Abstract group data - 688.11

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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': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 1806, 'aut_gen_orders': [2, 2, 2, 2, 42, 43], 'aut_gens': [[1, 4, 16], [3, 4, 672], [9, 4, 672], [1, 6, 672], [1, 12, 672], [1, 4, 304], [1, 20, 16]], 'aut_group': None, 'aut_hash': 8474444930880948112, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 28896, 'aut_permdeg': 176, 'aut_perms': [27128889567475651604662327093232838789281871325127412753330899329023042721120308114118065160207367861236141357000664528113419665649907480498466952235992362725471006134588974607087004937507415664776122377021285675638852281534433205082251991920540549858042415148040550146745279431535378525143077795945076407000142023014399, 27128889567475651604662327093232838789281871325127412753330899329023042721120308114118065160207367861235755736518301947691683988583984016857849459126402139135191992012143867755648002812461405525453638490710409504379070865188689549126002965530712641389484824318890870643173554008563963081293353236585076407000142023014399, 128910974894234308427651306559347911398855214824473016982196304542411954065991408080496402746105610983031922702651740264357781912018875010900806064455762957805181418608848701521480981961190952651728985984528262755866403284792855623802484250828731730703971594886386582914158786208192474169003728195254127599755380637087999, 71240959802234376401803730309862572846841903442545464127617826847312346122172561009668591398654296862544947714534598680482000248456276637904461677376274037771003848145735713373523582641700133177003257456561562566437663401047890782315896252572669569756130839881732409811778031777062781326467866617771458559999999560915199, 1291366252818580522729561285745224528223708838122299139142306787658829863910318129432589717958481674231240458905167623091176026750065661644989168353285832736298994886544338606867469006172439796310895625539963897546698797280551597232350005465301849830336948979741185039875553423419118958954748450289144356950889368334666, 1130912059186207298033210882956910521594832520922073524391825573436771141825201285694614441205532000334832685509683615393129011078125654905494186076619474768305993176574981985698316249013683453566685594048418135062767330529050295373825482931787062110831243123738318377990771373170010875241667059922123006691171518924313], 'aut_phi_ratio': 86.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 2, 2, 1], [4, 86, 2, 2], [43, 2, 21, 1], [86, 2, 21, 3], [172, 2, 84, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{43}.C_{42}.C_2^4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '16.14', 'autcent_hash': 14, 'autcent_nilpotent': True, 'autcent_order': 16, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 1806, 'autcentquo_group': '1806.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 1806, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{43}', 'cc_stats': [[1, 1, 1], [2, 1, 3], [4, 2, 2], [4, 86, 4], [43, 2, 21], [86, 2, 63], [172, 2, 84]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '172.3', 'commutator_count': 1, 'commutator_label': '86.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '43.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 11, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 2, 2, 1], [4, 86, 1, 2], [4, 86, 2, 1], [43, 2, 21, 1], [86, 2, 21, 3], [172, 2, 84, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6, 'exponent': 172, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 3, 7, 43], 'factors_of_order': [2, 43], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '172.3', 'hash': 11, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 86, 'inner_gen_orders': [2, 2, 43], 'inner_gens': [[1, 12, 16], [9, 4, 672], [1, 36, 16]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 172, 'inner_split': True, 'inner_tex': 'D_{86}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 170]], 'label': '688.11', 'linC_count': 336, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 46, 'linQ_degree_count': 10, 'linQ_dim': 46, 'linQ_dim_count': 4, 'linR_count': 273, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C86.D4', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 12, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 178, 'number_divisions': 13, 'number_normal_subgroups': 17, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 26, 'number_subgroups': 324, 'old_label': None, 'order': 688, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 3], [4, 348], [43, 42], [86, 126], [172, 168]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 42, 'outer_gen_orders': [2, 2, 42], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[3, 4, 672], [1, 6, 672], [1, 4, 304]], 'outer_group': '168.57', 'outer_hash': 57, 'outer_nilpotent': True, 'outer_order': 168, 'outer_permdeg': 16, 'outer_perms': [6227020800, 1307674368000, 40320873], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_{42}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 51, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [42, 2], [84, 3]], 'representations': {'PC': {'code': 28633738821244733818697, 'gens': [1, 3, 5], 'pres': [5, -2, -2, -2, -2, -43, 10, 182, 42, 4214]}, 'Perm': {'d': 51, 'gens': [608540606958448330534732865212259186619796639519319379392682367, 1577, 7, 11520, 31631174415630274704682073896489287217617234847999150758784990080]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{86}.D_4', 'transitive_degree': 688, '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: 140047351
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 11, 'group_order': 688, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 140047441
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 11, 'group_order': 688, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 8, 'size': 1}
  • id: 140047452
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 11, 'group_order': 688, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 10, 'size': 1}
  • id: 140047463
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 11, 'group_order': 688, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4], 'representative': 2, 'size': 1}
  • id: 140047474
    {'aut_label': '4A1', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 11, 'group_order': 688, 'label': '4A1', 'order': 4, 'powers': [4, 6, 6, 6], 'representative': 3, 'size': 2}
  • id: 140047485
    {'aut_label': '4A1', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 11, 'group_order': 688, 'label': '4A-1', 'order': 4, 'powers': [4, 5, 5, 5], 'representative': 1, 'size': 2}
  • id: 140047496
    {'aut_label': '4B', 'centralizer': '86.b1.a1', 'counter': 7, 'group_counter': 11, 'group_order': 688, 'label': '4B', 'order': 4, 'powers': [2, 7, 7, 7], 'representative': 22, 'size': 86}
  • id: 140047507
    {'aut_label': '4B', 'centralizer': '86.b1.a1', 'counter': 8, 'group_counter': 11, 'group_order': 688, 'label': '4C', 'order': 4, 'powers': [2, 8, 8, 8], 'representative': 684, 'size': 86}
  • id: 140047518
    {'aut_label': '4D1', 'centralizer': '86.c1.a1', 'counter': 9, 'group_counter': 11, 'group_order': 688, 'label': '4D1', 'order': 4, 'powers': [4, 10, 10, 10], 'representative': 15, 'size': 86}
  • id: 140047352
    {'aut_label': '4D1', 'centralizer': '86.c1.a1', 'counter': 10, 'group_counter': 11, 'group_order': 688, 'label': '4D-1', 'order': 4, 'powers': [4, 9, 9, 9], 'representative': 13, 'size': 86}
  • id: 140047363
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 11, 'group_counter': 11, 'group_order': 688, 'label': '43A1', 'order': 43, 'powers': [12, 13, 17, 1], 'representative': 32, 'size': 2}
  • id: 140047374
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 11, 'group_order': 688, 'label': '43A2', 'order': 43, 'powers': [14, 16, 24, 1], 'representative': 64, 'size': 2}
  • id: 140047385
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 11, 'group_order': 688, 'label': '43A3', 'order': 43, 'powers': [16, 19, 31, 1], 'representative': 96, 'size': 2}
  • id: 140047396
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 11, 'group_order': 688, 'label': '43A4', 'order': 43, 'powers': [18, 22, 25, 1], 'representative': 128, 'size': 2}
  • id: 140047407
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 11, 'group_order': 688, 'label': '43A5', 'order': 43, 'powers': [20, 25, 18, 1], 'representative': 160, 'size': 2}
  • id: 140047418
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 11, 'group_order': 688, 'label': '43A6', 'order': 43, 'powers': [22, 28, 11, 1], 'representative': 192, 'size': 2}
  • id: 140047429
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 11, 'group_order': 688, 'label': '43A7', 'order': 43, 'powers': [24, 31, 16, 1], 'representative': 224, 'size': 2}
  • id: 140047439
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 11, 'group_order': 688, 'label': '43A8', 'order': 43, 'powers': [26, 29, 23, 1], 'representative': 256, 'size': 2}
  • id: 140047440
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 11, 'group_order': 688, 'label': '43A9', 'order': 43, 'powers': [28, 26, 30, 1], 'representative': 288, 'size': 2}
  • id: 140047442
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 11, 'group_order': 688, 'label': '43A10', 'order': 43, 'powers': [30, 23, 26, 1], 'representative': 320, 'size': 2}
  • id: 140047443
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 11, 'group_order': 688, 'label': '43A11', 'order': 43, 'powers': [31, 20, 19, 1], 'representative': 352, 'size': 2}
  • id: 140047444
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 22, 'group_counter': 11, 'group_order': 688, 'label': '43A12', 'order': 43, 'powers': [29, 17, 12, 1], 'representative': 384, 'size': 2}
  • id: 140047445
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 11, 'group_order': 688, 'label': '43A13', 'order': 43, 'powers': [27, 14, 15, 1], 'representative': 416, 'size': 2}
  • id: 140047446
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 11, 'group_order': 688, 'label': '43A14', 'order': 43, 'powers': [25, 11, 22, 1], 'representative': 448, 'size': 2}
  • id: 140047447
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 11, 'group_order': 688, 'label': '43A15', 'order': 43, 'powers': [23, 12, 29, 1], 'representative': 480, 'size': 2}
  • id: 140047448
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 11, 'group_order': 688, 'label': '43A16', 'order': 43, 'powers': [21, 15, 27, 1], 'representative': 512, 'size': 2}
  • id: 140047449
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 11, 'group_order': 688, 'label': '43A17', 'order': 43, 'powers': [19, 18, 20, 1], 'representative': 544, 'size': 2}
  • id: 140047450
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 11, 'group_order': 688, 'label': '43A18', 'order': 43, 'powers': [17, 21, 13, 1], 'representative': 576, 'size': 2}
  • id: 140047451
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 11, 'group_order': 688, 'label': '43A19', 'order': 43, 'powers': [15, 24, 14, 1], 'representative': 608, 'size': 2}
  • id: 140047453
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 11, 'group_order': 688, 'label': '43A20', 'order': 43, 'powers': [13, 27, 21, 1], 'representative': 640, 'size': 2}
  • id: 140047454
    {'aut_label': '43A1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 11, 'group_order': 688, 'label': '43A21', 'order': 43, 'powers': [11, 30, 28, 1], 'representative': 672, 'size': 2}
  • id: 140047455
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 11, 'group_order': 688, 'label': '86A1', 'order': 86, 'powers': [11, 33, 35, 2], 'representative': 24, 'size': 2}
  • id: 140047456
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 33, 'group_counter': 11, 'group_order': 688, 'label': '86A3', 'order': 86, 'powers': [13, 36, 42, 2], 'representative': 56, 'size': 2}
  • id: 140047457
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 11, 'group_order': 688, 'label': '86A5', 'order': 86, 'powers': [15, 39, 49, 2], 'representative': 88, 'size': 2}
  • id: 140047458
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 11, 'group_order': 688, 'label': '86A7', 'order': 86, 'powers': [17, 42, 50, 2], 'representative': 120, 'size': 2}
  • id: 140047459
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 11, 'group_order': 688, 'label': '86A9', 'order': 86, 'powers': [19, 45, 43, 2], 'representative': 152, 'size': 2}
  • id: 140047460
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 11, 'group_order': 688, 'label': '86A11', 'order': 86, 'powers': [21, 48, 36, 2], 'representative': 184, 'size': 2}
  • id: 140047461
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 11, 'group_order': 688, 'label': '86A13', 'order': 86, 'powers': [23, 51, 34, 2], 'representative': 216, 'size': 2}
  • id: 140047462
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 11, 'group_order': 688, 'label': '86A15', 'order': 86, 'powers': [25, 52, 41, 2], 'representative': 248, 'size': 2}
  • id: 140047464
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 11, 'group_order': 688, 'label': '86A17', 'order': 86, 'powers': [27, 49, 48, 2], 'representative': 280, 'size': 2}
  • id: 140047465
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 11, 'group_order': 688, 'label': '86A19', 'order': 86, 'powers': [29, 46, 51, 2], 'representative': 312, 'size': 2}
  • id: 140047466
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 11, 'group_order': 688, 'label': '86A21', 'order': 86, 'powers': [31, 43, 44, 2], 'representative': 344, 'size': 2}
  • id: 140047467
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 11, 'group_order': 688, 'label': '86A23', 'order': 86, 'powers': [30, 40, 37, 2], 'representative': 328, 'size': 2}
  • id: 140047468
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 11, 'group_order': 688, 'label': '86A25', 'order': 86, 'powers': [28, 37, 33, 2], 'representative': 296, 'size': 2}
  • id: 140047469
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 11, 'group_order': 688, 'label': '86A27', 'order': 86, 'powers': [26, 34, 40, 2], 'representative': 264, 'size': 2}
  • id: 140047470
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 11, 'group_order': 688, 'label': '86A29', 'order': 86, 'powers': [24, 32, 47, 2], 'representative': 232, 'size': 2}
  • id: 140047471
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 11, 'group_order': 688, 'label': '86A31', 'order': 86, 'powers': [22, 35, 52, 2], 'representative': 200, 'size': 2}
  • id: 140047472
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 11, 'group_order': 688, 'label': '86A33', 'order': 86, 'powers': [20, 38, 45, 2], 'representative': 168, 'size': 2}
  • id: 140047473
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 11, 'group_order': 688, 'label': '86A35', 'order': 86, 'powers': [18, 41, 38, 2], 'representative': 136, 'size': 2}
  • id: 140047475
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 11, 'group_order': 688, 'label': '86A37', 'order': 86, 'powers': [16, 44, 32, 2], 'representative': 104, 'size': 2}
  • id: 140047476
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 11, 'group_order': 688, 'label': '86A39', 'order': 86, 'powers': [14, 47, 39, 2], 'representative': 72, 'size': 2}
  • id: 140047477
    {'aut_label': '86A1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 11, 'group_order': 688, 'label': '86A41', 'order': 86, 'powers': [12, 50, 46, 2], 'representative': 40, 'size': 2}
  • id: 140047478
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 11, 'group_order': 688, 'label': '86B1', 'order': 86, 'powers': [11, 54, 56, 3], 'representative': 26, 'size': 2}
  • id: 140047479
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 11, 'group_order': 688, 'label': '86B3', 'order': 86, 'powers': [13, 57, 63, 3], 'representative': 58, 'size': 2}
  • id: 140047480
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 11, 'group_order': 688, 'label': '86B5', 'order': 86, 'powers': [15, 60, 70, 3], 'representative': 90, 'size': 2}
  • id: 140047481
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 11, 'group_order': 688, 'label': '86B7', 'order': 86, 'powers': [17, 63, 71, 3], 'representative': 122, 'size': 2}
  • id: 140047482
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 11, 'group_order': 688, 'label': '86B9', 'order': 86, 'powers': [19, 66, 64, 3], 'representative': 154, 'size': 2}
  • id: 140047483
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 11, 'group_order': 688, 'label': '86B11', 'order': 86, 'powers': [21, 69, 57, 3], 'representative': 186, 'size': 2}
  • id: 140047484
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 11, 'group_order': 688, 'label': '86B13', 'order': 86, 'powers': [23, 72, 55, 3], 'representative': 218, 'size': 2}
  • id: 140047486
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 11, 'group_order': 688, 'label': '86B15', 'order': 86, 'powers': [25, 73, 62, 3], 'representative': 250, 'size': 2}
  • id: 140047487
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 11, 'group_order': 688, 'label': '86B17', 'order': 86, 'powers': [27, 70, 69, 3], 'representative': 282, 'size': 2}
  • id: 140047488
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 11, 'group_order': 688, 'label': '86B19', 'order': 86, 'powers': [29, 67, 72, 3], 'representative': 314, 'size': 2}
  • id: 140047489
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 11, 'group_order': 688, 'label': '86B21', 'order': 86, 'powers': [31, 64, 65, 3], 'representative': 346, 'size': 2}
  • id: 140047490
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 11, 'group_order': 688, 'label': '86B23', 'order': 86, 'powers': [30, 61, 58, 3], 'representative': 330, 'size': 2}
  • id: 140047491
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 11, 'group_order': 688, 'label': '86B25', 'order': 86, 'powers': [28, 58, 54, 3], 'representative': 298, 'size': 2}
  • id: 140047492
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 11, 'group_order': 688, 'label': '86B27', 'order': 86, 'powers': [26, 55, 61, 3], 'representative': 266, 'size': 2}
  • id: 140047493
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 11, 'group_order': 688, 'label': '86B29', 'order': 86, 'powers': [24, 53, 68, 3], 'representative': 234, 'size': 2}
  • id: 140047494
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 11, 'group_order': 688, 'label': '86B31', 'order': 86, 'powers': [22, 56, 73, 3], 'representative': 202, 'size': 2}
  • id: 140047495
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 11, 'group_order': 688, 'label': '86B33', 'order': 86, 'powers': [20, 59, 66, 3], 'representative': 170, 'size': 2}
  • id: 140047497
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 11, 'group_order': 688, 'label': '86B35', 'order': 86, 'powers': [18, 62, 59, 3], 'representative': 138, 'size': 2}
  • id: 140047498
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 11, 'group_order': 688, 'label': '86B37', 'order': 86, 'powers': [16, 65, 53, 3], 'representative': 106, 'size': 2}
  • id: 140047499
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 11, 'group_order': 688, 'label': '86B39', 'order': 86, 'powers': [14, 68, 60, 3], 'representative': 74, 'size': 2}
  • id: 140047500
    {'aut_label': '86B1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 11, 'group_order': 688, 'label': '86B41', 'order': 86, 'powers': [12, 71, 67, 3], 'representative': 42, 'size': 2}
  • id: 140047501
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 11, 'group_order': 688, 'label': '86C1', 'order': 86, 'powers': [12, 75, 77, 4], 'representative': 34, 'size': 2}
  • id: 140047502
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 11, 'group_order': 688, 'label': '86C3', 'order': 86, 'powers': [16, 78, 84, 4], 'representative': 98, 'size': 2}
  • id: 140047503
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 11, 'group_order': 688, 'label': '86C5', 'order': 86, 'powers': [20, 81, 91, 4], 'representative': 162, 'size': 2}
  • id: 140047504
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 11, 'group_order': 688, 'label': '86C7', 'order': 86, 'powers': [24, 84, 92, 4], 'representative': 226, 'size': 2}
  • id: 140047505
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 11, 'group_order': 688, 'label': '86C9', 'order': 86, 'powers': [28, 87, 85, 4], 'representative': 290, 'size': 2}
  • id: 140047506
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 11, 'group_order': 688, 'label': '86C11', 'order': 86, 'powers': [31, 90, 78, 4], 'representative': 354, 'size': 2}
  • id: 140047508
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 11, 'group_order': 688, 'label': '86C13', 'order': 86, 'powers': [27, 93, 76, 4], 'representative': 418, 'size': 2}
  • id: 140047509
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 11, 'group_order': 688, 'label': '86C15', 'order': 86, 'powers': [23, 94, 83, 4], 'representative': 482, 'size': 2}
  • id: 140047510
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 11, 'group_order': 688, 'label': '86C17', 'order': 86, 'powers': [19, 91, 90, 4], 'representative': 546, 'size': 2}
  • id: 140047511
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 11, 'group_order': 688, 'label': '86C19', 'order': 86, 'powers': [15, 88, 93, 4], 'representative': 610, 'size': 2}
  • id: 140047512
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 11, 'group_order': 688, 'label': '86C21', 'order': 86, 'powers': [11, 85, 86, 4], 'representative': 674, 'size': 2}
  • id: 140047513
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 11, 'group_order': 688, 'label': '86C23', 'order': 86, 'powers': [13, 82, 79, 4], 'representative': 50, 'size': 2}
  • id: 140047514
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 11, 'group_order': 688, 'label': '86C25', 'order': 86, 'powers': [17, 79, 75, 4], 'representative': 114, 'size': 2}
  • id: 140047515
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 11, 'group_order': 688, 'label': '86C27', 'order': 86, 'powers': [21, 76, 82, 4], 'representative': 178, 'size': 2}
  • id: 140047516
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 11, 'group_order': 688, 'label': '86C29', 'order': 86, 'powers': [25, 74, 89, 4], 'representative': 242, 'size': 2}
  • id: 140047517
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 11, 'group_order': 688, 'label': '86C31', 'order': 86, 'powers': [29, 77, 94, 4], 'representative': 306, 'size': 2}
  • id: 140047519
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 11, 'group_order': 688, 'label': '86C33', 'order': 86, 'powers': [30, 80, 87, 4], 'representative': 370, 'size': 2}
  • id: 140047520
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 11, 'group_order': 688, 'label': '86C35', 'order': 86, 'powers': [26, 83, 80, 4], 'representative': 434, 'size': 2}
  • id: 140047521
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 11, 'group_order': 688, 'label': '86C37', 'order': 86, 'powers': [22, 86, 74, 4], 'representative': 498, 'size': 2}
  • id: 140047522
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 11, 'group_order': 688, 'label': '86C39', 'order': 86, 'powers': [18, 89, 81, 4], 'representative': 562, 'size': 2}
  • id: 140047523
    {'aut_label': '86C1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 11, 'group_order': 688, 'label': '86C41', 'order': 86, 'powers': [14, 92, 88, 4], 'representative': 626, 'size': 2}
  • id: 140047524
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 11, 'group_order': 688, 'label': '172A1', 'order': 172, 'powers': [74, 97, 101, 5], 'representative': 17, 'size': 2}
  • id: 140047525
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 11, 'group_order': 688, 'label': '172A-1', 'order': 172, 'powers': [74, 98, 102, 6], 'representative': 675, 'size': 2}
  • id: 140047526
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 11, 'group_order': 688, 'label': '172A3', 'order': 172, 'powers': [75, 103, 115, 6], 'representative': 51, 'size': 2}
  • id: 140047527
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 11, 'group_order': 688, 'label': '172A-3', 'order': 172, 'powers': [75, 104, 116, 5], 'representative': 641, 'size': 2}
  • id: 140047528
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 11, 'group_order': 688, 'label': '172A5', 'order': 172, 'powers': [76, 109, 129, 5], 'representative': 81, 'size': 2}
  • id: 140047353
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 11, 'group_order': 688, 'label': '172A-5', 'order': 172, 'powers': [76, 110, 130, 6], 'representative': 611, 'size': 2}
  • id: 140047354
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 101, 'group_counter': 11, 'group_order': 688, 'label': '172A7', 'order': 172, 'powers': [77, 115, 141, 6], 'representative': 115, 'size': 2}
  • id: 140047355
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 102, 'group_counter': 11, 'group_order': 688, 'label': '172A-7', 'order': 172, 'powers': [77, 116, 142, 5], 'representative': 577, 'size': 2}
  • id: 140047356
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 11, 'group_order': 688, 'label': '172A9', 'order': 172, 'powers': [78, 121, 155, 5], 'representative': 145, 'size': 2}
  • id: 140047357
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 11, 'group_order': 688, 'label': '172A-9', 'order': 172, 'powers': [78, 122, 156, 6], 'representative': 547, 'size': 2}
  • id: 140047358
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 11, 'group_order': 688, 'label': '172A11', 'order': 172, 'powers': [79, 127, 169, 6], 'representative': 179, 'size': 2}
  • id: 140047359
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 11, 'group_order': 688, 'label': '172A-11', 'order': 172, 'powers': [79, 128, 170, 5], 'representative': 513, 'size': 2}
  • id: 140047360
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 11, 'group_order': 688, 'label': '172A13', 'order': 172, 'powers': [80, 133, 174, 5], 'representative': 209, 'size': 2}
  • id: 140047361
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 11, 'group_order': 688, 'label': '172A-13', 'order': 172, 'powers': [80, 134, 173, 6], 'representative': 483, 'size': 2}
  • id: 140047362
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 11, 'group_order': 688, 'label': '172A15', 'order': 172, 'powers': [81, 137, 160, 6], 'representative': 243, 'size': 2}
  • id: 140047364
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 11, 'group_order': 688, 'label': '172A-15', 'order': 172, 'powers': [81, 138, 159, 5], 'representative': 449, 'size': 2}
  • id: 140047365
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 11, 'group_order': 688, 'label': '172A17', 'order': 172, 'powers': [82, 143, 146, 5], 'representative': 273, 'size': 2}
