A-1', 'order': 36, 'powers': [56, 32, 74], 'representative': 35, 'size': 37}
  • id: 110591552
    {'aut_label': '36A5', 'centralizer': '37.a1.a1', 'counter': 75, 'group_counter': 1, 'group_order': 5328, 'label': '36A5', 'order': 36, 'powers': [57, 33, 75], 'representative': 5, 'size': 37}
  • id: 110591553
    {'aut_label': '36A-5', 'centralizer': '37.a1.a1', 'counter': 76, 'group_counter': 1, 'group_order': 5328, 'label': '36A-5', 'order': 36, 'powers': [58, 34, 76], 'representative': 31, 'size': 37}
  • id: 110591554
    {'aut_label': '36A7', 'centralizer': '37.a1.a1', 'counter': 77, 'group_counter': 1, 'group_order': 5328, 'label': '36A7', 'order': 36, 'powers': [59, 34, 77], 'representative': 7, 'size': 37}
  • id: 110591555
    {'aut_label': '36A-7', 'centralizer': '37.a1.a1', 'counter': 78, 'group_counter': 1, 'group_order': 5328, 'label': '36A-7', 'order': 36, 'powers': [60, 33, 78], 'representative': 29, 'size': 37}
  • id: 110591556
    {'aut_label': '36A11', 'centralizer': '37.a1.a1', 'counter': 79, 'group_counter': 1, 'group_order': 5328, 'label': '36A11', 'order': 36, 'powers': [60, 32, 79], 'representative': 11, 'size': 37}
  • id: 110591558
    {'aut_label': '36A-11', 'centralizer': '37.a1.a1', 'counter': 80, 'group_counter': 1, 'group_order': 5328, 'label': '36A-11', 'order': 36, 'powers': [59, 31, 80], 'representative': 25, 'size': 37}
  • id: 110591559
    {'aut_label': '36A13', 'centralizer': '37.a1.a1', 'counter': 81, 'group_counter': 1, 'group_order': 5328, 'label': '36A13', 'order': 36, 'powers': [58, 31, 81], 'representative': 13, 'size': 37}
  • id: 110591560
    {'aut_label': '36A-13', 'centralizer': '37.a1.a1', 'counter': 82, 'group_counter': 1, 'group_order': 5328, 'label': '36A-13', 'order': 36, 'powers': [57, 32, 82], 'representative': 23, 'size': 37}
  • id: 110591561
    {'aut_label': '36A17', 'centralizer': '37.a1.a1', 'counter': 83, 'group_counter': 1, 'group_order': 5328, 'label': '36A17', 'order': 36, 'powers': [56, 33, 83], 'representative': 17, 'size': 37}
  • id: 110591562
    {'aut_label': '36A-17', 'centralizer': '37.a1.a1', 'counter': 84, 'group_counter': 1, 'group_order': 5328, 'label': '36A-17', 'order': 36, 'powers': [55, 34, 84], 'representative': 19, 'size': 37}
  • id: 110591563
    {'aut_label': '36B1', 'centralizer': '37.a1.a1', 'counter': 85, 'group_counter': 1, 'group_order': 5328, 'label': '36B1', 'order': 36, 'powers': [61, 35, 85], 'representative': 40, 'size': 37}
  • id: 110591564
    {'aut_label': '36B-1', 'centralizer': '37.a1.a1', 'counter': 86, 'group_counter': 1, 'group_order': 5328, 'label': '36B-1', 'order': 36, 'powers': [62, 36, 86], 'representative': 140, 'size': 37}
  • id: 110591565
    {'aut_label': '36B5', 'centralizer': '37.a1.a1', 'counter': 87, 'group_counter': 1, 'group_order': 5328, 'label': '36B5', 'order': 36, 'powers': [63, 37, 87], 'representative': 56, 'size': 37}
  • id: 110591566
    {'aut_label': '36B-5', 'centralizer': '37.a1.a1', 'counter': 88, 'group_counter': 1, 'group_order': 5328, 'label': '36B-5', 'order': 36, 'powers': [64, 38, 88], 'representative': 124, 'size': 37}
  • id: 110591567
    {'aut_label': '36B7', 'centralizer': '37.a1.a1', 'counter': 89, 'group_counter': 1, 'group_order': 5328, 'label': '36B7', 'order': 36, 'powers': [65, 38, 89], 'representative': 136, 'size': 37}
  • id: 110591569
    {'aut_label': '36B-7', 'centralizer': '37.a1.a1', 'counter': 90, 'group_counter': 1, 'group_order': 5328, 'label': '36B-7', 'order': 36, 'powers': [66, 37, 90], 'representative': 44, 'size': 37}
  • id: 110591570
    {'aut_label': '36B-7', 'centralizer': '37.a1.a1', 'counter': 91, 'group_counter': 1, 'group_order': 5328, 'label': '36B11', 'order': 36, 'powers': [66, 36, 91], 'representative': 116, 'size': 37}
  • id: 110591571
    {'aut_label': '36B7', 'centralizer': '37.a1.a1', 'counter': 92, 'group_counter': 1, 'group_order': 5328, 'label': '36B-11', 'order': 36, 'powers': [65, 35, 92], 'representative': 64, 'size': 37}
  • id: 110591572
    {'aut_label': '36B-5', 'centralizer': '37.a1.a1', 'counter': 93, 'group_counter': 1, 'group_order': 5328, 'label': '36B13', 'order': 36, 'powers': [64, 35, 93], 'representative': 52, 'size': 37}
  • id: 110591573
    {'aut_label': '36B5', 'centralizer': '37.a1.a1', 'counter': 94, 'group_counter': 1, 'group_order': 5328, 'label': '36B-13', 'order': 36, 'powers': [63, 36, 94], 'representative': 128, 'size': 37}
  • id: 110591574
    {'aut_label': '36B-1', 'centralizer': '37.a1.a1', 'counter': 95, 'group_counter': 1, 'group_order': 5328, 'label': '36B17', 'order': 36, 'powers': [62, 37, 95], 'representative': 68, 'size': 37}
  • id: 110591575
    {'aut_label': '36B1', 'centralizer': '37.a1.a1', 'counter': 96, 'group_counter': 1, 'group_order': 5328, 'label': '36B-17', 'order': 36, 'powers': [61, 38, 96], 'representative': 112, 'size': 37}
  • id: 110591576
    {'aut_label': '36C1', 'centralizer': '37.a1.a1', 'counter': 97, 'group_counter': 1, 'group_order': 5328, 'label': '36C1', 'order': 36, 'powers': [63, 39, 97], 'representative': 38, 'size': 37}
  • id: 110591577
    {'aut_label': '36C-1', 'centralizer': '37.a1.a1', 'counter': 98, 'group_counter': 1, 'group_order': 5328, 'label': '36C-1', 'order': 36, 'powers': [64, 40, 98], 'representative': 142, 'size': 37}
  • id: 110591578
    {'aut_label': '36C5', 'centralizer': '37.a1.a1', 'counter': 99, 'group_counter': 1, 'group_order': 5328, 'label': '36C5', 'order': 36, 'powers': [65, 41, 99], 'representative': 46, 'size': 37}
  • id: 110591433
    {'aut_label': '36C-5', 'centralizer': '37.a1.a1', 'counter': 100, 'group_counter': 1, 'group_order': 5328, 'label': '36C-5', 'order': 36, 'powers': [66, 42, 100], 'representative': 134, 'size': 37}
  • id: 110591434
    {'aut_label': '36C7', 'centralizer': '37.a1.a1', 'counter': 101, 'group_counter': 1, 'group_order': 5328, 'label': '36C7', 'order': 36, 'powers': [62, 42, 101], 'representative': 122, 'size': 37}
  • id: 110591435
    {'aut_label': '36C-7', 'centralizer': '37.a1.a1', 'counter': 102, 'group_counter': 1, 'group_order': 5328, 'label': '36C-7', 'order': 36, 'powers': [61, 41, 102], 'representative': 58, 'size': 37}
  • id: 110591436
    {'aut_label': '36C-7', 'centralizer': '37.a1.a1', 'counter': 103, 'group_counter': 1, 'group_order': 5328, 'label': '36C11', 'order': 36, 'powers': [61, 40, 103], 'representative': 130, 'size': 37}
  • id: 110591437
    {'aut_label': '36C7', 'centralizer': '37.a1.a1', 'counter': 104, 'group_counter': 1, 'group_order': 5328, 'label': '36C-11', 'order': 36, 'powers': [62, 39, 104], 'representative': 50, 'size': 37}
  • id: 110591438
    {'aut_label': '36C-5', 'centralizer': '37.a1.a1', 'counter': 105, 'group_counter': 1, 'group_order': 5328, 'label': '36C13', 'order': 36, 'powers': [66, 39, 105], 'representative': 62, 'size': 37}
  • id: 110591439
    {'aut_label': '36C5', 'centralizer': '37.a1.a1', 'counter': 106, 'group_counter': 1, 'group_order': 5328, 'label': '36C-13', 'order': 36, 'powers': [65, 40, 106], 'representative': 118, 'size': 37}
  • id: 110591440
    {'aut_label': '36C-1', 'centralizer': '37.a1.a1', 'counter': 107, 'group_counter': 1, 'group_order': 5328, 'label': '36C17', 'order': 36, 'powers': [64, 41, 107], 'representative': 70, 'size': 37}
  • id: 110591441
    {'aut_label': '36C1', 'centralizer': '37.a1.a1', 'counter': 108, 'group_counter': 1, 'group_order': 5328, 'label': '36C-17', 'order': 36, 'powers': [63, 42, 108], 'representative': 110, 'size': 37}
  • id: 110591442
    {'aut_label': '36A1', 'centralizer': '37.a1.a1', 'counter': 109, 'group_counter': 1, 'group_order': 5328, 'label': '36D1', 'order': 36, 'powers': [55, 43, 109], 'representative': 73, 'size': 37}
  • id: 110591444
    {'aut_label': '36A-1', 'centralizer': '37.a1.a1', 'counter': 110, 'group_counter': 1, 'group_order': 5328, 'label': '36D-1', 'order': 36, 'powers': [56, 44, 110], 'representative': 107, 'size': 37}
  • id: 110591445
    {'aut_label': '36A5', 'centralizer': '37.a1.a1', 'counter': 111, 'group_counter': 1, 'group_order': 5328, 'label': '36D5', 'order': 36, 'powers': [57, 45, 111], 'representative': 77, 'size': 37}
  • id: 110591446
    {'aut_label': '36A-5', 'centralizer': '37.a1.a1', 'counter': 112, 'group_counter': 1, 'group_order': 5328, 'label': '36D-5', 'order': 36, 'powers': [58, 46, 112], 'representative': 103, 'size': 37}
  • id: 110591447
    {'aut_label': '36A7', 'centralizer': '37.a1.a1', 'counter': 113, 'group_counter': 1, 'group_order': 5328, 'label': '36D7', 'order': 36, 'powers': [59, 46, 113], 'representative': 79, 'size': 37}
  • id: 110591448
    {'aut_label': '36A-7', 'centralizer': '37.a1.a1', 'counter': 114, 'group_counter': 1, 'group_order': 5328, 'label': '36D-7', 'order': 36, 'powers': [60, 45, 114], 'representative': 101, 'size': 37}
  • id: 110591449
    {'aut_label': '36A11', 'centralizer': '37.a1.a1', 'counter': 115, 'group_counter': 1, 'group_order': 5328, 'label': '36D11', 'order': 36, 'powers': [60, 44, 115], 'representative': 83, 'size': 37}
  • id: 110591450
    {'aut_label': '36A-11', 'centralizer': '37.a1.a1', 'counter': 116, 'group_counter': 1, 'group_order': 5328, 'label': '36D-11', 'order': 36, 'powers': [59, 43, 116], 'representative': 97, 'size': 37}
  • id: 110591451
    {'aut_label': '36A13', 'centralizer': '37.a1.a1', 'counter': 117, 'group_counter': 1, 'group_order': 5328, 'label': '36D13', 'order': 36, 'powers': [58, 43, 117], 'representative': 85, 'size': 37}
  • id: 110591452
    {'aut_label': '36A-13', 'centralizer': '37.a1.a1', 'counter': 118, 'group_counter': 1, 'group_order': 5328, 'label': '36D-13', 'order': 36, 'powers': [57, 44, 118], 'representative': 95, 'size': 37}
  • id: 110591453
    {'aut_label': '36A17', 'centralizer': '37.a1.a1', 'counter': 119, 'group_counter': 1, 'group_order': 5328, 'label': '36D17', 'order': 36, 'powers': [56, 45, 119], 'representative': 89, 'size': 37}
  • id: 110591455
    {'aut_label': '36A-17', 'centralizer': '37.a1.a1', 'counter': 120, 'group_counter': 1, 'group_order': 5328, 'label': '36D-17', 'order': 36, 'powers': [55, 46, 120], 'representative': 91, 'size': 37}
  • id: 110591456
    {'aut_label': '36A1', 'centralizer': '37.a1.a1', 'counter': 121, 'group_counter': 1, 'group_order': 5328, 'label': '36E1', 'order': 36, 'powers': [67, 47, 121], 'representative': 37, 'size': 37}
  • id: 110591457
    {'aut_label': '36A-1', 'centralizer': '37.a1.a1', 'counter': 122, 'group_counter': 1, 'group_order': 5328, 'label': '36E-1', 'order': 36, 'powers': [68, 48, 122], 'representative': 143, 'size': 37}
  • id: 110591458
    {'aut_label': '36A5', 'centralizer': '37.a1.a1', 'counter': 123, 'group_counter': 1, 'group_order': 5328, 'label': '36E5', 'order': 36, 'powers': [69, 49, 123], 'representative': 41, 'size': 37}
  • id: 110591459
    {'aut_label': '36A-5', 'centralizer': '37.a1.a1', 'counter': 124, 'group_counter': 1, 'group_order': 5328, 'label': '36E-5', 'order': 36, 'powers': [70, 50, 124], 'representative': 139, 'size': 37}
  • id: 110591460
    {'aut_label': '36A7', 'centralizer': '37.a1.a1', 'counter': 125, 'group_counter': 1, 'group_order': 5328, 'label': '36E7', 'order': 36, 'powers': [71, 50, 125], 'representative': 115, 'size': 37}
  • id: 110591461
    {'aut_label': '36A-7', 'centralizer': '37.a1.a1', 'counter': 126, 'group_counter': 1, 'group_order': 5328, 'label': '36E-7', 'order': 36, 'powers': [72, 49, 126], 'representative': 65, 'size': 37}
  • id: 110591462
    {'aut_label': '36A11', 'centralizer': '37.a1.a1', 'counter': 127, 'group_counter': 1, 'group_order': 5328, 'label': '36E11', 'order': 36, 'powers': [72, 48, 127], 'representative': 119, 'size': 37}
  • id: 110591463
    {'aut_label': '36A-11', 'centralizer': '37.a1.a1', 'counter': 128, 'group_counter': 1, 'group_order': 5328, 'label': '36E-11', 'order': 36, 'powers': [71, 47, 128], 'representative': 61, 'size': 37}
  • id: 110591464
    {'aut_label': '36A13', 'centralizer': '37.a1.a1', 'counter': 129, 'group_counter': 1, 'group_order': 5328, 'label': '36E13', 'order': 36, 'powers': [70, 47, 129], 'representative': 49, 'size': 37}
  • id: 110591466
    {'aut_label': '36A-13', 'centralizer': '37.a1.a1', 'counter': 130, 'group_counter': 1, 'group_order': 5328, 'label': '36E-13', 'order': 36, 'powers': [69, 48, 130], 'representative': 131, 'size': 37}
  • id: 110591467
    {'aut_label': '36A17', 'centralizer': '37.a1.a1', 'counter': 131, 'group_counter': 1, 'group_order': 5328, 'label': '36E17', 'order': 36, 'powers': [68, 49, 131], 'representative': 53, 'size': 37}
  • id: 110591468
    {'aut_label': '36A-17', 'centralizer': '37.a1.a1', 'counter': 132, 'group_counter': 1, 'group_order': 5328, 'label': '36E-17', 'order': 36, 'powers': [67, 50, 132], 'representative': 127, 'size': 37}
  • id: 110591469
    {'aut_label': '36A1', 'centralizer': '37.a1.a1', 'counter': 133, 'group_counter': 1, 'group_order': 5328, 'label': '36F1', 'order': 36, 'powers': [67, 51, 133], 'representative': 109, 'size': 37}
  • id: 110591470
    {'aut_label': '36A-1', 'centralizer': '37.a1.a1', 'counter': 134, 'group_counter': 1, 'group_order': 5328, 'label': '36F-1', 'order': 36, 'powers': [68, 52, 134], 'representative': 71, 'size': 37}
  • id: 110591471
    {'aut_label': '36A5', 'centralizer': '37.a1.a1', 'counter': 135, 'group_counter': 1, 'group_order': 5328, 'label': '36F5', 'order': 36, 'powers': [69, 53, 135], 'representative': 113, 'size': 37}
  • id: 110591472
    {'aut_label': '36A-5', 'centralizer': '37.a1.a1', 'counter': 136, 'group_counter': 1, 'group_order': 5328, 'label': '36F-5', 'order': 36, 'powers': [70, 54, 136], 'representative': 67, 'size': 37}
  • id: 110591473
    {'aut_label': '36A7', 'centralizer': '37.a1.a1', 'counter': 137, 'group_counter': 1, 'group_order': 5328, 'label': '36F7', 'order': 36, 'powers': [71, 54, 137], 'representative': 43, 'size': 37}
  • id: 110591474
    {'aut_label': '36A-7', 'centralizer': '37.a1.a1', 'counter': 138, 'group_counter': 1, 'group_order': 5328, 'label': '36F-7', 'order': 36, 'powers': [72, 53, 138], 'representative': 137, 'size': 37}
  • id: 110591475
    {'aut_label': '36A11', 'centralizer': '37.a1.a1', 'counter': 139, 'group_counter': 1, 'group_order': 5328, 'label': '36F11', 'order': 36, 'powers': [72, 52, 139], 'representative': 47, 'size': 37}
  • id: 110591477
    {'aut_label': '36A-11', 'centralizer': '37.a1.a1', 'counter': 140, 'group_counter': 1, 'group_order': 5328, 'label': '36F-11', 'order': 36, 'powers': [71, 51, 140], 'representative': 133, 'size': 37}
  • id: 110591478
    {'aut_label': '36A13', 'centralizer': '37.a1.a1', 'counter': 141, 'group_counter': 1, 'group_order': 5328, 'label': '36F13', 'order': 36, 'powers': [70, 51, 141], 'representative': 121, 'size': 37}
  • id: 110591479
    {'aut_label': '36A-13', 'centralizer': '37.a1.a1', 'counter': 142, 'group_counter': 1, 'group_order': 5328, 'label': '36F-13', 'order': 36, 'powers': [69, 52, 142], 'representative': 59, 'size': 37}
  • id: 110591480
    {'aut_label': '36A17', 'centralizer': '37.a1.a1', 'counter': 143, 'group_counter': 1, 'group_order': 5328, 'label': '36F17', 'order': 36, 'powers': [68, 53, 143], 'representative': 125, 'size': 37}
  • id: 110591481
    {'aut_label': '36A-17', 'centralizer': '37.a1.a1', 'counter': 144, 'group_counter': 1, 'group_order': 5328, 'label': '36F-17', 'order': 36, 'powers': [67, 54, 144], 'representative': 55, 'size': 37}
  • id: 110591482
    {'aut_label': '37A', 'centralizer': '36.b1.a1', 'counter': 145, 'group_counter': 1, 'group_order': 5328, 'label': '37A', 'order': 37, 'powers': [145, 145, 1], 'representative': 144, 'size': 36}
  • id: 110591483
    {'aut_label': '74A', 'centralizer': '36.b1.a1', 'counter': 146, 'group_counter': 1, 'group_order': 5328, 'label': '74A', 'order': 74, 'powers': [145, 146, 2], 'representative': 72, 'size': 36}
  • id: 110591484
    {'aut_label': '148A1', 'centralizer': '36.b1.a1', 'counter': 147, 'group_counter': 1, 'group_order': 5328, 'label': '148A1', 'order': 148, 'powers': [146, 148, 7], 'representative': 36, 'size': 36}
  • id: 110591485
    {'aut_label': '148A1', 'centralizer': '36.b1.a1', 'counter': 148, 'group_counter': 1, 'group_order': 5328, 'label': '148A-1', 'order': 148, 'powers': [146, 147, 8], 'representative': 108, 'size': 36}
• 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: 4673717
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 4673728
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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: 4673739
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -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: 4673744
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -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: 4673745
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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, 2, 2, 2], 'schur_index': 1}
  • id: 4673746
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, 0, 0, 0, 0, -2, -2, 0, 2, 0, 2, 0, 0, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, -2, 2, 2, 0, 0, 0, 0, -2, 0, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, -2, 0, 2, 2, -2, 0, 2, 2, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 2, 0, -2, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0], 'schur_index': 1}
  • id: 4673747
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1g', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, -2, 0, -2, 0, 0, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 2, -2, -2, 0, 0, 0, 0, 2, 0, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, 0, -2, -2, 2, 0, -2, -2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, -2, 0, 2, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0], 'schur_index': 1}
  • id: 4673748
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1h', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, 2, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, -2, 0, 2, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -2, 0, -2, 0, 2, -2, 0, 0], 'schur_index': 1}
  • id: 4673749
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, 2, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -2, 0, -2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 0, -2, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, -2, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, -2, 0, 0], 'schur_index': 1}
  • id: 4673718
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 2, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, -2, -2, 2, 0, 0, -2, -2, 2, -2, -2, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, -2, -2], 'schur_index': 1}
  • id: 4673719
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -2, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, -2, 0, 0, 2, 2, -2, 2, 2, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 2, 2, 2], 'schur_index': 1}
  • id: 4673720
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1l', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 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, 2, -2, -2], 'schur_index': 1}
  • id: 4673721
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1m', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -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, 2, -2, -2], 'schur_index': 1}
  • id: 4673722
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 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, 2, 2, 2], 'schur_index': 1}
  • id: 4673723
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1o', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 0, 0, 0, 0, -4, -4, 0, 4, 0, 4, 0, 0, -4, 4, -4, -4, 4, -4, -2, -2, -2, -2, -2, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, -4, 4, 4, 0, 0, 0, 0, -4, 0, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, 0, -2, -2, 2, 0, -2, -2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, -2, 0, 2, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 4, -4, 0, 0], 'schur_index': 1}
  • id: 4673724
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1p', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, -4, 0, -4, 0, 0, -4, 4, -4, -4, 4, -4, -2, -2, -2, -2, -2, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, 4, -4, -4, 0, 0, 0, 0, 4, 0, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, -2, 0, 2, 2, -2, 0, 2, 2, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 2, 0, -2, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 4, -4, 0, 0], 'schur_index': 1}
  • id: 4673725
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1q', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 4, 0, 0, -4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, 4, -2, -2, -2, -2, -2, -2, 0, 0, 4, 0, 4, -4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 0, -2, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, -2, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 4, -4, 0, 0], 'schur_index': 1}
  • id: 4673726
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1r', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 4, 0, 0, 4, 4, 0, 0, -4, 0, 0, 0, 0, -4, 4, -4, -4, -4, -4, 4, -2, -2, -2, -2, -2, -2, 0, 0, -4, 0, -4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 4, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, -2, 0, 2, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -2, 0, -2, 0, 4, -4, 0, 0], 'schur_index': 1}
  • id: 4673727
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1s', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, -4, 4, 4, -4, -4, -2, -2, -2, -2, -2, -2, -4, 0, 0, 4, 0, 0, -4, 0, 0, -4, 4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, -2, 0, 0, 2, 2, -2, 2, 2, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 4, 4, -4, -4], 'schur_index': 1}
  • id: 4673729
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1t', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, -4, -4, 4, 4, -4, -4, -2, -2, -2, -2, -2, -2, 4, 0, 0, -4, 0, 0, 4, 0, 0, 4, -4, 0, 0, 0, 4, 0, 0, 0, -4, 0, -4, 0, 0, 0, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, -2, -2, 2, 0, 0, -2, -2, 2, -2, -2, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 4, 4, 4, 4], 'schur_index': 1}
  • id: 4673730
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1u', 'multiplicity': 6, 'nt': [9, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], 'schur_index': 1}
  • id: 4673731
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1v', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, -6, -6, -6, -6, 6, 6, -6, 6, -6, 6, -6, -6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 3, -3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -3, -3, -3, 3, -3, -3, -3, 3, 3, 3, 3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6], 'schur_index': 1}
  • id: 4673732
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1w', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, -6, -6, 6, 6, -6, -6, 6, -6, -6, -6, -6, 6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 3, 3, -3, 3, -3, -3, 3, -3, -3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -3, 3, -3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6], 'schur_index': 1}
  • id: 4673733
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1x', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, 6, 6, -6, -6, -6, -6, -6, -6, 6, -6, 6, -6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, -3, 3, 3, -3, 3, 3, -3, 3, 3, -3, -3, 3, 3, 3, -3, 3, 3, 3, -3, 3, -3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], 'schur_index': 1}
  • id: 4673734
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1y', 'multiplicity': 12, 'nt': [36, 1], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -6, -6, 0, 0, 0, 0, -12, -12, 0, 12, 0, 12, 0, 0, 6, -6, 6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, 6, 0, 6, -6, -6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 0, 0], 'schur_index': 1}
  • id: 4673735
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1z', 'multiplicity': 12, 'nt': [36, 1], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -6, -6, 0, 0, 0, 0, 12, 12, 0, -12, 0, -12, 0, 0, 6, -6, 6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, 0, -6, 6, 6, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 0, 0], 'schur_index': 1}
  • id: 4673736
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1aa', 'multiplicity': 12, 'nt': [36, 1], 'qdim': 12, 'qvalues': [12, -12, 12, -12, -6, -6, 0, 0, -12, -12, 0, 0, 12, 0, 0, 0, 0, 12, -6, 6, 6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 0, 0], 'schur_index': 1}
  • id: 4673737
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1ab', 'multiplicity': 12, 'nt': [36, 1], 'qdim': 12, 'qvalues': [12, -12, 12, -12, -6, -6, 0, 0, 12, 12, 0, 0, -12, 0, 0, 0, 0, -12, -6, 6, 6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, -6, 0, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 0, 0], 'schur_index': 1}
  • id: 4673738
    {'cdim': 1, 'counter': 29, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1ac', 'multiplicity': 12, 'nt': [36, 1], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -6, -6, -12, -12, 0, 0, 0, 0, 0, 0, 12, 0, 12, 0, 6, 6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, -6, 0, 0, 6, 0, 0, 6, -6, 0, 0, 0, 6, 0, 0, 0, -6, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, -12, -12], 'schur_index': 1}
  • id: 4673740
    {'cdim': 1, 'counter': 30, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.1ad', 'multiplicity': 12, 'nt': [36, 1], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -6, -6, 12, 12, 0, 0, 0, 0, 0, 0, -12, 0, -12, 0, 6, 6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, -6, 0, 0, 6, 0, 0, -6, 0, 0, -6, 6, 0, 0, 0, -6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 12], 'schur_index': 1}
  • id: 4673741
    {'cdim': 36, 'counter': 31, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.36a', 'multiplicity': 1, 'nt': [37, 9], 'qdim': 36, 'qvalues': [36, 36, 0, 0, 0, 0, 36, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4673742
    {'cdim': 36, 'counter': 32, 'faithful': False, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.36b', 'multiplicity': 1, 'nt': [74, 0], 'qdim': 36, 'qvalues': [36, 36, 0, 0, 0, 0, -36, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4673743
    {'cdim': 36, 'counter': 33, 'faithful': True, 'group': '5328.a', 'group_order': 5328, 'image': None, 'label': '5328.a.36c', 'multiplicity': 2, 'nt': [148, 0], 'qdim': 72, 'qvalues': [72, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 7498890
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 5328, 'label': '5328.a.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 7499035
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 97, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa1', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 3]], [[-1, 15]], [[1, 12]], [[1, 3]], [[-1, 6]], [[-1, 12]], [[1, 3]], [[1, 6]], [[-1, 12]], [[1, 15]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[1, 3]], [[1, 15]], [[-1, 15]], [[-1, 6]], [[-1, 3]], [[1, 12]], [[1, 15]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 14]], [[1, 16]], [[-1, 14]], [[1, 8]], [[1, 4]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 8]], [[1, 7]], [[1, 8]], [[-1, 10]], [[1, 8]], [[-1, 13]], [[-1, 2]], [[1, 4]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[-1, 17]], [[-1, 1]], [[-1, 17]], [[-1, 17]], [[1, 11]], [[-1, 13]], [[1, 2]], [[-1, 11]], [[1, 14]], [[-1, 16]], [[1, 7]], [[1, 10]], [[1, 13]], [[1, 4]], [[-1, 1]], [[-1, 16]], [[-1, 10]], [[-1, 7]], [[-1, 1]], [[1, 13]], [[-1, 4]], [[-1, 13]], [[1, 17]], [[1, 7]], [[-1, 5]], [[1, 1]], [[1, 16]], [[1, 1]], [[-1, 7]], [[-1, 17]], [[-1, 1]], [[1, 5]], [[-1, 13]], [[1, 1]], [[-1, 2]], [[1, 11]], [[1, 16]], [[-1, 14]], [[1, 17]], [[1, 17]], [[-1, 14]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 17]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 8]], [[1, 13]], [[-1, 4]], [[1, 2]], [[1, 14]], [[-1, 7]], [[1, 10]], [[1, 13]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498898
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 106, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa10', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 15]], [[-1, 3]], [[-1, 6]], [[1, 15]], [[1, 12]], [[1, 6]], [[1, 15]], [[-1, 12]], [[1, 6]], [[1, 3]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 15]], [[1, 3]], [[-1, 3]], [[1, 12]], [[-1, 15]], [[-1, 6]], [[1, 3]], [[-1, 12]], [[1, 10]], [[-1, 14]], [[-1, 10]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 16]], [[1, 2]], [[1, 14]], [[1, 10]], [[-1, 16]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 2]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 17]], [[1, 4]], [[-1, 14]], [[1, 4]], [[1, 11]], [[-1, 10]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 17]], [[1, 7]], [[1, 7]], [[-1, 13]], [[-1, 5]], [[-1, 13]], [[-1, 13]], [[-1, 1]], [[1, 11]], [[1, 10]], [[1, 1]], [[-1, 16]], [[-1, 8]], [[-1, 17]], [[1, 14]], [[-1, 11]], [[-1, 2]], [[-1, 5]], [[-1, 8]], [[-1, 14]], [[1, 17]], [[-1, 5]], [[-1, 11]], [[1, 2]], [[1, 11]], [[1, 13]], [[-1, 17]], [[1, 7]], [[1, 5]], [[1, 8]], [[1, 5]], [[1, 17]], [[-1, 13]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[1, 5]], [[-1, 10]], [[-1, 1]], [[1, 8]], [[1, 16]], [[1, 13]], [[1, 13]], [[1, 16]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[1, 13]], [[-1, 1]], [[-1, 1]], [[-1, 17]], [[1, 7]], [[-1, 4]], [[-1, 11]], [[1, 2]], [[1, 10]], [[-1, 16]], [[1, 17]], [[1, 14]], [[-1, 11]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498899