  • id: 140047366
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 11, 'group_order': 688, 'label': '172A-17', 'order': 172, 'powers': [82, 144, 145, 6], 'representative': 419, 'size': 2}
  • id: 140047367
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 113, 'group_counter': 11, 'group_order': 688, 'label': '172A19', 'order': 172, 'powers': [83, 149, 134, 6], 'representative': 307, 'size': 2}
  • id: 140047368
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 114, 'group_counter': 11, 'group_order': 688, 'label': '172A-19', 'order': 172, 'powers': [83, 150, 133, 5], 'representative': 385, 'size': 2}
  • id: 140047369
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 115, 'group_counter': 11, 'group_order': 688, 'label': '172A21', 'order': 172, 'powers': [84, 155, 120, 5], 'representative': 337, 'size': 2}
  • id: 140047370
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 116, 'group_counter': 11, 'group_order': 688, 'label': '172A-21', 'order': 172, 'powers': [84, 156, 119, 6], 'representative': 355, 'size': 2}
  • id: 140047371
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 117, 'group_counter': 11, 'group_order': 688, 'label': '172A23', 'order': 172, 'powers': [85, 161, 106, 6], 'representative': 371, 'size': 2}
  • id: 140047372
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 118, 'group_counter': 11, 'group_order': 688, 'label': '172A-23', 'order': 172, 'powers': [85, 162, 105, 5], 'representative': 321, 'size': 2}
  • id: 140047373
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 119, 'group_counter': 11, 'group_order': 688, 'label': '172A25', 'order': 172, 'powers': [86, 167, 97, 5], 'representative': 401, 'size': 2}
  • id: 140047375
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 120, 'group_counter': 11, 'group_order': 688, 'label': '172A-25', 'order': 172, 'powers': [86, 168, 98, 6], 'representative': 291, 'size': 2}
  • id: 140047376
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 11, 'group_order': 688, 'label': '172A27', 'order': 172, 'powers': [87, 173, 111, 6], 'representative': 435, 'size': 2}
  • id: 140047377
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 11, 'group_order': 688, 'label': '172A-27', 'order': 172, 'powers': [87, 174, 112, 5], 'representative': 257, 'size': 2}
  • id: 140047378
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 11, 'group_order': 688, 'label': '172A29', 'order': 172, 'powers': [88, 178, 125, 5], 'representative': 465, 'size': 2}
  • id: 140047379
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 11, 'group_order': 688, 'label': '172A-29', 'order': 172, 'powers': [88, 177, 126, 6], 'representative': 227, 'size': 2}
  • id: 140047380
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 125, 'group_counter': 11, 'group_order': 688, 'label': '172A31', 'order': 172, 'powers': [89, 172, 137, 6], 'representative': 499, 'size': 2}
  • id: 140047381
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 126, 'group_counter': 11, 'group_order': 688, 'label': '172A-31', 'order': 172, 'powers': [89, 171, 138, 5], 'representative': 193, 'size': 2}
  • id: 140047382
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 127, 'group_counter': 11, 'group_order': 688, 'label': '172A33', 'order': 172, 'powers': [90, 166, 151, 5], 'representative': 529, 'size': 2}
  • id: 140047383
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 128, 'group_counter': 11, 'group_order': 688, 'label': '172A-33', 'order': 172, 'powers': [90, 165, 152, 6], 'representative': 163, 'size': 2}
  • id: 140047384
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 129, 'group_counter': 11, 'group_order': 688, 'label': '172A35', 'order': 172, 'powers': [91, 160, 165, 6], 'representative': 563, 'size': 2}
  • id: 140047386
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 130, 'group_counter': 11, 'group_order': 688, 'label': '172A-35', 'order': 172, 'powers': [91, 159, 166, 5], 'representative': 129, 'size': 2}
  • id: 140047387
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 131, 'group_counter': 11, 'group_order': 688, 'label': '172A37', 'order': 172, 'powers': [92, 154, 178, 5], 'representative': 593, 'size': 2}
  • id: 140047388
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 132, 'group_counter': 11, 'group_order': 688, 'label': '172A-37', 'order': 172, 'powers': [92, 153, 177, 6], 'representative': 99, 'size': 2}
  • id: 140047389
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 133, 'group_counter': 11, 'group_order': 688, 'label': '172A39', 'order': 172, 'powers': [93, 148, 164, 6], 'representative': 627, 'size': 2}
  • id: 140047390
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 134, 'group_counter': 11, 'group_order': 688, 'label': '172A-39', 'order': 172, 'powers': [93, 147, 163, 5], 'representative': 65, 'size': 2}
  • id: 140047391
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 135, 'group_counter': 11, 'group_order': 688, 'label': '172A41', 'order': 172, 'powers': [94, 142, 150, 5], 'representative': 657, 'size': 2}
  • id: 140047392
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 136, 'group_counter': 11, 'group_order': 688, 'label': '172A-41', 'order': 172, 'powers': [94, 141, 149, 6], 'representative': 35, 'size': 2}
  • id: 140047393
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 137, 'group_counter': 11, 'group_order': 688, 'label': '172A45', 'order': 172, 'powers': [94, 132, 124, 5], 'representative': 33, 'size': 2}
  • id: 140047394
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 138, 'group_counter': 11, 'group_order': 688, 'label': '172A-45', 'order': 172, 'powers': [94, 131, 123, 6], 'representative': 659, 'size': 2}
  • id: 140047395
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 139, 'group_counter': 11, 'group_order': 688, 'label': '172A47', 'order': 172, 'powers': [93, 126, 110, 6], 'representative': 67, 'size': 2}
  • id: 140047397
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 140, 'group_counter': 11, 'group_order': 688, 'label': '172A-47', 'order': 172, 'powers': [93, 125, 109, 5], 'representative': 625, 'size': 2}
  • id: 140047398
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 141, 'group_counter': 11, 'group_order': 688, 'label': '172A49', 'order': 172, 'powers': [92, 120, 96, 5], 'representative': 97, 'size': 2}
  • id: 140047399
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 142, 'group_counter': 11, 'group_order': 688, 'label': '172A-49', 'order': 172, 'powers': [92, 119, 95, 6], 'representative': 595, 'size': 2}
  • id: 140047400
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 143, 'group_counter': 11, 'group_order': 688, 'label': '172A51', 'order': 172, 'powers': [91, 114, 107, 6], 'representative': 131, 'size': 2}
  • id: 140047401
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 144, 'group_counter': 11, 'group_order': 688, 'label': '172A-51', 'order': 172, 'powers': [91, 113, 108, 5], 'representative': 561, 'size': 2}
  • id: 140047402
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 145, 'group_counter': 11, 'group_order': 688, 'label': '172A53', 'order': 172, 'powers': [90, 108, 121, 5], 'representative': 161, 'size': 2}
  • id: 140047403
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 146, 'group_counter': 11, 'group_order': 688, 'label': '172A-53', 'order': 172, 'powers': [90, 107, 122, 6], 'representative': 531, 'size': 2}
  • id: 140047404
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 147, 'group_counter': 11, 'group_order': 688, 'label': '172A55', 'order': 172, 'powers': [89, 102, 135, 6], 'representative': 195, 'size': 2}
  • id: 140047405
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 148, 'group_counter': 11, 'group_order': 688, 'label': '172A-55', 'order': 172, 'powers': [89, 101, 136, 5], 'representative': 497, 'size': 2}
  • id: 140047406
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 149, 'group_counter': 11, 'group_order': 688, 'label': '172A57', 'order': 172, 'powers': [88, 96, 147, 5], 'representative': 225, 'size': 2}
  • id: 140047408
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 150, 'group_counter': 11, 'group_order': 688, 'label': '172A-57', 'order': 172, 'powers': [88, 95, 148, 6], 'representative': 467, 'size': 2}
  • id: 140047409
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 151, 'group_counter': 11, 'group_order': 688, 'label': '172A59', 'order': 172, 'powers': [87, 99, 161, 6], 'representative': 259, 'size': 2}
  • id: 140047410
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 152, 'group_counter': 11, 'group_order': 688, 'label': '172A-59', 'order': 172, 'powers': [87, 100, 162, 5], 'representative': 433, 'size': 2}
  • id: 140047411
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 153, 'group_counter': 11, 'group_order': 688, 'label': '172A61', 'order': 172, 'powers': [86, 105, 175, 5], 'representative': 289, 'size': 2}
  • id: 140047412
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 154, 'group_counter': 11, 'group_order': 688, 'label': '172A-61', 'order': 172, 'powers': [86, 106, 176, 6], 'representative': 403, 'size': 2}
  • id: 140047413
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 155, 'group_counter': 11, 'group_order': 688, 'label': '172A63', 'order': 172, 'powers': [85, 111, 168, 6], 'representative': 323, 'size': 2}
  • id: 140047414
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 156, 'group_counter': 11, 'group_order': 688, 'label': '172A-63', 'order': 172, 'powers': [85, 112, 167, 5], 'representative': 369, 'size': 2}
  • id: 140047415
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 157, 'group_counter': 11, 'group_order': 688, 'label': '172A65', 'order': 172, 'powers': [84, 117, 154, 5], 'representative': 353, 'size': 2}
  • id: 140047416
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 158, 'group_counter': 11, 'group_order': 688, 'label': '172A-65', 'order': 172, 'powers': [84, 118, 153, 6], 'representative': 339, 'size': 2}
  • id: 140047417
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 159, 'group_counter': 11, 'group_order': 688, 'label': '172A67', 'order': 172, 'powers': [83, 123, 140, 6], 'representative': 387, 'size': 2}
  • id: 140047419
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 160, 'group_counter': 11, 'group_order': 688, 'label': '172A-67', 'order': 172, 'powers': [83, 124, 139, 5], 'representative': 305, 'size': 2}
  • id: 140047420
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 161, 'group_counter': 11, 'group_order': 688, 'label': '172A69', 'order': 172, 'powers': [82, 129, 128, 5], 'representative': 417, 'size': 2}
  • id: 140047421
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 162, 'group_counter': 11, 'group_order': 688, 'label': '172A-69', 'order': 172, 'powers': [82, 130, 127, 6], 'representative': 275, 'size': 2}
  • id: 140047422
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 163, 'group_counter': 11, 'group_order': 688, 'label': '172A71', 'order': 172, 'powers': [81, 135, 114, 6], 'representative': 451, 'size': 2}
  • id: 140047423
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 164, 'group_counter': 11, 'group_order': 688, 'label': '172A-71', 'order': 172, 'powers': [81, 136, 113, 5], 'representative': 241, 'size': 2}
  • id: 140047424
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 165, 'group_counter': 11, 'group_order': 688, 'label': '172A73', 'order': 172, 'powers': [80, 139, 100, 5], 'representative': 481, 'size': 2}
  • id: 140047425
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 166, 'group_counter': 11, 'group_order': 688, 'label': '172A-73', 'order': 172, 'powers': [80, 140, 99, 6], 'representative': 211, 'size': 2}
  • id: 140047426
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 167, 'group_counter': 11, 'group_order': 688, 'label': '172A75', 'order': 172, 'powers': [79, 145, 103, 6], 'representative': 515, 'size': 2}
  • id: 140047427
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 168, 'group_counter': 11, 'group_order': 688, 'label': '172A-75', 'order': 172, 'powers': [79, 146, 104, 5], 'representative': 177, 'size': 2}
  • id: 140047428
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 169, 'group_counter': 11, 'group_order': 688, 'label': '172A77', 'order': 172, 'powers': [78, 151, 117, 5], 'representative': 545, 'size': 2}
  • id: 140047430
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 170, 'group_counter': 11, 'group_order': 688, 'label': '172A-77', 'order': 172, 'powers': [78, 152, 118, 6], 'representative': 147, 'size': 2}
  • id: 140047431
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 171, 'group_counter': 11, 'group_order': 688, 'label': '172A79', 'order': 172, 'powers': [77, 157, 131, 6], 'representative': 579, 'size': 2}
  • id: 140047432
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 172, 'group_counter': 11, 'group_order': 688, 'label': '172A-79', 'order': 172, 'powers': [77, 158, 132, 5], 'representative': 113, 'size': 2}
  • id: 140047433
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 173, 'group_counter': 11, 'group_order': 688, 'label': '172A81', 'order': 172, 'powers': [76, 163, 143, 5], 'representative': 609, 'size': 2}
  • id: 140047434
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 174, 'group_counter': 11, 'group_order': 688, 'label': '172A-81', 'order': 172, 'powers': [76, 164, 144, 6], 'representative': 83, 'size': 2}
  • id: 140047435
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 175, 'group_counter': 11, 'group_order': 688, 'label': '172A83', 'order': 172, 'powers': [75, 169, 157, 6], 'representative': 643, 'size': 2}
  • id: 140047436
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 176, 'group_counter': 11, 'group_order': 688, 'label': '172A-83', 'order': 172, 'powers': [75, 170, 158, 5], 'representative': 49, 'size': 2}
  • id: 140047437
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 177, 'group_counter': 11, 'group_order': 688, 'label': '172A85', 'order': 172, 'powers': [74, 175, 171, 5], 'representative': 673, 'size': 2}
  • id: 140047438
    {'aut_label': '172A1', 'centralizer': '2.a1.a1', 'counter': 178, 'group_counter': 11, 'group_order': 688, 'label': '172A-85', 'order': 172, 'powers': [74, 176, 172, 6], 'representative': 19, 'size': 2}
• 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: 12838575
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.1a', '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, 1, 1, 1, 1, 1, 1, 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: 12838580
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.1b', '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, -1, -1, -1, -1, -1, -1, -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: 12838581
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.1c', '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, -1, -1, -1, -1, -1, -1, -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: 12838582
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.1d', '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, 1, 1, 1, 1, 1, 1, 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: 12838583
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, 0, -2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12838584
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, 0, 2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12838585
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12838586
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.2b', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 12838587
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.2c', 'multiplicity': 21, 'nt': [43, 2], 'qdim': 42, 'qvalues': [42, 42, 42, 42, 42, 42, 0, 0, 0, 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], 'schur_index': 1}
  • id: 12838576
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.2d', 'multiplicity': 21, 'nt': [86, 0], 'qdim': 42, 'qvalues': [42, 42, 42, 42, -42, -42, 0, 0, 0, 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], 'schur_index': 1}
  • id: 12838577
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.2e', 'multiplicity': 42, 'nt': [172, 0], 'qdim': 84, 'qvalues': [84, -84, 84, -84, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12838578
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.2f', 'multiplicity': 42, 'nt': [172, 0], 'qdim': 84, 'qvalues': [84, 84, -84, -84, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12838579
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '688.11', 'group_order': 688, 'image': None, 'label': '688.11.2g', 'multiplicity': 42, 'nt': [344, 0], 'qdim': 84, 'qvalues': [84, -84, -84, 84, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
• 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: 29742654
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 688, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 688, 'label': '688.11.1a', '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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 29742744
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 688, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 344, 'label': '688.11.1b', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 29742755
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 688, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 344, 'label': '688.11.1c', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 29742766
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  • id: 29742777
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  • id: 29742788
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  • id: 29742799
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  • id: 29742810
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  • id: 29742821
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  • id: 29742655
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  • id: 29742666
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  • id: 29742745
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  • id: 29742746
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 21, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c11', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 20], [1, -20]]]}
  • id: 29742747
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  • id: 29742748
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 23, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c13', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 11], [1, -11]]]}
  • id: 29742749
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 24, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c14', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 5], [1, -5]]]}
  • id: 29742750
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 25, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c15', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 21], [1, -21]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 20], [1, -20]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 1], [1, -1]]]}
  • id: 29742751
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  • id: 29742752
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 27, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c17', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 13], [1, -13]]]}
  • id: 29742753
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  • id: 29742754
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 29, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c19', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 18], [1, -18]]]}
  • id: 29742677
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 12, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c2', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]]]}
  • id: 29742756
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 30, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c20', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 11], [1, -11]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 21], [1, -21]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 12], [1, -12]]]}
  • id: 29742757
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 31, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c21', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 6], [1, -6]]]}
  • id: 29742688
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 13, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c3', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 21], [1, -21]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 15], [1, -15]]]}
  • id: 29742699
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 14, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c4', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 21], [1, -21]]]}
  • id: 29742710
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 15, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c5', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 16], [1, -16]]]}
  • id: 29742721
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 16, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c6', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 21], [1, -21]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 10], [1, -10]]]}
  • id: 29742732
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 17, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c7', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 21], [1, -21]], [[1, 2], [1, -2]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 21], [1, -21]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 21], [1, -21]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 4], [1, -4]]]}
  • id: 29742742
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 18, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c8', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]]]}
  • id: 29742743
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 19, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '86.1', 'image_order': 86, 'indicator': 1, 'kernel': '86.a1.a1', 'kernel_order': 8, 'label': '688.11.2c9', 'nt': [43, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 21], [1, -21]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 8], [1, -8]]]}
  • id: 29742758
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 32, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d1', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 21], [1, -21]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 18], [-1, -18]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 20], [-1, -20]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, -21]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 15], [-1, -15]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 20], [-1, -20]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]]]}
  • id: 29742768
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 41, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d10', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 17], [-1, -17]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, -21]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 12], [-1, -12]], [[-1, 18], [-1, -18]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]]]}
  • id: 29742769
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 42, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d11', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 18], [-1, -18]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, -21]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, -21]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[-1, 20], [-1, -20]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 10], [-1, -10]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 20], [-1, -20]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 20], [-1, -20]]]}
  • id: 29742770
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 43, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d12', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 13], [-1, -13]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 18], [-1, -18]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 20], [-1, -20]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 19], [-1, -19]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, -17]]]}
  • id: 29742771
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  • id: 29742772
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 45, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d14', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 20], [-1, -20]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, -17]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, -15]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 18], [-1, -18]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 12], [-1, -12]], [[-1, 11], [-1, -11]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 19], [-1, -19]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]]]}
  • id: 29742773
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  • id: 29742774
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 47, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d16', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[-1, 18], [-1, -18]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 14], [-1, -14]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 16], [-1, -16]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 18], [-1, -18]], [[-1, 21], [-1, -21]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, -21]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 20], [-1, -20]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 19], [-1, -19]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]]]}
  • id: 29742775
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  • id: 29742776
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 49, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d18', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 2], [-1, -2]], [[-1, 19], [-1, -19]], [[-1, 12], [-1, -12]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]], [[-1, 21], [-1, -21]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 21], [-1, -21]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]]]}
  • id: 29742778
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  • id: 29742759
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 33, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d2', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[-1, 17], [-1, -17]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 18], [-1, -18]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[-1, 18], [-1, -18]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 17], [-1, -17]], [[-1, 16], [-1, -16]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[-1, 20], [-1, -20]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 19], [-1, -19]], [[-1, 17], [-1, -17]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]]]}
  • id: 29742779
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  • id: 29742780
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 52, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d21', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 19], [1, -19]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 17], [-1, -17]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 21], [-1, -21]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, -21]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 18], [-1, -18]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 20], [-1, -20]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 16], [-1, -16]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]]]}
  • id: 29742760
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  • id: 29742761
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 35, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d4', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, -21]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 20], [-1, -20]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, -21]], [[-1, 19], [-1, -19]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 20], [-1, -20]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[-1, 17], [-1, -17]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 21], [-1, -21]]]}
  • id: 29742762
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  • id: 29742763
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 37, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d6', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 21], [1, -21]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 20], [-1, -20]], [[-1, 17], [-1, -17]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 20], [-1, -20]], [[-1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 21], [-1, -21]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]]]}
  • id: 29742764
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 38, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d7', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 21], [1, -21]], [[1, 2], [1, -2]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 16], [-1, -16]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 21], [-1, -21]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, -17]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]]]}
  • id: 29742765
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 39, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d8', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 20], [-1, -20]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 18], [-1, -18]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]]]}
  • id: 29742767
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 40, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [-1, 11, 55, -220, -495, 1287, 1716, -3432, -3003, 5005, 3003, -4368, -1820, 2380, 680, -816, -153, 171, 19, -20, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '172.3', 'image_order': 172, 'indicator': 1, 'kernel': '172.a1.a1', 'kernel_order': 4, 'label': '688.11.2d9', 'nt': [86, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 21], [1, -21]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 21], [-1, -21]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 17], [-1, -17]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, -20]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 19], [-1, -19]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[-1, 18], [-1, -18]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 20], [-1, -20]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[-1, 8], [-1, -8]]]}
  • id: 29742781
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 53, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e1', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[-1, 34], [-1, -34]], [[1, 32], 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  • id: 29742791
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 62, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e10', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 42], [-1, -42]], [[1, 36], [1, -36]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 22], [-1, -22]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[-1, 26], [-1, -26]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 38], [-1, -38]], 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  • id: 29742792
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  • id: 29742793
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 64, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e12', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[-1, 42], [-1, -42]], [[-1, 26], [-1, -26]], [[1, 24], [1, -24]], [[1, 40], [1, -40]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[-1, 30], [-1, -30]], [[1, 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  • id: 29742794
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 65, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e13', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 26], [-1, -26]], [[1, 32], [1, -32]], [[-1, 34], [-1, -34]], [[1, 24], [1, -24]], [[-1, 42], [-1, -42]], [[1, 16], [1, -16]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 14], 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  • id: 29742795
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 66, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e14', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 26], [-1, -26]], [[1, 32], [1, -32]], [[-1, 34], [-1, -34]], [[1, 24], [1, -24]], [[-1, 42], [-1, -42]], [[1, 16], [1, -16]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 14], 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  • id: 29742796
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 67, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e15', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[1, 16], [1, -16]], [[-1, 26], [-1, -26]], [[1, 12], [1, -12]], [[-1, 22], [-1, -22]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 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  • id: 29742797
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 68, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e16', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[1, 16], [1, -16]], [[-1, 26], [-1, -26]], [[1, 12], [1, -12]], [[-1, 22], [-1, -22]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 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  • id: 29742798
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 69, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e17', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 34], [-1, -34]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[-1, 38], [-1, -38]], [[-1, 2], [-1, -2]], [[1, 32], [1, -32]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 30], [-1, -30]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[1, 24], [1, -24]], [[1, 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  • id: 29742800
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  • id: 29742801
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 71, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e19', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 38], [-1, -38]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, -30]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 42], [-1, -42]], 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  • id: 29742782
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 54, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e2', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[-1, 34], [-1, -34]], [[1, 32], 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  • id: 29742802
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 72, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e20', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 38], [-1, -38]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, -30]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 42], [-1, -42]], 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  • id: 29742803
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 73, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e21', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 42], [-1, -42]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 34], [-1, -34]], [[-1, 38], [-1, -38]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[1, 32], [1, -32]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[-1, 26], [-1, -26]], [[1, 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  • id: 29742804
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 74, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e22', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 42], [-1, -42]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 34], [-1, -34]], [[-1, 38], [-1, -38]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[1, 32], [1, -32]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[-1, 26], [-1, -26]], [[1, 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  • id: 29742805
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 75, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e23', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 40], [1, -40]], [[1, 36], [1, -36]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 28], [1, -28]], [[-1, 18], [-1, -18]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[1, 8], [1, -8]], [[-1, 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  • id: 29742806
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 76, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e24', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 40], [1, -40]], [[1, 36], [1, -36]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 28], [1, -28]], [[-1, 18], [-1, -18]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[1, 8], [1, -8]], [[-1, 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  • id: 29742807
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 77, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e25', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 36], [1, -36]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 20], [1, -20]], [[1, 8], [1, -8]], [[-1, 42], [-1, -42]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[-1, 34], [-1, -34]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 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  • id: 29742808
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 78, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e26', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 36], [1, -36]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 20], [1, -20]], [[1, 8], [1, -8]], [[-1, 42], [-1, -42]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[-1, 34], [-1, -34]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], 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  • id: 29742809
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 79, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e27', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 32], [1, -32]], [[1, 40], [1, -40]], [[-1, 22], [-1, -22]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 28], [1, -28]], [[1, 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  • id: 29742811
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 80, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e28', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 32], [1, -32]], [[1, 40], [1, -40]], [[-1, 22], [-1, -22]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 28], [1, -28]], [[1, 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  • id: 29742812
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 81, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e29', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 28], [1, -28]], [[1, 8], [1, -8]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[1, 32], [1, -32]], [[1, 4], [1, -4]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[1, 36], [1, -36]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 40], [1, -40]], [[-1, 18], 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  • id: 29742783
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 55, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e3', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[1, 32], [1, -32]], [[-1, 30], [-1, -30]], [[1, 36], [1, -36]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 20], [1, -20]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 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  • id: 29742813
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 82, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e30', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 28], [1, -28]], [[1, 8], [1, -8]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[1, 32], [1, -32]], [[1, 4], [1, -4]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[1, 36], [1, -36]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 40], [1, -40]], [[-1, 18], 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  • id: 29742814
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 83, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e31', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-1, 38], [-1, -38]], [[-1, 42], [-1, -42]], [[-1, 34], [-1, -34]], [[1, 28], [1, -28]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[-1, 22], [-1, -22]], [[1, 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  • id: 29742815
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 84, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e32', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-1, 38], [-1, -38]], [[-1, 42], [-1, -42]], [[-1, 34], [-1, -34]], [[1, 28], [1, -28]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[-1, 22], [-1, -22]], [[1, 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  • id: 29742816
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 85, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e33', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 20], [1, -20]], [[-1, 18], [-1, -18]], [[1, 40], [1, -40]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 34], [-1, -34]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[-1, 38], [-1, -38]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[1, 4], [1, -4]], [[1, 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  • id: 29742817
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 86, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e34', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 20], [1, -20]], [[-1, 18], [-1, -18]], [[1, 40], [1, -40]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 34], [-1, -34]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[-1, 38], [-1, -38]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[1, 4], [1, -4]], [[1, 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  • id: 29742818
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 87, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e35', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 32], [1, -32]], [[1, 28], [1, -28]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 4], [1, -4]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[-1, 14], [-1, -14]], [[-1, 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  • id: 29742819
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 88, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e36', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 32], [1, -32]], [[1, 28], [1, -28]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 4], [1, -4]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[-1, 14], [-1, -14]], [[-1, 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  • id: 29742820
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 89, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e37', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 28], [1, -28]], [[1, 24], [1, -24]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[1, 40], [1, -40]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 32], [1, -32]], [[1, 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  • id: 29742822
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 90, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e38', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 28], [1, -28]], [[1, 24], [1, -24]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[1, 40], [1, -40]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 32], [1, -32]], [[1, 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  • id: 29742823
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 91, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e39', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[1, 40], [1, -40]], [[-1, 38], [-1, -38]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[1, 36], [1, -36]], [[-1, 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  • id: 29742784
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 56, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e4', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[1, 32], [1, -32]], [[-1, 30], [-1, -30]], [[1, 36], [1, -36]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 20], [1, -20]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 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  • id: 29742824
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 92, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e40', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[1, 40], [1, -40]], [[-1, 38], [-1, -38]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[1, 36], [1, -36]], [[-1, 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  • id: 29742825
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 93, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e41', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 38], [-1, -38]], [[1, 8], [1, -8]], [[1, 36], [1, -36]], [[1, 20], [1, -20]], [[1, 24], [1, -24]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 42], [-1, -42]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 22], 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  • id: 29742826
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 94, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e42', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 38], [-1, -38]], [[1, 8], [1, -8]], [[1, 36], [1, -36]], [[1, 20], [1, -20]], [[1, 24], [1, -24]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 42], [-1, -42]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 22], 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  • id: 29742785
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 57, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e5', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 34], [-1, -34]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 36], [1, -36]], [[-1, 26], [-1, -26]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[-1, 2], [-1, -2]], [[1, 12], 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  • id: 29742786
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 58, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e6', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 34], [-1, -34]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 36], [1, -36]], [[-1, 26], [-1, -26]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[-1, 2], [-1, -2]], [[1, 12], 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  • id: 29742787
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 59, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e7', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[1, 40], [1, -40]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 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  • id: 29742789
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 60, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e8', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 43]], [[-2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[1, 40], [1, -40]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 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  • id: 29742790
    {'center': '86.a1.a1', 'center_index': 86, 'center_order': 8, 'counter': 61, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [1, 0, 231, 0, 8855, 0, 134596, 0, 1081575, 0, 5311735, 0, 17383860, 0, 40116600, 0, 67863915, 0, 86493225, 0, 84672315, 0, 64512240, 0, 38567100, 0, 18156204, 0, 6724520, 0, 1947792, 0, 435897, 0, 73815, 0, 9139, 0, 780, 0, 41, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.4', 'image_order': 344, 'indicator': 0, 'kernel': '344.a1.a1', 'kernel_order': 2, 'label': '688.11.2e9', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 43]], [[2, 43]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 42], [-1, -42]], [[1, 36], [1, -36]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 22], [-1, -22]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[-1, 26], [-1, -26]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 38], [-1, -38]], [[-1, 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  • id: 29742827
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 95, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f1', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 21], [-1, -21]], [[1, 20], [1, -20]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[1, 9], [1, -9]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 16], [-1, -16]], [[-1, 11], [-1, -11]], [[-1, 21], [-1, -21]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 15], [-1, -15]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[1, 11], [1, -11]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 17], [-1, -17]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 20], [-1, -20]], [[1, 18], [1, -18]], [[-1, 17], [-1, -17]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[-1, 5], [-1, -5]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 17], [1, -17]], [[-1, 20], [1, -20]], [[1, 12], [-1, -12]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 6], [1, -6]], [[1, 18], [-1, -18]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 12], [1, -12]], [[-1, 19], [1, -19]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[-1, 18], [1, -18]], [[-1, 13], [1, -13]], [[-1, 16], [1, -16]], [[1, 16], [-1, -16]], [[1, 19], [-1, -19]], [[-1, 7], [1, -7]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 13], [-1, -13]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 7], [-1, -7]], [[1, 5], [-1, -5]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 11], [-1, -11]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 5], [1, -5]], [[1, 17], [-1, -17]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 11], [1, -11]], [[1, 3], [-1, -3]], [[1, 20], [-1, -20]], [[1, 6], [-1, -6]], [[1, 3], [-1, -3]], [[-1, 17], [1, -17]], [[-1, 20], [1, -20]], [[1, 9], [-1, -9]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 3], [1, -3]], [[1, 15], [-1, -15]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[-1, 9], [1, -9]], [[1, 21], [-1, -21]], [[1, 18], [-1, -18]], [[-1, 18], [1, -18]], [[-1, 15], [1, -15]], [[-1, 16], [1, -16]], [[-1, 19], [1, -19]], [[1, 19], [-1, -19]], [[-1, 21], [1, -21]], [[-1, 10], [1, -10]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[1, 16], [-1, -16]], [[-1, 4], [1, -4]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 10], [-1, -10]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[1, 8], [-1, -8]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 2], [1, -2]], [[1, 14], [-1, -14]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 8], [1, -8]], [[1, 20], [-1, -20]], [[1, 17], [-1, -17]], [[-1, 17], [1, -17]], [[-1, 14], [1, -14]], [[-1, 3], [1, -3]]]}
  • id: 29742660
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 104, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f10', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[-1, 17], [-1, -17]], [[1, 8], [1, -8]], [[-1, 9], [-1, -9]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[-1, 14], [-1, -14]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 17], [-1, -17]], [[-1, 21], [-1, -21]], [[-1, 20], [-1, -20]], [[-1, 5], [-1, -5]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[1, 21], [1, -21]], [[-1, 11], [-1, -11]], [[1, 14], [1, -14]], [[-1, 19], [-1, -19]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 19], [-1, -19]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 11], [1, -11]], [[-1, 10], [-1, -10]], [[1, 19], [1, -19]], [[1, 8], [-1, -8]], [[1, 21], [-1, -21]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 11], [-1, -11]], [[1, 10], [-1, -10]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 21], [1, -21]], [[-1, 1], [1, -1]], [[-1, 17], [1, -17]], [[1, 17], [-1, -17]], [[-1, 10], [1, -10]], [[-1, 12], [1, -12]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[1, 1], [-1, -1]], [[1, 20], [-1, -20]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 12], [-1, -12]], [[1, 9], [-1, -9]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 20], [1, -20]], [[-1, 2], [1, -2]], [[-1, 18], [1, -18]], [[1, 18], [-1, -18]], [[-1, 9], [1, -9]], [[-1, 13], [1, -13]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 2], [-1, -2]], [[1, 19], [-1, -19]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 13], [-1, -13]], [[1, 16], [-1, -16]], [[-1, 8], [1, -8]], [[-1, 11], [1, -11]], [[1, 16], [-1, -16]], [[-1, 19], [1, -19]], [[1, 8], [-1, -8]], [[1, 5], [-1, -5]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[-1, 16], [1, -16]], [[-1, 6], [1, -6]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[-1, 5], [1, -5]], [[-1, 17], [1, -17]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 6], [-1, -6]], [[1, 15], [-1, -15]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 17], [-1, -17]], [[1, 4], [-1, -4]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 15], [1, -15]], [[-1, 7], [1, -7]], [[1, 20], [-1, -20]], [[-1, 20], [1, -20]], [[-1, 4], [1, -4]], [[-1, 18], [1, -18]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 7], [-1, -7]], [[1, 14], [-1, -14]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 18], [-1, -18]], [[1, 3], [-1, -3]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 14], [1, -14]], [[-1, 8], [1, -8]], [[1, 19], [-1, -19]], [[-1, 19], [1, -19]], [[-1, 3], [1, -3]], [[-1, 16], [1, -16]]]}