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 107, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa11', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[1, 3]], [[1, 15]], [[1, 12]], [[-1, 3]], [[-1, 6]], [[-1, 12]], [[-1, 3]], [[1, 6]], [[-1, 12]], [[-1, 15]], [[-1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[-1, 6]], [[1, 3]], [[1, 12]], [[-1, 15]], [[1, 6]], [[1, 14]], [[1, 16]], [[-1, 14]], [[1, 2]], [[1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 13]], [[-1, 2]], [[1, 16]], [[-1, 2]], [[1, 1]], [[-1, 14]], [[-1, 10]], [[-1, 5]], [[-1, 5]], [[-1, 17]], [[-1, 13]], [[1, 17]], [[1, 17]], [[-1, 11]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[1, 1]], [[1, 14]], [[-1, 5]], [[-1, 8]], [[-1, 4]], [[1, 13]], [[-1, 16]], [[-1, 1]], [[-1, 10]], [[-1, 7]], [[-1, 4]], [[1, 16]], [[-1, 13]], [[-1, 7]], [[-1, 1]], [[1, 10]], [[1, 1]], [[1, 11]], [[1, 13]], [[1, 17]], [[1, 7]], [[1, 4]], [[1, 7]], [[-1, 13]], [[-1, 11]], [[-1, 7]], [[-1, 17]], [[1, 1]], [[1, 7]], [[-1, 14]], [[1, 5]], [[1, 4]], [[1, 8]], [[1, 11]], [[1, 11]], [[1, 8]], [[-1, 5]], [[-1, 17]], [[-1, 17]], [[1, 7]], [[1, 11]], [[1, 5]], [[1, 5]], [[1, 13]], [[1, 17]], [[1, 2]], [[-1, 1]], [[1, 10]], [[1, 14]], [[-1, 8]], [[-1, 13]], [[-1, 16]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498900
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 108, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa12', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 15]], [[-1, 3]], [[-1, 6]], [[1, 15]], [[1, 12]], [[1, 6]], [[1, 15]], [[-1, 12]], [[1, 6]], [[1, 3]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 15]], [[1, 3]], [[-1, 3]], [[1, 12]], [[-1, 15]], [[-1, 6]], [[1, 3]], [[-1, 12]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 16]], [[-1, 8]], [[1, 14]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[1, 8]], [[1, 2]], [[1, 14]], [[-1, 16]], [[-1, 16]], [[-1, 5]], [[1, 16]], [[-1, 2]], [[1, 16]], [[-1, 17]], [[1, 4]], [[1, 8]], [[1, 13]], [[1, 13]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[1, 11]], [[1, 7]], [[1, 7]], [[-1, 13]], [[-1, 17]], [[-1, 4]], [[1, 13]], [[1, 10]], [[1, 14]], [[-1, 5]], [[1, 2]], [[1, 17]], [[1, 8]], [[1, 11]], [[1, 14]], [[-1, 2]], [[1, 5]], [[1, 11]], [[1, 17]], [[-1, 8]], [[-1, 17]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 14]], [[-1, 11]], [[1, 5]], [[1, 7]], [[1, 11]], [[1, 1]], [[-1, 17]], [[-1, 11]], [[1, 4]], [[-1, 13]], [[-1, 14]], [[-1, 10]], [[-1, 7]], [[-1, 7]], [[-1, 10]], [[1, 13]], [[1, 1]], [[1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 13]], [[-1, 13]], [[-1, 5]], [[-1, 1]], [[-1, 16]], [[1, 17]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 5]], [[1, 2]], [[1, 17]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499036
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 98, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa2', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[1, 15]], [[1, 3]], [[-1, 6]], [[-1, 15]], [[1, 12]], [[1, 6]], [[-1, 15]], [[-1, 12]], [[1, 6]], [[-1, 3]], [[-1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[1, 12]], [[1, 15]], [[-1, 6]], [[-1, 3]], [[-1, 12]], [[-1, 16]], [[1, 8]], [[1, 16]], [[1, 10]], [[1, 14]], [[1, 2]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 14]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 11]], [[-1, 10]], [[1, 8]], [[-1, 10]], [[1, 5]], [[1, 16]], [[-1, 14]], [[1, 7]], [[1, 7]], [[-1, 13]], [[1, 11]], [[1, 13]], [[1, 13]], [[1, 1]], [[1, 17]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 5]], [[-1, 16]], [[1, 7]], [[-1, 4]], [[1, 2]], [[-1, 11]], [[-1, 8]], [[-1, 5]], [[-1, 14]], [[1, 17]], [[1, 2]], [[1, 8]], [[1, 11]], [[1, 17]], [[-1, 5]], [[1, 14]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[1, 13]], [[-1, 17]], [[-1, 2]], [[-1, 17]], [[1, 11]], [[1, 1]], [[1, 17]], [[-1, 13]], [[1, 5]], [[-1, 17]], [[1, 16]], [[-1, 7]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[-1, 1]], [[1, 4]], [[1, 7]], [[-1, 13]], [[-1, 13]], [[-1, 17]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[1, 13]], [[1, 10]], [[-1, 5]], [[1, 14]], [[-1, 16]], [[-1, 4]], [[1, 11]], [[-1, 8]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499037
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 99, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa3', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 3]], [[-1, 15]], [[1, 12]], [[1, 3]], [[-1, 6]], [[-1, 12]], [[1, 3]], [[1, 6]], [[-1, 12]], [[1, 15]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[1, 3]], [[1, 15]], [[-1, 15]], [[-1, 6]], [[-1, 3]], [[1, 12]], [[1, 15]], [[1, 6]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 14]], [[-1, 16]], [[1, 10]], [[1, 2]], [[-1, 16]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[1, 16]], [[-1, 4]], [[1, 10]], [[1, 14]], [[1, 14]], [[-1, 1]], [[-1, 14]], [[1, 4]], [[-1, 14]], [[1, 7]], [[1, 8]], [[1, 16]], [[1, 17]], [[1, 17]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 11]], [[-1, 5]], [[-1, 13]], [[-1, 5]], [[-1, 5]], [[-1, 17]], [[1, 7]], [[-1, 8]], [[1, 17]], [[1, 2]], [[1, 10]], [[-1, 1]], [[-1, 4]], [[-1, 7]], [[1, 16]], [[-1, 13]], [[1, 10]], [[1, 4]], [[1, 1]], [[-1, 13]], [[-1, 7]], [[-1, 16]], [[1, 7]], [[1, 5]], [[-1, 1]], [[1, 11]], [[1, 13]], [[-1, 10]], [[1, 13]], [[1, 1]], [[-1, 5]], [[-1, 13]], [[-1, 11]], [[1, 7]], [[1, 13]], [[1, 8]], [[-1, 17]], [[-1, 10]], [[-1, 2]], [[1, 5]], [[1, 5]], [[-1, 2]], [[1, 17]], [[-1, 11]], [[-1, 11]], [[1, 13]], [[1, 5]], [[-1, 17]], [[-1, 17]], [[-1, 1]], [[1, 11]], [[1, 14]], [[-1, 7]], [[-1, 16]], [[-1, 8]], [[1, 2]], [[1, 1]], [[-1, 4]], [[-1, 7]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498892
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 100, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa4', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 15]], [[1, 3]], [[-1, 6]], [[-1, 15]], [[1, 12]], [[1, 6]], [[-1, 15]], [[-1, 12]], [[1, 6]], [[-1, 3]], [[-1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[1, 12]], [[1, 15]], [[-1, 6]], [[-1, 3]], [[-1, 12]], [[1, 10]], [[-1, 14]], [[-1, 10]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 16]], [[1, 2]], [[1, 14]], [[1, 10]], [[-1, 16]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 2]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 17]], [[1, 4]], [[-1, 14]], [[1, 4]], [[-1, 11]], [[-1, 10]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 17]], [[-1, 7]], [[-1, 7]], [[1, 13]], [[1, 5]], [[1, 13]], [[1, 13]], [[1, 1]], [[-1, 11]], [[1, 10]], [[-1, 1]], [[-1, 16]], [[-1, 8]], [[1, 17]], [[1, 14]], [[1, 11]], [[-1, 2]], [[1, 5]], [[-1, 8]], [[-1, 14]], [[-1, 17]], [[1, 5]], [[1, 11]], [[1, 2]], [[-1, 11]], [[-1, 13]], [[1, 17]], [[-1, 7]], [[-1, 5]], [[1, 8]], [[-1, 5]], [[-1, 17]], [[1, 13]], [[1, 5]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 10]], [[1, 1]], [[1, 8]], [[1, 16]], [[-1, 13]], [[-1, 13]], [[1, 16]], [[-1, 1]], [[1, 7]], [[1, 7]], [[-1, 5]], [[-1, 13]], [[1, 1]], [[1, 1]], [[1, 17]], [[-1, 7]], [[-1, 4]], [[1, 11]], [[1, 2]], [[1, 10]], [[-1, 16]], [[-1, 17]], [[1, 14]], [[1, 11]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498893
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 101, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa5', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 3]], [[-1, 15]], [[1, 12]], [[1, 3]], [[-1, 6]], [[-1, 12]], [[1, 3]], [[1, 6]], [[-1, 12]], [[1, 15]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[1, 3]], [[1, 15]], [[-1, 15]], [[-1, 6]], [[-1, 3]], [[1, 12]], [[1, 15]], [[1, 6]], [[1, 14]], [[1, 16]], [[-1, 14]], [[1, 2]], [[1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 13]], [[-1, 2]], [[1, 16]], [[-1, 2]], [[-1, 1]], [[-1, 14]], [[-1, 10]], [[1, 5]], [[1, 5]], [[1, 17]], [[1, 13]], [[-1, 17]], [[-1, 17]], [[1, 11]], [[1, 7]], [[1, 11]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[1, 14]], [[1, 5]], [[-1, 8]], [[-1, 4]], [[-1, 13]], [[-1, 16]], [[1, 1]], [[-1, 10]], [[1, 7]], [[-1, 4]], [[1, 16]], [[1, 13]], [[1, 7]], [[1, 1]], [[1, 10]], [[-1, 1]], [[-1, 11]], [[-1, 13]], [[-1, 17]], [[-1, 7]], [[1, 4]], [[-1, 7]], [[1, 13]], [[1, 11]], [[1, 7]], [[1, 17]], [[-1, 1]], [[-1, 7]], [[-1, 14]], [[-1, 5]], [[1, 4]], [[1, 8]], [[-1, 11]], [[-1, 11]], [[1, 8]], [[1, 5]], [[1, 17]], [[1, 17]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 13]], [[-1, 17]], [[1, 2]], [[1, 1]], [[1, 10]], [[1, 14]], [[-1, 8]], [[1, 13]], [[-1, 16]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498894
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 102, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa6', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 15]], [[1, 3]], [[-1, 6]], [[-1, 15]], [[1, 12]], [[1, 6]], [[-1, 15]], [[-1, 12]], [[1, 6]], [[-1, 3]], [[-1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[1, 12]], [[1, 15]], [[-1, 6]], [[-1, 3]], [[-1, 12]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 16]], [[-1, 8]], [[1, 14]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[1, 8]], [[1, 2]], [[1, 14]], [[-1, 16]], [[-1, 16]], [[1, 5]], [[1, 16]], [[-1, 2]], [[1, 16]], [[1, 17]], [[1, 4]], [[1, 8]], [[-1, 13]], [[-1, 13]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 7]], [[-1, 11]], [[-1, 7]], [[-1, 7]], [[1, 13]], [[1, 17]], [[-1, 4]], [[-1, 13]], [[1, 10]], [[1, 14]], [[1, 5]], [[1, 2]], [[-1, 17]], [[1, 8]], [[-1, 11]], [[1, 14]], [[-1, 2]], [[-1, 5]], [[-1, 11]], [[-1, 17]], [[-1, 8]], [[1, 17]], [[1, 7]], [[1, 5]], [[1, 1]], [[1, 11]], [[-1, 14]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 1]], [[1, 17]], [[1, 11]], [[1, 4]], [[1, 13]], [[-1, 14]], [[-1, 10]], [[1, 7]], [[1, 7]], [[-1, 10]], [[-1, 13]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[1, 7]], [[1, 13]], [[1, 13]], [[1, 5]], [[1, 1]], [[-1, 16]], [[-1, 17]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[-1, 5]], [[1, 2]], [[-1, 17]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498895
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 103, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa7', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 3]], [[1, 15]], [[1, 12]], [[-1, 3]], [[-1, 6]], [[-1, 12]], [[-1, 3]], [[1, 6]], [[-1, 12]], [[-1, 15]], [[-1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[-1, 6]], [[1, 3]], [[1, 12]], [[-1, 15]], [[1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 14]], [[1, 16]], [[-1, 14]], [[1, 8]], [[1, 4]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 8]], [[-1, 7]], [[1, 8]], [[-1, 10]], [[1, 8]], [[1, 13]], [[-1, 2]], [[1, 4]], [[1, 11]], [[1, 11]], [[-1, 5]], [[1, 7]], [[1, 5]], [[1, 5]], [[1, 17]], [[1, 1]], [[1, 17]], [[1, 17]], [[-1, 11]], [[1, 13]], [[1, 2]], [[1, 11]], [[1, 14]], [[-1, 16]], [[-1, 7]], [[1, 10]], [[-1, 13]], [[1, 4]], [[1, 1]], [[-1, 16]], [[-1, 10]], [[1, 7]], [[1, 1]], [[-1, 13]], [[-1, 4]], [[1, 13]], [[-1, 17]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[1, 16]], [[-1, 1]], [[1, 7]], [[1, 17]], [[1, 1]], [[-1, 5]], [[1, 13]], [[-1, 1]], [[-1, 2]], [[-1, 11]], [[1, 16]], [[-1, 14]], [[-1, 17]], [[-1, 17]], [[-1, 14]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 17]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[-1, 8]], [[-1, 13]], [[-1, 4]], [[1, 2]], [[1, 14]], [[1, 7]], [[1, 10]], [[-1, 13]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498896
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 104, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa8', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[-1, 15]], [[-1, 3]], [[-1, 6]], [[1, 15]], [[1, 12]], [[1, 6]], [[1, 15]], [[-1, 12]], [[1, 6]], [[1, 3]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 15]], [[1, 3]], [[-1, 3]], [[1, 12]], [[-1, 15]], [[-1, 6]], [[1, 3]], [[-1, 12]], [[-1, 16]], [[1, 8]], [[1, 16]], [[1, 10]], [[1, 14]], [[1, 2]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 14]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 11]], [[-1, 10]], [[1, 8]], [[-1, 10]], [[-1, 5]], [[1, 16]], [[-1, 14]], [[-1, 7]], [[-1, 7]], [[1, 13]], [[-1, 11]], [[-1, 13]], [[-1, 13]], [[-1, 1]], [[-1, 17]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[-1, 16]], [[-1, 7]], [[-1, 4]], [[1, 2]], [[1, 11]], [[-1, 8]], [[1, 5]], [[-1, 14]], [[-1, 17]], [[1, 2]], [[1, 8]], [[-1, 11]], [[-1, 17]], [[1, 5]], [[1, 14]], [[-1, 5]], [[1, 1]], [[1, 11]], [[-1, 13]], [[1, 17]], [[-1, 2]], [[1, 17]], [[-1, 11]], [[-1, 1]], [[-1, 17]], [[1, 13]], [[-1, 5]], [[1, 17]], [[1, 16]], [[1, 7]], [[-1, 2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, 7]], [[1, 13]], [[1, 13]], [[1, 17]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 13]], [[1, 10]], [[1, 5]], [[1, 14]], [[-1, 16]], [[-1, 4]], [[-1, 11]], [[-1, 8]], [[1, 5]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498897
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 105, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.a1', 'kernel_order': 148, 'label': '5328.a.1aa9', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[1, 3]], [[1, 15]], [[1, 12]], [[-1, 3]], [[-1, 6]], [[-1, 12]], [[-1, 3]], [[1, 6]], [[-1, 12]], [[-1, 15]], [[-1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[-1, 6]], [[1, 3]], [[1, 12]], [[-1, 15]], [[1, 6]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 14]], [[-1, 16]], [[1, 10]], [[1, 2]], [[-1, 16]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[1, 16]], [[-1, 4]], [[1, 10]], [[1, 14]], [[1, 14]], [[1, 1]], [[-1, 14]], [[1, 4]], [[-1, 14]], [[-1, 7]], [[1, 8]], [[1, 16]], [[-1, 17]], [[-1, 17]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[1, 13]], [[1, 5]], [[1, 5]], [[1, 17]], [[-1, 7]], [[-1, 8]], [[-1, 17]], [[1, 2]], [[1, 10]], [[1, 1]], [[-1, 4]], [[1, 7]], [[1, 16]], [[1, 13]], [[1, 10]], [[1, 4]], [[-1, 1]], [[1, 13]], [[1, 7]], [[-1, 16]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[-1, 13]], [[-1, 10]], [[-1, 13]], [[-1, 1]], [[1, 5]], [[1, 13]], [[1, 11]], [[-1, 7]], [[-1, 13]], [[1, 8]], [[1, 17]], [[-1, 10]], [[-1, 2]], [[-1, 5]], [[-1, 5]], [[-1, 2]], [[-1, 17]], [[1, 11]], [[1, 11]], [[-1, 13]], [[-1, 5]], [[1, 17]], [[1, 17]], [[1, 1]], [[-1, 11]], [[1, 14]], [[1, 7]], [[-1, 16]], [[-1, 8]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, 7]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498901
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 109, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab1', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 3]], [[1, 15]], [[-1, 12]], [[1, 3]], [[1, 6]], [[1, 12]], [[1, 3]], [[-1, 6]], [[1, 12]], [[1, 15]], [[1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[1, 6]], [[-1, 3]], [[-1, 12]], [[-1, 15]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 14]], [[1, 16]], [[-1, 14]], [[1, 8]], [[1, 4]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[1, 8]], [[1, 7]], [[-1, 8]], [[1, 10]], [[-1, 8]], [[-1, 13]], [[1, 2]], [[-1, 4]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[1, 5]], [[-1, 5]], [[1, 17]], [[1, 1]], [[1, 17]], [[-1, 17]], [[-1, 11]], [[1, 13]], [[-1, 2]], [[-1, 11]], [[-1, 14]], [[1, 16]], [[-1, 7]], [[-1, 10]], [[-1, 13]], [[-1, 4]], [[1, 1]], [[1, 16]], [[1, 10]], [[1, 7]], [[-1, 1]], [[1, 13]], [[1, 4]], [[1, 13]], [[1, 17]], [[1, 7]], [[-1, 5]], [[1, 1]], [[-1, 16]], [[-1, 1]], [[-1, 7]], [[-1, 17]], [[-1, 1]], [[1, 5]], [[-1, 13]], [[1, 1]], [[1, 2]], [[1, 11]], [[-1, 16]], [[1, 14]], [[-1, 17]], [[1, 17]], [[1, 14]], [[1, 11]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 17]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[1, 5]], [[1, 8]], [[1, 13]], [[1, 4]], [[-1, 2]], [[-1, 14]], [[-1, 7]], [[-1, 10]], [[-1, 13]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498911
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 118, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab10', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 15]], [[1, 3]], [[1, 6]], [[1, 15]], [[-1, 12]], [[-1, 6]], [[1, 15]], [[1, 12]], [[-1, 6]], [[1, 3]], [[1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 12]], [[-1, 15]], [[1, 6]], [[-1, 3]], [[1, 12]], [[1, 10]], [[-1, 14]], [[-1, 10]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 16]], [[1, 2]], [[1, 14]], [[1, 10]], [[-1, 16]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 2]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 17]], [[-1, 4]], [[1, 14]], [[-1, 4]], [[1, 11]], [[1, 10]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 17]], [[-1, 7]], [[1, 7]], [[1, 13]], [[1, 5]], [[1, 13]], [[-1, 13]], [[1, 1]], [[-1, 11]], [[-1, 10]], [[1, 1]], [[1, 16]], [[1, 8]], [[1, 17]], [[-1, 14]], [[1, 11]], [[1, 2]], [[1, 5]], [[1, 8]], [[1, 14]], [[-1, 17]], [[-1, 5]], [[-1, 11]], [[-1, 2]], [[-1, 11]], [[1, 13]], [[-1, 17]], [[1, 7]], [[1, 5]], [[-1, 8]], [[-1, 5]], [[1, 17]], [[-1, 13]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[1, 5]], [[1, 10]], [[-1, 1]], [[-1, 8]], [[-1, 16]], [[-1, 13]], [[1, 13]], [[-1, 16]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 5]], [[-1, 13]], [[1, 1]], [[-1, 1]], [[1, 17]], [[-1, 7]], [[1, 4]], [[-1, 11]], [[-1, 2]], [[-1, 10]], [[1, 16]], [[1, 17]], [[-1, 14]], [[1, 11]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498912
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 119, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab11', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[1, 3]], [[-1, 15]], [[-1, 12]], [[-1, 3]], [[1, 6]], [[1, 12]], [[-1, 3]], [[-1, 6]], [[1, 12]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 6]], [[1, 3]], [[-1, 12]], [[1, 15]], [[-1, 6]], [[1, 14]], [[1, 16]], [[-1, 14]], [[1, 2]], [[1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 13]], [[1, 2]], [[-1, 16]], [[1, 2]], [[1, 1]], [[1, 14]], [[1, 10]], [[1, 5]], [[-1, 5]], [[1, 17]], [[1, 13]], [[-1, 17]], [[1, 17]], [[1, 11]], [[1, 7]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 1]], [[-1, 14]], [[-1, 5]], [[1, 8]], [[1, 4]], [[-1, 13]], [[1, 16]], [[1, 1]], [[1, 10]], [[1, 7]], [[1, 4]], [[-1, 16]], [[1, 13]], [[-1, 7]], [[-1, 1]], [[-1, 10]], [[-1, 1]], [[1, 11]], [[1, 13]], [[1, 17]], [[1, 7]], [[-1, 4]], [[-1, 7]], [[-1, 13]], [[-1, 11]], [[-1, 7]], [[-1, 17]], [[1, 1]], [[1, 7]], [[1, 14]], [[1, 5]], [[-1, 4]], [[-1, 8]], [[-1, 11]], [[1, 11]], [[-1, 8]], [[1, 5]], [[1, 17]], [[-1, 17]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[-1, 13]], [[-1, 17]], [[-1, 2]], [[-1, 1]], [[-1, 10]], [[-1, 14]], [[1, 8]], [[-1, 13]], [[1, 16]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498914
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 120, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab12', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 15]], [[1, 3]], [[1, 6]], [[1, 15]], [[-1, 12]], [[-1, 6]], [[1, 15]], [[1, 12]], [[-1, 6]], [[1, 3]], [[1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 12]], [[-1, 15]], [[1, 6]], [[-1, 3]], [[1, 12]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 16]], [[-1, 8]], [[1, 14]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[1, 8]], [[1, 2]], [[1, 14]], [[-1, 16]], [[1, 16]], [[-1, 5]], [[-1, 16]], [[1, 2]], [[-1, 16]], [[-1, 17]], [[-1, 4]], [[-1, 8]], [[-1, 13]], [[1, 13]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 11]], [[-1, 7]], [[1, 7]], [[1, 13]], [[1, 17]], [[1, 4]], [[1, 13]], [[-1, 10]], [[-1, 14]], [[1, 5]], [[-1, 2]], [[-1, 17]], [[-1, 8]], [[-1, 11]], [[-1, 14]], [[1, 2]], [[-1, 5]], [[1, 11]], [[1, 17]], [[1, 8]], [[1, 17]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[1, 14]], [[1, 11]], [[1, 5]], [[1, 7]], [[1, 11]], [[1, 1]], [[-1, 17]], [[-1, 11]], [[-1, 4]], [[-1, 13]], [[1, 14]], [[1, 10]], [[1, 7]], [[-1, 7]], [[1, 10]], [[-1, 13]], [[-1, 1]], [[1, 1]], [[1, 11]], [[1, 7]], [[1, 13]], [[-1, 13]], [[1, 5]], [[1, 1]], [[1, 16]], [[1, 17]], [[1, 8]], [[1, 4]], [[-1, 10]], [[1, 5]], [[-1, 2]], [[-1, 17]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498903
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 110, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab2', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[1, 15]], [[-1, 3]], [[1, 6]], [[-1, 15]], [[-1, 12]], [[-1, 6]], [[-1, 15]], [[1, 12]], [[-1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 3]], [[1, 3]], [[-1, 12]], [[1, 15]], [[1, 6]], [[1, 3]], [[1, 12]], [[-1, 16]], [[1, 8]], [[1, 16]], [[1, 10]], [[1, 14]], [[1, 2]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 14]], [[-1, 8]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 11]], [[1, 10]], [[-1, 8]], [[1, 10]], [[1, 5]], [[-1, 16]], [[1, 14]], [[-1, 7]], [[1, 7]], [[1, 13]], [[-1, 11]], [[-1, 13]], [[1, 13]], [[-1, 1]], [[-1, 17]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 16]], [[1, 7]], [[1, 4]], [[-1, 2]], [[1, 11]], [[1, 8]], [[1, 5]], [[1, 14]], [[-1, 17]], [[-1, 2]], [[-1, 8]], [[-1, 11]], [[1, 17]], [[-1, 5]], [[-1, 14]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[1, 13]], [[-1, 17]], [[1, 2]], [[1, 17]], [[1, 11]], [[1, 1]], [[1, 17]], [[-1, 13]], [[1, 5]], [[-1, 17]], [[-1, 16]], [[-1, 7]], [[1, 2]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 7]], [[1, 13]], [[-1, 13]], [[1, 17]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 11]], [[-1, 13]], [[-1, 10]], [[-1, 5]], [[-1, 14]], [[1, 16]], [[1, 4]], [[1, 11]], [[1, 8]], [[1, 5]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498904
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 111, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab3', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 3]], [[1, 15]], [[-1, 12]], [[1, 3]], [[1, 6]], [[1, 12]], [[1, 3]], [[-1, 6]], [[1, 12]], [[1, 15]], [[1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[1, 6]], [[-1, 3]], [[-1, 12]], [[-1, 15]], [[-1, 6]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 14]], [[-1, 16]], [[1, 10]], [[1, 2]], [[-1, 16]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[1, 16]], [[-1, 4]], [[1, 10]], [[1, 14]], [[-1, 14]], [[-1, 1]], [[1, 14]], [[-1, 4]], [[1, 14]], [[1, 7]], [[-1, 8]], [[-1, 16]], [[-1, 17]], [[1, 17]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[1, 5]], [[1, 13]], [[1, 5]], [[-1, 5]], [[1, 17]], [[-1, 7]], [[1, 8]], [[1, 17]], [[-1, 2]], [[-1, 10]], [[1, 1]], [[1, 4]], [[1, 7]], [[-1, 16]], [[1, 13]], [[-1, 10]], [[-1, 4]], [[-1, 1]], [[-1, 13]], [[-1, 7]], [[1, 16]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[1, 11]], [[1, 13]], [[1, 10]], [[-1, 13]], [[1, 1]], [[-1, 5]], [[-1, 13]], [[-1, 11]], [[1, 7]], [[1, 13]], [[-1, 8]], [[-1, 17]], [[1, 10]], [[1, 2]], [[-1, 5]], [[1, 5]], [[1, 2]], [[-1, 17]], [[1, 11]], [[-1, 11]], [[-1, 13]], [[-1, 5]], [[1, 17]], [[-1, 17]], [[1, 1]], [[-1, 11]], [[-1, 14]], [[-1, 7]], [[1, 16]], [[1, 8]], [[-1, 2]], [[1, 1]], [[1, 4]], [[1, 7]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498905
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 112, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab4', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 15]], [[-1, 3]], [[1, 6]], [[-1, 15]], [[-1, 12]], [[-1, 6]], [[-1, 15]], [[1, 12]], [[-1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 3]], [[1, 3]], [[-1, 12]], [[1, 15]], [[1, 6]], [[1, 3]], [[1, 12]], [[1, 10]], [[-1, 14]], [[-1, 10]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 16]], [[1, 2]], [[1, 14]], [[1, 10]], [[-1, 16]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 2]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[1, 17]], [[-1, 4]], [[1, 14]], [[-1, 4]], [[-1, 11]], [[1, 10]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 17]], [[1, 7]], [[-1, 7]], [[-1, 13]], [[-1, 5]], [[-1, 13]], [[1, 13]], [[-1, 1]], [[1, 11]], [[-1, 10]], [[-1, 1]], [[1, 16]], [[1, 8]], [[-1, 17]], [[-1, 14]], [[-1, 11]], [[1, 2]], [[-1, 5]], [[1, 8]], [[1, 14]], [[1, 17]], [[1, 5]], [[1, 11]], [[-1, 2]], [[1, 11]], [[-1, 13]], [[1, 17]], [[-1, 7]], [[-1, 5]], [[-1, 8]], [[1, 5]], [[-1, 17]], [[1, 13]], [[1, 5]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[1, 10]], [[1, 1]], [[-1, 8]], [[-1, 16]], [[1, 13]], [[-1, 13]], [[-1, 16]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 5]], [[1, 13]], [[-1, 1]], [[1, 1]], [[-1, 17]], [[1, 7]], [[1, 4]], [[1, 11]], [[-1, 2]], [[-1, 10]], [[1, 16]], [[-1, 17]], [[-1, 14]], [[-1, 11]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498906
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 113, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab5', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 3]], [[1, 15]], [[-1, 12]], [[1, 3]], [[1, 6]], [[1, 12]], [[1, 3]], [[-1, 6]], [[1, 12]], [[1, 15]], [[1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[1, 6]], [[-1, 3]], [[-1, 12]], [[-1, 15]], [[-1, 6]], [[1, 14]], [[1, 16]], [[-1, 14]], [[1, 2]], [[1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 13]], [[1, 2]], [[-1, 16]], [[1, 2]], [[-1, 1]], [[1, 14]], [[1, 10]], [[-1, 5]], [[1, 5]], [[-1, 17]], [[-1, 13]], [[1, 17]], [[-1, 17]], [[-1, 11]], [[-1, 7]], [[-1, 11]], [[1, 11]], [[1, 5]], [[1, 1]], [[-1, 14]], [[1, 5]], [[1, 8]], [[1, 4]], [[1, 13]], [[1, 16]], [[-1, 1]], [[1, 10]], [[-1, 7]], [[1, 4]], [[-1, 16]], [[-1, 13]], [[1, 7]], [[1, 1]], [[-1, 10]], [[1, 1]], [[-1, 11]], [[-1, 13]], [[-1, 17]], [[-1, 7]], [[-1, 4]], [[1, 7]], [[1, 13]], [[1, 11]], [[1, 7]], [[1, 17]], [[-1, 1]], [[-1, 7]], [[1, 14]], [[-1, 5]], [[-1, 4]], [[-1, 8]], [[1, 11]], [[-1, 11]], [[-1, 8]], [[-1, 5]], [[-1, 17]], [[1, 17]], [[1, 7]], [[1, 11]], [[1, 5]], [[-1, 5]], [[1, 13]], [[1, 17]], [[-1, 2]], [[1, 1]], [[-1, 10]], [[-1, 14]], [[1, 8]], [[1, 13]], [[1, 16]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498907
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 114, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab6', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 15]], [[-1, 3]], [[1, 6]], [[-1, 15]], [[-1, 12]], [[-1, 6]], [[-1, 15]], [[1, 12]], [[-1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 3]], [[1, 3]], [[-1, 12]], [[1, 15]], [[1, 6]], [[1, 3]], [[1, 12]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 16]], [[-1, 8]], [[1, 14]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[1, 8]], [[1, 2]], [[1, 14]], [[-1, 16]], [[1, 16]], [[1, 5]], [[-1, 16]], [[1, 2]], [[-1, 16]], [[1, 17]], [[-1, 4]], [[-1, 8]], [[1, 13]], [[-1, 13]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 7]], [[1, 11]], [[1, 7]], [[-1, 7]], [[-1, 13]], [[-1, 17]], [[1, 4]], [[-1, 13]], [[-1, 10]], [[-1, 14]], [[-1, 5]], [[-1, 2]], [[1, 17]], [[-1, 8]], [[1, 11]], [[-1, 14]], [[1, 2]], [[1, 5]], [[-1, 11]], [[-1, 17]], [[1, 8]], [[-1, 17]], [[1, 7]], [[1, 5]], [[1, 1]], [[1, 11]], [[1, 14]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 1]], [[1, 17]], [[1, 11]], [[-1, 4]], [[1, 13]], [[1, 14]], [[1, 10]], [[-1, 7]], [[1, 7]], [[1, 10]], [[1, 13]], [[1, 1]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 13]], [[1, 13]], [[-1, 5]], [[-1, 1]], [[1, 16]], [[-1, 17]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 5]], [[-1, 2]], [[1, 17]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498908
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 115, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab7', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 3]], [[-1, 15]], [[-1, 12]], [[-1, 3]], [[1, 6]], [[1, 12]], [[-1, 3]], [[-1, 6]], [[1, 12]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 6]], [[1, 3]], [[-1, 12]], [[1, 15]], [[-1, 6]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 14]], [[1, 16]], [[-1, 14]], [[1, 8]], [[1, 4]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[1, 8]], [[-1, 7]], [[-1, 8]], [[1, 10]], [[-1, 8]], [[1, 13]], [[1, 2]], [[-1, 4]], [[-1, 11]], [[1, 11]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[-1, 17]], [[-1, 1]], [[-1, 17]], [[1, 17]], [[1, 11]], [[-1, 13]], [[-1, 2]], [[1, 11]], [[-1, 14]], [[1, 16]], [[1, 7]], [[-1, 10]], [[1, 13]], [[-1, 4]], [[-1, 1]], [[1, 16]], [[1, 10]], [[-1, 7]], [[1, 1]], [[-1, 13]], [[1, 4]], [[-1, 13]], [[-1, 17]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 16]], [[1, 1]], [[1, 7]], [[1, 17]], [[1, 1]], [[-1, 5]], [[1, 13]], [[-1, 1]], [[1, 2]], [[-1, 11]], [[-1, 16]], [[1, 14]], [[1, 17]], [[-1, 17]], [[1, 14]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 17]], [[1, 11]], [[-1, 11]], [[1, 7]], [[-1, 5]], [[1, 8]], [[-1, 13]], [[1, 4]], [[-1, 2]], [[-1, 14]], [[1, 7]], [[-1, 10]], [[1, 13]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498909
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 116, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab8', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[-1, 15]], [[1, 3]], [[1, 6]], [[1, 15]], [[-1, 12]], [[-1, 6]], [[1, 15]], [[1, 12]], [[-1, 6]], [[1, 3]], [[1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 12]], [[-1, 15]], [[1, 6]], [[-1, 3]], [[1, 12]], [[-1, 16]], [[1, 8]], [[1, 16]], [[1, 10]], [[1, 14]], [[1, 2]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 14]], [[-1, 8]], [[1, 2]], [[1, 10]], [[-1, 10]], [[1, 11]], [[1, 10]], [[-1, 8]], [[1, 10]], [[-1, 5]], [[-1, 16]], [[1, 14]], [[1, 7]], [[-1, 7]], [[-1, 13]], [[1, 11]], [[1, 13]], [[-1, 13]], [[1, 1]], [[1, 17]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[1, 16]], [[-1, 7]], [[1, 4]], [[-1, 2]], [[-1, 11]], [[1, 8]], [[-1, 5]], [[1, 14]], [[1, 17]], [[-1, 2]], [[-1, 8]], [[1, 11]], [[-1, 17]], [[1, 5]], [[-1, 14]], [[1, 5]], [[1, 1]], [[1, 11]], [[-1, 13]], [[1, 17]], [[1, 2]], [[-1, 17]], [[-1, 11]], [[-1, 1]], [[-1, 17]], [[1, 13]], [[-1, 5]], [[1, 17]], [[-1, 16]], [[1, 7]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[1, 7]], [[-1, 13]], [[1, 13]], [[-1, 17]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 11]], [[1, 13]], [[-1, 10]], [[1, 5]], [[-1, 14]], [[1, 16]], [[1, 4]], [[-1, 11]], [[1, 8]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7498910
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 117, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.b1', 'kernel_order': 148, 'label': '5328.a.1ab9', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[1, 3]], [[-1, 15]], [[-1, 12]], [[-1, 3]], [[1, 6]], [[1, 12]], [[-1, 3]], [[-1, 6]], [[1, 12]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 3]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 6]], [[1, 3]], [[-1, 12]], [[1, 15]], [[-1, 6]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 14]], [[-1, 16]], [[1, 10]], [[1, 2]], [[-1, 16]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[1, 16]], [[-1, 4]], [[1, 10]], [[1, 14]], [[-1, 14]], [[1, 1]], [[1, 14]], [[-1, 4]], [[1, 14]], [[-1, 7]], [[-1, 8]], [[-1, 16]], [[1, 17]], [[-1, 17]], [[-1, 11]], [[1, 1]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 13]], [[-1, 5]], [[1, 5]], [[-1, 17]], [[1, 7]], [[1, 8]], [[-1, 17]], [[-1, 2]], [[-1, 10]], [[-1, 1]], [[1, 4]], [[-1, 7]], [[-1, 16]], [[-1, 13]], [[-1, 10]], [[-1, 4]], [[1, 1]], [[1, 13]], [[1, 7]], [[1, 16]], [[1, 7]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[-1, 13]], [[1, 10]], [[1, 13]], [[-1, 1]], [[1, 5]], [[1, 13]], [[1, 11]], [[-1, 7]], [[-1, 13]], [[-1, 8]], [[1, 17]], [[1, 10]], [[1, 2]], [[1, 5]], [[-1, 5]], [[1, 2]], [[1, 17]], [[-1, 11]], [[1, 11]], [[1, 13]], [[1, 5]], [[-1, 17]], [[1, 17]], [[-1, 1]], [[1, 11]], [[-1, 14]], [[1, 7]], [[1, 16]], [[1, 8]], [[-1, 2]], [[-1, 1]], [[1, 4]], [[-1, 7]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498915
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 121, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac1', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 12]], [[1, 15]], [[-1, 3]], [[1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 12]], [[1, 15]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[1, 6]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 6]], [[1, 15]], [[1, 12]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 4]], [[-1, 16]], [[1, 14]], [[-1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 16]], [[1, 8]], [[-1, 17]], [[1, 16]], [[-1, 17]], [[-1, 1]], [[1, 17]], [[1, 4]], [[1, 11]], [[-1, 13]], [[1, 11]], [[-1, 2]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[-1, 14]], [[1, 17]], [[1, 1]], [[-1, 17]], [[1, 8]], [[-1, 11]], [[1, 13]], [[-1, 11]], [[1, 2]], [[-1, 5]], [[1, 7]], [[1, 7]], [[1, 1]], [[-1, 13]], [[1, 13]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 10]], [[-1, 4]], [[1, 13]], [[-1, 13]], [[-1, 8]], [[-1, 16]], [[1, 14]], [[-1, 10]], [[-1, 7]], [[-1, 1]], [[-1, 16]], [[-1, 8]], [[-1, 10]], [[1, 14]], [[-1, 4]], [[1, 10]], [[-1, 11]], [[1, 2]], [[1, 7]], [[-1, 5]], [[-1, 17]], [[1, 8]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[-1, 14]], [[1, 1]], [[1, 17]], [[1, 11]], [[-1, 2]], [[-1, 7]], [[1, 5]], [[1, 17]], [[1, 4]], [[-1, 13]], [[1, 11]], [[1, 5]], [[1, 16]], [[-1, 1]], [[1, 13]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498925
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 130, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac10', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 6]], [[1, 3]], [[-1, 15]], [[-1, 6]], [[-1, 3]], [[-1, 15]], [[1, 6]], [[1, 3]], [[1, 15]], [[-1, 12]], [[1, 12]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 12]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[1, 12]], [[1, 3]], [[-1, 6]], [[1, 15]], [[1, 3]], [[-1, 3]], [[1, 10]], [[1, 14]], [[1, 10]], [[-1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 16]], [[1, 2]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[1, 14]], [[1, 8]], [[1, 4]], [[-1, 13]], [[1, 8]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[-1, 2]], [[-1, 1]], [[1, 11]], [[-1, 1]], [[-1, 10]], [[-1, 7]], [[1, 17]], [[1, 7]], [[1, 16]], [[1, 13]], [[1, 5]], [[-1, 13]], [[1, 4]], [[1, 1]], [[-1, 11]], [[1, 1]], [[1, 10]], [[1, 7]], [[-1, 17]], [[-1, 17]], [[1, 5]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[1, 17]], [[1, 5]], [[-1, 17]], [[1, 14]], [[1, 2]], [[-1, 11]], [[1, 11]], [[-1, 4]], [[-1, 8]], [[-1, 16]], [[-1, 14]], [[1, 17]], [[-1, 5]], [[-1, 8]], [[-1, 4]], [[-1, 14]], [[-1, 16]], [[1, 2]], [[1, 14]], [[1, 1]], [[1, 10]], [[-1, 17]], [[1, 7]], [[-1, 13]], [[1, 4]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 16]], [[1, 5]], [[1, 13]], [[-1, 1]], [[-1, 10]], [[1, 17]], [[-1, 7]], [[1, 13]], [[-1, 2]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 8]], [[-1, 5]], [[-1, 11]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498926
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 131, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac11', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 12]], [[-1, 15]], [[1, 3]], [[1, 12]], [[1, 15]], [[1, 3]], [[-1, 12]], [[-1, 15]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[-1, 3]], [[1, 15]], [[1, 3]], [[1, 6]], [[-1, 3]], [[1, 3]], [[1, 15]], [[-1, 6]], [[-1, 15]], [[1, 12]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[1, 14]], [[-1, 16]], [[1, 14]], [[1, 2]], [[-1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[-1, 16]], [[1, 4]], [[-1, 2]], [[-1, 11]], [[1, 4]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[-1, 10]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 14]], [[-1, 17]], [[-1, 13]], [[1, 17]], [[1, 8]], [[1, 11]], [[1, 7]], [[-1, 11]], [[-1, 2]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 14]], [[1, 17]], [[1, 13]], [[1, 13]], [[1, 7]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 13]], [[1, 7]], [[1, 13]], [[-1, 16]], [[1, 10]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 16]], [[-1, 13]], [[-1, 7]], [[-1, 4]], [[1, 2]], [[1, 16]], [[-1, 8]], [[1, 10]], [[-1, 16]], [[-1, 5]], [[1, 14]], [[1, 13]], [[1, 17]], [[-1, 11]], [[-1, 2]], [[-1, 17]], [[-1, 5]], [[1, 17]], [[1, 8]], [[1, 7]], [[1, 11]], [[1, 5]], [[-1, 14]], [[-1, 13]], [[-1, 17]], [[1, 11]], [[-1, 10]], [[1, 1]], [[1, 5]], [[-1, 17]], [[1, 4]], [[-1, 7]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498927
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 132, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac12', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 6]], [[1, 3]], [[-1, 15]], [[-1, 6]], [[-1, 3]], [[-1, 15]], [[1, 6]], [[1, 3]], [[1, 15]], [[-1, 12]], [[1, 12]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 12]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[1, 12]], [[1, 3]], [[-1, 6]], [[1, 15]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 16]], [[1, 8]], [[1, 14]], [[1, 10]], [[-1, 8]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[1, 2]], [[-1, 14]], [[1, 16]], [[1, 7]], [[-1, 14]], [[1, 7]], [[1, 11]], [[-1, 7]], [[1, 8]], [[-1, 13]], [[-1, 17]], [[-1, 13]], [[1, 4]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 10]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[1, 16]], [[1, 13]], [[1, 17]], [[1, 13]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[-1, 17]], [[1, 17]], [[1, 11]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 2]], [[-1, 8]], [[1, 17]], [[-1, 17]], [[-1, 16]], [[1, 14]], [[1, 10]], [[-1, 2]], [[1, 5]], [[1, 11]], [[1, 14]], [[-1, 16]], [[-1, 2]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 13]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[1, 16]], [[1, 1]], [[1, 13]], [[-1, 1]], [[-1, 10]], [[-1, 11]], [[-1, 7]], [[-1, 13]], [[1, 4]], [[1, 5]], [[1, 1]], [[-1, 7]], [[1, 8]], [[-1, 17]], [[-1, 13]], [[1, 1]], [[-1, 14]], [[1, 11]], [[1, 17]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498916
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 122, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac2', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[1, 6]], [[-1, 3]], [[1, 15]], [[-1, 6]], [[1, 3]], [[1, 15]], [[1, 6]], [[-1, 3]], [[-1, 15]], [[-1, 12]], [[1, 12]], [[-1, 15]], [[1, 3]], [[1, 15]], [[-1, 12]], [[-1, 15]], [[1, 15]], [[1, 3]], [[1, 12]], [[-1, 3]], [[-1, 6]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 16]], [[-1, 8]], [[-1, 16]], [[1, 10]], [[-1, 14]], [[1, 2]], [[-1, 4]], [[1, 14]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[-1, 8]], [[-1, 2]], [[-1, 10]], [[1, 1]], [[-1, 2]], [[1, 1]], [[1, 17]], [[-1, 1]], [[-1, 14]], [[-1, 7]], [[1, 5]], [[-1, 7]], [[1, 16]], [[-1, 13]], [[1, 11]], [[1, 13]], [[1, 4]], [[-1, 1]], [[-1, 17]], [[1, 1]], [[-1, 10]], [[1, 7]], [[-1, 5]], [[1, 7]], [[-1, 16]], [[1, 13]], [[-1, 11]], [[-1, 11]], [[-1, 17]], [[1, 5]], [[-1, 5]], [[1, 17]], [[1, 11]], [[-1, 17]], [[-1, 11]], [[-1, 8]], [[1, 14]], [[-1, 5]], [[1, 5]], [[1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 11]], [[1, 17]], [[1, 2]], [[1, 10]], [[1, 8]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[1, 7]], [[-1, 16]], [[-1, 11]], [[1, 13]], [[1, 1]], [[-1, 10]], [[-1, 13]], [[1, 7]], [[1, 13]], [[1, 4]], [[-1, 17]], [[-1, 1]], [[-1, 7]], [[1, 16]], [[1, 11]], [[-1, 13]], [[-1, 1]], [[-1, 14]], [[1, 5]], [[-1, 7]], [[-1, 13]], [[-1, 2]], [[1, 17]], [[-1, 5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498917
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 123, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac3', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 12]], [[1, 15]], [[-1, 3]], [[1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 12]], [[1, 15]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[1, 6]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 6]], [[1, 15]], [[1, 12]], [[1, 3]], [[1, 15]], [[-1, 15]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 14]], [[1, 16]], [[1, 10]], [[1, 2]], [[-1, 16]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[-1, 4]], [[-1, 10]], [[-1, 14]], [[-1, 5]], [[-1, 10]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[1, 16]], [[-1, 17]], [[1, 7]], [[-1, 17]], [[1, 8]], [[-1, 11]], [[1, 1]], [[1, 11]], [[-1, 2]], [[1, 5]], [[1, 13]], [[-1, 5]], [[-1, 14]], [[1, 17]], [[-1, 7]], [[1, 17]], [[-1, 8]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[1, 13]], [[1, 7]], [[-1, 7]], [[-1, 13]], [[1, 1]], [[1, 13]], [[-1, 1]], [[-1, 4]], [[-1, 16]], [[-1, 7]], [[1, 7]], [[1, 14]], [[1, 10]], [[1, 2]], [[1, 4]], [[1, 1]], [[-1, 13]], [[1, 10]], [[1, 14]], [[1, 4]], [[1, 2]], [[-1, 16]], [[-1, 4]], [[1, 17]], [[-1, 8]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 14]], [[-1, 11]], [[1, 17]], [[1, 11]], [[-1, 2]], [[1, 13]], [[1, 5]], [[-1, 17]], [[1, 8]], [[1, 1]], [[-1, 11]], [[1, 5]], [[1, 16]], [[1, 7]], [[-1, 17]], [[-1, 11]], [[-1, 10]], [[-1, 13]], [[-1, 7]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498918
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 124, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac4', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 6]], [[-1, 3]], [[1, 15]], [[-1, 6]], [[1, 3]], [[1, 15]], [[1, 6]], [[-1, 3]], [[-1, 15]], [[-1, 12]], [[1, 12]], [[-1, 15]], [[1, 3]], [[1, 15]], [[-1, 12]], [[-1, 15]], [[1, 15]], [[1, 3]], [[1, 12]], [[-1, 3]], [[-1, 6]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[1, 10]], [[1, 14]], [[1, 10]], [[-1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 16]], [[1, 2]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[1, 14]], [[1, 8]], [[1, 4]], [[1, 13]], [[1, 8]], [[1, 13]], [[1, 5]], [[-1, 13]], [[-1, 2]], [[1, 1]], [[-1, 11]], [[1, 1]], [[-1, 10]], [[1, 7]], [[-1, 17]], [[-1, 7]], [[1, 16]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[1, 4]], [[-1, 1]], [[1, 11]], [[-1, 1]], [[1, 10]], [[-1, 7]], [[1, 17]], [[1, 17]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[1, 5]], [[-1, 17]], [[-1, 5]], [[1, 17]], [[1, 14]], [[1, 2]], [[1, 11]], [[-1, 11]], [[-1, 4]], [[-1, 8]], [[-1, 16]], [[-1, 14]], [[-1, 17]], [[1, 5]], [[-1, 8]], [[-1, 4]], [[-1, 14]], [[-1, 16]], [[1, 2]], [[1, 14]], [[-1, 1]], [[1, 10]], [[1, 17]], [[-1, 7]], [[1, 13]], [[1, 4]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 16]], [[-1, 5]], [[-1, 13]], [[1, 1]], [[-1, 10]], [[-1, 17]], [[1, 7]], [[-1, 13]], [[-1, 2]], [[-1, 11]], [[1, 1]], [[1, 7]], [[1, 8]], [[1, 5]], [[1, 11]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498919
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 125, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac5', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 12]], [[1, 15]], [[-1, 3]], [[1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 12]], [[1, 15]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[1, 6]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 6]], [[1, 15]], [[1, 12]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 14]], [[-1, 16]], [[1, 14]], [[1, 2]], [[-1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[-1, 16]], [[1, 4]], [[-1, 2]], [[1, 11]], [[1, 4]], [[1, 11]], [[1, 7]], [[-1, 11]], [[-1, 10]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 14]], [[1, 17]], [[1, 13]], [[-1, 17]], [[1, 8]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[-1, 2]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 14]], [[-1, 17]], [[-1, 13]], [[-1, 13]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[1, 7]], [[1, 13]], [[-1, 7]], [[-1, 13]], [[-1, 16]], [[1, 10]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 16]], [[1, 13]], [[1, 7]], [[-1, 4]], [[1, 2]], [[1, 16]], [[-1, 8]], [[1, 10]], [[-1, 16]], [[1, 5]], [[1, 14]], [[-1, 13]], [[-1, 17]], [[1, 11]], [[-1, 2]], [[1, 17]], [[1, 5]], [[-1, 17]], [[1, 8]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 14]], [[1, 13]], [[1, 17]], [[-1, 11]], [[-1, 10]], [[-1, 1]], [[-1, 5]], [[1, 17]], [[1, 4]], [[1, 7]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498920
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 126, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac6', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 6]], [[-1, 3]], [[1, 15]], [[-1, 6]], [[1, 3]], [[1, 15]], [[1, 6]], [[-1, 3]], [[-1, 15]], [[-1, 12]], [[1, 12]], [[-1, 15]], [[1, 3]], [[1, 15]], [[-1, 12]], [[-1, 15]], [[1, 15]], [[1, 3]], [[1, 12]], [[-1, 3]], [[-1, 6]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 16]], [[1, 8]], [[1, 14]], [[1, 10]], [[-1, 8]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[1, 2]], [[-1, 14]], [[1, 16]], [[-1, 7]], [[-1, 14]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[1, 8]], [[1, 13]], [[1, 17]], [[1, 13]], [[1, 4]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 10]], [[1, 7]], [[1, 11]], [[-1, 7]], [[1, 16]], [[-1, 13]], [[-1, 17]], [[-1, 13]], [[-1, 4]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 11]], [[1, 17]], [[-1, 17]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[1, 5]], [[1, 2]], [[-1, 8]], [[-1, 17]], [[1, 17]], [[-1, 16]], [[1, 14]], [[1, 10]], [[-1, 2]], [[-1, 5]], [[-1, 11]], [[1, 14]], [[-1, 16]], [[-1, 2]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 13]], [[-1, 4]], [[1, 5]], [[1, 1]], [[-1, 7]], [[1, 16]], [[-1, 1]], [[-1, 13]], [[1, 1]], [[-1, 10]], [[1, 11]], [[1, 7]], [[1, 13]], [[1, 4]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[1, 8]], [[1, 17]], [[1, 13]], [[-1, 1]], [[-1, 14]], [[-1, 11]], [[-1, 17]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498921
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 127, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac7', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 12]], [[-1, 15]], [[1, 3]], [[1, 12]], [[1, 15]], [[1, 3]], [[-1, 12]], [[-1, 15]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[-1, 3]], [[1, 15]], [[1, 3]], [[1, 6]], [[-1, 3]], [[1, 3]], [[1, 15]], [[-1, 6]], [[-1, 15]], [[1, 12]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 4]], [[-1, 16]], [[1, 14]], [[-1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 16]], [[1, 8]], [[1, 17]], [[1, 16]], [[1, 17]], [[1, 1]], [[-1, 17]], [[1, 4]], [[-1, 11]], [[1, 13]], [[-1, 11]], [[-1, 2]], [[-1, 5]], [[1, 7]], [[1, 5]], [[-1, 14]], [[-1, 17]], [[-1, 1]], [[1, 17]], [[1, 8]], [[1, 11]], [[-1, 13]], [[1, 11]], [[1, 2]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[-1, 1]], [[1, 13]], [[-1, 13]], [[1, 1]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 10]], [[-1, 4]], [[-1, 13]], [[1, 13]], [[-1, 8]], [[-1, 16]], [[1, 14]], [[-1, 10]], [[1, 7]], [[1, 1]], [[-1, 16]], [[-1, 8]], [[-1, 10]], [[1, 14]], [[-1, 4]], [[1, 10]], [[1, 11]], [[1, 2]], [[-1, 7]], [[1, 5]], [[1, 17]], [[1, 8]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 14]], [[-1, 1]], [[-1, 17]], [[-1, 11]], [[-1, 2]], [[1, 7]], [[-1, 5]], [[-1, 17]], [[1, 4]], [[1, 13]], [[-1, 11]], [[-1, 5]], [[1, 16]], [[1, 1]], [[-1, 13]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498922
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 128, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac8', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[1, 6]], [[1, 3]], [[-1, 15]], [[-1, 6]], [[-1, 3]], [[-1, 15]], [[1, 6]], [[1, 3]], [[1, 15]], [[-1, 12]], [[1, 12]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 12]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[1, 12]], [[1, 3]], [[-1, 6]], [[1, 15]], [[1, 3]], [[-1, 3]], [[-1, 16]], [[-1, 8]], [[-1, 16]], [[1, 10]], [[-1, 14]], [[1, 2]], [[-1, 4]], [[1, 14]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[-1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 17]], [[1, 1]], [[-1, 14]], [[1, 7]], [[-1, 5]], [[1, 7]], [[1, 16]], [[1, 13]], [[-1, 11]], [[-1, 13]], [[1, 4]], [[1, 1]], [[1, 17]], [[-1, 1]], [[-1, 10]], [[-1, 7]], [[1, 5]], [[-1, 7]], [[-1, 16]], [[-1, 13]], [[1, 11]], [[1, 11]], [[1, 17]], [[-1, 5]], [[1, 5]], [[-1, 17]], [[-1, 11]], [[1, 17]], [[1, 11]], [[-1, 8]], [[1, 14]], [[1, 5]], [[-1, 5]], [[1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[-1, 11]], [[-1, 17]], [[1, 2]], [[1, 10]], [[1, 8]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 7]], [[-1, 16]], [[1, 11]], [[-1, 13]], [[-1, 1]], [[-1, 10]], [[1, 13]], [[-1, 7]], [[-1, 13]], [[1, 4]], [[1, 17]], [[1, 1]], [[1, 7]], [[1, 16]], [[-1, 11]], [[1, 13]], [[1, 1]], [[-1, 14]], [[-1, 5]], [[1, 7]], [[1, 13]], [[-1, 2]], [[-1, 17]], [[1, 5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498923
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 129, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.c1.a1', 'kernel_order': 148, 'label': '5328.a.1ac9', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 12]], [[-1, 15]], [[1, 3]], [[1, 12]], [[1, 15]], [[1, 3]], [[-1, 12]], [[-1, 15]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[-1, 3]], [[1, 15]], [[1, 3]], [[1, 6]], [[-1, 3]], [[1, 3]], [[1, 15]], [[-1, 6]], [[-1, 15]], [[1, 12]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 14]], [[1, 16]], [[1, 10]], [[1, 2]], [[-1, 16]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[-1, 4]], [[-1, 10]], [[-1, 14]], [[1, 5]], [[-1, 10]], [[1, 5]], [[1, 13]], [[-1, 5]], [[1, 16]], [[1, 17]], [[-1, 7]], [[1, 17]], [[1, 8]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 2]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[-1, 14]], [[-1, 17]], [[1, 7]], [[-1, 17]], [[-1, 8]], [[-1, 11]], [[1, 1]], [[1, 1]], [[-1, 13]], [[-1, 7]], [[1, 7]], [[1, 13]], [[-1, 1]], [[-1, 13]], [[1, 1]], [[-1, 4]], [[-1, 16]], [[1, 7]], [[-1, 7]], [[1, 14]], [[1, 10]], [[1, 2]], [[1, 4]], [[-1, 1]], [[1, 13]], [[1, 10]], [[1, 14]], [[1, 4]], [[1, 2]], [[-1, 16]], [[-1, 4]], [[-1, 17]], [[-1, 8]], [[1, 1]], [[-1, 11]], [[1, 5]], [[-1, 14]], [[1, 11]], [[-1, 17]], [[-1, 11]], [[-1, 2]], [[-1, 13]], [[-1, 5]], [[1, 17]], [[1, 8]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[1, 16]], [[-1, 7]], [[1, 17]], [[1, 11]], [[-1, 10]], [[1, 13]], [[1, 7]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498928
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 133, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad1', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 12]], [[-1, 15]], [[-1, 3]], [[1, 12]], [[1, 15]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 3]], [[1, 15]], [[1, 3]], [[-1, 6]], [[-1, 3]], [[1, 3]], [[1, 15]], [[1, 6]], [[1, 15]], [[-1, 12]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 4]], [[-1, 16]], [[1, 14]], [[-1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 16]], [[1, 8]], [[-1, 17]], [[-1, 16]], [[-1, 17]], [[-1, 1]], [[1, 17]], [[-1, 4]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[1, 2]], [[-1, 5]], [[1, 7]], [[1, 5]], [[1, 14]], [[-1, 17]], [[-1, 1]], [[1, 17]], [[-1, 8]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[-1, 2]], [[-1, 5]], [[1, 7]], [[-1, 7]], [[1, 1]], [[1, 13]], [[1, 13]], [[1, 1]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[-1, 10]], [[1, 4]], [[1, 13]], [[1, 13]], [[1, 8]], [[1, 16]], [[-1, 14]], [[1, 10]], [[-1, 7]], [[1, 1]], [[1, 16]], [[1, 8]], [[1, 10]], [[-1, 14]], [[1, 4]], [[-1, 10]], [[-1, 11]], [[-1, 2]], [[1, 7]], [[-1, 5]], [[1, 17]], [[-1, 8]], [[1, 5]], [[1, 11]], [[1, 5]], [[1, 14]], [[-1, 1]], [[-1, 17]], [[-1, 11]], [[1, 2]], [[1, 7]], [[-1, 5]], [[1, 17]], [[-1, 4]], [[-1, 13]], [[1, 11]], [[1, 5]], [[-1, 16]], [[-1, 1]], [[-1, 13]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498938
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 142, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad10', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[-1, 3]], [[-1, 15]], [[1, 6]], [[-1, 3]], [[-1, 15]], [[-1, 6]], [[1, 3]], [[1, 15]], [[1, 12]], [[-1, 12]], [[-1, 15]], [[1, 3]], [[1, 15]], [[1, 12]], [[-1, 15]], [[1, 15]], [[1, 3]], [[-1, 12]], [[1, 3]], [[1, 6]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[1, 10]], [[1, 14]], [[1, 10]], [[-1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 16]], [[1, 2]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[1, 14]], [[1, 8]], [[1, 4]], [[-1, 13]], [[-1, 8]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[1, 2]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 10]], [[1, 7]], [[-1, 17]], [[-1, 7]], [[-1, 16]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[-1, 4]], [[-1, 1]], [[1, 11]], [[1, 1]], [[-1, 10]], [[1, 7]], [[-1, 17]], [[1, 17]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[1, 17]], [[1, 5]], [[1, 17]], [[-1, 14]], [[-1, 2]], [[-1, 11]], [[-1, 11]], [[1, 4]], [[1, 8]], [[1, 16]], [[1, 14]], [[1, 17]], [[1, 5]], [[1, 8]], [[1, 4]], [[1, 14]], [[1, 16]], [[-1, 2]], [[-1, 14]], [[1, 1]], [[-1, 10]], [[-1, 17]], [[1, 7]], [[1, 13]], [[-1, 4]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 16]], [[-1, 5]], [[-1, 13]], [[1, 1]], [[1, 10]], [[-1, 17]], [[1, 7]], [[1, 13]], [[1, 2]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 8]], [[-1, 5]], [[1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498939
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 143, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad11', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[1, 12]], [[1, 15]], [[1, 3]], [[-1, 12]], [[1, 15]], [[1, 3]], [[1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 6]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[1, 6]], [[-1, 15]], [[-1, 12]], [[-1, 3]], [[1, 15]], [[1, 15]], [[1, 14]], [[-1, 16]], [[1, 14]], [[1, 2]], [[-1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[-1, 16]], [[1, 4]], [[-1, 2]], [[-1, 11]], [[-1, 4]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[1, 10]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 14]], [[1, 17]], [[1, 13]], [[-1, 17]], [[-1, 8]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[1, 2]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 14]], [[1, 17]], [[1, 13]], [[-1, 13]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 13]], [[1, 7]], [[-1, 13]], [[1, 16]], [[-1, 10]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 16]], [[-1, 13]], [[1, 7]], [[1, 4]], [[-1, 2]], [[-1, 16]], [[1, 8]], [[-1, 10]], [[1, 16]], [[-1, 5]], [[-1, 14]], [[1, 13]], [[1, 17]], [[1, 11]], [[1, 2]], [[-1, 17]], [[1, 5]], [[-1, 17]], [[-1, 8]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[1, 14]], [[1, 13]], [[1, 17]], [[1, 11]], [[1, 10]], [[1, 1]], [[1, 5]], [[-1, 17]], [[-1, 4]], [[-1, 7]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498940
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 144, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad12', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 6]], [[-1, 3]], [[-1, 15]], [[1, 6]], [[-1, 3]], [[-1, 15]], [[-1, 6]], [[1, 3]], [[1, 15]], [[1, 12]], [[-1, 12]], [[-1, 15]], [[1, 3]], [[1, 15]], [[1, 12]], [[-1, 15]], [[1, 15]], [[1, 3]], [[-1, 12]], [[1, 3]], [[1, 6]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 16]], [[1, 8]], [[1, 14]], [[1, 10]], [[-1, 8]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[1, 2]], [[-1, 14]], [[1, 16]], [[1, 7]], [[1, 14]], [[1, 7]], [[1, 11]], [[-1, 7]], [[-1, 8]], [[-1, 13]], [[-1, 17]], [[1, 13]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 10]], [[1, 7]], [[1, 11]], [[-1, 7]], [[-1, 16]], [[-1, 13]], [[-1, 17]], [[1, 13]], [[1, 4]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 11]], [[1, 17]], [[1, 17]], [[-1, 11]], [[1, 5]], [[-1, 11]], [[1, 5]], [[-1, 2]], [[1, 8]], [[1, 17]], [[1, 17]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 2]], [[1, 5]], [[-1, 11]], [[-1, 14]], [[1, 16]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 13]], [[1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 16]], [[1, 1]], [[-1, 13]], [[1, 1]], [[1, 10]], [[1, 11]], [[1, 7]], [[1, 13]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 8]], [[-1, 17]], [[-1, 13]], [[1, 1]], [[1, 14]], [[1, 11]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498929
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 134, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad2', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[-1, 6]], [[1, 3]], [[1, 15]], [[1, 6]], [[1, 3]], [[1, 15]], [[-1, 6]], [[-1, 3]], [[-1, 15]], [[1, 12]], [[-1, 12]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[1, 12]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 12]], [[-1, 3]], [[1, 6]], [[-1, 15]], [[1, 3]], [[1, 3]], [[-1, 16]], [[-1, 8]], [[-1, 16]], [[1, 10]], [[-1, 14]], [[1, 2]], [[-1, 4]], [[1, 14]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[-1, 8]], [[-1, 2]], [[-1, 10]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 17]], [[-1, 1]], [[1, 14]], [[-1, 7]], [[1, 5]], [[1, 7]], [[-1, 16]], [[1, 13]], [[-1, 11]], [[-1, 13]], [[-1, 4]], [[1, 1]], [[1, 17]], [[-1, 1]], [[1, 10]], [[-1, 7]], [[1, 5]], [[1, 7]], [[1, 16]], [[1, 13]], [[-1, 11]], [[1, 11]], [[-1, 17]], [[-1, 5]], [[-1, 5]], [[-1, 17]], [[1, 11]], [[-1, 17]], [[1, 11]], [[1, 8]], [[-1, 14]], [[-1, 5]], [[-1, 5]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[-1, 8]], [[1, 11]], [[-1, 17]], [[-1, 2]], [[-1, 10]], [[-1, 8]], [[1, 4]], [[-1, 14]], [[1, 8]], [[1, 7]], [[1, 16]], [[-1, 11]], [[1, 13]], [[-1, 1]], [[1, 10]], [[-1, 13]], [[-1, 7]], [[-1, 13]], [[-1, 4]], [[1, 17]], [[1, 1]], [[1, 7]], [[-1, 16]], [[-1, 11]], [[1, 13]], [[-1, 1]], [[1, 14]], [[1, 5]], [[-1, 7]], [[-1, 13]], [[1, 2]], [[1, 17]], [[1, 5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498930
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 135, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad3', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 12]], [[-1, 15]], [[-1, 3]], [[1, 12]], [[1, 15]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 3]], [[1, 15]], [[1, 3]], [[-1, 6]], [[-1, 3]], [[1, 3]], [[1, 15]], [[1, 6]], [[1, 15]], [[-1, 12]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 14]], [[1, 16]], [[1, 10]], [[1, 2]], [[-1, 16]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[-1, 4]], [[-1, 10]], [[-1, 14]], [[-1, 5]], [[1, 10]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[-1, 16]], [[-1, 17]], [[1, 7]], [[1, 17]], [[-1, 8]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[1, 2]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[1, 14]], [[-1, 17]], [[1, 7]], [[1, 17]], [[1, 8]], [[1, 11]], [[-1, 1]], [[1, 1]], [[1, 13]], [[-1, 7]], [[-1, 7]], [[1, 13]], [[1, 1]], [[1, 13]], [[1, 1]], [[1, 4]], [[1, 16]], [[-1, 7]], [[-1, 7]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[-1, 4]], [[1, 1]], [[1, 13]], [[-1, 10]], [[-1, 14]], [[-1, 4]], [[-1, 2]], [[1, 16]], [[1, 4]], [[1, 17]], [[1, 8]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 14]], [[-1, 11]], [[-1, 17]], [[-1, 11]], [[1, 2]], [[-1, 13]], [[-1, 5]], [[1, 17]], [[-1, 8]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 16]], [[1, 7]], [[-1, 17]], [[-1, 11]], [[1, 10]], [[-1, 13]], [[1, 7]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498931