  • id: 29742661
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 105, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f11', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[-1, 21], [-1, -21]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 19], [-1, -19]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, -14]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[1, 13], [1, -13]], [[-1, 6], [-1, -6]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 21], [-1, -21]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 17], [-1, -17]], [[-1, 7], [-1, -7]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[1, 3], [1, -3]], [[-1, 20], [-1, -20]], [[1, 2], [1, -2]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 5], [-1, -5]], [[1, 17], [1, -17]], [[-1, 15], [-1, -15]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 20], [1, -20]], [[-1, 17], [-1, -17]], [[1, 15], [1, -15]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 20], [-1, -20]], [[-1, 17], [1, -17]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 3], [1, -3]], [[1, 6], [-1, -6]], [[1, 16], [-1, -16]], [[-1, 16], [1, -16]], [[1, 17], [-1, -17]], [[-1, 14], [1, -14]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 6], [1, -6]], [[1, 9], [-1, -9]], [[1, 19], [-1, -19]], [[-1, 19], [1, -19]], [[1, 14], [-1, -14]], [[-1, 11], [1, -11]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 9], [1, -9]], [[1, 12], [-1, -12]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[1, 11], [-1, -11]], [[-1, 8], [1, -8]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 12], [1, -12]], [[1, 15], [-1, -15]], [[-1, 18], [1, -18]], [[1, 18], [-1, -18]], [[1, 8], [-1, -8]], [[-1, 10], [1, -10]], [[1, 5], [-1, -5]], [[-1, 20], [1, -20]], [[-1, 10], [1, -10]], [[-1, 15], [1, -15]], [[-1, 5], [1, -5]], [[1, 13], [-1, -13]], [[-1, 20], [1, -20]], [[1, 20], [-1, -20]], [[1, 10], [-1, -10]], [[-1, 7], [1, -7]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 13], [1, -13]], [[1, 16], [-1, -16]], [[-1, 17], [1, -17]], [[1, 17], [-1, -17]], [[1, 7], [-1, -7]], [[-1, 4], [1, -4]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 16], [1, -16]], [[1, 19], [-1, -19]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 19], [1, -19]], [[-1, 21], [1, -21]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[1, 21], [-1, -21]], [[-1, 18], [1, -18]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[1, 18], [-1, -18]], [[1, 10], [-1, -10]]]}
  • id: 29742662
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  • id: 29742663
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  • id: 29742664
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  • id: 29742665
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 109, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f15', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[-1, 21], [-1, -21]], [[-1, 18], [-1, -18]], [[-1, 20], [-1, -20]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 17], [-1, -17]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 18], [-1, -18]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 19], [-1, -19]], [[-1, 6], [-1, -6]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 20], [-1, -20]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[-1, 21], [-1, -21]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[1, 12], [1, -12]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 8], [1, -8]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 4], [-1, -4]], [[-1, 12], [1, -12]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 8], [-1, -8]], [[-1, 16], [1, -16]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 12], [-1, -12]], [[-1, 20], [1, -20]], [[-1, 18], [1, -18]], [[1, 18], [-1, -18]], [[1, 16], [-1, -16]], [[1, 19], [-1, -19]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[1, 20], [-1, -20]], [[1, 15], [-1, -15]], [[1, 17], [-1, -17]], [[-1, 17], [1, -17]], [[-1, 19], [1, -19]], [[1, 11], [-1, -11]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[-1, 15], [1, -15]], [[1, 7], [-1, -7]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 11], [1, -11]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 7], [1, -7]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 6], [1, -6]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[-1, 10], [1, -10]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 6], [-1, -6]], [[-1, 14], [1, -14]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[1, 10], [-1, -10]], [[-1, 18], [1, -18]], [[-1, 16], [1, -16]], [[1, 16], [-1, -16]], [[1, 14], [-1, -14]], [[1, 21], [-1, -21]], [[-1, 20], [1, -20]], [[1, 20], [-1, -20]], [[1, 18], [-1, -18]], [[1, 17], [-1, -17]], [[1, 19], [-1, -19]], [[-1, 19], [1, -19]], [[-1, 21], [1, -21]], [[1, 13], [-1, -13]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 17], [1, -17]], [[1, 9], [-1, -9]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 13], [1, -13]], [[1, 5], [-1, -5]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 9], [1, -9]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]]]}
  • id: 29742667
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  • id: 29742668
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 111, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f17', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 21], [1, -21]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[-1, 9], [-1, -9]], [[1, 8], [1, -8]], [[-1, 13], [-1, -13]], [[1, 4], [1, -4]], [[-1, 17], [-1, -17]], [[-1, 8], [-1, -8]], [[-1, 21], [-1, -21]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[1, 19], [1, -19]], [[-1, 21], [-1, -21]], [[-1, 19], [-1, -19]], [[-1, 18], [-1, -18]], [[-1, 11], [-1, -11]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[-1, 14], [-1, -14]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[-1, 20], [-1, -20]], [[1, 11], [1, -11]], [[-1, 16], [-1, -16]], [[1, 7], [1, -7]], [[-1, 12], [-1, -12]], [[1, 3], [1, -3]], [[-1, 8], [-1, -8]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 12], [-1, -12]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[-1, 1], [-1, -1]], [[1, 16], [1, -16]], [[-1, 5], [-1, -5]], [[1, 12], [1, -12]], [[-1, 4], [1, -4]], [[1, 11], [-1, -11]], [[1, 19], [-1, -19]], [[-1, 19], [1, -19]], [[1, 16], [-1, -16]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 11], [1, -11]], [[-1, 21], [1, -21]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[1, 5], [-1, -5]], [[1, 6], [-1, -6]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 21], [-1, -21]], [[-1, 10], [1, -10]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 6], [1, -6]], [[1, 17], [-1, -17]], [[-1, 18], [1, -18]], [[1, 18], [-1, -18]], [[1, 10], [-1, -10]], [[1, 1], [-1, -1]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 17], [1, -17]], [[-1, 15], [1, -15]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 1], [1, -1]], [[1, 12], [-1, -12]], [[1, 20], [-1, -20]], [[-1, 20], [1, -20]], [[1, 15], [-1, -15]], [[-1, 8], [1, -8]], [[1, 4], [-1, -4]], [[-1, 16], [1, -16]], [[-1, 8], [1, -8]], [[-1, 12], [1, -12]], [[-1, 4], [1, -4]], [[1, 19], [-1, -19]], [[-1, 16], [1, -16]], [[1, 16], [-1, -16]], [[1, 8], [-1, -8]], [[1, 3], [-1, -3]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 19], [1, -19]], [[-1, 13], [1, -13]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[1, 14], [-1, -14]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[1, 13], [-1, -13]], [[-1, 2], [1, -2]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 14], [1, -14]], [[-1, 18], [1, -18]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 2], [-1, -2]], [[1, 9], [-1, -9]], [[1, 17], [-1, -17]], [[-1, 17], [1, -17]], [[1, 18], [-1, -18]], [[-1, 7], [1, -7]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 9], [1, -9]], [[1, 20], [-1, -20]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[1, 7], [-1, -7]], [[1, 4], [-1, -4]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[-1, 20], [1, -20]], [[1, 8], [-1, -8]]]}
  • id: 29742669
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  • id: 29742670
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  • id: 29742828
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  • id: 29742671
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 114, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f20', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[-1, 5], [-1, -5]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 7], [1, -7]], [[-1, 19], [-1, -19]], [[-1, 14], [-1, -14]], [[-1, 17], [-1, -17]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 1], [1, -1]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 20], [-1, -20]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 18], [-1, -18]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 13], [1, -13]], [[-1, 15], [-1, -15]], [[1, 20], [1, -20]], [[-1, 21], [-1, -21]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 2], [1, -2]], [[-1, 21], [-1, -21]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[-1, 2], [-1, -2]], [[1, 21], [1, -21]], [[1, 7], [-1, -7]], [[1, 13], [-1, -13]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 15], [-1, -15]], [[-1, 2], [1, -2]], [[-1, 16], [1, -16]], [[1, 16], [-1, -16]], [[-1, 13], [1, -13]], [[-1, 17], [1, -17]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[1, 2], [-1, -2]], [[1, 11], [-1, -11]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 17], [-1, -17]], [[-1, 4], [1, -4]], [[-1, 18], [1, -18]], [[1, 18], [-1, -18]], [[-1, 11], [1, -11]], [[-1, 19], [1, -19]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 4], [-1, -4]], [[1, 9], [-1, -9]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 19], [-1, -19]], [[-1, 6], [1, -6]], [[-1, 20], [1, -20]], [[1, 20], [-1, -20]], [[-1, 9], [1, -9]], [[-1, 21], [1, -21]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 6], [-1, -6]], [[1, 14], [-1, -14]], [[-1, 7], [1, -7]], [[-1, 15], [1, -15]], [[1, 14], [-1, -14]], [[1, 21], [-1, -21]], [[1, 7], [-1, -7]], [[-1, 1], [1, -1]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[-1, 14], [1, -14]], [[-1, 16], [1, -16]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 1], [-1, -1]], [[1, 12], [-1, -12]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 16], [-1, -16]], [[-1, 3], [1, -3]], [[-1, 17], [1, -17]], [[1, 17], [-1, -17]], [[-1, 12], [1, -12]], [[-1, 18], [1, -18]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[1, 3], [-1, -3]], [[1, 10], [-1, -10]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 18], [-1, -18]], [[-1, 5], [1, -5]], [[-1, 19], [1, -19]], [[1, 19], [-1, -19]], [[-1, 10], [1, -10]], [[-1, 20], [1, -20]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 5], [-1, -5]], [[1, 8], [-1, -8]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 20], [-1, -20]], [[-1, 7], [1, -7]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[-1, 8], [1, -8]], [[-1, 14], [1, -14]]]}
  • id: 29742672
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  • id: 29742673
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  • id: 29742674
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  • id: 29742675
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  • id: 29742676
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  • id: 29742678
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  • id: 29742679
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  • id: 29742680
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  • id: 29742681
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  • id: 29742829
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 97, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f3', 'nt': [172, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 20], [-1, -20]], [[1, 17], [1, -17]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 17], [-1, -17]], [[-1, 12], [-1, -12]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 21], [-1, -21]], [[-1, 19], [-1, -19]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 19], [-1, -19]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 18], [-1, -18]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 18], [-1, -18]], [[1, 19], [1, -19]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[1, 18], [1, -18]], [[-1, 11], [-1, -11]], [[1, 8], [1, -8]], [[-1, 17], [1, -17]], [[-1, 7], [1, -7]], [[-1, 16], [1, -16]], [[1, 16], [-1, -16]], [[-1, 18], [1, -18]], [[1, 11], [-1, -11]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 7], [-1, -7]], [[-1, 14], [1, -14]], [[1, 20], [-1, -20]], [[-1, 20], [1, -20]], [[-1, 11], [1, -11]], [[1, 4], [-1, -4]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 14], [-1, -14]], [[-1, 21], [1, -21]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[1, 21], [-1, -21]], [[1, 15], [-1, -15]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[1, 3], [-1, -3]], [[-1, 10], [1, -10]], [[-1, 19], [1, -19]], [[1, 19], [-1, -19]], [[-1, 15], [1, -15]], [[1, 8], [-1, -8]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 10], [-1, -10]], [[1, 9], [-1, -9]], [[1, 17], [-1, -17]], [[1, 18], [-1, -18]], [[1, 9], [-1, -9]], [[-1, 8], [1, -8]], [[-1, 17], [1, -17]], [[-1, 16], [1, -16]], [[1, 18], [-1, -18]], [[-1, 18], [1, -18]], [[-1, 9], [1, -9]], [[1, 2], [-1, -2]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 16], [-1, -16]], [[1, 20], [-1, -20]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 2], [1, -2]], [[-1, 5], [1, -5]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 20], [1, -20]], [[1, 13], [-1, -13]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 5], [-1, -5]], [[-1, 12], [1, -12]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[-1, 13], [1, -13]], [[1, 6], [-1, -6]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 12], [-1, -12]], [[-1, 19], [1, -19]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 6], [1, -6]], [[-1, 1], [1, -1]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 19], [-1, -19]], [[1, 17], [-1, -17]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 1], [-1, -1]], [[-1, 9], [1, -9]]]}
  • id: 29742682
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  • id: 29742683
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  • id: 29742684
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  • id: 29742685
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  • id: 29742686
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  • id: 29742687
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  • id: 29742689
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  • id: 29742690
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  • id: 29742691
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  • id: 29742692
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  • id: 29742830
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  • id: 29742693
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 134, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f40', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 16], [-1, -16]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 17], [-1, -17]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 19], [-1, -19]], [[1, 11], [1, -11]], [[-1, 18], [-1, -18]], [[1, 17], [1, -17]], [[-1, 12], [-1, -12]], [[1, 20], [1, -20]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[-1, 20], [-1, -20]], [[1, 19], [1, -19]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[1, 6], [-1, -6]], [[1, 5], [-1, -5]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 19], [-1, -19]], [[-1, 14], [1, -14]], [[1, 17], [-1, -17]], [[-1, 17], [1, -17]], [[-1, 5], [1, -5]], [[1, 10], [-1, -10]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 14], [-1, -14]], [[-1, 9], [1, -9]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[-1, 10], [1, -10]], [[1, 15], [-1, -15]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 9], [-1, -9]], [[-1, 4], [1, -4]], [[-1, 16], [1, -16]], [[1, 16], [-1, -16]], [[-1, 15], [1, -15]], [[1, 20], [-1, -20]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[-1, 20], [1, -20]], [[-1, 18], [1, -18]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[-1, 1], [1, -1]], [[1, 12], [-1, -12]], [[-1, 6], [1, -6]], [[-1, 19], [1, -19]], [[1, 12], [-1, -12]], [[1, 18], [-1, -18]], [[1, 6], [-1, -6]], [[-1, 7], [1, -7]], [[-1, 19], [1, -19]], [[1, 19], [-1, -19]], [[-1, 12], [1, -12]], [[1, 17], [-1, -17]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 7], [-1, -7]], [[-1, 2], [1, -2]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 17], [1, -17]], [[-1, 21], [1, -21]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 21], [-1, -21]], [[-1, 16], [1, -16]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 3], [1, -3]], [[1, 8], [-1, -8]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 16], [-1, -16]], [[-1, 11], [1, -11]], [[1, 20], [-1, -20]], [[-1, 20], [1, -20]], [[-1, 8], [1, -8]], [[1, 13], [-1, -13]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 11], [-1, -11]], [[-1, 6], [1, -6]], [[-1, 18], [1, -18]], [[1, 18], [-1, -18]], [[-1, 13], [1, -13]], [[-1, 12], [1, -12]]]}
  • id: 29742694
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  • id: 29742695
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 136, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f42', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 20], [-1, -20]], [[-1, 11], [-1, -11]], [[-1, 17], [-1, -17]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 5], [-1, -5]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[-1, 19], [-1, -19]], [[-1, 2], [-1, -2]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[-1, 19], [-1, -19]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[1, 21], [1, -21]], [[-1, 15], [-1, -15]], [[1, 19], [1, -19]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 9], [-1, -9]], [[1, 13], [1, -13]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 3], [-1, -3]], [[-1, 19], [1, -19]], [[1, 18], [-1, -18]], [[-1, 18], [1, -18]], [[-1, 12], [1, -12]], [[-1, 7], [1, -7]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[1, 19], [-1, -19]], [[1, 5], [-1, -5]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 7], [-1, -7]], [[1, 17], [-1, -17]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 5], [1, -5]], [[-1, 14], [1, -14]], [[-1, 20], [1, -20]], [[1, 20], [-1, -20]], [[-1, 17], [1, -17]], [[-1, 2], [1, -2]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 14], [-1, -14]], [[1, 10], [-1, -10]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 2], [-1, -2]], [[-1, 21], [1, -21]], [[1, 16], [-1, -16]], [[-1, 16], [1, -16]], [[-1, 10], [1, -10]], [[-1, 9], [1, -9]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[1, 21], [-1, -21]], [[1, 6], [-1, -6]], [[-1, 3], [1, -3]], [[1, 12], [-1, -12]], [[1, 6], [-1, -6]], [[1, 9], [-1, -9]], [[1, 3], [-1, -3]], [[1, 18], [-1, -18]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[-1, 6], [1, -6]], [[-1, 13], [1, -13]], [[-1, 19], [1, -19]], [[1, 19], [-1, -19]], [[-1, 18], [1, -18]], [[-1, 1], [1, -1]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 13], [-1, -13]], [[1, 11], [-1, -11]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 1], [-1, -1]], [[-1, 20], [1, -20]], [[1, 17], [-1, -17]], [[-1, 17], [1, -17]], [[-1, 11], [1, -11]], [[-1, 8], [1, -8]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 20], [-1, -20]], [[1, 4], [-1, -4]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 8], [-1, -8]], [[1, 16], [-1, -16]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[-1, 4], [1, -4]], [[-1, 15], [1, -15]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[-1, 16], [1, -16]], [[-1, 3], [1, -3]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 15], [-1, -15]], [[-1, 6], [1, -6]]]}
  • id: 29742831
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  • id: 29742656
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 100, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f6', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 15], [1, -15]], [[-1, 19], [-1, -19]], [[1, 14], [1, -14]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 20], [-1, -20]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 21], [-1, -21]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 20], [-1, -20]], [[-1, 17], [-1, -17]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 19], [-1, -19]], [[-1, 17], [-1, -17]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, -21]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 18], [-1, -18]], [[-1, 11], [-1, -11]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[1, 17], [1, -17]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[1, 13], [1, -13]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 14], [-1, -14]], [[-1, 17], [1, -17]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 13], [1, -13]], [[-1, 4], [1, -4]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[1, 17], [-1, -17]], [[1, 9], [-1, -9]], [[-1, 19], [1, -19]], [[1, 19], [-1, -19]], [[1, 4], [-1, -4]], [[-1, 21], [1, -21]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 9], [1, -9]], [[-1, 8], [1, -8]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 21], [-1, -21]], [[1, 5], [-1, -5]], [[1, 20], [-1, -20]], [[-1, 20], [1, -20]], [[1, 8], [-1, -8]], [[1, 18], [-1, -18]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[-1, 5], [1, -5]], [[-1, 12], [1, -12]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 18], [1, -18]], [[1, 1], [-1, -1]], [[1, 16], [-1, -16]], [[-1, 16], [1, -16]], [[1, 12], [-1, -12]], [[-1, 15], [1, -15]], [[-1, 14], [1, -14]], [[1, 13], [-1, -13]], [[-1, 15], [1, -15]], [[-1, 1], [1, -1]], [[1, 14], [-1, -14]], [[-1, 2], [1, -2]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 15], [-1, -15]], [[1, 11], [-1, -11]], [[-1, 17], [1, -17]], [[1, 17], [-1, -17]], [[1, 2], [-1, -2]], [[-1, 19], [1, -19]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 11], [1, -11]], [[-1, 6], [1, -6]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 19], [-1, -19]], [[1, 7], [-1, -7]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[1, 6], [-1, -6]], [[1, 20], [-1, -20]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 7], [1, -7]], [[-1, 10], [1, -10]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 20], [1, -20]], [[1, 3], [-1, -3]], [[1, 18], [-1, -18]], [[-1, 18], [1, -18]], [[1, 10], [-1, -10]], [[1, 16], [-1, -16]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 3], [1, -3]], [[-1, 14], [1, -14]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 16], [1, -16]], [[1, 15], [-1, -15]]]}
  • id: 29742657
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  • id: 29742658
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 102, 'cyclotomic_n': 43, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.7', 'image_order': 344, 'indicator': 0, 'kernel': '344.c1.a1', 'kernel_order': 2, 'label': '688.11.2f8', 'nt': [172, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 21], [1, -21]], [[-1, 18], [-1, -18]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 13], [-1, -13]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 19], [-1, -19]], [[1, 9], [1, -9]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[-1, 10], [-1, -10]], [[1, 19], [1, -19]], [[-1, 21], [-1, -21]], [[1, 8], [1, -8]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 10], [1, -10]], [[1, 11], [-1, -11]], [[1, 2], [-1, -2]], [[-1, 20], [1, -20]], [[1, 20], [-1, -20]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 19], [1, -19]], [[1, 19], [-1, -19]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[-1, 18], [1, -18]], [[1, 18], [-1, -18]], [[-1, 3], [1, -3]], [[1, 5], [-1, -5]], [[-1, 17], [1, -17]], [[1, 17], [-1, -17]], [[-1, 4], [1, -4]], [[1, 6], [-1, -6]], [[-1, 16], [1, -16]], [[1, 16], [-1, -16]], [[-1, 5], [1, -5]], [[1, 7], [-1, -7]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[-1, 6], [1, -6]], [[1, 8], [-1, -8]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 7], [1, -7]], [[1, 9], [-1, -9]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 8], [1, -8]], [[1, 10], [-1, -10]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 9], [1, -9]], [[-1, 21], [1, -21]], [[-1, 11], [1, -11]], [[1, 1], [-1, -1]], [[-1, 21], [1, -21]], [[-1, 10], [1, -10]], [[1, 11], [-1, -11]], [[-1, 20], [1, -20]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 21], [-1, -21]], [[-1, 19], [1, -19]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 20], [-1, -20]], [[-1, 18], [1, -18]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 19], [-1, -19]], [[-1, 17], [1, -17]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 18], [-1, -18]], [[-1, 16], [1, -16]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 17], [-1, -17]], [[-1, 15], [1, -15]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[1, 16], [-1, -16]], [[-1, 14], [1, -14]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 15], [-1, -15]], [[-1, 13], [1, -13]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 14], [-1, -14]], [[-1, 12], [1, -12]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 13], [-1, -13]], [[-1, 11], [1, -11]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 12], [-1, -12]], [[1, 21], [-1, -21]]]}
  • id: 29742659
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  • id: 29742696