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 136, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad4', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 3]], [[1, 15]], [[1, 6]], [[1, 3]], [[1, 15]], [[-1, 6]], [[-1, 3]], [[-1, 15]], [[1, 12]], [[-1, 12]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[1, 12]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 12]], [[-1, 3]], [[1, 6]], [[-1, 15]], [[1, 3]], [[1, 3]], [[1, 10]], [[1, 14]], [[1, 10]], [[-1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 16]], [[1, 2]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[1, 14]], [[1, 8]], [[1, 4]], [[1, 13]], [[-1, 8]], [[1, 13]], [[1, 5]], [[-1, 13]], [[1, 2]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 10]], [[-1, 7]], [[1, 17]], [[1, 7]], [[-1, 16]], [[1, 13]], [[1, 5]], [[-1, 13]], [[-1, 4]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 10]], [[-1, 7]], [[1, 17]], [[-1, 17]], [[-1, 5]], [[1, 11]], [[1, 11]], [[-1, 5]], [[-1, 17]], [[-1, 5]], [[-1, 17]], [[-1, 14]], [[-1, 2]], [[1, 11]], [[1, 11]], [[1, 4]], [[1, 8]], [[1, 16]], [[1, 14]], [[-1, 17]], [[-1, 5]], [[1, 8]], [[1, 4]], [[1, 14]], [[1, 16]], [[-1, 2]], [[-1, 14]], [[-1, 1]], [[-1, 10]], [[1, 17]], [[-1, 7]], [[-1, 13]], [[-1, 4]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 16]], [[1, 5]], [[1, 13]], [[-1, 1]], [[1, 10]], [[1, 17]], [[-1, 7]], [[-1, 13]], [[1, 2]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 8]], [[1, 5]], [[-1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498932
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 137, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad5', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 12]], [[-1, 15]], [[-1, 3]], [[1, 12]], [[1, 15]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 3]], [[1, 15]], [[1, 3]], [[-1, 6]], [[-1, 3]], [[1, 3]], [[1, 15]], [[1, 6]], [[1, 15]], [[-1, 12]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[1, 14]], [[-1, 16]], [[1, 14]], [[1, 2]], [[-1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[-1, 16]], [[1, 4]], [[-1, 2]], [[1, 11]], [[-1, 4]], [[1, 11]], [[1, 7]], [[-1, 11]], [[1, 10]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 14]], [[-1, 17]], [[-1, 13]], [[1, 17]], [[-1, 8]], [[1, 11]], [[1, 7]], [[-1, 11]], [[1, 2]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 14]], [[-1, 17]], [[-1, 13]], [[1, 13]], [[-1, 7]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 13]], [[-1, 7]], [[1, 13]], [[1, 16]], [[-1, 10]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 16]], [[1, 13]], [[-1, 7]], [[1, 4]], [[-1, 2]], [[-1, 16]], [[1, 8]], [[-1, 10]], [[1, 16]], [[1, 5]], [[-1, 14]], [[-1, 13]], [[-1, 17]], [[-1, 11]], [[1, 2]], [[1, 17]], [[-1, 5]], [[1, 17]], [[-1, 8]], [[1, 7]], [[1, 11]], [[1, 5]], [[1, 14]], [[-1, 13]], [[-1, 17]], [[-1, 11]], [[1, 10]], [[-1, 1]], [[-1, 5]], [[1, 17]], [[-1, 4]], [[1, 7]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498933
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 138, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad6', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 6]], [[1, 3]], [[1, 15]], [[1, 6]], [[1, 3]], [[1, 15]], [[-1, 6]], [[-1, 3]], [[-1, 15]], [[1, 12]], [[-1, 12]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[1, 12]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 12]], [[-1, 3]], [[1, 6]], [[-1, 15]], [[1, 3]], [[1, 3]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 16]], [[1, 8]], [[1, 14]], [[1, 10]], [[-1, 8]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[1, 2]], [[-1, 14]], [[1, 16]], [[-1, 7]], [[1, 14]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[-1, 8]], [[1, 13]], [[1, 17]], [[-1, 13]], [[-1, 4]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 10]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[-1, 16]], [[1, 13]], [[1, 17]], [[-1, 13]], [[1, 4]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 11]], [[-1, 17]], [[-1, 17]], [[1, 11]], [[-1, 5]], [[1, 11]], [[-1, 5]], [[-1, 2]], [[1, 8]], [[-1, 17]], [[-1, 17]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 2]], [[-1, 5]], [[1, 11]], [[-1, 14]], [[1, 16]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[-1, 13]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, 7]], [[-1, 16]], [[-1, 1]], [[1, 13]], [[-1, 1]], [[1, 10]], [[-1, 11]], [[-1, 7]], [[-1, 13]], [[-1, 4]], [[1, 5]], [[1, 1]], [[1, 7]], [[-1, 8]], [[1, 17]], [[1, 13]], [[-1, 1]], [[1, 14]], [[-1, 11]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498934
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 139, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad7', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 12]], [[1, 15]], [[1, 3]], [[-1, 12]], [[1, 15]], [[1, 3]], [[1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 6]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[1, 6]], [[-1, 15]], [[-1, 12]], [[-1, 3]], [[1, 15]], [[1, 15]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 4]], [[-1, 16]], [[1, 14]], [[-1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 16]], [[1, 8]], [[1, 17]], [[-1, 16]], [[1, 17]], [[1, 1]], [[-1, 17]], [[-1, 4]], [[-1, 11]], [[1, 13]], [[1, 11]], [[1, 2]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[1, 14]], [[1, 17]], [[1, 1]], [[-1, 17]], [[-1, 8]], [[-1, 11]], [[1, 13]], [[1, 11]], [[-1, 2]], [[1, 5]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[-1, 13]], [[-1, 13]], [[-1, 1]], [[1, 7]], [[-1, 1]], [[1, 7]], [[-1, 10]], [[1, 4]], [[-1, 13]], [[-1, 13]], [[1, 8]], [[1, 16]], [[-1, 14]], [[1, 10]], [[1, 7]], [[-1, 1]], [[1, 16]], [[1, 8]], [[1, 10]], [[-1, 14]], [[1, 4]], [[-1, 10]], [[1, 11]], [[-1, 2]], [[-1, 7]], [[1, 5]], [[-1, 17]], [[-1, 8]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[1, 14]], [[1, 1]], [[1, 17]], [[1, 11]], [[1, 2]], [[-1, 7]], [[1, 5]], [[-1, 17]], [[-1, 4]], [[1, 13]], [[-1, 11]], [[-1, 5]], [[-1, 16]], [[1, 1]], [[1, 13]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498936
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 140, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad8', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[-1, 12]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[-1, 6]], [[-1, 3]], [[-1, 15]], [[1, 6]], [[-1, 3]], [[-1, 15]], [[-1, 6]], [[1, 3]], [[1, 15]], [[1, 12]], [[-1, 12]], [[-1, 15]], [[1, 3]], [[1, 15]], [[1, 12]], [[-1, 15]], [[1, 15]], [[1, 3]], [[-1, 12]], [[1, 3]], [[1, 6]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 16]], [[-1, 8]], [[-1, 16]], [[1, 10]], [[-1, 14]], [[1, 2]], [[-1, 4]], [[1, 14]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[-1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, 17]], [[1, 1]], [[1, 14]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 16]], [[-1, 13]], [[1, 11]], [[1, 13]], [[-1, 4]], [[-1, 1]], [[-1, 17]], [[1, 1]], [[1, 10]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[1, 16]], [[-1, 13]], [[1, 11]], [[-1, 11]], [[1, 17]], [[1, 5]], [[1, 5]], [[1, 17]], [[-1, 11]], [[1, 17]], [[-1, 11]], [[1, 8]], [[-1, 14]], [[1, 5]], [[1, 5]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[-1, 8]], [[-1, 11]], [[1, 17]], [[-1, 2]], [[-1, 10]], [[-1, 8]], [[1, 4]], [[-1, 14]], [[1, 8]], [[-1, 7]], [[1, 16]], [[1, 11]], [[-1, 13]], [[1, 1]], [[1, 10]], [[1, 13]], [[1, 7]], [[1, 13]], [[-1, 4]], [[-1, 17]], [[-1, 1]], [[-1, 7]], [[-1, 16]], [[1, 11]], [[-1, 13]], [[1, 1]], [[1, 14]], [[-1, 5]], [[1, 7]], [[1, 13]], [[1, 2]], [[-1, 17]], [[-1, 5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498937
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 141, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1.a1', 'kernel_order': 148, 'label': '5328.a.1ad9', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[1, 6]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[1, 12]], [[1, 15]], [[1, 3]], [[-1, 12]], [[1, 15]], [[1, 3]], [[1, 12]], [[-1, 15]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 6]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[1, 6]], [[-1, 15]], [[-1, 12]], [[-1, 3]], [[1, 15]], [[1, 15]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 14]], [[1, 16]], [[1, 10]], [[1, 2]], [[-1, 16]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[-1, 4]], [[-1, 10]], [[-1, 14]], [[1, 5]], [[1, 10]], [[1, 5]], [[1, 13]], [[-1, 5]], [[-1, 16]], [[1, 17]], [[-1, 7]], [[-1, 17]], [[-1, 8]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 2]], [[1, 5]], [[1, 13]], [[-1, 5]], [[1, 14]], [[1, 17]], [[-1, 7]], [[-1, 17]], [[1, 8]], [[-1, 11]], [[1, 1]], [[-1, 1]], [[-1, 13]], [[1, 7]], [[1, 7]], [[-1, 13]], [[-1, 1]], [[-1, 13]], [[-1, 1]], [[1, 4]], [[1, 16]], [[1, 7]], [[1, 7]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 13]], [[-1, 10]], [[-1, 14]], [[-1, 4]], [[-1, 2]], [[1, 16]], [[1, 4]], [[-1, 17]], [[1, 8]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 14]], [[1, 11]], [[1, 17]], [[1, 11]], [[1, 2]], [[1, 13]], [[1, 5]], [[-1, 17]], [[-1, 8]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 16]], [[-1, 7]], [[1, 17]], [[1, 11]], [[1, 10]], [[1, 13]], [[-1, 7]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498950
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.b1', 'kernel_order': 2664, 'label': '5328.a.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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: 7498961
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 2664, 'label': '5328.a.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[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: 7498972
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 2664, 'label': '5328.a.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 7498983
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 1776, 'label': '5328.a.1e1', 'nt': [3, 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, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498994
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 1776, 'label': '5328.a.1e2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7499005
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1.d1', 'kernel_order': 1332, 'label': '5328.a.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]]]}
  • id: 7499016
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1.d1', 'kernel_order': 1332, 'label': '5328.a.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]]]}
  • id: 7499027
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 9, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1.c1', 'kernel_order': 1332, 'label': '5328.a.1g1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]]]}
  • id: 7498891
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1.c1', 'kernel_order': 1332, 'label': '5328.a.1g2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]]]}
  • id: 7498902
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 11, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1.a1', 'kernel_order': 1332, 'label': '5328.a.1h1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]]]}
  • id: 7498913
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 12, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1.a1', 'kernel_order': 1332, 'label': '5328.a.1h2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]]]}
  • id: 7498924
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 13, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1.b1', 'kernel_order': 1332, 'label': '5328.a.1i1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]]]}
  • id: 7498935
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 14, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1.b1', 'kernel_order': 1332, 'label': '5328.a.1i2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]]]}
  • id: 7498945
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 15, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 1332, 'label': '5328.a.1j1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498946
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 16, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 1332, 'label': '5328.a.1j2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498947
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 17, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 1332, 'label': '5328.a.1k1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498948
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 18, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 1332, 'label': '5328.a.1k2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498949
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 19, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.b1', 'kernel_order': 888, 'label': '5328.a.1l1', 'nt': [6, 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, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498951
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 20, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.b1', 'kernel_order': 888, 'label': '5328.a.1l2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498952
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  • id: 7498953
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 22, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 888, 'label': '5328.a.1m2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498954
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 23, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 888, 'label': '5328.a.1n1', 'nt': [6, 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, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498955
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 24, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 888, 'label': '5328.a.1n2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498956
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 25, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.d1', 'kernel_order': 444, 'label': '5328.a.1o1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 4]], [[1, 1]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 2]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 2]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 2]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 1]], [[1, 1]], [[-1, 4]], [[1, 4]], [[1, 1]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]]]}
  • id: 7498957
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 26, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.d1', 'kernel_order': 444, 'label': '5328.a.1o2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 2]], [[-1, 5]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 2]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 4]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 4]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 5]], [[1, 2]], [[-1, 2]], [[-1, 5]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 5]], [[1, 4]], [[-1, 2]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]]]}
  • id: 7498958
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 27, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.d1', 'kernel_order': 444, 'label': '5328.a.1o3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 2]], [[1, 5]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 5]], [[1, 2]], [[-1, 2]], [[1, 5]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 4]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]]]}
  • id: 7498959
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 28, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.d1', 'kernel_order': 444, 'label': '5328.a.1o4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 2]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[1, 2]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]]]}
  • id: 7498960
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 29, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.c1', 'kernel_order': 444, 'label': '5328.a.1p1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 2]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[-1, 5]], [[1, 2]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 2]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[1, 4]], [[-1, 4]], [[1, 1]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]]]}
  • id: 7498962
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 30, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.c1', 'kernel_order': 444, 'label': '5328.a.1p2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 2]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 5]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 5]], [[1, 2]], [[-1, 4]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 4]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 2]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 2]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 5]], [[-1, 4]], [[1, 2]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]]]}
  • id: 7498963
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 31, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.c1', 'kernel_order': 444, 'label': '5328.a.1p3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 2]], [[1, 5]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 5]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 5]], [[1, 2]], [[-1, 4]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 2]], [[1, 5]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 5]], [[-1, 4]], [[1, 2]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 4]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]]]}
  • id: 7498964
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 32, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.c1', 'kernel_order': 444, 'label': '5328.a.1p4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[1, 2]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[1, 5]], [[1, 2]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 2]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]]]}
  • id: 7498965
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 33, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.a1', 'kernel_order': 444, 'label': '5328.a.1q1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 5]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 5]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, 5]], [[1, 2]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 2]], [[-1, 2]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 2]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 4]], [[1, 1]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 4]], [[-1, 5]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 5]], [[1, 2]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]]]}
  • id: 7498966
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 34, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.a1', 'kernel_order': 444, 'label': '5328.a.1q2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 0]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 2]], [[1, 5]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 4]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[1, 5]], [[1, 5]], [[-1, 2]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 2]], [[1, 1]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 4]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]]]}
  • id: 7498967
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 35, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.a1', 'kernel_order': 444, 'label': '5328.a.1q3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 0]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, 4]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 2]], [[-1, 5]], [[1, 2]], [[-1, 4]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[1, 1]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 5]], [[1, 4]], [[-1, 2]], [[-1, 5]], [[-1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]]]}
  • id: 7498968
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 36, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.a1', 'kernel_order': 444, 'label': '5328.a.1q4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 0]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 4]], [[1, 1]], [[-1, 4]], [[1, 2]], [[-1, 5]], [[1, 2]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[1, 2]], [[-1, 2]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 2]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 2]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 4]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 4]], [[1, 5]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 5]], [[1, 2]], [[1, 5]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]]]}
  • id: 7498969
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 37, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.b1', 'kernel_order': 444, 'label': '5328.a.1r1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 0]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 5]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 5]], [[-1, 4]], [[1, 2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 4]], [[-1, 1]], [[1, 4]], [[-1, 2]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 2]], [[-1, 5]], [[-1, 2]], [[1, 2]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 2]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 4]], [[1, 1]], [[1, 2]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]]]}
  • id: 7498970
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 38, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.b1', 'kernel_order': 444, 'label': '5328.a.1r2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 2]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 5]], [[-1, 4]], [[1, 2]], [[-1, 5]], [[1, 5]], [[1, 2]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]]]}
  • id: 7498971
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 39, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.b1', 'kernel_order': 444, 'label': '5328.a.1r3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 4]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 2]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[1, 4]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, 4]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, 5]], [[-1, 4]], [[1, 2]], [[1, 5]], [[-1, 5]], [[1, 2]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[-1, 1]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 4]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]]]}
  • id: 7498973
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 40, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1.b1', 'kernel_order': 444, 'label': '5328.a.1r4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 5]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 5]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[1, 2]], [[1, 5]], [[-1, 2]], [[1, 2]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 2]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 4]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]]]}
  • id: 7498974
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 41, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 444, 'label': '5328.a.1s1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, 2]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 2]], [[1, 2]], [[-1, 5]], [[1, 5]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 5]], [[1, 5]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 5]], [[-1, 5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498975
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 42, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 444, 'label': '5328.a.1s2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 5]], [[1, 4]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 2]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 5]], [[1, 2]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 4]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 4]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498976
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 43, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 444, 'label': '5328.a.1s3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 5]], [[1, 4]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 2]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 5]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 4]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 4]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498977
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 44, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 444, 'label': '5328.a.1s4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 4]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 4]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 2]], [[1, 2]], [[1, 5]], [[-1, 5]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 5]], [[-1, 5]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 4]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 4]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 2]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 5]], [[1, 5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498978
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 45, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 444, 'label': '5328.a.1t1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 4]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 2]], [[-1, 2]], [[-1, 5]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 5]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 4]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, 5]], [[1, 5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498979
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 46, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 444, 'label': '5328.a.1t2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 5]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 2]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 2]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 2]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 5]], [[-1, 2]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 2]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 2]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 2]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498980
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 47, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 444, 'label': '5328.a.1t3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 5]], [[-1, 4]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 4]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 2]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 2]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 2]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 4]], [[1, 4]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 5]], [[-1, 2]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 2]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 2]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 2]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 4]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 4]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498981
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 48, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 444, 'label': '5328.a.1t4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 2]], [[-1, 2]], [[1, 5]], [[1, 5]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[1, 5]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 5]], [[-1, 5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498982
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 49, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '9.1', 'image_order': 9, 'indicator': 0, 'kernel': '9.a1.a1', 'kernel_order': 592, 'label': '5328.a.1u1', 'nt': [9, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498984
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 50, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '9.1', 'image_order': 9, 'indicator': 0, 'kernel': '9.a1.a1', 'kernel_order': 592, 'label': '5328.a.1u2', 'nt': [9, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498985
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 51, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '9.1', 'image_order': 9, 'indicator': 0, 'kernel': '9.a1.a1', 'kernel_order': 592, 'label': '5328.a.1u3', 'nt': [9, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498986
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 52, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '9.1', 'image_order': 9, 'indicator': 0, 'kernel': '9.a1.a1', 'kernel_order': 592, 'label': '5328.a.1u4', 'nt': [9, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498987
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 53, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '9.1', 'image_order': 9, 'indicator': 0, 'kernel': '9.a1.a1', 'kernel_order': 592, 'label': '5328.a.1u5', 'nt': [9, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498988
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 54, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '9.1', 'image_order': 9, 'indicator': 0, 'kernel': '9.a1.a1', 'kernel_order': 592, 'label': '5328.a.1u6', 'nt': [9, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498989
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 55, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.b1', 'kernel_order': 296, 'label': '5328.a.1v1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -4]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -4]], [[-1, 1]], [[1, -4]], [[-1, -4]], [[1, -1]], [[1, 4]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, 2]], [[1, -4]], [[1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -4]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -4]], [[-1, -4]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498990