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 137, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g1', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[-1, 34], [-1, -34]], [[1, 32], [1, -32]], [[-1, 26], [-1, -26]], [[-1, 38], [-1, -38]], [[1, 20], [1, -20]], [[-1, 42], [-1, -42]], [[-1, 14], [-1, -14]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[-1, 30], [-1, -30]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 40], [-1, -40]], [[1, 22], [1, -22]], [[1, 34], [1, -34]], [[-1, 28], [-1, -28]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[1, 16], [1, -16]], [[1, 38], [1, -38]], [[1, 4], [1, -4]], [[-1, 42], [-1, -42]], [[-1, 22], [-1, -22]], [[1, 42], [1, -42]], [[-1, 2], [-1, -2]], [[-1, 38], [-1, -38]], [[1, 28], [1, -28]], [[-1, 36], [-1, -36]], [[1, 8], [1, -8]], [[1, 32], [1, -32]], [[-1, 34], [-1, -34]], [[1, 30], [1, -30]], [[-1, 14], [-1, -14]], [[-1, 26], [-1, -26]], [[1, 40], [1, -40]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[1, 26], [1, -26]], [[1, 42], [1, -42]], [[-1, 30], [-1, -30]], [[1, 38], [1, -38]], [[1, 24], [1, -24]], [[-1, 32], [-1, -32]], [[-1, 18], [-1, -18]], [[1, 26], [1, -26]], [[1, 12], [1, -12]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 8], [-1, -8]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[1, 34], [1, -34]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 16], [-1, -16]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 37], [-1, -37]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 19], [-1, -19]], [[1, 29], [1, -29]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[-1, 33], [-1, -33]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[-1, 29], [-1, -29]], [[-1, 9], [-1, -9]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[1, 33], [1, -33]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 39], [-1, -39]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[1, 15], [1, -15]], [[1, 23], [1, -23]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[1, 39], [1, -39]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 23], [-1, -23]], [[1, 25], [1, -25]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[1, 31], [1, -31]], [[-1, 37], [-1, -37]], [[1, 19], [1, -19]], [[-1, 31], [-1, -31]], [[-1, 25], [-1, -25]], [[1, 37], [1, -37]], [[1, 7], [1, -7]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 31], [-1, -31]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 41], [1, -41]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[-1, 17], [-1, -17]], [[-1, 21], [-1, -21]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 41], [-1, -41]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 21], [1, -21]], [[-1, 27], [-1, -27]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[1, 35], [1, -35]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 27], [1, -27]], [[1, 11], [1, -11]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[-1, 35], [-1, -35]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[1, 37], [1, -37]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 13], [-1, -13]], [[1, 31], [1, -31]]]}
  • id: 29742706
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 146, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g10', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 42], [-1, -42]], [[1, 36], [1, -36]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 22], [-1, -22]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[-1, 26], [-1, -26]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 38], [-1, -38]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 34], [-1, -34]], [[1, 40], [1, -40]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[1, 22], [1, -22]], [[-1, 4], [-1, -4]], [[-1, 32], [-1, -32]], [[-1, 28], [-1, -28]], [[-1, 16], [-1, -16]], [[1, 26], [1, -26]], [[1, 38], [1, -38]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 28], [1, -28]], [[1, 2], [1, -2]], [[1, 36], [1, -36]], [[-1, 34], [-1, -34]], [[-1, 26], [-1, -26]], [[1, 34], [1, -34]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, -30]], [[-1, 38], [-1, -38]], [[-1, 12], [-1, -12]], [[1, 40], [1, -40]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[1, 42], [1, -42]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 34], [1, -34]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[-1, 42], [-1, -42]], [[1, 30], [1, -30]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[-1, 8], [-1, -8]], [[1, 32], [1, -32]], [[-1, 40], [-1, -40]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 38], [1, -38]], [[-1, 36], [-1, -36]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[-1, 28], [-1, -28]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 42], [1, -42]], [[-1, 40], [-1, -40]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 41], [1, -41]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 41], [-1, -41]], [[-1, 39], [-1, -39]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 39], [1, -39]], [[1, 37], [1, -37]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 37], [-1, -37]], [[-1, 35], [-1, -35]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 35], [1, -35]], [[1, 33], [1, -33]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[1, 9], [1, -9]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, -21]], [[-1, 33], [-1, -33]], [[-1, 11], [-1, -11]], [[1, 23], [1, -23]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, -21]], [[-1, 19], [-1, -19]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[-1, 23], [-1, -23]], [[-1, 25], [-1, -25]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 25], [1, -25]], [[1, 27], [1, -27]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[-1, 27], [-1, -27]], [[-1, 29], [-1, -29]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[1, 29], [1, -29]], [[1, 31], [1, -31]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[-1, 31], [-1, -31]], [[1, 21], [1, -21]]]}
  • id: 29742707
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 147, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g11', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[-1, 42], [-1, -42]], [[-1, 26], [-1, -26]], [[1, 24], [1, -24]], [[1, 40], [1, -40]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[-1, 30], [-1, -30]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[1, 12], [1, -12]], [[-1, 38], [-1, -38]], [[1, 32], [1, -32]], [[-1, 18], [-1, -18]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 40], [-1, -40]], [[1, 22], [1, -22]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[-1, 40], [-1, -40]], [[-1, 24], [-1, -24]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 30], [1, -30]], [[-1, 36], [-1, -36]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 42], [-1, -42]], [[1, 32], [1, -32]], [[1, 16], [1, -16]], [[-1, 32], [-1, -32]], [[-1, 22], [-1, -22]], [[1, 12], [1, -12]], [[1, 36], [1, -36]], [[1, 34], [1, -34]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 30], [-1, -30]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 28], [1, -28]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 38], [-1, -38]], [[-1, 28], [-1, -28]], [[-1, 32], [-1, -32]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 26], [-1, -26]], [[-1, 28], [-1, -28]], [[1, 40], [1, -40]], [[1, 38], [1, -38]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 26], [1, -26]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 30], [1, -30]], [[1, 42], [1, -42]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 26], [1, -26]], [[-1, 23], [-1, -23]], [[1, 31], [1, -31]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 37], [1, -37]], [[-1, 25], [-1, -25]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 31], [-1, -31]], [[1, 19], [1, -19]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 25], [1, -25]], [[-1, 13], [-1, -13]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 19], [-1, -19]], [[1, 7], [1, -7]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[-1, 5], [-1, -5]], [[1, 17], [1, -17]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[-1, 23], [-1, -23]], [[-1, 37], [-1, -37]], [[1, 3], [1, -3]], [[-1, 17], [-1, -17]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 9], [-1, -9]], [[1, 21], [1, -21]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 15], [1, -15]], [[-1, 27], [-1, -27]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 21], [-1, -21]], [[1, 33], [1, -33]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 27], [1, -27]], [[-1, 39], [-1, -39]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 33], [-1, -33]], [[-1, 41], [-1, -41]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 39], [1, -39]], [[1, 35], [1, -35]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 41], [1, -41]], [[-1, 29], [-1, -29]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 35], [-1, -35]], [[1, 23], [1, -23]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 29], [1, -29]], [[-1, 3], [-1, -3]]]}
  • id: 29742708
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 148, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g12', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[-1, 42], [-1, -42]], [[-1, 26], [-1, -26]], [[1, 24], [1, -24]], [[1, 40], [1, -40]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[-1, 30], [-1, -30]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[1, 12], [1, -12]], [[-1, 38], [-1, -38]], [[1, 32], [1, -32]], [[-1, 18], [-1, -18]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 40], [-1, -40]], [[1, 22], [1, -22]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[-1, 40], [-1, -40]], [[-1, 24], [-1, -24]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 30], [1, -30]], [[-1, 36], [-1, -36]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 42], [-1, -42]], [[1, 32], [1, -32]], [[1, 16], [1, -16]], [[-1, 32], [-1, -32]], [[-1, 22], [-1, -22]], [[1, 12], [1, -12]], [[1, 36], [1, -36]], [[1, 34], [1, -34]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 30], [-1, -30]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 28], [1, -28]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 38], [-1, -38]], [[-1, 28], [-1, -28]], [[-1, 32], [-1, -32]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 26], [-1, -26]], [[-1, 28], [-1, -28]], [[1, 40], [1, -40]], [[1, 38], [1, -38]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 26], [1, -26]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 30], [1, -30]], [[1, 42], [1, -42]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 26], [1, -26]], [[1, 23], [1, -23]], [[-1, 31], [-1, -31]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 37], [-1, -37]], [[1, 25], [1, -25]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 31], [1, -31]], [[-1, 19], [-1, -19]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, -25]], [[1, 13], [1, -13]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 19], [1, -19]], [[-1, 7], [-1, -7]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[1, 5], [1, -5]], [[-1, 17], [-1, -17]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[1, 37], [1, -37]], [[-1, 3], [-1, -3]], [[1, 17], [1, -17]], [[-1, 23], [-1, -23]], [[-1, 9], [-1, -9]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 9], [1, -9]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 15], [-1, -15]], [[1, 27], [1, -27]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 21], [1, -21]], [[-1, 33], [-1, -33]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 27], [-1, -27]], [[1, 39], [1, -39]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 33], [1, -33]], [[1, 41], [1, -41]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 39], [-1, -39]], [[-1, 35], [-1, -35]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 41], [-1, -41]], [[1, 29], [1, -29]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 35], [1, -35]], [[-1, 23], [-1, -23]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 29], [-1, -29]], [[1, 3], [1, -3]]]}
  • id: 29742709
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 149, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g13', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 26], [-1, -26]], [[1, 32], [1, -32]], [[-1, 34], [-1, -34]], [[1, 24], [1, -24]], [[-1, 42], [-1, -42]], [[1, 16], [1, -16]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 30], [-1, -30]], [[-1, 10], [-1, -10]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 40], [1, -40]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[1, 26], [1, -26]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[-1, 16], [-1, -16]], [[1, 42], [1, -42]], [[-1, 8], [-1, -8]], [[-1, 36], [-1, -36]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 36], [1, -36]], [[1, 22], [1, -22]], [[-1, 34], [-1, -34]], [[-1, 30], [-1, -30]], [[1, 28], [1, -28]], [[1, 30], [1, -30]], [[-1, 26], [-1, -26]], [[-1, 22], [-1, -22]], [[1, 20], [1, -20]], [[1, 38], [1, -38]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 40], [-1, -40]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 32], [-1, -32]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 40], [1, -40]], [[1, 22], [1, -22]], [[1, 32], [1, -32]], [[1, 14], [1, -14]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 24], [-1, -24]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[-1, 12], [-1, -12]], [[1, 34], [1, -34]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[-1, 36], [-1, -36]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[-1, 32], [-1, -32]], [[1, 10], [1, -10]], [[-1, 24], [-1, -24]], [[-1, 35], [-1, -35]], [[-1, 21], [-1, -21]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 33], [1, -33]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 33], [-1, -33]], [[1, 31], [1, -31]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[-1, 31], [-1, -31]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 23], [1, -23]], [[-1, 41], [-1, -41]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 41], [1, -41]], [[1, 19], [1, -19]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[-1, 27], [-1, -27]], [[-1, 35], [-1, -35]], [[-1, 11], [-1, -11]], [[1, 27], [1, -27]], [[-1, 19], [-1, -19]], [[1, 35], [1, -35]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 27], [1, -27]], [[-1, 37], [-1, -37]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 37], [1, -37]], [[1, 15], [1, -15]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 17], [-1, -17]], [[-1, 39], [-1, -39]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[1, 39], [1, -39]], [[-1, 25], [-1, -25]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 29], [1, -29]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[1, 25], [1, -25]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 29], [-1, -29]], [[1, 35], [1, -35]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 3], [-1, -3]], [[-1, 27], [-1, -27]]]}
  • id: 29742711
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 150, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g14', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 26], [-1, -26]], [[1, 32], [1, -32]], [[-1, 34], [-1, -34]], [[1, 24], [1, -24]], [[-1, 42], [-1, -42]], [[1, 16], [1, -16]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 30], [-1, -30]], [[-1, 10], [-1, -10]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 40], [1, -40]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[1, 26], [1, -26]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[-1, 16], [-1, -16]], [[1, 42], [1, -42]], [[-1, 8], [-1, -8]], [[-1, 36], [-1, -36]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 36], [1, -36]], [[1, 22], [1, -22]], [[-1, 34], [-1, -34]], [[-1, 30], [-1, -30]], [[1, 28], [1, -28]], [[1, 30], [1, -30]], [[-1, 26], [-1, -26]], [[-1, 22], [-1, -22]], [[1, 20], [1, -20]], [[1, 38], [1, -38]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 40], [-1, -40]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 32], [-1, -32]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 40], [1, -40]], [[1, 22], [1, -22]], [[1, 32], [1, -32]], [[1, 14], [1, -14]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 24], [-1, -24]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[-1, 12], [-1, -12]], [[1, 34], [1, -34]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[-1, 36], [-1, -36]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[-1, 32], [-1, -32]], [[1, 10], [1, -10]], [[-1, 24], [-1, -24]], [[1, 35], [1, -35]], [[1, 21], [1, -21]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 33], [-1, -33]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 33], [1, -33]], [[-1, 31], [-1, -31]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[1, 31], [1, -31]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 23], [-1, -23]], [[1, 41], [1, -41]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 41], [-1, -41]], [[-1, 19], [-1, -19]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[1, 27], [1, -27]], [[1, 35], [1, -35]], [[1, 11], [1, -11]], [[-1, 27], [-1, -27]], [[1, 19], [1, -19]], [[-1, 35], [-1, -35]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 27], [-1, -27]], [[1, 37], [1, -37]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 37], [-1, -37]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 17], [1, -17]], [[1, 39], [1, -39]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[-1, 39], [-1, -39]], [[1, 25], [1, -25]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 29], [-1, -29]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[-1, 25], [-1, -25]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 29], [1, -29]], [[-1, 35], [-1, -35]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 3], [1, -3]], [[1, 27], [1, -27]]]}
  • id: 29742712
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 151, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g15', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[1, 16], [1, -16]], [[-1, 26], [-1, -26]], [[1, 12], [1, -12]], [[-1, 22], [-1, -22]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 36], [1, -36]], [[1, 40], [1, -40]], [[1, 32], [1, -32]], [[-1, 42], [-1, -42]], [[1, 28], [1, -28]], [[-1, 38], [-1, -38]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[1, 20], [1, -20]], [[1, 34], [1, -34]], [[-1, 8], [-1, -8]], [[1, 30], [1, -30]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[-1, 8], [-1, -8]], [[1, 22], [1, -22]], [[-1, 4], [-1, -4]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[-1, 18], [-1, -18]], [[-1, 32], [-1, -32]], [[-1, 26], [-1, -26]], [[1, 28], [1, -28]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 30], [-1, -30]], [[1, 32], [1, -32]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[-1, 34], [-1, -34]], [[1, 36], [1, -36]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[-1, 38], [-1, -38]], [[1, 40], [1, -40]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 42], [-1, -42]], [[-1, 40], [-1, -40]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 32], [-1, -32]], [[1, 16], [1, -16]], [[-1, 36], [-1, -36]], [[1, 12], [1, -12]], [[-1, 40], [-1, -40]], [[1, 8], [1, -8]], [[1, 42], [1, -42]], [[1, 4], [1, -4]], [[1, 38], [1, -38]], [[-1, 12], [-1, -12]], [[1, 34], [1, -34]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[1, 6], [1, -6]], [[1, 26], [1, -26]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[-1, 16], [-1, -16]], [[1, 38], [1, -38]], [[-1, 12], [-1, -12]], [[-1, 39], [-1, -39]], [[-1, 11], [-1, -11]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 27], [1, -27]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[-1, 21], [-1, -21]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 37], [-1, -37]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[1, 21], [1, -21]], [[1, 33], [1, -33]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 37], [1, -37]], [[1, 17], [1, -17]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 33], [-1, -33]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 17], [-1, -17]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 31], [1, -31]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[-1, 15], [-1, -15]], [[-1, 35], [-1, -35]], [[-1, 39], [-1, -39]], [[-1, 27], [-1, -27]], [[1, 35], [1, -35]], [[-1, 31], [-1, -31]], [[1, 39], [1, -39]], [[-1, 19], [-1, -19]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[1, 35], [1, -35]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 19], [1, -19]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 29], [-1, -29]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[1, 13], [1, -13]], [[1, 41], [1, -41]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[1, 29], [1, -29]], [[1, 25], [1, -25]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[-1, 41], [-1, -41]], [[1, 9], [1, -9]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 25], [-1, -25]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 23], [1, -23]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[1, 39], [1, -39]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 23], [-1, -23]], [[-1, 35], [-1, -35]]]}
  • id: 29742713
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 152, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g16', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[1, 16], [1, -16]], [[-1, 26], [-1, -26]], [[1, 12], [1, -12]], [[-1, 22], [-1, -22]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 36], [1, -36]], [[1, 40], [1, -40]], [[1, 32], [1, -32]], [[-1, 42], [-1, -42]], [[1, 28], [1, -28]], [[-1, 38], [-1, -38]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[1, 20], [1, -20]], [[1, 34], [1, -34]], [[-1, 8], [-1, -8]], [[1, 30], [1, -30]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[-1, 8], [-1, -8]], [[1, 22], [1, -22]], [[-1, 4], [-1, -4]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[-1, 18], [-1, -18]], [[-1, 32], [-1, -32]], [[-1, 26], [-1, -26]], [[1, 28], [1, -28]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 30], [-1, -30]], [[1, 32], [1, -32]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[-1, 34], [-1, -34]], [[1, 36], [1, -36]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[-1, 38], [-1, -38]], [[1, 40], [1, -40]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 42], [-1, -42]], [[-1, 40], [-1, -40]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 32], [-1, -32]], [[1, 16], [1, -16]], [[-1, 36], [-1, -36]], [[1, 12], [1, -12]], [[-1, 40], [-1, -40]], [[1, 8], [1, -8]], [[1, 42], [1, -42]], [[1, 4], [1, -4]], [[1, 38], [1, -38]], [[-1, 12], [-1, -12]], [[1, 34], [1, -34]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[1, 6], [1, -6]], [[1, 26], [1, -26]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[-1, 16], [-1, -16]], [[1, 38], [1, -38]], [[-1, 12], [-1, -12]], [[1, 39], [1, -39]], [[1, 11], [1, -11]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 27], [-1, -27]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[1, 21], [1, -21]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[1, 37], [1, -37]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[-1, 21], [-1, -21]], [[-1, 33], [-1, -33]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 37], [-1, -37]], [[-1, 17], [-1, -17]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 33], [1, -33]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 17], [1, -17]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 31], [-1, -31]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[1, 15], [1, -15]], [[1, 35], [1, -35]], [[1, 39], [1, -39]], [[1, 27], [1, -27]], [[-1, 35], [-1, -35]], [[1, 31], [1, -31]], [[-1, 39], [-1, -39]], [[1, 19], [1, -19]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[-1, 35], [-1, -35]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 19], [-1, -19]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 29], [1, -29]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[-1, 13], [-1, -13]], [[-1, 41], [-1, -41]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[-1, 29], [-1, -29]], [[-1, 25], [-1, -25]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[1, 41], [1, -41]], [[-1, 9], [-1, -9]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 25], [1, -25]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 23], [-1, -23]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[-1, 39], [-1, -39]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 23], [1, -23]], [[1, 35], [1, -35]]]}
  • id: 29742714
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 153, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g17', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 34], [-1, -34]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[-1, 38], [-1, -38]], [[-1, 2], [-1, -2]], [[1, 32], [1, -32]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 30], [-1, -30]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[1, 24], [1, -24]], [[1, 28], [1, -28]], [[1, 12], [1, -12]], [[-1, 42], [-1, -42]], [[1, 4], [1, -4]], [[-1, 26], [-1, -26]], [[1, 20], [1, -20]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[-1, 6], [-1, -6]], [[-1, 36], [-1, -36]], [[-1, 32], [-1, -32]], [[1, 34], [1, -34]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 32], [-1, -32]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 30], [1, -30]], [[-1, 24], [-1, -24]], [[-1, 40], [-1, -40]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 42], [1, -42]], [[-1, 18], [-1, -18]], [[-1, 26], [-1, -26]], [[-1, 30], [-1, -30]], [[1, 26], [1, -26]], [[-1, 34], [-1, -34]], [[-1, 42], [-1, -42]], [[1, 40], [1, -40]], [[1, 10], [1, -10]], [[1, 36], [1, -36]], [[1, 28], [1, -28]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 22], [1, -22]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 26], [1, -26]], [[-1, 6], [-1, -6]], [[1, 42], [1, -42]], [[-1, 22], [-1, -22]], [[-1, 28], [-1, -28]], [[-1, 38], [-1, -38]], [[-1, 12], [-1, -12]], [[1, 32], [1, -32]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 38], [1, -38]], [[-1, 36], [-1, -36]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[-1, 24], [-1, -24]], [[1, 18], [1, -18]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 22], [1, -22]], [[-1, 20], [-1, -20]], [[1, 38], [1, -38]], [[-1, 27], [-1, -27]], [[1, 1], [1, -1]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 21], [1, -21]], [[-1, 23], [-1, -23]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 1], [-1, -1]], [[-1, 41], [-1, -41]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 23], [1, -23]], [[1, 19], [1, -19]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 41], [1, -41]], [[-1, 3], [-1, -3]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[-1, 19], [-1, -19]], [[1, 25], [1, -25]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[1, 3], [1, -3]], [[1, 39], [1, -39]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 25], [-1, -25]], [[-1, 17], [-1, -17]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 39], [-1, -39]], [[1, 5], [1, -5]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[1, 17], [1, -17]], [[-1, 11], [-1, -11]], [[-1, 27], [-1, -27]], [[-1, 21], [-1, -21]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[1, 27], [1, -27]], [[1, 33], [1, -33]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[1, 11], [1, -11]], [[1, 31], [1, -31]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 33], [-1, -33]], [[-1, 9], [-1, -9]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 31], [-1, -31]], [[1, 13], [1, -13]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[1, 9], [1, -9]], [[-1, 35], [-1, -35]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 13], [-1, -13]], [[-1, 29], [-1, -29]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 35], [1, -35]], [[1, 7], [1, -7]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 29], [1, -29]], [[-1, 15], [-1, -15]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 7], [-1, -7]], [[1, 37], [1, -37]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 15], [1, -15]], [[1, 27], [1, -27]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 37], [-1, -37]], [[-1, 11], [-1, -11]]]}
  • id: 29742715