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  • id: 7498991
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 57, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.b1', 'kernel_order': 296, 'label': '5328.a.1v3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 2]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, -4]], [[1, -2]], [[1, -4]], [[-1, -4]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[1, 4]], [[-1, 4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, -1]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[1, 2]], [[1, -4]], [[-1, -4]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498992
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 58, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.b1', 'kernel_order': 296, 'label': '5328.a.1v4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -2]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[-1, -2]], [[-1, -4]], [[1, -2]], [[-1, -2]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -2]], [[1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, -4]], [[-1, -4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[-1, -4]], [[-1, -4]], [[1, -4]], [[-1, 1]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, -2]], [[1, 4]], [[-1, 4]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[1, -4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498993
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 59, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.b1', 'kernel_order': 296, 'label': '5328.a.1v5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -1]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, -4]], [[1, 4]], [[1, -4]], [[-1, -4]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[1, -2]], [[-1, -2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, -4]], [[-1, 1]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, -4]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498995
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 60, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.b1', 'kernel_order': 296, 'label': '5328.a.1v6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 1]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, 4]], [[1, -4]], [[1, 4]], [[-1, 4]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, -4]], [[1, 2]], [[-1, 2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[1, -4]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[1, -4]], [[1, 4]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498996
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 61, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.a1', 'kernel_order': 296, 'label': '5328.a.1w1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -4]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, -4]], [[1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[1, -4]], [[-1, -4]], [[1, -1]], [[1, 4]], [[-1, 4]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[1, 4]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -4]], [[-1, -4]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, -4]], [[1, -1]], [[-1, 4]], [[1, -2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498997
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 62, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.a1', 'kernel_order': 296, 'label': '5328.a.1w2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 4]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -2]], [[-1, -4]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, 4]], [[1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[1, 4]], [[-1, 4]], [[1, 1]], [[1, -4]], [[-1, -4]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[1, -4]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[-1, 2]], [[1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, -4]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, 4]], [[1, 1]], [[-1, -4]], [[1, 2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498998
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 63, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.a1', 'kernel_order': 296, 'label': '5328.a.1w3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 2]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, -4]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, -1]], [[1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[1, -1]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, -4]], [[-1, -2]], [[1, 1]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498999
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 64, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.a1', 'kernel_order': 296, 'label': '5328.a.1w4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -2]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -4]], [[1, -2]], [[1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[1, -2]], [[-1, -2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, -4]], [[1, -4]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 1]], [[1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[1, 1]], [[-1, -4]], [[1, -4]], [[1, -2]], [[1, 4]], [[-1, 2]], [[1, -1]], [[-1, -4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7499000
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 65, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.a1', 'kernel_order': 296, 'label': '5328.a.1w5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -1]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -4]], [[-1, 1]], [[1, -4]], [[1, 4]], [[1, -4]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[1, 4]], [[-1, -2]], [[1, -2]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[-1, 2]], [[-1, 4]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, -4]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -4]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, 4]], [[-1, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7499001
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 66, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1.a1', 'kernel_order': 296, 'label': '5328.a.1w6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 1]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 4]], [[-1, -1]], [[1, 4]], [[1, -4]], [[1, 4]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[1, -4]], [[-1, 2]], [[1, 2]], [[-1, -4]], [[1, -1]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[-1, -4]], [[1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, 4]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, -4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7499002
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 67, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1.a1', 'kernel_order': 296, 'label': '5328.a.1x1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -4]], [[-1, 1]], [[-1, -4]], [[1, -4]], [[-1, -1]], [[-1, 4]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, -4]], [[-1, 1]], [[-1, -4]], [[1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -4]], [[1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[1, 4]], [[-1, -2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7499003
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 68, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1.a1', 'kernel_order': 296, 'label': '5328.a.1x2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -2]], [[-1, -2]], [[1, -4]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, 4]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[-1, -4]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, 4]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[1, -4]], [[-1, 2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7499004
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 69, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1.a1', 'kernel_order': 296, 'label': '5328.a.1x3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, -4]], [[-1, -2]], [[-1, -4]], [[1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[1, -2]], [[-1, 1]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7499006
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 70, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1.a1', 'kernel_order': 296, 'label': '5328.a.1x4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, -4]], [[-1, -4]], [[-1, -4]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[1, 2]], [[-1, -1]], [[-1, -4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7499007
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 71, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1.a1', 'kernel_order': 296, 'label': '5328.a.1x5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[-1, -4]], [[1, 1]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[1, -4]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, 4]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, 4]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7499008
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 72, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1.a1', 'kernel_order': 296, 'label': '5328.a.1x6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[-1, 4]], [[1, -1]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[1, -4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, -4]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, -4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7499009
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 73, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y1', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 3]], [[-1, 6]], [[1, 3]], [[-1, 3]], [[1, 15]], [[-1, 3]], [[1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 15]], [[-1, 12]], [[1, 12]], [[-1, 6]], [[1, 15]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[1, 6]], [[-1, 15]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 14]], [[1, 4]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 17]], [[-1, 7]], [[1, 17]], [[1, 1]], [[-1, 17]], [[1, 13]], [[-1, 11]], [[1, 13]], [[-1, 2]], [[1, 11]], [[1, 14]], [[-1, 16]], [[1, 14]], [[1, 5]], [[1, 8]], [[-1, 10]], [[-1, 8]], [[1, 17]], [[-1, 2]], [[1, 4]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[-1, 16]], [[1, 1]], [[1, 4]], [[-1, 13]], [[1, 10]], [[-1, 7]], [[-1, 1]], [[1, 16]], [[-1, 1]], [[1, 13]], [[1, 13]], [[-1, 4]], [[1, 17]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[-1, 10]], [[-1, 7]], [[-1, 17]], [[1, 1]], [[1, 5]], [[-1, 13]], [[1, 1]], [[1, 11]], [[1, 11]], [[-1, 7]], [[1, 5]], [[1, 8]], [[-1, 17]], [[-1, 5]], [[1, 2]], [[-1, 14]], [[-1, 5]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 11]], [[1, 16]], [[-1, 14]], [[1, 17]], [[-1, 13]], [[-1, 13]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 1]], [[-1, 4]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499019
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 82, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y10', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 15]], [[1, 12]], [[1, 15]], [[-1, 15]], [[1, 3]], [[-1, 15]], [[1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[-1, 3]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[1, 12]], [[1, 3]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[-1, 12]], [[-1, 3]], [[-1, 10]], [[1, 14]], [[1, 10]], [[1, 4]], [[1, 2]], [[1, 8]], [[1, 16]], [[-1, 2]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[-1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 13]], [[1, 17]], [[1, 13]], [[1, 5]], [[-1, 13]], [[-1, 11]], [[1, 1]], [[-1, 11]], [[-1, 10]], [[-1, 1]], [[-1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 7]], [[1, 4]], [[-1, 14]], [[-1, 4]], [[1, 13]], [[-1, 10]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 7]], [[-1, 17]], [[-1, 8]], [[1, 5]], [[-1, 2]], [[1, 11]], [[1, 14]], [[1, 17]], [[-1, 5]], [[1, 8]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[1, 2]], [[1, 13]], [[-1, 17]], [[1, 7]], [[-1, 5]], [[-1, 17]], [[-1, 14]], [[1, 17]], [[-1, 13]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 17]], [[-1, 7]], [[1, 4]], [[-1, 13]], [[1, 7]], [[1, 10]], [[1, 16]], [[1, 7]], [[1, 14]], [[-1, 4]], [[1, 10]], [[1, 1]], [[1, 8]], [[1, 16]], [[1, 13]], [[1, 11]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 17]], [[-1, 5]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499020
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 83, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y11', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[1, 3]], [[-1, 6]], [[-1, 3]], [[1, 3]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[1, 12]], [[1, 6]], [[-1, 12]], [[1, 15]], [[-1, 12]], [[1, 12]], [[-1, 6]], [[-1, 15]], [[1, 15]], [[-1, 3]], [[1, 3]], [[1, 6]], [[1, 15]], [[-1, 14]], [[-1, 16]], [[1, 14]], [[-1, 2]], [[1, 10]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 16]], [[-1, 4]], [[1, 2]], [[-1, 11]], [[-1, 13]], [[1, 11]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 14]], [[1, 5]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 17]], [[-1, 2]], [[1, 16]], [[1, 2]], [[1, 11]], [[-1, 14]], [[-1, 10]], [[-1, 5]], [[-1, 5]], [[1, 17]], [[1, 13]], [[-1, 4]], [[1, 7]], [[-1, 10]], [[1, 1]], [[-1, 16]], [[-1, 13]], [[-1, 7]], [[1, 4]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[1, 10]], [[1, 11]], [[1, 13]], [[1, 17]], [[-1, 7]], [[1, 13]], [[1, 16]], [[-1, 13]], [[-1, 11]], [[1, 7]], [[-1, 17]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 5]], [[-1, 13]], [[-1, 17]], [[-1, 2]], [[-1, 11]], [[1, 17]], [[1, 14]], [[1, 8]], [[1, 17]], [[-1, 16]], [[1, 2]], [[1, 14]], [[-1, 5]], [[1, 4]], [[1, 8]], [[1, 11]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 17]], [[1, 13]], [[-1, 7]], [[1, 10]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499021
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 84, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y12', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 15]], [[1, 12]], [[1, 15]], [[-1, 15]], [[1, 3]], [[-1, 15]], [[1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[-1, 3]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[1, 12]], [[1, 3]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[-1, 12]], [[-1, 3]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 16]], [[-1, 8]], [[-1, 14]], [[-1, 10]], [[1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 2]], [[1, 14]], [[-1, 16]], [[1, 7]], [[1, 5]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[1, 17]], [[1, 13]], [[1, 17]], [[1, 4]], [[-1, 13]], [[1, 10]], [[1, 14]], [[1, 10]], [[1, 1]], [[1, 16]], [[-1, 2]], [[-1, 16]], [[-1, 7]], [[1, 4]], [[1, 8]], [[1, 13]], [[1, 13]], [[-1, 1]], [[-1, 5]], [[1, 14]], [[-1, 11]], [[1, 8]], [[-1, 17]], [[1, 2]], [[1, 5]], [[1, 11]], [[-1, 14]], [[1, 11]], [[1, 17]], [[1, 17]], [[-1, 8]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 17]], [[-1, 11]], [[-1, 13]], [[-1, 13]], [[1, 5]], [[1, 1]], [[1, 16]], [[1, 7]], [[-1, 1]], [[-1, 4]], [[-1, 10]], [[-1, 1]], [[1, 2]], [[-1, 16]], [[-1, 4]], [[1, 13]], [[-1, 14]], [[-1, 10]], [[-1, 7]], [[-1, 17]], [[-1, 17]], [[-1, 13]], [[1, 1]], [[-1, 5]], [[1, 11]], [[-1, 8]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499010
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 74, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y2', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[1, 15]], [[1, 12]], [[-1, 15]], [[1, 15]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 12]], [[-1, 3]], [[1, 3]], [[-1, 15]], [[1, 15]], [[-1, 12]], [[1, 3]], [[1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 10]], [[1, 14]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[1, 8]], [[1, 2]], [[1, 10]], [[1, 1]], [[1, 11]], [[-1, 1]], [[-1, 17]], [[1, 1]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[1, 16]], [[-1, 7]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 13]], [[-1, 10]], [[1, 8]], [[1, 10]], [[-1, 1]], [[1, 16]], [[-1, 14]], [[1, 7]], [[1, 7]], [[1, 13]], [[-1, 11]], [[1, 2]], [[-1, 17]], [[-1, 14]], [[1, 5]], [[-1, 8]], [[1, 11]], [[1, 17]], [[-1, 2]], [[1, 17]], [[-1, 5]], [[-1, 5]], [[1, 14]], [[-1, 1]], [[-1, 11]], [[1, 13]], [[1, 17]], [[-1, 11]], [[1, 8]], [[1, 11]], [[1, 1]], [[-1, 17]], [[-1, 13]], [[1, 5]], [[-1, 17]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[-1, 13]], [[-1, 10]], [[1, 1]], [[1, 13]], [[-1, 16]], [[1, 4]], [[1, 13]], [[-1, 8]], [[1, 10]], [[-1, 16]], [[1, 7]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 7]], [[-1, 13]], [[-1, 11]], [[1, 17]], [[1, 14]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499011
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 75, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y3', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 3]], [[-1, 6]], [[1, 3]], [[-1, 3]], [[1, 15]], [[-1, 3]], [[1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 15]], [[-1, 12]], [[1, 12]], [[-1, 6]], [[1, 15]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[1, 6]], [[-1, 15]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 14]], [[-1, 16]], [[-1, 10]], [[-1, 2]], [[1, 16]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[1, 4]], [[1, 10]], [[1, 14]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 13]], [[-1, 5]], [[-1, 7]], [[1, 17]], [[-1, 7]], [[1, 8]], [[-1, 17]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 11]], [[-1, 14]], [[1, 4]], [[1, 14]], [[1, 5]], [[1, 8]], [[1, 16]], [[1, 17]], [[1, 17]], [[1, 11]], [[-1, 1]], [[1, 10]], [[1, 13]], [[1, 16]], [[1, 7]], [[-1, 4]], [[1, 1]], [[-1, 13]], [[-1, 10]], [[-1, 13]], [[-1, 7]], [[-1, 7]], [[-1, 16]], [[1, 5]], [[-1, 1]], [[1, 11]], [[-1, 13]], [[-1, 1]], [[1, 4]], [[1, 1]], [[-1, 5]], [[1, 13]], [[-1, 11]], [[1, 7]], [[1, 13]], [[-1, 17]], [[-1, 17]], [[1, 1]], [[-1, 11]], [[-1, 14]], [[-1, 5]], [[1, 11]], [[-1, 8]], [[-1, 2]], [[1, 11]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[1, 17]], [[-1, 10]], [[-1, 2]], [[1, 5]], [[1, 7]], [[1, 7]], [[-1, 17]], [[-1, 11]], [[-1, 1]], [[-1, 13]], [[-1, 16]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499012
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 76, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y4', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 15]], [[1, 12]], [[-1, 15]], [[1, 15]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 12]], [[-1, 3]], [[1, 3]], [[-1, 15]], [[1, 15]], [[-1, 12]], [[1, 3]], [[-1, 10]], [[1, 14]], [[1, 10]], [[1, 4]], [[1, 2]], [[1, 8]], [[1, 16]], [[-1, 2]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[-1, 14]], [[-1, 8]], [[-1, 4]], [[1, 13]], [[-1, 17]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[1, 11]], [[-1, 1]], [[1, 11]], [[-1, 10]], [[1, 1]], [[-1, 16]], [[-1, 8]], [[-1, 16]], [[1, 7]], [[1, 4]], [[-1, 14]], [[-1, 4]], [[-1, 13]], [[-1, 10]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[1, 17]], [[-1, 8]], [[-1, 5]], [[-1, 2]], [[-1, 11]], [[1, 14]], [[-1, 17]], [[1, 5]], [[1, 8]], [[1, 5]], [[1, 11]], [[1, 11]], [[1, 2]], [[-1, 13]], [[1, 17]], [[-1, 7]], [[1, 5]], [[1, 17]], [[-1, 14]], [[-1, 17]], [[1, 13]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 17]], [[1, 7]], [[1, 4]], [[1, 13]], [[-1, 7]], [[1, 10]], [[1, 16]], [[-1, 7]], [[1, 14]], [[-1, 4]], [[1, 10]], [[-1, 1]], [[1, 8]], [[1, 16]], [[-1, 13]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[1, 7]], [[1, 17]], [[1, 5]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499013
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 77, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y5', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 3]], [[-1, 6]], [[1, 3]], [[-1, 3]], [[1, 15]], [[-1, 3]], [[1, 3]], [[1, 15]], [[1, 3]], [[1, 15]], [[-1, 15]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 15]], [[-1, 12]], [[1, 12]], [[-1, 6]], [[1, 15]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[1, 6]], [[-1, 15]], [[-1, 14]], [[-1, 16]], [[1, 14]], [[-1, 2]], [[1, 10]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 16]], [[-1, 4]], [[1, 2]], [[1, 11]], [[1, 13]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 14]], [[-1, 5]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 17]], [[-1, 2]], [[1, 16]], [[1, 2]], [[-1, 11]], [[-1, 14]], [[-1, 10]], [[1, 5]], [[1, 5]], [[-1, 17]], [[-1, 13]], [[-1, 4]], [[-1, 7]], [[-1, 10]], [[-1, 1]], [[-1, 16]], [[1, 13]], [[1, 7]], [[1, 4]], [[1, 7]], [[1, 1]], [[1, 1]], [[1, 10]], [[-1, 11]], [[-1, 13]], [[-1, 17]], [[1, 7]], [[-1, 13]], [[1, 16]], [[1, 13]], [[1, 11]], [[-1, 7]], [[1, 17]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[1, 13]], [[1, 17]], [[-1, 2]], [[1, 11]], [[-1, 17]], [[1, 14]], [[1, 8]], [[-1, 17]], [[-1, 16]], [[1, 2]], [[1, 14]], [[1, 5]], [[1, 4]], [[1, 8]], [[-1, 11]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 17]], [[-1, 13]], [[1, 7]], [[1, 10]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499014
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 78, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y6', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 15]], [[1, 12]], [[-1, 15]], [[1, 15]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[1, 3]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 12]], [[-1, 3]], [[1, 3]], [[-1, 15]], [[1, 15]], [[-1, 12]], [[1, 3]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 16]], [[-1, 8]], [[-1, 14]], [[-1, 10]], [[1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 2]], [[1, 14]], [[-1, 16]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[1, 11]], [[-1, 7]], [[-1, 17]], [[-1, 13]], [[-1, 17]], [[1, 4]], [[1, 13]], [[1, 10]], [[1, 14]], [[1, 10]], [[-1, 1]], [[1, 16]], [[-1, 2]], [[-1, 16]], [[1, 7]], [[1, 4]], [[1, 8]], [[-1, 13]], [[-1, 13]], [[1, 1]], [[1, 5]], [[1, 14]], [[1, 11]], [[1, 8]], [[1, 17]], [[1, 2]], [[-1, 5]], [[-1, 11]], [[-1, 14]], [[-1, 11]], [[-1, 17]], [[-1, 17]], [[-1, 8]], [[1, 7]], [[1, 5]], [[1, 1]], [[-1, 11]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[1, 17]], [[1, 11]], [[1, 13]], [[1, 13]], [[-1, 5]], [[-1, 1]], [[1, 16]], [[-1, 7]], [[1, 1]], [[-1, 4]], [[-1, 10]], [[1, 1]], [[1, 2]], [[-1, 16]], [[-1, 4]], [[-1, 13]], [[-1, 14]], [[-1, 10]], [[1, 7]], [[1, 17]], [[1, 17]], [[1, 13]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[-1, 8]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499015
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 79, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y7', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 3]], [[-1, 6]], [[-1, 3]], [[1, 3]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[1, 12]], [[1, 6]], [[-1, 12]], [[1, 15]], [[-1, 12]], [[1, 12]], [[-1, 6]], [[-1, 15]], [[1, 15]], [[-1, 3]], [[1, 3]], [[1, 6]], [[1, 15]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 14]], [[1, 4]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 10]], [[-1, 16]], [[-1, 8]], [[1, 17]], [[1, 7]], [[-1, 17]], [[-1, 1]], [[1, 17]], [[-1, 13]], [[1, 11]], [[-1, 13]], [[-1, 2]], [[-1, 11]], [[1, 14]], [[-1, 16]], [[1, 14]], [[-1, 5]], [[1, 8]], [[-1, 10]], [[-1, 8]], [[-1, 17]], [[-1, 2]], [[1, 4]], [[1, 11]], [[1, 11]], [[1, 5]], [[-1, 7]], [[-1, 16]], [[-1, 1]], [[1, 4]], [[1, 13]], [[1, 10]], [[1, 7]], [[1, 1]], [[1, 16]], [[1, 1]], [[-1, 13]], [[-1, 13]], [[-1, 4]], [[-1, 17]], [[-1, 7]], [[1, 5]], [[1, 1]], [[-1, 7]], [[-1, 10]], [[1, 7]], [[1, 17]], [[-1, 1]], [[-1, 5]], [[1, 13]], [[-1, 1]], [[-1, 11]], [[-1, 11]], [[1, 7]], [[-1, 5]], [[1, 8]], [[1, 17]], [[1, 5]], [[1, 2]], [[-1, 14]], [[1, 5]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 11]], [[1, 16]], [[-1, 14]], [[-1, 17]], [[1, 13]], [[1, 13]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 4]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499017
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 80, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y8', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[-1, 15]], [[1, 12]], [[1, 15]], [[-1, 15]], [[1, 3]], [[-1, 15]], [[1, 15]], [[1, 3]], [[1, 15]], [[1, 3]], [[-1, 3]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[1, 12]], [[1, 3]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[-1, 12]], [[-1, 3]], [[1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 10]], [[1, 14]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[1, 8]], [[1, 2]], [[1, 10]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[1, 17]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[1, 5]], [[1, 16]], [[1, 7]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 13]], [[-1, 10]], [[1, 8]], [[1, 10]], [[1, 1]], [[1, 16]], [[-1, 14]], [[-1, 7]], [[-1, 7]], [[-1, 13]], [[1, 11]], [[1, 2]], [[1, 17]], [[-1, 14]], [[-1, 5]], [[-1, 8]], [[-1, 11]], [[-1, 17]], [[-1, 2]], [[-1, 17]], [[1, 5]], [[1, 5]], [[1, 14]], [[1, 1]], [[1, 11]], [[-1, 13]], [[-1, 17]], [[1, 11]], [[1, 8]], [[-1, 11]], [[-1, 1]], [[1, 17]], [[1, 13]], [[-1, 5]], [[1, 17]], [[1, 7]], [[1, 7]], [[-1, 11]], [[1, 13]], [[-1, 10]], [[-1, 1]], [[-1, 13]], [[-1, 16]], [[1, 4]], [[-1, 13]], [[-1, 8]], [[1, 10]], [[-1, 16]], [[-1, 7]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[1, 13]], [[1, 11]], [[-1, 17]], [[1, 14]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499018
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 81, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.d1', 'kernel_order': 148, 'label': '5328.a.1y9', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[1, 3]], [[-1, 6]], [[-1, 3]], [[1, 3]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 15]], [[1, 15]], [[1, 12]], [[1, 6]], [[-1, 12]], [[1, 15]], [[-1, 12]], [[1, 12]], [[-1, 6]], [[-1, 15]], [[1, 15]], [[-1, 3]], [[1, 3]], [[1, 6]], [[1, 15]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 14]], [[-1, 16]], [[-1, 10]], [[-1, 2]], [[1, 16]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[1, 4]], [[1, 10]], [[1, 14]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[1, 7]], [[-1, 17]], [[1, 7]], [[1, 8]], [[1, 17]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 11]], [[-1, 14]], [[1, 4]], [[1, 14]], [[-1, 5]], [[1, 8]], [[1, 16]], [[-1, 17]], [[-1, 17]], [[-1, 11]], [[1, 1]], [[1, 10]], [[-1, 13]], [[1, 16]], [[-1, 7]], [[-1, 4]], [[-1, 1]], [[1, 13]], [[-1, 10]], [[1, 13]], [[1, 7]], [[1, 7]], [[-1, 16]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 13]], [[1, 1]], [[1, 4]], [[-1, 1]], [[1, 5]], [[-1, 13]], [[1, 11]], [[-1, 7]], [[-1, 13]], [[1, 17]], [[1, 17]], [[-1, 1]], [[1, 11]], [[-1, 14]], [[1, 5]], [[-1, 11]], [[-1, 8]], [[-1, 2]], [[-1, 11]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 17]], [[-1, 10]], [[-1, 2]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[1, 17]], [[1, 11]], [[1, 1]], [[1, 13]], [[-1, 16]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499022
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 85, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z1', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[-1, 15]], [[1, 12]], [[-1, 12]], [[1, 6]], [[1, 15]], [[1, 15]], [[1, 3]], [[1, 3]], [[-1, 6]], [[1, 15]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 14]], [[1, 4]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 10]], [[-1, 16]], [[-1, 8]], [[1, 17]], [[-1, 7]], [[-1, 17]], [[-1, 1]], [[1, 17]], [[1, 13]], [[1, 11]], [[-1, 13]], [[1, 2]], [[1, 11]], [[-1, 14]], [[1, 16]], [[-1, 14]], [[1, 5]], [[-1, 8]], [[1, 10]], [[1, 8]], [[1, 17]], [[1, 2]], [[-1, 4]], [[1, 11]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[1, 16]], [[-1, 1]], [[-1, 4]], [[1, 13]], [[-1, 10]], [[1, 7]], [[1, 1]], [[-1, 16]], [[-1, 1]], [[1, 13]], [[-1, 13]], [[1, 4]], [[1, 17]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[1, 10]], [[-1, 7]], [[-1, 17]], [[1, 1]], [[1, 5]], [[-1, 13]], [[1, 1]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 8]], [[-1, 17]], [[1, 5]], [[-1, 2]], [[1, 14]], [[-1, 5]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[-1, 11]], [[-1, 16]], [[1, 14]], [[-1, 17]], [[-1, 13]], [[1, 13]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499032
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 94, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z10', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 15]], [[-1, 12]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 3]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 12]], [[1, 3]], [[-1, 10]], [[1, 14]], [[1, 10]], [[1, 4]], [[1, 2]], [[1, 8]], [[1, 16]], [[-1, 2]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[-1, 14]], [[-1, 8]], [[-1, 4]], [[1, 13]], [[1, 17]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[1, 10]], [[-1, 1]], [[1, 16]], [[1, 8]], [[1, 16]], [[-1, 7]], [[-1, 4]], [[1, 14]], [[1, 4]], [[1, 13]], [[1, 10]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[1, 17]], [[1, 8]], [[-1, 5]], [[1, 2]], [[-1, 11]], [[-1, 14]], [[-1, 17]], [[1, 5]], [[-1, 8]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[-1, 2]], [[1, 13]], [[-1, 17]], [[1, 7]], [[-1, 5]], [[1, 17]], [[1, 14]], [[1, 17]], [[-1, 13]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 17]], [[1, 7]], [[-1, 4]], [[-1, 13]], [[-1, 7]], [[-1, 10]], [[-1, 16]], [[1, 7]], [[-1, 14]], [[1, 4]], [[-1, 10]], [[1, 1]], [[-1, 8]], [[-1, 16]], [[-1, 13]], [[1, 11]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 17]], [[1, 5]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499033
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 95, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z11', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[1, 15]], [[1, 3]], [[-1, 15]], [[1, 15]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 15]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 6]], [[-1, 15]], [[-1, 14]], [[-1, 16]], [[1, 14]], [[-1, 2]], [[1, 10]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 16]], [[-1, 4]], [[1, 2]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 14]], [[1, 5]], [[1, 8]], [[1, 4]], [[1, 8]], [[-1, 17]], [[1, 2]], [[-1, 16]], [[-1, 2]], [[1, 11]], [[1, 14]], [[1, 10]], [[1, 5]], [[-1, 5]], [[-1, 17]], [[-1, 13]], [[1, 4]], [[-1, 7]], [[1, 10]], [[-1, 1]], [[1, 16]], [[1, 13]], [[1, 7]], [[-1, 4]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[-1, 10]], [[1, 11]], [[1, 13]], [[1, 17]], [[-1, 7]], [[-1, 13]], [[-1, 16]], [[-1, 13]], [[-1, 11]], [[1, 7]], [[-1, 17]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 5]], [[1, 13]], [[1, 17]], [[1, 2]], [[-1, 11]], [[-1, 17]], [[-1, 14]], [[-1, 8]], [[1, 17]], [[1, 16]], [[-1, 2]], [[-1, 14]], [[-1, 5]], [[-1, 4]], [[-1, 8]], [[-1, 11]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 17]], [[1, 13]], [[1, 7]], [[-1, 10]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499034
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 96, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z12', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 15]], [[-1, 12]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 3]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 12]], [[1, 3]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 16]], [[-1, 8]], [[-1, 14]], [[-1, 10]], [[1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 2]], [[1, 14]], [[-1, 16]], [[-1, 7]], [[1, 5]], [[1, 7]], [[1, 11]], [[-1, 7]], [[1, 17]], [[-1, 13]], [[-1, 17]], [[-1, 4]], [[-1, 13]], [[-1, 10]], [[-1, 14]], [[-1, 10]], [[1, 1]], [[-1, 16]], [[1, 2]], [[1, 16]], [[-1, 7]], [[-1, 4]], [[-1, 8]], [[-1, 13]], [[1, 13]], [[1, 1]], [[1, 5]], [[-1, 14]], [[1, 11]], [[-1, 8]], [[1, 17]], [[-1, 2]], [[-1, 5]], [[-1, 11]], [[1, 14]], [[1, 11]], [[1, 17]], [[-1, 17]], [[1, 8]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 2]], [[1, 5]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 17]], [[-1, 11]], [[1, 13]], [[-1, 13]], [[-1, 5]], [[-1, 1]], [[-1, 16]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, 10]], [[-1, 1]], [[-1, 2]], [[1, 16]], [[1, 4]], [[1, 13]], [[1, 14]], [[1, 10]], [[1, 7]], [[-1, 17]], [[1, 17]], [[1, 13]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[1, 8]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499023
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 86, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z2', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[1, 15]], [[-1, 12]], [[1, 15]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[1, 3]], [[1, 15]], [[-1, 3]], [[1, 3]], [[1, 6]], [[1, 12]], [[-1, 6]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[1, 12]], [[-1, 3]], [[1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 10]], [[1, 14]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[1, 8]], [[1, 2]], [[1, 10]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 17]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[1, 5]], [[-1, 16]], [[-1, 7]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 13]], [[1, 10]], [[-1, 8]], [[-1, 10]], [[-1, 1]], [[-1, 16]], [[1, 14]], [[-1, 7]], [[1, 7]], [[-1, 13]], [[1, 11]], [[-1, 2]], [[1, 17]], [[1, 14]], [[-1, 5]], [[1, 8]], [[-1, 11]], [[-1, 17]], [[1, 2]], [[1, 17]], [[-1, 5]], [[1, 5]], [[-1, 14]], [[-1, 1]], [[-1, 11]], [[1, 13]], [[1, 17]], [[1, 11]], [[-1, 8]], [[1, 11]], [[1, 1]], [[-1, 17]], [[-1, 13]], [[1, 5]], [[-1, 17]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[1, 13]], [[1, 10]], [[1, 1]], [[-1, 13]], [[1, 16]], [[-1, 4]], [[1, 13]], [[1, 8]], [[-1, 10]], [[1, 16]], [[1, 7]], [[1, 2]], [[-1, 4]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 7]], [[1, 13]], [[-1, 11]], [[-1, 17]], [[-1, 14]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499024
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 87, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z3', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[-1, 15]], [[1, 12]], [[-1, 12]], [[1, 6]], [[1, 15]], [[1, 15]], [[1, 3]], [[1, 3]], [[-1, 6]], [[1, 15]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 14]], [[-1, 16]], [[-1, 10]], [[-1, 2]], [[1, 16]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[1, 4]], [[1, 10]], [[1, 14]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[-1, 7]], [[-1, 17]], [[1, 7]], [[-1, 8]], [[-1, 17]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 11]], [[1, 14]], [[-1, 4]], [[-1, 14]], [[1, 5]], [[-1, 8]], [[-1, 16]], [[-1, 17]], [[1, 17]], [[-1, 11]], [[1, 1]], [[-1, 10]], [[-1, 13]], [[-1, 16]], [[-1, 7]], [[1, 4]], [[-1, 1]], [[1, 13]], [[1, 10]], [[-1, 13]], [[-1, 7]], [[1, 7]], [[1, 16]], [[1, 5]], [[-1, 1]], [[1, 11]], [[-1, 13]], [[1, 1]], [[-1, 4]], [[1, 1]], [[-1, 5]], [[1, 13]], [[-1, 11]], [[1, 7]], [[1, 13]], [[1, 17]], [[-1, 17]], [[-1, 1]], [[1, 11]], [[1, 14]], [[-1, 5]], [[-1, 11]], [[1, 8]], [[1, 2]], [[1, 11]], [[1, 4]], [[-1, 14]], [[1, 8]], [[1, 17]], [[1, 10]], [[1, 2]], [[-1, 5]], [[1, 7]], [[-1, 7]], [[1, 17]], [[1, 11]], [[-1, 1]], [[1, 13]], [[1, 16]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499025
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 88, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z4', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 15]], [[-1, 12]], [[1, 15]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[1, 3]], [[1, 15]], [[-1, 3]], [[1, 3]], [[1, 6]], [[1, 12]], [[-1, 6]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[1, 12]], [[-1, 3]], [[-1, 10]], [[1, 14]], [[1, 10]], [[1, 4]], [[1, 2]], [[1, 8]], [[1, 16]], [[-1, 2]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[-1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 13]], [[-1, 17]], [[1, 13]], [[1, 5]], [[-1, 13]], [[1, 11]], [[1, 1]], [[-1, 11]], [[1, 10]], [[1, 1]], [[1, 16]], [[1, 8]], [[1, 16]], [[1, 7]], [[-1, 4]], [[1, 14]], [[1, 4]], [[-1, 13]], [[1, 10]], [[1, 2]], [[1, 1]], [[-1, 1]], [[1, 7]], [[-1, 17]], [[1, 8]], [[1, 5]], [[1, 2]], [[1, 11]], [[-1, 14]], [[1, 17]], [[-1, 5]], [[-1, 8]], [[1, 5]], [[1, 11]], [[-1, 11]], [[-1, 2]], [[-1, 13]], [[1, 17]], [[-1, 7]], [[1, 5]], [[-1, 17]], [[1, 14]], [[-1, 17]], [[1, 13]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 17]], [[-1, 7]], [[-1, 4]], [[1, 13]], [[1, 7]], [[-1, 10]], [[-1, 16]], [[-1, 7]], [[-1, 14]], [[1, 4]], [[-1, 10]], [[-1, 1]], [[-1, 8]], [[-1, 16]], [[1, 13]], [[-1, 11]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 17]], [[-1, 5]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499026
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 89, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z5', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[1, 4]], [[1, 8]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[-1, 15]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[-1, 15]], [[1, 12]], [[-1, 12]], [[1, 6]], [[1, 15]], [[1, 15]], [[1, 3]], [[1, 3]], [[-1, 6]], [[1, 15]], [[-1, 14]], [[-1, 16]], [[1, 14]], [[-1, 2]], [[1, 10]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 16]], [[-1, 4]], [[1, 2]], [[-1, 11]], [[1, 13]], [[1, 11]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 14]], [[-1, 5]], [[1, 8]], [[1, 4]], [[1, 8]], [[1, 17]], [[1, 2]], [[-1, 16]], [[-1, 2]], [[-1, 11]], [[1, 14]], [[1, 10]], [[-1, 5]], [[1, 5]], [[1, 17]], [[1, 13]], [[1, 4]], [[1, 7]], [[1, 10]], [[1, 1]], [[1, 16]], [[-1, 13]], [[-1, 7]], [[-1, 4]], [[1, 7]], [[1, 1]], [[-1, 1]], [[-1, 10]], [[-1, 11]], [[-1, 13]], [[-1, 17]], [[1, 7]], [[1, 13]], [[-1, 16]], [[1, 13]], [[1, 11]], [[-1, 7]], [[1, 17]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[-1, 13]], [[-1, 17]], [[1, 2]], [[1, 11]], [[1, 17]], [[-1, 14]], [[-1, 8]], [[-1, 17]], [[1, 16]], [[-1, 2]], [[-1, 14]], [[1, 5]], [[-1, 4]], [[-1, 8]], [[1, 11]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 17]], [[-1, 13]], [[-1, 7]], [[-1, 10]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499028
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 90, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z6', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[-1, 14]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 16]], [[1, 4]], [[1, 15]], [[-1, 12]], [[1, 15]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 15]], [[1, 3]], [[1, 15]], [[-1, 3]], [[1, 3]], [[1, 6]], [[1, 12]], [[-1, 6]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[-1, 3]], [[-1, 3]], [[-1, 15]], [[-1, 15]], [[1, 12]], [[-1, 3]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 16]], [[-1, 8]], [[-1, 14]], [[-1, 10]], [[1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 2]], [[1, 14]], [[-1, 16]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[-1, 17]], [[1, 13]], [[1, 17]], [[-1, 4]], [[1, 13]], [[-1, 10]], [[-1, 14]], [[-1, 10]], [[-1, 1]], [[-1, 16]], [[1, 2]], [[1, 16]], [[1, 7]], [[-1, 4]], [[-1, 8]], [[1, 13]], [[-1, 13]], [[-1, 1]], [[-1, 5]], [[-1, 14]], [[-1, 11]], [[-1, 8]], [[-1, 17]], [[-1, 2]], [[1, 5]], [[1, 11]], [[1, 14]], [[-1, 11]], [[-1, 17]], [[1, 17]], [[1, 8]], [[1, 7]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 2]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[1, 17]], [[1, 11]], [[-1, 13]], [[1, 13]], [[1, 5]], [[1, 1]], [[-1, 16]], [[-1, 7]], [[-1, 1]], [[1, 4]], [[1, 10]], [[1, 1]], [[-1, 2]], [[1, 16]], [[1, 4]], [[-1, 13]], [[1, 14]], [[1, 10]], [[-1, 7]], [[1, 17]], [[-1, 17]], [[-1, 13]], [[1, 1]], [[1, 5]], [[1, 11]], [[1, 8]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499029
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 91, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z7', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[1, 16]], [[-1, 14]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[1, 15]], [[1, 3]], [[-1, 15]], [[1, 15]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 15]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 6]], [[-1, 15]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 14]], [[1, 4]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[-1, 10]], [[-1, 16]], [[-1, 8]], [[-1, 17]], [[1, 7]], [[1, 17]], [[1, 1]], [[-1, 17]], [[-1, 13]], [[-1, 11]], [[1, 13]], [[1, 2]], [[-1, 11]], [[-1, 14]], [[1, 16]], [[-1, 14]], [[-1, 5]], [[-1, 8]], [[1, 10]], [[1, 8]], [[-1, 17]], [[1, 2]], [[-1, 4]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[1, 7]], [[1, 16]], [[1, 1]], [[-1, 4]], [[-1, 13]], [[-1, 10]], [[-1, 7]], [[-1, 1]], [[-1, 16]], [[1, 1]], [[-1, 13]], [[1, 13]], [[1, 4]], [[-1, 17]], [[-1, 7]], [[1, 5]], [[1, 1]], [[1, 7]], [[1, 10]], [[1, 7]], [[1, 17]], [[-1, 1]], [[-1, 5]], [[1, 13]], [[-1, 1]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[-1, 8]], [[1, 17]], [[-1, 5]], [[-1, 2]], [[1, 14]], [[1, 5]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 11]], [[-1, 16]], [[1, 14]], [[1, 17]], [[1, 13]], [[-1, 13]], [[1, 11]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 4]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7499030
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 92, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z8', 'nt': [36, 12], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[1, 9]], [[-1, 12]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 14]], [[-1, 10]], [[1, 16]], [[-1, 15]], [[-1, 12]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 15]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[1, 6]], [[1, 12]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[1, 3]], [[1, 3]], [[1, 15]], [[1, 15]], [[1, 12]], [[1, 3]], [[1, 16]], [[-1, 8]], [[-1, 16]], [[-1, 10]], [[1, 14]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[-1, 8]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[1, 8]], [[1, 2]], [[1, 10]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 17]], [[1, 1]], [[1, 5]], [[1, 7]], [[-1, 5]], [[-1, 16]], [[1, 7]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 13]], [[1, 10]], [[-1, 8]], [[-1, 10]], [[1, 1]], [[-1, 16]], [[1, 14]], [[1, 7]], [[-1, 7]], [[1, 13]], [[-1, 11]], [[-1, 2]], [[-1, 17]], [[1, 14]], [[1, 5]], [[1, 8]], [[1, 11]], [[1, 17]], [[1, 2]], [[-1, 17]], [[1, 5]], [[-1, 5]], [[-1, 14]], [[1, 1]], [[1, 11]], [[-1, 13]], [[-1, 17]], [[-1, 11]], [[-1, 8]], [[-1, 11]], [[-1, 1]], [[1, 17]], [[1, 13]], [[-1, 5]], [[1, 17]], [[-1, 7]], [[1, 7]], [[1, 11]], [[-1, 13]], [[1, 10]], [[-1, 1]], [[1, 13]], [[1, 16]], [[-1, 4]], [[-1, 13]], [[1, 8]], [[-1, 10]], [[1, 16]], [[-1, 7]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[-1, 13]], [[1, 11]], [[1, 17]], [[-1, 14]], [[1, 0]], [[-1, 0]], [[-1, 9]], [[1, 9]]]}
  • id: 7499031
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 5328, 'counter': 93, 'cyclotomic_n': 36, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '36.2', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1.c1', 'kernel_order': 148, 'label': '5328.a.1z9', 'nt': [36, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 12]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 0]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[-1, 12]], [[1, 6]], [[1, 12]], [[-1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 16]], [[-1, 14]], [[1, 8]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, 15]], [[-1, 3]], [[-1, 3]], [[1, 15]], [[1, 3]], [[-1, 15]], [[1, 15]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 15]], [[1, 12]], [[-1, 12]], [[1, 6]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[-1, 6]], [[-1, 15]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 14]], [[-1, 16]], [[-1, 10]], [[-1, 2]], [[1, 16]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 14]], [[-1, 16]], [[1, 4]], [[1, 10]], [[1, 14]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 13]], [[-1, 5]], [[1, 7]], [[1, 17]], [[-1, 7]], [[-1, 8]], [[1, 17]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 11]], [[1, 14]], [[-1, 4]], [[-1, 14]], [[-1, 5]], [[-1, 8]], [[-1, 16]], [[1, 17]], [[-1, 17]], [[1, 11]], [[-1, 1]], [[-1, 10]], [[1, 13]], [[-1, 16]], [[1, 7]], [[1, 4]], [[1, 1]], [[-1, 13]], [[1, 10]], [[1, 13]], [[1, 7]], [[-1, 7]], [[1, 16]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 13]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 5]], [[-1, 13]], [[1, 11]], [[-1, 7]], [[-1, 13]], [[-1, 17]], [[1, 17]], [[1, 1]], [[-1, 11]], [[1, 14]], [[1, 5]], [[1, 11]], [[1, 8]], [[1, 2]], [[-1, 11]], [[1, 4]], [[-1, 14]], [[1, 8]], [[-1, 17]], [[1, 10]], [[1, 2]], [[1, 5]], [[-1, 7]], [[1, 7]], [[-1, 17]], [[-1, 11]], [[1, 1]], [[-1, 13]], [[1, 16]], [[1, 0]], [[-1, 0]], [[1, 9]], [[-1, 9]]]}
  • id: 7498941
    {'center': '1332.a1.a1', 'center_index': 1332, 'center_order': 4, 'counter': 145, 'cyclotomic_n': 1, 'dim': 36, 'faithful': False, 'field': [0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '1332.31', 'image_order': 1332, 'indicator': 1, 'kernel': '1332.a1.a1', 'kernel_order': 4, 'label': '5328.a.36a', 'nt': [37, 9], 'q_character': None, 'values': [[[36, 0]], [[36, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[36, 0]], [[36, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7498942
    {'center': '1332.a1.a1', 'center_index': 1332, 'center_order': 4, 'counter': 146, 'cyclotomic_n': 1, 'dim': 36, 'faithful': False, 'field': [0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '2664.b', 'image_order': 2664, 'indicator': 1, 'kernel': '2664.a1.a1', 'kernel_order': 2, 'label': '5328.a.36b', 'nt': [74, 0], 'q_character': None, 'values': [[[36, 0]], [[36, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-36, 0]], [[-36, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7498943
    {'center': '1332.a1.a1', 'center_index': 1332, 'center_order': 4, 'counter': 147, 'cyclotomic_n': 4, 'dim': 36, 'faithful': True, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '5328.a', 'image_order': 5328, 'indicator': 0, 'kernel': '5328.a1.a1', 'kernel_order': 1, 'label': '5328.a.36c1', 'nt': [148, 0], 'q_character': None, 'values': [[[36, 0]], [[-36, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-36, 1]], [[36, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]]]}
  • id: 7498944
    {'center': '1332.a1.a1', 'center_index': 1332, 'center_order': 4, 'counter': 148, 'cyclotomic_n': 4, 'dim': 36, 'faithful': True, 'field': [1, 0, 1], 'group': '5328.a', 'group_counter': 1, 'group_order': 5328, 'image': None, 'image_isoclass': '5328.a', 'image_order': 5328, 'indicator': 0, 'kernel': '5328.a1.a1', 'kernel_order': 1, 'label': '5328.a.36c2', 'nt': [148, 2], 'q_character': None, 'values': [[[36, 0]], [[-36, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[36, 1]], [[-36, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]]]}
• gps_subgroup_search •

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

  
  
  • id: 67481326
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 5328, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 222, 'label': '5328.a.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5328.a', 'subgroup_hash': 6895881831525668864, 'subgroup_order': 5328, 'subgroup_tex': 'C_4\\times F_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 67481337
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2664, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2664.a', 'subgroup_hash': 5692410122156655668, 'subgroup_order': 2664, 'subgroup_tex': 'C_{148}:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 67481348
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2664, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2664.b', 'subgroup_hash': 7967020058022097167, 'subgroup_order': 2664, 'subgroup_tex': 'C_2\\times F_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 67481359
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2664, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2664.b', 'subgroup_hash': 7967020058022097167, 'subgroup_order': 2664, 'subgroup_tex': 'C_2\\times F_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 67481370
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1776, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1776.119', 'subgroup_hash': 119, 'subgroup_order': 1776, 'subgroup_tex': 'C_{148}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481381
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1332, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1332.32', 'subgroup_hash': 32, 'subgroup_order': 1332, 'subgroup_tex': 'C_{74}:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 67481392
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1332, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1332.20', 'subgroup_hash': 20, 'subgroup_order': 1332, 'subgroup_tex': 'C_{148}:C_9', 'supersolvable': True, 'sylow': 0}
  • id: 67481403
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1332, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1332.19', 'subgroup_hash': 19, 'subgroup_order': 1332, 'subgroup_tex': 'C_{37}:C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481414
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1332, 'counter': 9, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '5328.a.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1332.31', 'subgroup_hash': 31, 'subgroup_order': 1332, 'subgroup_tex': 'F_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 67481327
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1332, 'counter': 10, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '5328.a.4.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1332.31', 'subgroup_hash': 31, 'subgroup_order': 1332, 'subgroup_tex': 'F_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 67481328
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1332, 'counter': 11, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '5328.a.4.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1332.31', 'subgroup_hash': 31, 'subgroup_order': 1332, 'subgroup_tex': 'F_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 67481329
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1332, 'counter': 12, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '5328.a.4.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1332.31', 'subgroup_hash': 31, 'subgroup_order': 1332, 'subgroup_tex': 'F_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 67481330
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 888, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '888.9', 'subgroup_hash': 9, 'subgroup_order': 888, 'subgroup_tex': 'C_{148}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 67481331
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 888, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '888.45', 'subgroup_hash': 45, 'subgroup_order': 888, 'subgroup_tex': 'C_{74}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481332
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 888, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '888.45', 'subgroup_hash': 45, 'subgroup_order': 888, 'subgroup_tex': 'C_{74}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481333
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 666, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '666.8', 'subgroup_hash': 8, 'subgroup_order': 666, 'subgroup_tex': 'C_{37}:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 67481334
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 666, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '666.7', 'subgroup_hash': 7, 'subgroup_order': 666, 'subgroup_tex': 'C_{37}:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 67481335
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 666, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.8.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '666.7', 'subgroup_hash': 7, 'subgroup_order': 666, 'subgroup_tex': 'C_{37}:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 67481336
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 592, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 74, 'label': '5328.a.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '9.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '9.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '592.30', 'subgroup_hash': 30, 'subgroup_order': 592, 'subgroup_tex': 'C_{148}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481338
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 444, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.8', 'subgroup_hash': 8, 'subgroup_order': 444, 'subgroup_tex': 'C_{74}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 67481339
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 444, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.2', 'subgroup_hash': 2, 'subgroup_order': 444, 'subgroup_tex': 'C_{148}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 67481340
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 444, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.1', 'subgroup_hash': 1, 'subgroup_order': 444, 'subgroup_tex': 'C_{37}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481341
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 444, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.7', 'subgroup_hash': 7, 'subgroup_order': 444, 'subgroup_tex': 'C_{37}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481342
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 444, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.12.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.7', 'subgroup_hash': 7, 'subgroup_order': 444, 'subgroup_tex': 'C_{37}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481343
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 444, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.12.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.7', 'subgroup_hash': 7, 'subgroup_order': 444, 'subgroup_tex': 'C_{37}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481344
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 444, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.12.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.7', 'subgroup_hash': 7, 'subgroup_order': 444, 'subgroup_tex': 'C_{37}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481345
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 333, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 111, 'label': '5328.a.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '333.3', 'subgroup_hash': 3, 'subgroup_order': 333, 'subgroup_tex': 'C_{37}:C_9', 'supersolvable': True, 'sylow': 0}
  • id: 67481346
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 296, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '296.5', 'subgroup_hash': 5, 'subgroup_order': 296, 'subgroup_tex': 'C_4\\times D_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 67481347
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 296, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.18.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '296.12', 'subgroup_hash': 12, 'subgroup_order': 296, 'subgroup_tex': 'C_{74}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481349
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 296, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.18.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '296.12', 'subgroup_hash': 12, 'subgroup_order': 296, 'subgroup_tex': 'C_{74}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481350
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 222, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '222.2', 'subgroup_hash': 2, 'subgroup_order': 222, 'subgroup_tex': 'C_{37}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 67481351
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 222, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '222.1', 'subgroup_hash': 1, 'subgroup_order': 222, 'subgroup_tex': 'C_{37}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 67481352
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 222, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.24.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '222.1', 'subgroup_hash': 1, 'subgroup_order': 222, 'subgroup_tex': 'C_{37}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 67481353
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 148, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.36.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '148.4', 'subgroup_hash': 4, 'subgroup_order': 148, 'subgroup_tex': 'D_{74}', 'supersolvable': True, 'sylow': 0}
  • id: 67481354
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 148, 'characteristic': True, 'core_order': 148, 'counter': 35, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '5328.a.36.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '148.2', 'subgroup_hash': 2, 'subgroup_order': 148, 'subgroup_tex': 'C_{148}', 'supersolvable': True, 'sylow': 0}
  • id: 67481355
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 148, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.36.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '148.1', 'subgroup_hash': 1, 'subgroup_order': 148, 'subgroup_tex': 'C_{37}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481356
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 148, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.36.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '148.3', 'subgroup_hash': 3, 'subgroup_order': 148, 'subgroup_tex': 'C_{37}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481357
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 148, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.36.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '148.3', 'subgroup_hash': 3, 'subgroup_order': 148, 'subgroup_tex': 'C_{37}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481358
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 148, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.36.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.d1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '148.3', 'subgroup_hash': 3, 'subgroup_order': 148, 'subgroup_tex': 'C_{37}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481360
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 148, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.36.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.d1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '148.3', 'subgroup_hash': 3, 'subgroup_order': 148, 'subgroup_tex': 'C_{37}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481361
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '5328.a.37.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 37, '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': '144.20', 'subgroup_hash': 20, 'subgroup_order': 144, 'subgroup_tex': 'C_4\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481362
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 111, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '111.1', 'subgroup_hash': 1, 'subgroup_order': 111, 'subgroup_tex': 'C_{37}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 67481363
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 148, 'characteristic': True, 'core_order': 74, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '5328.a.72.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '74.2', 'subgroup_hash': 2, 'subgroup_order': 74, 'subgroup_tex': 'C_{74}', 'supersolvable': True, 'sylow': 0}
  • id: 67481364