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 154, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g18', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 34], [-1, -34]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[-1, 38], [-1, -38]], [[-1, 2], [-1, -2]], [[1, 32], [1, -32]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 30], [-1, -30]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[1, 24], [1, -24]], [[1, 28], [1, -28]], [[1, 12], [1, -12]], [[-1, 42], [-1, -42]], [[1, 4], [1, -4]], [[-1, 26], [-1, -26]], [[1, 20], [1, -20]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[-1, 6], [-1, -6]], [[-1, 36], [-1, -36]], [[-1, 32], [-1, -32]], [[1, 34], [1, -34]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 32], [-1, -32]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 30], [1, -30]], [[-1, 24], [-1, -24]], [[-1, 40], [-1, -40]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 42], [1, -42]], [[-1, 18], [-1, -18]], [[-1, 26], [-1, -26]], [[-1, 30], [-1, -30]], [[1, 26], [1, -26]], [[-1, 34], [-1, -34]], [[-1, 42], [-1, -42]], [[1, 40], [1, -40]], [[1, 10], [1, -10]], [[1, 36], [1, -36]], [[1, 28], [1, -28]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 22], [1, -22]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 26], [1, -26]], [[-1, 6], [-1, -6]], [[1, 42], [1, -42]], [[-1, 22], [-1, -22]], [[-1, 28], [-1, -28]], [[-1, 38], [-1, -38]], [[-1, 12], [-1, -12]], [[1, 32], [1, -32]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 38], [1, -38]], [[-1, 36], [-1, -36]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[-1, 24], [-1, -24]], [[1, 18], [1, -18]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 22], [1, -22]], [[-1, 20], [-1, -20]], [[1, 38], [1, -38]], [[1, 27], [1, -27]], [[-1, 1], [-1, -1]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 21], [-1, -21]], [[1, 23], [1, -23]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 1], [1, -1]], [[1, 41], [1, -41]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 23], [-1, -23]], [[-1, 19], [-1, -19]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 41], [-1, -41]], [[1, 3], [1, -3]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[1, 19], [1, -19]], [[-1, 25], [-1, -25]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[-1, 3], [-1, -3]], [[-1, 39], [-1, -39]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 25], [1, -25]], [[1, 17], [1, -17]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 39], [1, -39]], [[-1, 5], [-1, -5]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[1, 27], [1, -27]], [[1, 21], [1, -21]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 27], [-1, -27]], [[-1, 33], [-1, -33]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[-1, 11], [-1, -11]], [[-1, 31], [-1, -31]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 33], [1, -33]], [[1, 9], [1, -9]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 31], [1, -31]], [[-1, 13], [-1, -13]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[-1, 9], [-1, -9]], [[1, 35], [1, -35]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 13], [1, -13]], [[1, 29], [1, -29]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 35], [-1, -35]], [[-1, 7], [-1, -7]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 29], [-1, -29]], [[1, 15], [1, -15]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 7], [1, -7]], [[-1, 37], [-1, -37]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 15], [-1, -15]], [[-1, 27], [-1, -27]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 37], [1, -37]], [[1, 11], [1, -11]]]}
  • id: 29742716
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 155, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g19', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 38], [-1, -38]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, -30]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 42], [-1, -42]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[-1, 34], [-1, -34]], [[1, 36], [1, -36]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 32], [1, -32]], [[-1, 20], [-1, -20]], [[1, 30], [1, -30]], [[1, 38], [1, -38]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[-1, 28], [-1, -28]], [[-1, 40], [-1, -40]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 42], [1, -42]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 40], [1, -40]], [[1, 34], [1, -34]], [[-1, 10], [-1, -10]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[-1, 38], [-1, -38]], [[-1, 34], [-1, -34]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 6], [-1, -6]], [[-1, 42], [-1, -42]], [[-1, 32], [-1, -32]], [[1, 8], [1, -8]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[1, 26], [1, -26]], [[1, 36], [1, -36]], [[1, 22], [1, -22]], [[-1, 24], [-1, -24]], [[1, 32], [1, -32]], [[1, 34], [1, -34]], [[-1, 26], [-1, -26]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[-1, 36], [-1, -36]], [[1, 28], [1, -28]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 20], [-1, -20]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[1, 42], [1, -42]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 40], [-1, -40]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[1, 26], [1, -26]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 17], [-1, -17]], [[1, 35], [1, -35]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 25], [1, -25]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 35], [-1, -35]], [[-1, 1], [-1, -1]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 25], [-1, -25]], [[1, 27], [1, -27]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 1], [1, -1]], [[1, 33], [1, -33]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 27], [-1, -27]], [[-1, 7], [-1, -7]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[-1, 33], [-1, -33]], [[1, 19], [1, -19]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[1, 7], [1, -7]], [[1, 41], [1, -41]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[-1, 41], [-1, -41]], [[1, 15], [1, -15]], [[1, 39], [1, -39]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 39], [-1, -39]], [[-1, 5], [-1, -5]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[-1, 21], [-1, -21]], [[1, 31], [1, -31]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 5], [1, -5]], [[1, 29], [1, -29]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 31], [-1, -31]], [[-1, 3], [-1, -3]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[-1, 29], [-1, -29]], [[1, 23], [1, -23]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 3], [1, -3]], [[1, 37], [1, -37]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 23], [-1, -23]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 37], [-1, -37]], [[1, 15], [1, -15]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]]]}
  • id: 29742697
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 138, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g2', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[-1, 34], [-1, -34]], [[1, 32], [1, -32]], [[-1, 26], [-1, -26]], [[-1, 38], [-1, -38]], [[1, 20], [1, -20]], [[-1, 42], [-1, -42]], [[-1, 14], [-1, -14]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[-1, 30], [-1, -30]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 40], [-1, -40]], [[1, 22], [1, -22]], [[1, 34], [1, -34]], [[-1, 28], [-1, -28]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[1, 16], [1, -16]], [[1, 38], [1, -38]], [[1, 4], [1, -4]], [[-1, 42], [-1, -42]], [[-1, 22], [-1, -22]], [[1, 42], [1, -42]], [[-1, 2], [-1, -2]], [[-1, 38], [-1, -38]], [[1, 28], [1, -28]], [[-1, 36], [-1, -36]], [[1, 8], [1, -8]], [[1, 32], [1, -32]], [[-1, 34], [-1, -34]], [[1, 30], [1, -30]], [[-1, 14], [-1, -14]], [[-1, 26], [-1, -26]], [[1, 40], [1, -40]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[1, 26], [1, -26]], [[1, 42], [1, -42]], [[-1, 30], [-1, -30]], [[1, 38], [1, -38]], [[1, 24], [1, -24]], [[-1, 32], [-1, -32]], [[-1, 18], [-1, -18]], [[1, 26], [1, -26]], [[1, 12], [1, -12]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 8], [-1, -8]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[1, 34], [1, -34]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 16], [-1, -16]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 37], [1, -37]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 19], [1, -19]], [[-1, 29], [-1, -29]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[1, 33], [1, -33]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[1, 29], [1, -29]], [[1, 9], [1, -9]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[-1, 33], [-1, -33]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 39], [1, -39]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[-1, 15], [-1, -15]], [[-1, 23], [-1, -23]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[-1, 39], [-1, -39]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 23], [1, -23]], [[-1, 25], [-1, -25]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[-1, 31], [-1, -31]], [[1, 37], [1, -37]], [[-1, 19], [-1, -19]], [[1, 31], [1, -31]], [[1, 25], [1, -25]], [[-1, 37], [-1, -37]], [[-1, 7], [-1, -7]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 31], [1, -31]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 41], [-1, -41]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[1, 17], [1, -17]], [[1, 21], [1, -21]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 41], [1, -41]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 21], [-1, -21]], [[1, 27], [1, -27]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[-1, 35], [-1, -35]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 27], [-1, -27]], [[-1, 11], [-1, -11]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[1, 35], [1, -35]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[-1, 37], [-1, -37]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 13], [1, -13]], [[-1, 31], [-1, -31]]]}
  • id: 29742717
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 156, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g20', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 38], [-1, -38]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, -30]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 42], [-1, -42]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[-1, 34], [-1, -34]], [[1, 36], [1, -36]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 32], [1, -32]], [[-1, 20], [-1, -20]], [[1, 30], [1, -30]], [[1, 38], [1, -38]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[-1, 28], [-1, -28]], [[-1, 40], [-1, -40]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 42], [1, -42]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 40], [1, -40]], [[1, 34], [1, -34]], [[-1, 10], [-1, -10]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[-1, 38], [-1, -38]], [[-1, 34], [-1, -34]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 6], [-1, -6]], [[-1, 42], [-1, -42]], [[-1, 32], [-1, -32]], [[1, 8], [1, -8]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[1, 26], [1, -26]], [[1, 36], [1, -36]], [[1, 22], [1, -22]], [[-1, 24], [-1, -24]], [[1, 32], [1, -32]], [[1, 34], [1, -34]], [[-1, 26], [-1, -26]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[-1, 36], [-1, -36]], [[1, 28], [1, -28]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 20], [-1, -20]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[1, 42], [1, -42]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 40], [-1, -40]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[1, 26], [1, -26]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 17], [1, -17]], [[-1, 35], [-1, -35]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, -9]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 35], [1, -35]], [[1, 1], [1, -1]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 25], [1, -25]], [[-1, 27], [-1, -27]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 1], [-1, -1]], [[-1, 33], [-1, -33]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 27], [1, -27]], [[1, 7], [1, -7]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[1, 33], [1, -33]], [[-1, 19], [-1, -19]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[-1, 7], [-1, -7]], [[-1, 41], [-1, -41]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[1, 41], [1, -41]], [[-1, 15], [-1, -15]], [[-1, 39], [-1, -39]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 39], [1, -39]], [[1, 5], [1, -5]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[1, 21], [1, -21]], [[-1, 31], [-1, -31]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, -5]], [[-1, 29], [-1, -29]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 31], [1, -31]], [[1, 3], [1, -3]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[1, 29], [1, -29]], [[-1, 23], [-1, -23]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 3], [-1, -3]], [[-1, 37], [-1, -37]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 37], [1, -37]], [[-1, 15], [-1, -15]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]]]}
  • id: 29742718
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 157, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g21', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 42], [-1, -42]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 34], [-1, -34]], [[-1, 38], [-1, -38]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[1, 32], [1, -32]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[-1, 26], [-1, -26]], [[1, 16], [1, -16]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[1, 36], [1, -36]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 42], [1, -42]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 38], [1, -38]], [[-1, 40], [-1, -40]], [[-1, 8], [-1, -8]], [[-1, 20], [-1, -20]], [[-1, 32], [-1, -32]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[1, 32], [1, -32]], [[1, 22], [1, -22]], [[-1, 42], [-1, -42]], [[1, 24], [1, -24]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 26], [-1, -26]], [[-1, 28], [-1, -28]], [[1, 36], [1, -36]], [[-1, 30], [-1, -30]], [[1, 20], [1, -20]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 22], [1, -22]], [[1, 28], [1, -28]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 34], [-1, -34]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 40], [1, -40]], [[-1, 36], [-1, -36]], [[1, 34], [1, -34]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[1, 26], [1, -26]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[-1, 8], [-1, -8]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[1, 34], [1, -34]], [[-1, 3], [-1, -3]], [[1, 19], [1, -19]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 31], [-1, -31]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 29], [1, -29]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[1, 41], [1, -41]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[-1, 29], [-1, -29]], [[-1, 33], [-1, -33]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 41], [-1, -41]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 33], [1, -33]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[-1, 37], [-1, -37]], [[-1, 3], [-1, -3]], [[1, 31], [1, -31]], [[1, 37], [1, -37]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 25], [-1, -25]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[1, 37], [1, -37]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 25], [1, -25]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[-1, 35], [-1, -35]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 23], [1, -23]], [[1, 39], [1, -39]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 35], [1, -35]], [[1, 27], [1, -27]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 39], [-1, -39]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, -27]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 37], [-1, -37]]]}
  • id: 29742719
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 158, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g22', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 42], [-1, -42]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 34], [-1, -34]], [[-1, 38], [-1, -38]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[1, 32], [1, -32]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[-1, 26], [-1, -26]], [[1, 16], [1, -16]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[1, 36], [1, -36]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 42], [1, -42]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 38], [1, -38]], [[-1, 40], [-1, -40]], [[-1, 8], [-1, -8]], [[-1, 20], [-1, -20]], [[-1, 32], [-1, -32]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[1, 32], [1, -32]], [[1, 22], [1, -22]], [[-1, 42], [-1, -42]], [[1, 24], [1, -24]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 26], [-1, -26]], [[-1, 28], [-1, -28]], [[1, 36], [1, -36]], [[-1, 30], [-1, -30]], [[1, 20], [1, -20]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 22], [1, -22]], [[1, 28], [1, -28]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 34], [-1, -34]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 40], [1, -40]], [[-1, 36], [-1, -36]], [[1, 34], [1, -34]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[1, 26], [1, -26]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[-1, 8], [-1, -8]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[1, 34], [1, -34]], [[1, 3], [1, -3]], [[-1, 19], [-1, -19]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 31], [1, -31]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 29], [-1, -29]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 17], [1, -17]], [[-1, 41], [-1, -41]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[1, 29], [1, -29]], [[1, 33], [1, -33]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 41], [1, -41]], [[1, 21], [1, -21]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 33], [-1, -33]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, -21]], [[1, 37], [1, -37]], [[1, 3], [1, -3]], [[-1, 31], [-1, -31]], [[-1, 37], [-1, -37]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 25], [1, -25]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[-1, 37], [-1, -37]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 25], [-1, -25]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 23], [1, -23]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[1, 35], [1, -35]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 23], [-1, -23]], [[-1, 39], [-1, -39]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 35], [-1, -35]], [[-1, 27], [-1, -27]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 39], [1, -39]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 27], [1, -27]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 37], [1, -37]]]}
  • id: 29742720
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 159, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g23', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 40], [1, -40]], [[1, 36], [1, -36]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 28], [1, -28]], [[-1, 18], [-1, -18]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[1, 8], [1, -8]], [[-1, 38], [-1, -38]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, -30]], [[1, 20], [1, -20]], [[-1, 22], [-1, -22]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[-1, 40], [-1, -40]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 28], [-1, -28]], [[1, 34], [1, -34]], [[-1, 24], [-1, -24]], [[1, 26], [1, -26]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 42], [1, -42]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[1, 24], [1, -24]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 20], [1, -20]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[1, 40], [1, -40]], [[-1, 14], [-1, -14]], [[-1, 42], [-1, -42]], [[-1, 32], [-1, -32]], [[1, 12], [1, -12]], [[-1, 38], [-1, -38]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 4], [1, -4]], [[-1, 26], [-1, -26]], [[-1, 36], [-1, -36]], [[-1, 30], [-1, -30]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 36], [1, -36]], [[1, 38], [1, -38]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[1, 30], [1, -30]], [[-1, 34], [-1, -34]], [[1, 22], [1, -22]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[-1, 24], [-1, -24]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[-1, 36], [-1, -36]], [[1, 22], [1, -22]], [[-1, 16], [-1, -16]], [[-1, 9], [-1, -9]], [[-1, 29], [-1, -29]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 29], [1, -29]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, -21]], [[-1, 35], [-1, -35]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 35], [1, -35]], [[-1, 37], [-1, -37]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 37], [1, -37]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 27], [-1, -27]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 23], [-1, -23]], [[1, 25], [1, -25]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 25], [-1, -25]], [[1, 27], [1, -27]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 25], [-1, -25]], [[-1, 39], [-1, -39]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 39], [1, -39]], [[-1, 33], [-1, -33]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[1, 33], [1, -33]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[-1, 31], [-1, -31]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 31], [1, -31]], [[-1, 41], [-1, -41]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[1, 41], [1, -41]], [[1, 25], [1, -25]]]}
  • id: 29742722
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 160, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g24', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 40], [1, -40]], [[1, 36], [1, -36]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 28], [1, -28]], [[-1, 18], [-1, -18]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[1, 8], [1, -8]], [[-1, 38], [-1, -38]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, -30]], [[1, 20], [1, -20]], [[-1, 22], [-1, -22]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[-1, 40], [-1, -40]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 28], [-1, -28]], [[1, 34], [1, -34]], [[-1, 24], [-1, -24]], [[1, 26], [1, -26]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 42], [1, -42]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[1, 24], [1, -24]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 20], [1, -20]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[1, 40], [1, -40]], [[-1, 14], [-1, -14]], [[-1, 42], [-1, -42]], [[-1, 32], [-1, -32]], [[1, 12], [1, -12]], [[-1, 38], [-1, -38]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 4], [1, -4]], [[-1, 26], [-1, -26]], [[-1, 36], [-1, -36]], [[-1, 30], [-1, -30]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 36], [1, -36]], [[1, 38], [1, -38]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[1, 30], [1, -30]], [[-1, 34], [-1, -34]], [[1, 22], [1, -22]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[-1, 24], [-1, -24]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[-1, 36], [-1, -36]], [[1, 22], [1, -22]], [[-1, 16], [-1, -16]], [[1, 9], [1, -9]], [[1, 29], [1, -29]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 29], [-1, -29]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 35], [1, -35]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 35], [-1, -35]], [[1, 37], [1, -37]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 37], [-1, -37]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 27], [1, -27]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 23], [1, -23]], [[-1, 25], [-1, -25]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 25], [1, -25]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 25], [1, -25]], [[1, 39], [1, -39]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 39], [-1, -39]], [[1, 33], [1, -33]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[-1, 33], [-1, -33]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 31], [1, -31]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 31], [-1, -31]], [[1, 41], [1, -41]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[-1, 41], [-1, -41]], [[-1, 25], [-1, -25]]]}
  • id: 29742723
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 161, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g25', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 36], [1, -36]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 20], [1, -20]], [[1, 8], [1, -8]], [[-1, 42], [-1, -42]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[-1, 34], [-1, -34]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, -26]], [[-1, 38], [-1, -38]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[1, 24], [1, -24]], [[-1, 28], [-1, -28]], [[1, 42], [1, -42]], [[-1, 36], [-1, -36]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 42], [1, -42]], [[-1, 8], [-1, -8]], [[1, 22], [1, -22]], [[1, 30], [1, -30]], [[-1, 32], [-1, -32]], [[1, 34], [1, -34]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[-1, 30], [-1, -30]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 34], [-1, -34]], [[1, 18], [1, -18]], [[1, 36], [1, -36]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 40], [-1, -40]], [[1, 28], [1, -28]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[-1, 6], [-1, -6]], [[-1, 38], [-1, -38]], [[1, 32], [1, -32]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 38], [1, -38]], [[1, 18], [1, -18]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[1, 20], [1, -20]], [[1, 38], [1, -38]], [[-1, 42], [-1, -42]], [[-1, 16], [-1, -16]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, -28]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[1, 30], [1, -30]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 20], [-1, -20]], [[-1, 21], [-1, -21]], [[1, 39], [1, -39]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 41], [1, -41]], [[-1, 37], [-1, -37]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 39], [-1, -39]], [[1, 35], [1, -35]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 37], [1, -37]], [[-1, 33], [-1, -33]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 35], [-1, -35]], [[1, 31], [1, -31]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 33], [1, -33]], [[-1, 29], [-1, -29]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 31], [-1, -31]], [[1, 27], [1, -27]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 29], [1, -29]], [[-1, 25], [-1, -25]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 27], [-1, -27]], [[1, 23], [1, -23]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 25], [1, -25]], [[1, 1], [1, -1]], [[-1, 21], [-1, -21]], [[-1, 41], [-1, -41]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[1, 21], [1, -21]], [[-1, 3], [-1, -3]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 9], [-1, -9]], [[1, 13], [1, -13]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 13], [-1, -13]], [[1, 17], [1, -17]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 15], [1, -15]], [[-1, 19], [-1, -19]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 17], [-1, -17]], [[1, 21], [1, -21]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 19], [1, -19]], [[1, 1], [1, -1]]]}