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 74, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.72.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '74.1', 'subgroup_hash': 1, 'subgroup_order': 74, 'subgroup_tex': 'D_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 67481365
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 74, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '5328.a.72.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '74.1', 'subgroup_hash': 1, 'subgroup_order': 74, 'subgroup_tex': 'D_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 67481366
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.74.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '74.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 74, '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': '72.9', 'subgroup_hash': 9, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481367
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.74.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '74.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 74, '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': '72.9', 'subgroup_hash': 9, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481368
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.74.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '74.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 74, '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': '72.9', 'subgroup_hash': 9, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481369
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.111.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '111.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 111, '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': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481371
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 148, 'characteristic': True, 'core_order': 37, 'counter': 50, 'cyclic': True, 'direct': False, 'hall': 37, 'label': '5328.a.144.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '144.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{36}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '37.1', 'subgroup_hash': 1, 'subgroup_order': 37, 'subgroup_tex': 'C_{37}', 'supersolvable': True, 'sylow': 37}
  • id: 67481372
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.148.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '36.5', 'subgroup_hash': 5, 'subgroup_order': 36, 'subgroup_tex': 'C_2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 67481373
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 52, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.148.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481374
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 53, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.148.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481375
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 54, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.148.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481376
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.148.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481377
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 56, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.148.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.d1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481378
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 57, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.148.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.d1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 67481379
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.222.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '222.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 222, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481380
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.222.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '222.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 222, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481382
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.222.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '222.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 222, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481383
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 61, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.296.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '296.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 296, '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': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 67481384
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 62, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.296.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '296.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 296, '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': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 67481385
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 63, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.296.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '296.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 296, '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': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 67481386
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '5328.a.333.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '333.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 333, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 2}
  • id: 67481387
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.444.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 67481388
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.444.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481389
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.444.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481390
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 68, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.444.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481391
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.444.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481393
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 70, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.444.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.d1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481394
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 71, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.444.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.d1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 67481395
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 72, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '5328.a.592.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '592.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 592, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 3}
  • id: 67481396
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.666.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '666.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 666, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481397
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.666.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '666.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 666, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481398
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.666.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '666.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 666, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481399
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.888.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '888.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 888, '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: 67481400
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 77, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.888.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '888.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 888, '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: 67481401
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 78, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.888.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '888.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 888, '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: 67481402
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 5328, 'characteristic': True, 'core_order': 4, 'counter': 79, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '5328.a.1332.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1332.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1332.31', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1332, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{37}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481404
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '5328.a.1332.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': 0}
  • id: 67481405
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 81, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.1332.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481406
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 82, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.1332.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481407
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 83, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.1332.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481408
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.1332.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.d1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481409
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 85, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.1332.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.d1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67481410
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 86, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.1776.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1776.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1776, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 67481411
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 5328, 'characteristic': True, 'core_order': 2, 'counter': 87, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '5328.a.2664.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2664.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2664.b', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7967020058022097167, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2664, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{37}', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67481412
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 88, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.2664.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2664.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2664, '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: 67481413
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 89, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '5328.a.2664.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2664.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2664, '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: 67481415
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '5328.a', 'ambient_counter': 1, 'ambient_order': 5328, 'ambient_tex': 'C_4\\times F_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 5328, 'characteristic': True, 'core_order': 1, 'counter': 90, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '5328.a.5328.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '5328.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '5328.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6895881831525668864, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 5328, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times F_{37}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C7'], '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: 67481326
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['5328.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '3.a1.a1', '37.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3265, 4249, 5521, 3785, 5023, 7114, 5194, 4379], 'generators': [18, 2664, 12, 4, 1332, 9, 144], 'label': '5328.a.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.b1', '2.b1.a1', '3.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481327
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['1332.a1.a1', '1332.c1.a1', '1332.d1.d1', '1332.d1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '12.d1.b1', '148.d1.b1'], 'core': '4.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [598, 8574, 8941, 6295, 995, 9571, 8674, 1044], 'generators': [12, 144, 3186, 4, 81], 'label': '5328.a.4.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1.b1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['8.b1.a1', '12.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.b1', 'projective_image': '5328.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481328
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['1332.a1.a1', '1332.c1.a1', '1332.d1.b1', '1332.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1'], 'contains': ['8.b1.b1', '12.d1.c1', '148.d1.c1'], 'core': '4.d1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [598, 8574, 8104, 3320, 995, 9571, 6159, 4718], 'generators': [12, 144, 4266, 4, 45], 'label': '5328.a.4.d1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1.c1', 'normal_contained_in': ['2.b1.b1'], 'normal_contains': ['8.b1.b1', '12.d1.c1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.c1', 'projective_image': '5328.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.d1.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481329
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['1332.a1.a1', '1332.c1.a1', '1332.d1.a1', '1332.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1'], 'contains': ['8.b1.b1', '12.d1.d1', '148.d1.d1'], 'core': '4.d1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [598, 8574, 6485, 2733, 995, 9571, 5897, 6210], 'generators': [12, 144, 2106, 4, 117], 'label': '5328.a.4.d1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1.d1', 'normal_contained_in': ['2.b1.b1'], 'normal_contains': ['8.b1.b1', '12.d1.d1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.d1', 'projective_image': '5328.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.d1.d1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481330
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '18.a1.a1', '222.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8338, 2458, 1177, 7314, 7823, 4078, 1972, 6894], 'generators': [2664, 144, 12, 1332, 18], 'label': '5328.a.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '18.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481331
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.a1', '12.d1.b1', '18.b1.a1', '222.b1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5315, 4786, 6169, 2928, 3773, 8537, 7556, 1728], 'generators': [18, 144, 12, 2664, 9], 'label': '5328.a.6.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.b1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.d1.a1', '12.d1.b1', '18.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481332
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.c1', '12.d1.d1', '18.b1.b1', '222.b1.b1'], 'core': '6.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5315, 4786, 3633, 594, 3773, 8537, 4797, 4034], 'generators': [4266, 144, 12, 2664, 45], 'label': '5328.a.6.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.b1', 'normal_contained_in': ['2.b1.b1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.d1.d1', '12.d1.c1', '18.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481385
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '296.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '148.a1.a1', '148.d1.c1', '148.d1.d1'], 'contains': ['592.a1.a1', '888.b1.b1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [230, -1, 7935, -1, 1136, -1, 6201, -1], 'generators': [2682, 4, 12], 'label': '5328.a.296.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '296.b1.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '296.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481333
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '24.a1.a1', '296.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3489, 7200, 4529, 9237, 3559, 3249, 2846, 8561], 'generators': [2664, 4, 144, 12], 'label': '5328.a.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481334
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.d1.b1'], 'contains': ['16.a1.a1', '24.b1.a1', '296.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [499, 9103, 8651, 6451, 691, 7231, 9183, 2411], 'generators': [18, 4, 144, 12], 'label': '5328.a.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.d1.a1', '4.d1.b1'], 'normal_contains': ['16.a1.a1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481335
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.c1', '4.d1.d1'], 'contains': ['16.a1.a1', '24.b1.b1', '296.b1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [499, 9103, 7843, 4575, 691, 7231, 7046, 6162], 'generators': [90, 4, 144, 12], 'label': '5328.a.8.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': ['4.a1.a1', '4.d1.d1', '4.d1.c1'], 'normal_contains': ['16.a1.a1', '24.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481336
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['592.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['18.a1.a1', '18.b1.a1', '18.b1.b1', '333.a1.a1'], 'core': '9.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9770, 751, 370, 2146, 8704, 7114, 3721, 3094], 'generators': [2664, 144, 18, 1332, 9], 'label': '5328.a.9.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '9.a1.a1', 'normal_contained_in': ['3.a1.a1'], 'normal_contains': ['18.a1.a1', '18.b1.b1', '18.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '9.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': '9.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481337
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '6.a1.a1', '74.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4068, 4249, 3285, 7314, 5459, 4078, 2891, 6894], 'generators': [2664, 12, 144, 4, 1332, 18], 'label': '5328.a.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481338
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.b1.b1', '36.a1.a1', '444.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4817, 5776, 3953, 4710, 4509, 5984, 5512, 4756], 'generators': [18, 2664, 144, 12], 'label': '5328.a.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.b1', '6.b1.a1'], 'normal_contains': ['24.a1.a1', '24.b1.a1', '24.b1.b1', '36.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481339
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '36.b1.a1', '444.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8299, 3796, 1190, 9608, 8855, 645, 1196, 9574], 'generators': [1332, 12, 144, 2664], 'label': '5328.a.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '36.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481340
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '36.c1.a1', '444.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7182, 2346, 1905, 8205, 8082, 1892, 192, 7664], 'generators': [2646, 12, 144, 2664], 'label': '5328.a.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '36.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481341
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '36.d1.a1', '444.d1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3186, 7602, 7469, 3394, 1295, 9629, 9582, 1766], 'generators': [9, 12, 144, 18], 'label': '5328.a.12.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.d1.a1', 'normal_contained_in': ['4.d1.a1', '6.b1.a1'], 'normal_contains': ['24.b1.a1', '36.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481342
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '6.b1.a1'], 'contains': ['24.b1.a1', '36.d1.b1', '444.d1.b1'], 'core': '12.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3186, 7602, 7969, 6025, 1295, 9629, 8518, 245], 'generators': [81, 12, 144, 3186], 'label': '5328.a.12.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.d1.b1', 'normal_contained_in': ['4.d1.b1', '6.b1.a1'], 'normal_contains': ['24.b1.a1', '36.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481343
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.c1', '6.b1.b1'], 'contains': ['24.b1.b1', '36.d1.c1', '444.d1.c1'], 'core': '12.d1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3186, 7602, 6051, 1579, 1295, 9629, 5041, 3995], 'generators': [45, 12, 144, 4266], 'label': '5328.a.12.d1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.d1.c1', 'normal_contained_in': ['4.d1.c1', '6.b1.b1'], 'normal_contains': ['24.b1.b1', '36.d1.c1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.c1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481344
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.d1', '6.b1.b1'], 'contains': ['24.b1.b1', '36.d1.d1', '444.d1.d1'], 'core': '12.d1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3186, 7602, 4613, 392, 1295, 9629, 4683, 5517], 'generators': [117, 12, 144, 2106], 'label': '5328.a.12.d1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.d1.d1', 'normal_contained_in': ['4.d1.d1', '6.b1.b1'], 'normal_contains': ['24.b1.b1', '36.d1.d1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.d1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.d1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481345
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['333.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1'], 'contains': ['48.a1.a1', '592.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1012, 9249, 8545, 6936, 2077, 5112, 6559, 6162], 'generators': [4, 12, 144], 'label': '5328.a.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1'], 'normal_contains': ['48.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '5328.a', 'quotient_action_image': '4.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481346
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.b1.a1', '36.c1.a1', '666.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9685, 1459, 467, 6969, 9668, 4672, 658, 6913], 'generators': [18, 1332, 144, 2664], 'label': '5328.a.18.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': ['6.a1.a1', '9.a1.a1'], 'normal_contains': ['36.a1.a1', '36.b1.a1', '36.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481347
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.d1.a1', '36.d1.b1', '666.b1.a1'], 'core': '18.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7761, 3796, 4592, 2374, 5391, 8478, 7556, 1006], 'generators': [9, 2664, 144, 18], 'label': '5328.a.18.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.b1.a1', 'normal_contained_in': ['6.b1.a1', '9.a1.a1'], 'normal_contains': ['36.a1.a1', '36.d1.a1', '36.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '18.b1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481348
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '4.d1.b1', '6.b1.a1', '74.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2707, 6621, 7915, 4332, 2832, 8478, 7824, 2411], 'generators': [18, 12, 144, 4, 2664, 9], 'label': '5328.a.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.d1.a1', '4.d1.b1', '6.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481349
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.d1.c1', '36.d1.d1', '666.b1.b1'], 'core': '18.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7761, 3796, 2178, 810, 5391, 8478, 3721, 3235], 'generators': [45, 2664, 144, 4266], 'label': '5328.a.18.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.b1.b1', 'normal_contained_in': ['6.b1.b1', '9.a1.a1'], 'normal_contains': ['36.a1.a1', '36.d1.d1', '36.d1.c1'], 'normalizer': '1.a1.a1', 'old_label': '18.b1.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481350
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'contains': ['48.a1.a1', '72.a1.a1', '888.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5236, 6100, 2978, 8825, 5577, 3850, 2789, 7615], 'generators': [2664, 12, 144], 'label': '5328.a.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481351
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.d1.a1', '12.d1.b1'], 'contains': ['48.a1.a1', '72.b1.a1', '888.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2957, 7764, 7830, 5661, 2686, 6747, 8293, 2411], 'generators': [18, 12, 144], 'label': '5328.a.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.d1.a1', '12.d1.b1'], 'normal_contains': ['48.a1.a1', '72.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481352
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.a1.a1', '12.d1.c1', '12.d1.d1'], 'contains': ['48.a1.a1', '72.b1.b1', '888.b1.b1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2957, 7764, 5892, 3758, 2686, 6747, 5888, 5513], 'generators': [90, 12, 144], 'label': '5328.a.24.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': ['8.b1.b1', '12.a1.a1', '12.d1.d1', '12.d1.c1'], 'normal_contains': ['48.a1.a1', '72.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481353
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '36.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '18.a1.a1', '18.b1.a1', '18.b1.b1'], 'contains': ['72.a1.a1', '72.b1.a1', '72.b1.b1', '1332.b1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7458, 3959, 2376, 4285, 6223, 5984, 4635, 4432], 'generators': [18, 2664, 144], 'label': '5328.a.36.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.a1.a1', 'normal_contained_in': ['12.a1.a1', '18.a1.a1', '18.b1.b1', '18.b1.a1'], 'normal_contains': ['72.a1.a1', '72.b1.a1', '72.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '36.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481354
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '36.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.b1.a1', 'complements': ['148.d1.a1', '148.d1.b1', '148.d1.c1', '148.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '18.a1.a1'], 'contains': ['72.a1.a1', '1332.a1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9482, 3166, 488, 8137, 8741, 1907, 1311, 8318], 'generators': [1332, 144, 2664], 'label': '5328.a.36.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.b1.a1', 'normal_contained_in': ['12.b1.a1', '18.a1.a1'], 'normal_contains': ['72.a1.a1', '1332.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.b1.a1', 'projective_image': '1332.31', 'quotient_action_image': '36.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '36.b1.a1', 'subgroup_fusion': None, 'weyl_group': '36.2'}
  • id: 67481355
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '36.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['148.d1.a1', '148.d1.b1', '148.d1.d1', '148.d1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '18.a1.a1'], 'contains': ['72.a1.a1', '1332.c1.a1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8516, 2243, 942, 6862, 8118, 2699, 881, 6855], 'generators': [2646, 2664, 144], 'label': '5328.a.36.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.c1.a1', 'normal_contained_in': ['12.c1.a1', '18.a1.a1'], 'normal_contains': ['72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.c1.a1', 'projective_image': '2664.b', 'quotient_action_image': '36.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '36.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481356
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['148.b1.a1', '148.c1.a1', '148.d1.c1', '148.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '18.b1.a1'], 'contains': ['72.b1.a1', '1332.d1.a1'], 'core': '36.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5980, 5248, 5525, 3225, 3227, 8478, 8918, 1766], 'generators': [9, 18, 144], 'label': '5328.a.36.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.d1.a1', 'normal_contained_in': ['12.d1.a1', '18.b1.a1'], 'normal_contains': ['72.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.d1.a1', 'projective_image': '5328.a', 'quotient_action_image': '9.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '36.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481357
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['148.b1.a1', '148.c1.a1', '148.d1.d1', '148.d1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['12.d1.b1', '18.b1.a1'], 'contains': ['72.b1.a1', '1332.d1.b1'], 'core': '36.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5980, 5248, 6026, 4987, 3227, 8478, 7668, 1006], 'generators': [81, 3186, 144], 'label': '5328.a.36.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.d1.b1', 'normal_contained_in': ['12.d1.b1', '18.b1.a1'], 'normal_contains': ['72.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.d1.b1', 'projective_image': '5328.a', 'quotient_action_image': '9.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '36.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481358