  • id: 29742724
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 162, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g26', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 36], [1, -36]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 20], [1, -20]], [[1, 8], [1, -8]], [[-1, 42], [-1, -42]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[-1, 34], [-1, -34]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, -26]], [[-1, 38], [-1, -38]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[1, 24], [1, -24]], [[-1, 28], [-1, -28]], [[1, 42], [1, -42]], [[-1, 36], [-1, -36]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 42], [1, -42]], [[-1, 8], [-1, -8]], [[1, 22], [1, -22]], [[1, 30], [1, -30]], [[-1, 32], [-1, -32]], [[1, 34], [1, -34]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[-1, 30], [-1, -30]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 34], [-1, -34]], [[1, 18], [1, -18]], [[1, 36], [1, -36]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 40], [-1, -40]], [[1, 28], [1, -28]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[-1, 6], [-1, -6]], [[-1, 38], [-1, -38]], [[1, 32], [1, -32]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 38], [1, -38]], [[1, 18], [1, -18]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[1, 20], [1, -20]], [[1, 38], [1, -38]], [[-1, 42], [-1, -42]], [[-1, 16], [-1, -16]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, -28]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[1, 30], [1, -30]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 20], [-1, -20]], [[1, 21], [1, -21]], [[-1, 39], [-1, -39]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 41], [-1, -41]], [[1, 37], [1, -37]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 39], [1, -39]], [[-1, 35], [-1, -35]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 37], [-1, -37]], [[1, 33], [1, -33]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 35], [1, -35]], [[-1, 31], [-1, -31]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 33], [-1, -33]], [[1, 29], [1, -29]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 31], [1, -31]], [[-1, 27], [-1, -27]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 29], [-1, -29]], [[1, 25], [1, -25]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 27], [1, -27]], [[-1, 23], [-1, -23]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 25], [-1, -25]], [[-1, 1], [-1, -1]], [[1, 21], [1, -21]], [[1, 41], [1, -41]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[-1, 21], [-1, -21]], [[1, 3], [1, -3]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 9], [1, -9]], [[-1, 13], [-1, -13]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 13], [1, -13]], [[-1, 17], [-1, -17]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 15], [-1, -15]], [[1, 19], [1, -19]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 17], [1, -17]], [[-1, 21], [-1, -21]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, -1]]]}
  • id: 29742725
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 163, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g27', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 32], [1, -32]], [[1, 40], [1, -40]], [[-1, 22], [-1, -22]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 28], [1, -28]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 34], [-1, -34]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[1, 36], [1, -36]], [[1, 42], [1, -42]], [[-1, 20], [-1, -20]], [[-1, 32], [-1, -32]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 38], [1, -38]], [[-1, 8], [-1, -8]], [[-1, 28], [-1, -28]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 16], [-1, -16]], [[1, 32], [1, -32]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 26], [1, -26]], [[-1, 42], [-1, -42]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[-1, 36], [-1, -36]], [[-1, 34], [-1, -34]], [[-1, 14], [-1, -14]], [[-1, 38], [-1, -38]], [[-1, 40], [-1, -40]], [[1, 24], [1, -24]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[1, 36], [1, -36]], [[1, 6], [1, -6]], [[1, 40], [1, -40]], [[-1, 4], [-1, -4]], [[-1, 30], [-1, -30]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 10], [-1, -10]], [[1, 34], [1, -34]], [[1, 30], [1, -30]], [[1, 42], [1, -42]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[-1, 28], [-1, -28]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[-1, 40], [-1, -40]], [[1, 34], [1, -34]], [[1, 30], [1, -30]], [[-1, 33], [-1, -33]], [[1, 37], [1, -37]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 37], [-1, -37]], [[-1, 31], [-1, -31]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[1, 31], [1, -31]], [[1, 25], [1, -25]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, -21]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 21], [1, -21]], [[1, 27], [1, -27]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 27], [-1, -27]], [[1, 23], [1, -23]], [[-1, 33], [-1, -33]], [[1, 3], [1, -3]], [[-1, 23], [-1, -23]], [[-1, 13], [-1, -13]], [[1, 33], [1, -33]], [[1, 17], [1, -17]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 23], [-1, -23]], [[-1, 29], [-1, -29]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 29], [1, -29]], [[1, 35], [1, -35]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 35], [-1, -35]], [[-1, 41], [-1, -41]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[1, 41], [1, -41]], [[-1, 39], [-1, -39]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 39], [1, -39]], [[1, 33], [1, -33]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 7], [-1, -7]], [[1, 23], [1, -23]]]}
  • id: 29742726
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 164, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g28', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 32], [1, -32]], [[1, 40], [1, -40]], [[-1, 22], [-1, -22]], [[-1, 30], [-1, -30]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 28], [1, -28]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 34], [-1, -34]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[1, 36], [1, -36]], [[1, 42], [1, -42]], [[-1, 20], [-1, -20]], [[-1, 32], [-1, -32]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 38], [1, -38]], [[-1, 8], [-1, -8]], [[-1, 28], [-1, -28]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 16], [-1, -16]], [[1, 32], [1, -32]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 26], [1, -26]], [[-1, 42], [-1, -42]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[-1, 36], [-1, -36]], [[-1, 34], [-1, -34]], [[-1, 14], [-1, -14]], [[-1, 38], [-1, -38]], [[-1, 40], [-1, -40]], [[1, 24], [1, -24]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[1, 36], [1, -36]], [[1, 6], [1, -6]], [[1, 40], [1, -40]], [[-1, 4], [-1, -4]], [[-1, 30], [-1, -30]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 10], [-1, -10]], [[1, 34], [1, -34]], [[1, 30], [1, -30]], [[1, 42], [1, -42]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[-1, 28], [-1, -28]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[-1, 40], [-1, -40]], [[1, 34], [1, -34]], [[1, 30], [1, -30]], [[1, 33], [1, -33]], [[-1, 37], [-1, -37]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 37], [1, -37]], [[1, 31], [1, -31]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[-1, 31], [-1, -31]], [[-1, 25], [-1, -25]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 25], [1, -25]], [[1, 19], [1, -19]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, -27]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 27], [1, -27]], [[-1, 23], [-1, -23]], [[1, 33], [1, -33]], [[-1, 3], [-1, -3]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[-1, 33], [-1, -33]], [[-1, 17], [-1, -17]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 23], [1, -23]], [[1, 29], [1, -29]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 29], [-1, -29]], [[-1, 35], [-1, -35]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 35], [1, -35]], [[1, 41], [1, -41]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[-1, 41], [-1, -41]], [[1, 39], [1, -39]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 39], [-1, -39]], [[-1, 33], [-1, -33]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[-1, 23], [-1, -23]]]}
  • id: 29742727
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 165, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g29', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 28], [1, -28]], [[1, 8], [1, -8]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[1, 32], [1, -32]], [[1, 4], [1, -4]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[1, 36], [1, -36]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 40], [1, -40]], [[-1, 18], [-1, -18]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[1, 26], [1, -26]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[-1, 4], [-1, -4]], [[-1, 32], [-1, -32]], [[1, 2], [1, -2]], [[1, 34], [1, -34]], [[1, 42], [1, -42]], [[-1, 36], [-1, -36]], [[-1, 40], [-1, -40]], [[1, 38], [1, -38]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 34], [-1, -34]], [[-1, 16], [-1, -16]], [[-1, 30], [-1, -30]], [[-1, 14], [-1, -14]], [[1, 36], [1, -36]], [[1, 14], [1, -14]], [[1, 28], [1, -28]], [[1, 16], [1, -16]], [[-1, 38], [-1, -38]], [[-1, 12], [-1, -12]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[1, 40], [1, -40]], [[1, 10], [1, -10]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 42], [-1, -42]], [[-1, 8], [-1, -8]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[-1, 24], [-1, -24]], [[1, 6], [1, -6]], [[1, 26], [1, -26]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[-1, 40], [-1, -40]], [[1, 30], [1, -30]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[1, 34], [1, -34]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 6], [1, -6]], [[-1, 41], [-1, -41]], [[1, 27], [1, -27]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 35], [-1, -35]], [[1, 19], [1, -19]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[-1, 27], [-1, -27]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 19], [-1, -19]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 21], [1, -21]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 13], [-1, -13]], [[1, 29], [1, -29]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 21], [-1, -21]], [[1, 37], [1, -37]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[-1, 29], [-1, -29]], [[1, 39], [1, -39]], [[-1, 41], [-1, -41]], [[1, 35], [1, -35]], [[-1, 39], [-1, -39]], [[-1, 37], [-1, -37]], [[1, 41], [1, -41]], [[1, 31], [1, -31]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[-1, 39], [-1, -39]], [[1, 23], [1, -23]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[-1, 31], [-1, -31]], [[1, 15], [1, -15]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 23], [-1, -23]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 17], [1, -17]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[1, 25], [1, -25]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[-1, 17], [-1, -17]], [[1, 33], [1, -33]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[-1, 25], [-1, -25]], [[1, 41], [1, -41]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[-1, 33], [-1, -33]], [[1, 39], [1, -39]]]}
  • id: 29742698
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 139, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g3', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[1, 32], [1, -32]], [[-1, 30], [-1, -30]], [[1, 36], [1, -36]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 20], [1, -20]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[-1, 26], [-1, -26]], [[1, 40], [1, -40]], [[-1, 42], [-1, -42]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 38], [1, -38]], [[1, 34], [1, -34]], [[-1, 20], [-1, -20]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[-1, 38], [-1, -38]], [[-1, 28], [-1, -28]], [[1, 12], [1, -12]], [[1, 40], [1, -40]], [[1, 20], [1, -20]], [[-1, 40], [-1, -40]], [[-1, 6], [-1, -6]], [[1, 28], [1, -28]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 42], [-1, -42]], [[1, 8], [1, -8]], [[-1, 34], [-1, -34]], [[1, 14], [1, -14]], [[-1, 26], [-1, -26]], [[-1, 8], [-1, -8]], [[-1, 40], [-1, -40]], [[1, 4], [1, -4]], [[-1, 28], [-1, -28]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 32], [1, -32]], [[-1, 8], [-1, -8]], [[1, 36], [1, -36]], [[1, 26], [1, -26]], [[-1, 18], [-1, -18]], [[1, 42], [1, -42]], [[-1, 32], [-1, -32]], [[-1, 24], [-1, -24]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[1, 38], [1, -38]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[1, 42], [1, -42]], [[-1, 32], [-1, -32]], [[-1, 25], [-1, -25]], [[-1, 15], [-1, -15]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 29], [-1, -29]], [[1, 1], [1, -1]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[1, 15], [1, -15]], [[-1, 13], [-1, -13]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[-1, 1], [-1, -1]], [[1, 27], [1, -27]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[1, 13], [1, -13]], [[-1, 41], [-1, -41]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 27], [-1, -27]], [[-1, 31], [-1, -31]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 41], [1, -41]], [[1, 17], [1, -17]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 31], [1, -31]], [[-1, 3], [-1, -3]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 25], [-1, -25]], [[1, 29], [1, -29]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[1, 25], [1, -25]], [[-1, 21], [-1, -21]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[-1, 7], [-1, -7]], [[1, 35], [1, -35]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 21], [1, -21]], [[1, 37], [1, -37]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 35], [-1, -35]], [[-1, 23], [-1, -23]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 37], [-1, -37]], [[1, 9], [1, -9]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 23], [1, -23]], [[-1, 5], [-1, -5]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 9], [-1, -9]], [[1, 19], [1, -19]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 5], [1, -5]], [[-1, 33], [-1, -33]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 19], [-1, -19]], [[-1, 39], [-1, -39]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 33], [1, -33]], [[1, 25], [1, -25]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 39], [1, -39]], [[1, 7], [1, -7]]]}
  • id: 29742728
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 166, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g30', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 28], [1, -28]], [[1, 8], [1, -8]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[1, 32], [1, -32]], [[1, 4], [1, -4]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[1, 36], [1, -36]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 40], [1, -40]], [[-1, 18], [-1, -18]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[1, 26], [1, -26]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[-1, 4], [-1, -4]], [[-1, 32], [-1, -32]], [[1, 2], [1, -2]], [[1, 34], [1, -34]], [[1, 42], [1, -42]], [[-1, 36], [-1, -36]], [[-1, 40], [-1, -40]], [[1, 38], [1, -38]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 34], [-1, -34]], [[-1, 16], [-1, -16]], [[-1, 30], [-1, -30]], [[-1, 14], [-1, -14]], [[1, 36], [1, -36]], [[1, 14], [1, -14]], [[1, 28], [1, -28]], [[1, 16], [1, -16]], [[-1, 38], [-1, -38]], [[-1, 12], [-1, -12]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[1, 40], [1, -40]], [[1, 10], [1, -10]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 42], [-1, -42]], [[-1, 8], [-1, -8]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[-1, 24], [-1, -24]], [[1, 6], [1, -6]], [[1, 26], [1, -26]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[-1, 40], [-1, -40]], [[1, 30], [1, -30]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[1, 34], [1, -34]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 6], [1, -6]], [[1, 41], [1, -41]], [[-1, 27], [-1, -27]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 35], [1, -35]], [[-1, 19], [-1, -19]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[1, 27], [1, -27]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 19], [1, -19]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 21], [-1, -21]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 13], [1, -13]], [[-1, 29], [-1, -29]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 21], [1, -21]], [[-1, 37], [-1, -37]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[1, 29], [1, -29]], [[-1, 39], [-1, -39]], [[1, 41], [1, -41]], [[-1, 35], [-1, -35]], [[1, 39], [1, -39]], [[1, 37], [1, -37]], [[-1, 41], [-1, -41]], [[-1, 31], [-1, -31]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[1, 39], [1, -39]], [[-1, 23], [-1, -23]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[1, 31], [1, -31]], [[-1, 15], [-1, -15]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 23], [1, -23]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 17], [-1, -17]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 9], [1, -9]], [[-1, 25], [-1, -25]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[1, 17], [1, -17]], [[-1, 33], [-1, -33]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[1, 25], [1, -25]], [[-1, 41], [-1, -41]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[1, 33], [1, -33]], [[-1, 39], [-1, -39]]]}
  • id: 29742729
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 167, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g31', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-1, 38], [-1, -38]], [[-1, 42], [-1, -42]], [[-1, 34], [-1, -34]], [[1, 28], [1, -28]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[-1, 22], [-1, -22]], [[1, 40], [1, -40]], [[1, 32], [1, -32]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[-1, 28], [-1, -28]], [[-1, 24], [-1, -24]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[-1, 28], [-1, -28]], [[1, 34], [1, -34]], [[1, 14], [1, -14]], [[-1, 20], [-1, -20]], [[-1, 36], [-1, -36]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 8], [-1, -8]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[1, 20], [1, -20]], [[1, 26], [1, -26]], [[-1, 38], [-1, -38]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 26], [-1, -26]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 40], [1, -40]], [[-1, 22], [-1, -22]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 32], [1, -32]], [[1, 36], [1, -36]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[-1, 32], [-1, -32]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[1, 26], [1, -26]], [[-1, 30], [-1, -30]], [[-1, 40], [-1, -40]], [[-1, 42], [-1, -42]], [[-1, 32], [-1, -32]], [[1, 28], [1, -28]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[1, 42], [1, -42]], [[1, 10], [1, -10]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[1, 22], [1, -22]], [[1, 38], [1, -38]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[-1, 20], [-1, -20]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 30], [1, -30]], [[-1, 4], [-1, -4]], [[1, 42], [1, -42]], [[-1, 29], [-1, -29]], [[-1, 17], [-1, -17]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[-1, 13], [-1, -13]], [[-1, 39], [-1, -39]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 39], [1, -39]], [[-1, 21], [-1, -21]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[-1, 9], [-1, -9]], [[-1, 35], [-1, -35]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 35], [1, -35]], [[-1, 25], [-1, -25]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[-1, 5], [-1, -5]], [[-1, 31], [-1, -31]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 25], [1, -25]], [[1, 1], [1, -1]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 31], [1, -31]], [[1, 15], [1, -15]], [[-1, 29], [-1, -29]], [[1, 13], [1, -13]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[1, 29], [1, -29]], [[1, 41], [1, -41]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 41], [-1, -41]], [[1, 19], [1, -19]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 11], [1, -11]], [[1, 37], [1, -37]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 37], [-1, -37]], [[1, 23], [1, -23]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[1, 7], [1, -7]], [[1, 33], [1, -33]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 33], [-1, -33]], [[1, 27], [1, -27]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 3], [1, -3]], [[1, 29], [1, -29]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 27], [-1, -27]], [[1, 15], [1, -15]]]}
  • id: 29742730
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 168, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g32', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 30], [-1, -30]], [[-1, 38], [-1, -38]], [[-1, 42], [-1, -42]], [[-1, 34], [-1, -34]], [[1, 28], [1, -28]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[-1, 22], [-1, -22]], [[1, 40], [1, -40]], [[1, 32], [1, -32]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[-1, 28], [-1, -28]], [[-1, 24], [-1, -24]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[-1, 28], [-1, -28]], [[1, 34], [1, -34]], [[1, 14], [1, -14]], [[-1, 20], [-1, -20]], [[-1, 36], [-1, -36]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 8], [-1, -8]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[1, 20], [1, -20]], [[1, 26], [1, -26]], [[-1, 38], [-1, -38]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 26], [-1, -26]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 40], [1, -40]], [[-1, 22], [-1, -22]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[1, 32], [1, -32]], [[1, 36], [1, -36]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[-1, 32], [-1, -32]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[1, 26], [1, -26]], [[-1, 30], [-1, -30]], [[-1, 40], [-1, -40]], [[-1, 42], [-1, -42]], [[-1, 32], [-1, -32]], [[1, 28], [1, -28]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[1, 42], [1, -42]], [[1, 10], [1, -10]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[1, 22], [1, -22]], [[1, 38], [1, -38]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[-1, 20], [-1, -20]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 30], [1, -30]], [[-1, 4], [-1, -4]], [[1, 42], [1, -42]], [[1, 29], [1, -29]], [[1, 17], [1, -17]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[1, 13], [1, -13]], [[1, 39], [1, -39]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, -9]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 39], [-1, -39]], [[1, 21], [1, -21]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[1, 9], [1, -9]], [[1, 35], [1, -35]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, -5]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 35], [-1, -35]], [[1, 25], [1, -25]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[1, 5], [1, -5]], [[1, 31], [1, -31]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 25], [-1, -25]], [[-1, 1], [-1, -1]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 31], [-1, -31]], [[-1, 15], [-1, -15]], [[1, 29], [1, -29]], [[-1, 13], [-1, -13]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[-1, 29], [-1, -29]], [[-1, 41], [-1, -41]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 41], [1, -41]], [[-1, 19], [-1, -19]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 11], [-1, -11]], [[-1, 37], [-1, -37]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 37], [1, -37]], [[-1, 23], [-1, -23]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[-1, 7], [-1, -7]], [[-1, 33], [-1, -33]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 33], [1, -33]], [[-1, 27], [-1, -27]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 3], [-1, -3]], [[-1, 29], [-1, -29]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 27], [1, -27]], [[-1, 15], [-1, -15]]]}
  • id: 29742731
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 169, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g33', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 20], [1, -20]], [[-1, 18], [-1, -18]], [[1, 40], [1, -40]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 34], [-1, -34]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[-1, 38], [-1, -38]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[1, 4], [1, -4]], [[1, 24], [1, -24]], [[-1, 2], [-1, -2]], [[1, 36], [1, -36]], [[1, 28], [1, -28]], [[-1, 10], [-1, -10]], [[1, 32], [1, -32]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 42], [-1, -42]], [[1, 6], [1, -6]], [[1, 34], [1, -34]], [[-1, 20], [-1, -20]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[1, 34], [1, -34]], [[1, 14], [1, -14]], [[1, 26], [1, -26]], [[-1, 12], [-1, -12]], [[1, 30], [1, -30]], [[1, 38], [1, -38]], [[-1, 4], [-1, -4]], [[1, 22], [1, -22]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[-1, 36], [-1, -36]], [[1, 40], [1, -40]], [[-1, 10], [-1, -10]], [[-1, 38], [-1, -38]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[1, 36], [1, -36]], [[-1, 22], [-1, -22]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[1, 42], [1, -42]], [[1, 32], [1, -32]], [[-1, 2], [-1, -2]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[1, 28], [1, -28]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 42], [-1, -42]], [[-1, 36], [-1, -36]], [[-1, 18], [-1, -18]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 34], [-1, -34]], [[-1, 28], [-1, -28]], [[-1, 26], [-1, -26]], [[-1, 32], [-1, -32]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 40], [-1, -40]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[-1, 12], [-1, -12]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[1, 18], [1, -18]], [[-1, 32], [-1, -32]], [[-1, 8], [-1, -8]], [[-1, 17], [-1, -17]], [[1, 7], [1, -7]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[1, 25], [1, -25]], [[-1, 11], [-1, -11]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 7], [-1, -7]], [[1, 29], [1, -29]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 39], [1, -39]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 29], [-1, -29]], [[-1, 21], [-1, -21]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 39], [-1, -39]], [[1, 3], [1, -3]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 21], [1, -21]], [[-1, 15], [-1, -15]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[-1, 3], [-1, -3]], [[1, 33], [1, -33]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 35], [1, -35]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 33], [-1, -33]], [[1, 9], [1, -9]], [[-1, 17], [-1, -17]], [[-1, 25], [-1, -25]], [[-1, 9], [-1, -9]], [[-1, 35], [-1, -35]], [[1, 17], [1, -17]], [[-1, 27], [-1, -27]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 9], [-1, -9]], [[-1, 41], [-1, -41]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 27], [1, -27]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 41], [1, -41]], [[-1, 5], [-1, -5]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[-1, 23], [-1, -23]], [[1, 13], [1, -13]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[1, 5], [1, -5]], [[-1, 31], [-1, -31]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 13], [-1, -13]], [[-1, 37], [-1, -37]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 31], [1, -31]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 37], [1, -37]], [[-1, 1], [-1, -1]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[-1, 19], [-1, -19]], [[1, 17], [1, -17]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[1, 1], [1, -1]], [[1, 9], [1, -9]]]}