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['148.b1.a1', '148.c1.a1', '148.d1.b1', '148.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['12.d1.c1', '18.b1.b1'], 'contains': ['72.b1.b1', '1332.d1.c1'], 'core': '36.d1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5980, 5248, 3583, 1599, 3227, 8478, 4322, 3928], 'generators': [45, 4266, 144], 'label': '5328.a.36.d1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.d1.c1', 'normal_contained_in': ['12.d1.c1', '18.b1.b1'], 'normal_contains': ['72.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '36.d1.c1', 'projective_image': '5328.a', 'quotient_action_image': '9.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '36.d1.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481359
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.c1', '4.d1.d1', '6.b1.b1', '74.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2707, 6621, 6619, 3238, 2832, 8478, 5756, 4810], 'generators': [4266, 12, 144, 4, 2664, 45], 'label': '5328.a.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.d1.d1', '4.d1.c1', '6.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481360
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['148.b1.a1', '148.c1.a1', '148.d1.a1', '148.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['12.d1.d1', '18.b1.b1'], 'contains': ['72.b1.b1', '1332.d1.d1'], 'core': '36.d1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5980, 5248, 3083, 797, 3227, 8478, 3964, 4936], 'generators': [117, 2106, 144], 'label': '5328.a.36.d1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.d1.d1', 'normal_contained_in': ['12.d1.d1', '18.b1.b1'], 'normal_contains': ['72.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '36.d1.d1', 'projective_image': '5328.a', 'quotient_action_image': '9.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '36.d1.d1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481361
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '37.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['74.a1.a1', '74.b1.a1', '74.b1.b1', '111.a1.a1'], 'core': '1332.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [1557, -1, 5135, -1, 4586, -1, 5194, -1], 'generators': [9, 12, 2664, 1332, 4, 18], 'label': '5328.a.37.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '37.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481362
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1'], 'contains': ['144.a1.a1', '1776.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2707, 7516, 7014, 6174, 3609, 4943, 5840, 5837], 'generators': [12, 144], 'label': '5328.a.48.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1'], 'normal_contains': ['144.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481363
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '72.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '36.a1.a1', '36.b1.a1', '36.c1.a1'], 'contains': ['144.a1.a1', '2664.a1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7832, 3924, 1750, 6862, 6223, 3850, 2789, 6855], 'generators': [2664, 144], 'label': '5328.a.72.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '72.a1.a1', 'normal_contained_in': ['24.a1.a1', '36.a1.a1', '36.b1.a1', '36.c1.a1'], 'normal_contains': ['144.a1.a1', '2664.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': '36.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '36.2'}
  • id: 67481364
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '36.a1.a1', '36.d1.a1', '36.d1.b1'], 'contains': ['144.a1.a1', '2664.b1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5972, 4889, 5673, 4987, 4082, 6366, 7701, 2411], 'generators': [18, 144], 'label': '5328.a.72.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.b1.a1', 'normal_contained_in': ['24.b1.a1', '36.a1.a1', '36.d1.a1', '36.d1.b1'], 'normal_contains': ['144.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.b1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481365
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.b1', '36.a1.a1', '36.d1.c1', '36.d1.d1'], 'contains': ['144.a1.a1', '2664.b1.b1'], 'core': '72.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5972, 4889, 3032, 3758, 4082, 6366, 4854, 4936], 'generators': [90, 144], 'label': '5328.a.72.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.b1.b1', 'normal_contained_in': ['24.b1.b1', '36.a1.a1', '36.d1.d1', '36.d1.c1'], 'normal_contains': ['144.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.b1.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481366
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '74.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '37.a1.a1'], 'contains': ['148.a1.a1', '148.b1.a1', '148.c1.a1', '222.a1.a1'], 'core': '1332.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [2885, -1, 4021, -1, 4586, -1, 3183, -1], 'generators': [18, 12, 1332, 4, 2664], 'label': '5328.a.74.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '74.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '74.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481367
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '74.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '37.a1.a1'], 'contains': ['148.a1.a1', '148.d1.a1', '148.d1.b1', '222.b1.a1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [808, -1, 8747, -1, 1959, -1, 8094, -1], 'generators': [9, 12, 2664, 4, 18], 'label': '5328.a.74.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '74.b1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '74.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481368
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '74.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '37.a1.a1'], 'contains': ['148.a1.a1', '148.d1.c1', '148.d1.d1', '222.b1.b1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [808, -1, 7111, -1, 1959, -1, 5522, -1], 'generators': [1341, 12, 2664, 4, 2682], 'label': '5328.a.74.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '74.b1.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '74.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481369
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '111.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '37.a1.a1'], 'contains': ['222.a1.a1', '222.b1.a1', '222.b1.b1', '333.a1.a1'], 'core': '1332.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [7208, -1, 1858, -1, 5327, -1, 4259, -1], 'generators': [9, 2664, 1332, 12, 18], 'label': '5328.a.111.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '111.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '111.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481370
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.b1.b1', '9.a1.a1', '111.a1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8338, 1681, 1190, 2241, 6400, 7114, 4331, 3947], 'generators': [18, 2664, 144, 12, 1332, 9], 'label': '5328.a.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.b1.b1', '6.b1.a1', '9.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481371
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '144.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.b1.a1', 'complements': ['37.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '72.a1.a1', '72.b1.a1', '72.b1.b1'], 'contains': ['5328.a1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5631, 4641, 4184, 6174, 4191, 4774, 5059, 5837], 'generators': [144], 'label': '5328.a.144.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '144.a1.a1', 'normal_contained_in': ['48.a1.a1', '72.a1.a1', '72.b1.a1', '72.b1.b1'], 'normal_contains': ['5328.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.a1.a1', 'projective_image': '5328.a', 'quotient_action_image': '36.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '144.a1.a1', 'subgroup_fusion': None, 'weyl_group': '36.2'}
  • id: 67481372
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '148.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '74.a1.a1', '74.b1.a1', '74.b1.b1'], 'contains': ['296.a1.a1', '296.b1.a1', '296.b1.b1', '444.a1.a1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [1557, -1, 7481, -1, 1936, -1, 6580, -1], 'generators': [18, 2664, 4, 12], 'label': '5328.a.148.a1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '148.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481373
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '148.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '74.a1.a1'], 'contains': ['296.a1.a1', '444.b1.a1'], 'core': '1332.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [4455, -1, 3571, -1, 6432, -1, 2378, -1], 'generators': [1332, 4, 2664, 12], 'label': '5328.a.148.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '148.b1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481374
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '148.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '74.a1.a1'], 'contains': ['296.a1.a1', '444.c1.a1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3877, -1, 3940, -1, 6032, -1, 1620, -1], 'generators': [1350, 4, 2664, 12], 'label': '5328.a.148.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '148.c1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481375
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '148.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '74.b1.a1'], 'contains': ['296.b1.a1', '444.d1.a1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [395, -1, 8861, -1, 159, -1, 9895, -1], 'generators': [9, 4, 18, 12], 'label': '5328.a.148.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '148.d1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481376
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '148.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '74.b1.a1'], 'contains': ['296.b1.a1', '444.d1.b1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [395, -1, 9550, -1, 159, -1, 8831, -1], 'generators': [2673, 4, 18, 12], 'label': '5328.a.148.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '148.d1.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481377
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '148.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.c1', '74.b1.b1'], 'contains': ['296.b1.b1', '444.d1.c1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [395, -1, 8011, -1, 159, -1, 6201, -1], 'generators': [1341, 4, 2682, 12], 'label': '5328.a.148.d1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '148.d1.c1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.d1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481378
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '148.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.d1', '74.b1.b1'], 'contains': ['296.b1.b1', '444.d1.d1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [395, -1, 6952, -1, 159, -1, 5936, -1], 'generators': [4005, 4, 2682, 12], 'label': '5328.a.148.d1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '148.d1.d1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.d1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481379
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '222.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '74.a1.a1', '111.a1.a1'], 'contains': ['444.a1.a1', '444.b1.a1', '444.c1.a1', '666.a1.a1'], 'core': '1332.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [7208, -1, 2019, -1, 7005, -1, 1999, -1], 'generators': [18, 1332, 12, 2664], 'label': '5328.a.222.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '222.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '222.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481380
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '222.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '74.b1.a1', '111.a1.a1'], 'contains': ['444.a1.a1', '444.d1.a1', '444.d1.b1', '666.b1.a1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [4455, -1, 6952, -1, 2677, -1, 8094, -1], 'generators': [9, 2664, 12, 18], 'label': '5328.a.222.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '222.b1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '222.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481381
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '12.a1.a1', '148.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2707, 7260, 7456, 5256, 2832, 5596, 6622, 5464], 'generators': [12, 144, 4, 2664, 18], 'label': '5328.a.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.b1', '2.b1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481382
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '222.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '74.b1.b1', '111.a1.a1'], 'contains': ['444.a1.a1', '444.d1.c1', '444.d1.d1', '666.b1.b1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [4455, -1, 4025, -1, 2677, -1, 4259, -1], 'generators': [45, 2664, 876, 4266], 'label': '5328.a.222.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '222.b1.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '222.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481383
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '296.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '148.a1.a1', '148.b1.a1', '148.c1.a1'], 'contains': ['592.a1.a1', '888.a1.a1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3232, -1, 4903, -1, 3700, -1, 3213, -1], 'generators': [2664, 4, 12], 'label': '5328.a.296.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '296.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '296.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481384
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '296.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '148.a1.a1', '148.d1.a1', '148.d1.b1'], 'contains': ['592.a1.a1', '888.b1.a1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [230, -1, 9222, -1, 1136, -1, 8605, -1], 'generators': [18, 4, 12], 'label': '5328.a.296.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '296.b1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '296.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481386
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '333.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '111.a1.a1'], 'contains': ['666.a1.a1', '666.b1.a1', '666.b1.b1'], 'core': '1332.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [9357, -1, 887, -1, 7563, -1, 3306, -1], 'generators': [9, 1332], 'label': '5328.a.333.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '333.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '333.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481387
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '444.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '148.a1.a1', '222.a1.a1', '222.b1.a1', '222.b1.b1'], 'contains': ['888.a1.a1', '888.b1.a1', '888.b1.b1', '1332.b1.a1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [4389, -1, 4243, -1, 4209, -1, 5504, -1], 'generators': [18, 2664, 12], 'label': '5328.a.444.a1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '444.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481388
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '444.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '148.b1.a1', '222.a1.a1'], 'contains': ['888.a1.a1', '1332.a1.a1'], 'core': '1332.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [7543, -1, 1896, -1, 7027, -1, 2357, -1], 'generators': [1332, 12, 2664], 'label': '5328.a.444.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '444.b1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481389
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '444.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '148.c1.a1', '222.a1.a1'], 'contains': ['888.a1.a1', '1332.c1.a1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [6964, -1, 2267, -1, 6627, -1, 1683, -1], 'generators': [1350, 12, 2664], 'label': '5328.a.444.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '444.c1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481390
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '444.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '148.d1.a1', '222.b1.a1'], 'contains': ['888.b1.a1', '1332.d1.a1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3403, -1, 8407, -1, 1536, -1, 9231, -1], 'generators': [9, 12, 18], 'label': '5328.a.444.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '444.d1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481391
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '444.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.b1', '148.d1.b1', '222.b1.a1'], 'contains': ['888.b1.a1', '1332.d1.b1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3403, -1, 9630, -1, 1536, -1, 7980, -1], 'generators': [81, 1740, 3186], 'label': '5328.a.444.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '444.d1.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481392
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['1332.d1.a1', '1332.d1.b1', '1332.d1.c1', '1332.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '12.b1.a1', '148.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6446, 5033, 2590, 9385, 6873, 1474, 2600, 8614], 'generators': [12, 144, 2664, 4, 1332], 'label': '5328.a.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '1332.31', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481393
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '444.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.c1', '148.d1.c1', '222.b1.b1'], 'contains': ['888.b1.b1', '1332.d1.c1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3403, -1, 6379, -1, 1536, -1, 5167, -1], 'generators': [45, 876, 4266], 'label': '5328.a.444.d1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '444.d1.c1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.d1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481394
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '444.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.d1', '148.d1.d1', '222.b1.b1'], 'contains': ['888.b1.b1', '1332.d1.d1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3403, -1, 5156, -1, 1536, -1, 4902, -1], 'generators': [117, 2604, 2106], 'label': '5328.a.444.d1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '444.d1.d1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.d1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481395
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '592.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '296.a1.a1', '296.b1.a1', '296.b1.b1'], 'contains': ['1776.a1.a1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [532, -1, 9117, -1, 2168, -1, 6201, -1], 'generators': [4], 'label': '5328.a.592.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '592.a1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '592.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481396
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '666.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '222.a1.a1', '333.a1.a1'], 'contains': ['1332.a1.a1', '1332.b1.a1', '1332.c1.a1'], 'core': '1332.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [9456, -1, 833, -1, 7536, -1, 2020, -1], 'generators': [18, 1332], 'label': '5328.a.666.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '666.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '666.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481397
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '666.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.a1', '222.b1.a1', '333.a1.a1'], 'contains': ['1332.b1.a1', '1332.d1.a1', '1332.d1.b1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [8062, -1, 4689, -1, 4827, -1, 7283, -1], 'generators': [9, 2664], 'label': '5328.a.666.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '666.b1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '666.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481398
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '666.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.b1', '222.b1.b1', '333.a1.a1'], 'contains': ['1332.b1.a1', '1332.d1.c1', '1332.d1.d1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [8062, -1, 2006, -1, 4827, -1, 3580, -1], 'generators': [45, 2664], 'label': '5328.a.666.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '666.b1.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '666.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481399
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '888.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '296.a1.a1', '444.a1.a1', '444.b1.a1', '444.c1.a1'], 'contains': ['1776.a1.a1', '2664.a1.a1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [5006, -1, 3243, -1, 5486, -1, 3030, -1], 'generators': [2664, 12], 'label': '5328.a.888.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '888.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '888.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481400
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '888.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '296.b1.a1', '444.a1.a1', '444.d1.a1', '444.d1.b1'], 'contains': ['1776.a1.a1', '2664.b1.a1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3278, -1, 8886, -1, 2741, -1, 7980, -1], 'generators': [18, 12], 'label': '5328.a.888.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '888.b1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '888.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481401
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '888.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.b1', '296.b1.b1', '444.a1.a1', '444.d1.c1', '444.d1.d1'], 'contains': ['1776.a1.a1', '2664.b1.b1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3278, -1, 6131, -1, 2741, -1, 5504, -1], 'generators': [2682, 12], 'label': '5328.a.888.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '888.b1.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '888.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481402
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '1332.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['4.d1.a1', '4.d1.b1', '4.d1.c1', '4.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['36.b1.a1', '444.b1.a1', '666.a1.a1'], 'contains': ['2664.a1.a1'], 'core': '1332.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8956, 3336, 912, 7698, 7282, 2589, 2296, 7781], 'generators': [1332], 'label': '5328.a.1332.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '1332.a1.a1', 'normal_contained_in': ['36.b1.a1'], 'normal_contains': ['2664.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1332.a1.a1', 'projective_image': '1332.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '1332.31', 'quotient_action_kernel_order': 1332, 'quotient_fusion': None, 'short_label': '1332.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481403
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['1332.d1.a1', '1332.d1.b1', '1332.d1.c1', '1332.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '12.c1.a1', '148.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4678, 3455, 3533, 8137, 6032, 2831, 1461, 7717], 'generators': [12, 144, 2664, 4, 2646], 'label': '5328.a.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '2664.b', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481404
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '1332.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '444.a1.a1', '666.a1.a1', '666.b1.a1', '666.b1.b1'], 'contains': ['2664.a1.a1', '2664.b1.a1', '2664.b1.b1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [7767, -1, 2132, -1, 5836, -1, 4596, -1], 'generators': [18, 2664], 'label': '5328.a.1332.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '1332.b1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481405
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '1332.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1', '444.c1.a1', '666.a1.a1'], 'contains': ['2664.a1.a1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [9528, -1, 1400, -1, 6918, -1, 1852, -1], 'generators': [2646], 'label': '5328.a.1332.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '1332.c1.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481406
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '1332.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.a1', '444.d1.a1', '666.b1.a1'], 'contains': ['2664.b1.a1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [6551, -1, 5307, -1, 3173, -1, 8557, -1], 'generators': [9], 'label': '5328.a.1332.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '1332.d1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481407
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '1332.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.b1', '444.d1.b1', '666.b1.a1'], 'contains': ['2664.b1.a1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [6551, -1, 6405, -1, 3173, -1, 7457, -1], 'generators': [81], 'label': '5328.a.1332.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '1332.d1.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481408
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '1332.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.c1', '444.d1.c1', '666.b1.b1'], 'contains': ['2664.b1.b1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [6551, -1, 3524, -1, 3173, -1, 4343, -1], 'generators': [45], 'label': '5328.a.1332.d1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '1332.d1.c1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.d1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481409
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '1332.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.d1', '444.d1.d1', '666.b1.b1'], 'contains': ['2664.b1.b1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [6551, -1, 2498, -1, 3173, -1, 4046, -1], 'generators': [117], 'label': '5328.a.1332.d1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '1332.d1.d1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.d1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481410
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '1776.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '592.a1.a1', '888.a1.a1', '888.b1.a1', '888.b1.b1'], 'contains': ['5328.a1.a1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3278, -1, 7044, -1, 3500, -1, 5696, -1], 'generators': [12], 'label': '5328.a.1776.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '1776.a1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1776.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481411
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '2664.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '888.a1.a1', '1332.a1.a1', '1332.b1.a1', '1332.c1.a1'], 'contains': ['5328.a1.a1'], 'core': '2664.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8141, 3924, 1606, 6862, 6027, 3850, 2909, 6855], 'generators': [2664], 'label': '5328.a.2664.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '2664.a1.a1', 'normal_contained_in': ['72.a1.a1', '1332.a1.a1'], 'normal_contains': ['5328.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2664.a1.a1', 'projective_image': '2664.b', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2664.b', 'quotient_action_kernel_order': 2664, 'quotient_fusion': None, 'short_label': '2664.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481412
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '2664.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1.a1', '888.b1.a1', '1332.b1.a1', '1332.d1.a1', '1332.d1.b1'], 'contains': ['5328.a1.a1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [6117, -1, 5593, -1, 3827, -1, 7577, -1], 'generators': [18], 'label': '5328.a.2664.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '2664.b1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2664.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481413
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '2664.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1.b1', '888.b1.b1', '1332.b1.a1', '1332.d1.c1', '1332.d1.d1'], 'contains': ['5328.a1.a1'], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [6117, -1, 3251, -1, 3827, -1, 4707, -1], 'generators': [90], 'label': '5328.a.2664.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '2664.b1.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2664.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67481414
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1.a1', 'complements': ['1332.a1.a1', '1332.c1.a1', '1332.d1.c1', '1332.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '12.d1.a1', '148.d1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [598, 8574, 8511, 4217, 995, 9571, 9381, 2411], 'generators': [12, 144, 18, 4, 9], 'label': '5328.a.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['8.b1.a1', '12.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '5328.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
  • id: 67481415
    {'ambient': '5328.a', 'aut_centralizer_order': None, 'aut_label': '5328.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['144.a1.a1', '1776.a1.a1', '2664.a1.a1', '2664.b1.a1', '2664.b1.b1'], 'contains': [], 'core': '5328.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5941, 4163, 3957, 6599, 4009, 4144, 5059, 6162], 'generators': [], 'label': '5328.a.5328.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '5328.a1.a1', 'normal_contained_in': ['144.a1.a1', '2664.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '5328.a1.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5328.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}