  • id: 29742733
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 170, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g34', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 20], [1, -20]], [[-1, 18], [-1, -18]], [[1, 40], [1, -40]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 34], [-1, -34]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[-1, 38], [-1, -38]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[1, 4], [1, -4]], [[1, 24], [1, -24]], [[-1, 2], [-1, -2]], [[1, 36], [1, -36]], [[1, 28], [1, -28]], [[-1, 10], [-1, -10]], [[1, 32], [1, -32]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 42], [-1, -42]], [[1, 6], [1, -6]], [[1, 34], [1, -34]], [[-1, 20], [-1, -20]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[1, 34], [1, -34]], [[1, 14], [1, -14]], [[1, 26], [1, -26]], [[-1, 12], [-1, -12]], [[1, 30], [1, -30]], [[1, 38], [1, -38]], [[-1, 4], [-1, -4]], [[1, 22], [1, -22]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[-1, 36], [-1, -36]], [[1, 40], [1, -40]], [[-1, 10], [-1, -10]], [[-1, 38], [-1, -38]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[1, 36], [1, -36]], [[-1, 22], [-1, -22]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[1, 42], [1, -42]], [[1, 32], [1, -32]], [[-1, 2], [-1, -2]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[1, 28], [1, -28]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 42], [-1, -42]], [[-1, 36], [-1, -36]], [[-1, 18], [-1, -18]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 34], [-1, -34]], [[-1, 28], [-1, -28]], [[-1, 26], [-1, -26]], [[-1, 32], [-1, -32]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 40], [-1, -40]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 38], [1, -38]], [[-1, 12], [-1, -12]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[1, 18], [1, -18]], [[-1, 32], [-1, -32]], [[-1, 8], [-1, -8]], [[1, 17], [1, -17]], [[-1, 7], [-1, -7]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[-1, 25], [-1, -25]], [[1, 11], [1, -11]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 7], [1, -7]], [[-1, 29], [-1, -29]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 11], [-1, -11]], [[-1, 39], [-1, -39]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 29], [1, -29]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 39], [1, -39]], [[-1, 3], [-1, -3]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 21], [-1, -21]], [[1, 15], [1, -15]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[1, 3], [1, -3]], [[-1, 33], [-1, -33]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, -15]], [[-1, 35], [-1, -35]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 33], [1, -33]], [[-1, 9], [-1, -9]], [[1, 17], [1, -17]], [[1, 25], [1, -25]], [[1, 9], [1, -9]], [[1, 35], [1, -35]], [[-1, 17], [-1, -17]], [[1, 27], [1, -27]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 9], [1, -9]], [[1, 41], [1, -41]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 27], [-1, -27]], [[-1, 23], [-1, -23]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 41], [-1, -41]], [[1, 5], [1, -5]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[1, 23], [1, -23]], [[-1, 13], [-1, -13]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[-1, 5], [-1, -5]], [[1, 31], [1, -31]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 37], [1, -37]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 31], [-1, -31]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 37], [-1, -37]], [[1, 1], [1, -1]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[1, 19], [1, -19]], [[-1, 17], [-1, -17]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]]]}
  • id: 29742734
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 171, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g35', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 32], [1, -32]], [[1, 28], [1, -28]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 4], [1, -4]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 36], [1, -36]], [[1, 40], [1, -40]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 26], [-1, -26]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 38], [1, -38]], [[1, 42], [1, -42]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 34], [1, -34]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 42], [-1, -42]], [[-1, 40], [-1, -40]], [[1, 32], [1, -32]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 16], [1, -16]], [[1, 40], [1, -40]], [[-1, 34], [-1, -34]], [[1, 30], [1, -30]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 26], [-1, -26]], [[1, 36], [1, -36]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 12], [1, -12]], [[-1, 36], [-1, -36]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[-1, 40], [-1, -40]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 28], [1, -28]], [[-1, 36], [-1, -36]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 38], [-1, -38]], [[1, 26], [1, -26]], [[-1, 28], [-1, -28]], [[1, 22], [1, -22]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 14], [1, -14]], [[-1, 32], [-1, -32]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 42], [1, -42]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 26], [1, -26]], [[-1, 28], [-1, -28]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 23], [1, -23]], [[-1, 17], [-1, -17]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 37], [-1, -37]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 17], [1, -17]], [[1, 29], [1, -29]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 37], [1, -37]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 29], [-1, -29]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 31], [1, -31]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[-1, 35], [-1, -35]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 31], [-1, -31]], [[-1, 15], [-1, -15]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 35], [1, -35]], [[1, 33], [1, -33]], [[-1, 5], [-1, -5]], [[-1, 23], [-1, -23]], [[-1, 33], [-1, -33]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 33], [-1, -33]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[1, 27], [1, -27]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 7], [-1, -7]], [[-1, 39], [-1, -39]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[-1, 27], [-1, -27]], [[-1, 19], [-1, -19]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 39], [1, -39]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[-1, 41], [-1, -41]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[1, 21], [1, -21]], [[1, 25], [1, -25]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[1, 41], [1, -41]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 25], [-1, -25]], [[1, 33], [1, -33]]]}
  • id: 29742735
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 172, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g36', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 32], [1, -32]], [[1, 28], [1, -28]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 4], [1, -4]], [[1, 24], [1, -24]], [[-1, 34], [-1, -34]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 36], [1, -36]], [[1, 40], [1, -40]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 26], [-1, -26]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 38], [1, -38]], [[1, 42], [1, -42]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 34], [1, -34]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 42], [-1, -42]], [[-1, 40], [-1, -40]], [[1, 32], [1, -32]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 16], [1, -16]], [[1, 40], [1, -40]], [[-1, 34], [-1, -34]], [[1, 30], [1, -30]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 26], [-1, -26]], [[1, 36], [1, -36]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 12], [1, -12]], [[-1, 36], [-1, -36]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[-1, 40], [-1, -40]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 28], [1, -28]], [[-1, 36], [-1, -36]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 38], [-1, -38]], [[1, 26], [1, -26]], [[-1, 28], [-1, -28]], [[1, 22], [1, -22]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 14], [1, -14]], [[-1, 32], [-1, -32]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 42], [1, -42]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 26], [1, -26]], [[-1, 28], [-1, -28]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 23], [-1, -23]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 37], [1, -37]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 17], [-1, -17]], [[-1, 29], [-1, -29]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 37], [-1, -37]], [[-1, 9], [-1, -9]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 29], [1, -29]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 31], [-1, -31]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 35], [1, -35]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 31], [1, -31]], [[1, 15], [1, -15]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 35], [-1, -35]], [[-1, 33], [-1, -33]], [[1, 5], [1, -5]], [[1, 23], [1, -23]], [[1, 33], [1, -33]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 33], [1, -33]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[-1, 27], [-1, -27]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 39], [1, -39]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[1, 27], [1, -27]], [[1, 19], [1, -19]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 39], [-1, -39]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 19], [-1, -19]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[1, 41], [1, -41]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, -25]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[-1, 41], [-1, -41]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 25], [1, -25]], [[-1, 33], [-1, -33]]]}
  • id: 29742736
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 173, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g37', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 28], [1, -28]], [[1, 24], [1, -24]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[1, 40], [1, -40]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 32], [1, -32]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[-1, 30], [-1, -30]], [[-1, 34], [-1, -34]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 8], [1, -8]], [[1, 38], [1, -38]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[1, 14], [1, -14]], [[1, 26], [1, -26]], [[-1, 36], [-1, -36]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[-1, 40], [-1, -40]], [[-1, 32], [-1, -32]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 24], [1, -24]], [[-1, 6], [-1, -6]], [[1, 40], [1, -40]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 30], [-1, -30]], [[1, 4], [1, -4]], [[1, 42], [1, -42]], [[-1, 38], [-1, -38]], [[1, 20], [1, -20]], [[1, 32], [1, -32]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[-1, 28], [-1, -28]], [[-1, 34], [-1, -34]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 30], [1, -30]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[-1, 22], [-1, -22]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[1, 34], [1, -34]], [[1, 36], [1, -36]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 38], [1, -38]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 32], [-1, -32]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[-1, 28], [-1, -28]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[1, 41], [1, -41]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 13], [-1, -13]], [[-1, 17], [-1, -17]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 41], [-1, -41]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[-1, 39], [-1, -39]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[1, 39], [1, -39]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[1, 37], [1, -37]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, -21]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[-1, 37], [-1, -37]], [[-1, 29], [-1, -29]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[1, 29], [1, -29]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 29], [1, -29]], [[-1, 27], [-1, -27]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 31], [1, -31]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 27], [1, -27]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 31], [-1, -31]], [[1, 25], [1, -25]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 33], [-1, -33]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 33], [1, -33]], [[-1, 23], [-1, -23]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 35], [1, -35]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[1, 23], [1, -23]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 35], [-1, -35]], [[-1, 29], [-1, -29]]]}
  • id: 29742737
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 174, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g38', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 28], [1, -28]], [[1, 24], [1, -24]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 36], [1, -36]], [[1, 40], [1, -40]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 32], [1, -32]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[-1, 30], [-1, -30]], [[-1, 34], [-1, -34]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 42], [-1, -42]], [[-1, 38], [-1, -38]], [[1, 8], [1, -8]], [[1, 38], [1, -38]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[1, 14], [1, -14]], [[1, 26], [1, -26]], [[-1, 36], [-1, -36]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[-1, 40], [-1, -40]], [[-1, 32], [-1, -32]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 24], [1, -24]], [[-1, 6], [-1, -6]], [[1, 40], [1, -40]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 30], [-1, -30]], [[1, 4], [1, -4]], [[1, 42], [1, -42]], [[-1, 38], [-1, -38]], [[1, 20], [1, -20]], [[1, 32], [1, -32]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[-1, 28], [-1, -28]], [[-1, 34], [-1, -34]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 30], [1, -30]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[-1, 22], [-1, -22]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[1, 34], [1, -34]], [[1, 36], [1, -36]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 38], [1, -38]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 32], [-1, -32]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 34], [1, -34]], [[-1, 28], [-1, -28]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[-1, 41], [-1, -41]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 41], [1, -41]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[1, 39], [1, -39]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[-1, 39], [-1, -39]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[-1, 37], [-1, -37]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[1, 21], [1, -21]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[1, 37], [1, -37]], [[1, 29], [1, -29]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[-1, 29], [-1, -29]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 29], [-1, -29]], [[1, 27], [1, -27]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 31], [-1, -31]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 27], [-1, -27]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 31], [1, -31]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 33], [1, -33]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[1, 25], [1, -25]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 33], [-1, -33]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 35], [-1, -35]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[-1, 23], [-1, -23]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 35], [1, -35]], [[1, 29], [1, -29]]]}
  • id: 29742738
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 175, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g39', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[1, 40], [1, -40]], [[-1, 38], [-1, -38]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[1, 36], [1, -36]], [[-1, 42], [-1, -42]], [[-1, 18], [-1, -18]], [[1, 20], [1, -20]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 30], [-1, -30]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[-1, 34], [-1, -34]], [[-1, 32], [-1, -32]], [[1, 38], [1, -38]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 38], [1, -38]], [[-1, 40], [-1, -40]], [[-1, 24], [-1, -24]], [[1, 22], [1, -22]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 36], [-1, -36]], [[1, 26], [1, -26]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[-1, 26], [-1, -26]], [[-1, 28], [-1, -28]], [[1, 32], [1, -32]], [[-1, 42], [-1, -42]], [[1, 36], [1, -36]], [[1, 34], [1, -34]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[-1, 34], [-1, -34]], [[-1, 20], [-1, -20]], [[-1, 10], [-1, -10]], [[1, 42], [1, -42]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 38], [-1, -38]], [[1, 6], [1, -6]], [[1, 24], [1, -24]], [[1, 30], [1, -30]], [[1, 14], [1, -14]], [[-1, 32], [-1, -32]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 36], [-1, -36]], [[-1, 16], [-1, -16]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 30], [1, -30]], [[1, 14], [1, -14]], [[-1, 19], [-1, -19]], [[-1, 23], [-1, -23]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 33], [-1, -33]], [[1, 13], [1, -13]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 23], [1, -23]], [[-1, 3], [-1, -3]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 3], [1, -3]], [[-1, 17], [-1, -17]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[-1, 7], [-1, -7]], [[1, 27], [1, -27]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 17], [1, -17]], [[-1, 37], [-1, -37]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 27], [-1, -27]], [[-1, 39], [-1, -39]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 37], [1, -37]], [[1, 29], [1, -29]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 39], [1, -39]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[1, 33], [1, -33]], [[1, 5], [1, -5]], [[-1, 29], [-1, -29]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 5], [1, -5]], [[-1, 25], [-1, -25]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 15], [-1, -15]], [[1, 35], [1, -35]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 25], [1, -25]], [[1, 41], [1, -41]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 35], [-1, -35]], [[-1, 31], [-1, -31]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 41], [-1, -41]], [[1, 21], [1, -21]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 31], [1, -31]], [[-1, 11], [-1, -11]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[-1, 21], [-1, -21]], [[1, 1], [1, -1]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[-1, 1], [-1, -1]], [[1, 19], [1, -19]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]]]}
  • id: 29742700
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 140, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g4', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[1, 32], [1, -32]], [[-1, 30], [-1, -30]], [[1, 36], [1, -36]], [[-1, 38], [-1, -38]], [[-1, 18], [-1, -18]], [[1, 20], [1, -20]], [[-1, 34], [-1, -34]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[-1, 26], [-1, -26]], [[1, 40], [1, -40]], [[-1, 42], [-1, -42]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 38], [1, -38]], [[1, 34], [1, -34]], [[-1, 20], [-1, -20]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, -22]], [[-1, 38], [-1, -38]], [[-1, 28], [-1, -28]], [[1, 12], [1, -12]], [[1, 40], [1, -40]], [[1, 20], [1, -20]], [[-1, 40], [-1, -40]], [[-1, 6], [-1, -6]], [[1, 28], [1, -28]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 42], [-1, -42]], [[1, 8], [1, -8]], [[-1, 34], [-1, -34]], [[1, 14], [1, -14]], [[-1, 26], [-1, -26]], [[-1, 8], [-1, -8]], [[-1, 40], [-1, -40]], [[1, 4], [1, -4]], [[-1, 28], [-1, -28]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 32], [1, -32]], [[-1, 8], [-1, -8]], [[1, 36], [1, -36]], [[1, 26], [1, -26]], [[-1, 18], [-1, -18]], [[1, 42], [1, -42]], [[-1, 32], [-1, -32]], [[-1, 24], [-1, -24]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[1, 38], [1, -38]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[1, 42], [1, -42]], [[-1, 32], [-1, -32]], [[1, 25], [1, -25]], [[1, 15], [1, -15]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 29], [1, -29]], [[-1, 1], [-1, -1]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[-1, 15], [-1, -15]], [[1, 13], [1, -13]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[1, 1], [1, -1]], [[-1, 27], [-1, -27]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[-1, 13], [-1, -13]], [[1, 41], [1, -41]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 27], [1, -27]], [[1, 31], [1, -31]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 41], [-1, -41]], [[-1, 17], [-1, -17]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 31], [-1, -31]], [[1, 3], [1, -3]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 17], [1, -17]], [[-1, 11], [-1, -11]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 25], [1, -25]], [[-1, 29], [-1, -29]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[-1, 25], [-1, -25]], [[1, 21], [1, -21]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[1, 7], [1, -7]], [[-1, 35], [-1, -35]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 21], [-1, -21]], [[-1, 37], [-1, -37]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 35], [1, -35]], [[1, 23], [1, -23]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 37], [1, -37]], [[-1, 9], [-1, -9]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 23], [-1, -23]], [[1, 5], [1, -5]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 9], [1, -9]], [[-1, 19], [-1, -19]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 5], [-1, -5]], [[1, 33], [1, -33]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 19], [1, -19]], [[1, 39], [1, -39]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 33], [-1, -33]], [[-1, 25], [-1, -25]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 39], [-1, -39]], [[-1, 7], [-1, -7]]]}
  • id: 29742739
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 176, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g40', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[1, 40], [1, -40]], [[-1, 38], [-1, -38]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 26], [-1, -26]], [[1, 36], [1, -36]], [[-1, 42], [-1, -42]], [[-1, 18], [-1, -18]], [[1, 20], [1, -20]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 30], [-1, -30]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[-1, 34], [-1, -34]], [[-1, 32], [-1, -32]], [[1, 38], [1, -38]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 38], [1, -38]], [[-1, 40], [-1, -40]], [[-1, 24], [-1, -24]], [[1, 22], [1, -22]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 36], [-1, -36]], [[1, 26], [1, -26]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[1, 40], [1, -40]], [[1, 28], [1, -28]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[-1, 26], [-1, -26]], [[-1, 28], [-1, -28]], [[1, 32], [1, -32]], [[-1, 42], [-1, -42]], [[1, 36], [1, -36]], [[1, 34], [1, -34]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[-1, 34], [-1, -34]], [[-1, 20], [-1, -20]], [[-1, 10], [-1, -10]], [[1, 42], [1, -42]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 38], [-1, -38]], [[1, 6], [1, -6]], [[1, 24], [1, -24]], [[1, 30], [1, -30]], [[1, 14], [1, -14]], [[-1, 32], [-1, -32]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 36], [-1, -36]], [[-1, 16], [-1, -16]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 30], [1, -30]], [[1, 14], [1, -14]], [[1, 19], [1, -19]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 33], [1, -33]], [[-1, 13], [-1, -13]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 23], [-1, -23]], [[1, 3], [1, -3]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[1, 13], [1, -13]], [[-1, 7], [-1, -7]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 3], [-1, -3]], [[1, 17], [1, -17]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[1, 7], [1, -7]], [[-1, 27], [-1, -27]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, -17]], [[1, 37], [1, -37]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 27], [1, -27]], [[1, 39], [1, -39]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 37], [-1, -37]], [[-1, 29], [-1, -29]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 39], [-1, -39]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[-1, 33], [-1, -33]], [[-1, 5], [-1, -5]], [[1, 29], [1, -29]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, -15]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 5], [-1, -5]], [[1, 25], [1, -25]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[-1, 35], [-1, -35]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 25], [-1, -25]], [[-1, 41], [-1, -41]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 35], [1, -35]], [[1, 31], [1, -31]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 41], [1, -41]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 31], [-1, -31]], [[1, 11], [1, -11]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[1, 21], [1, -21]], [[-1, 1], [-1, -1]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[1, 1], [1, -1]], [[-1, 19], [-1, -19]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]]]}
  • id: 29742740
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 177, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g41', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 38], [-1, -38]], [[1, 8], [1, -8]], [[1, 36], [1, -36]], [[1, 20], [1, -20]], [[1, 24], [1, -24]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 42], [-1, -42]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 34], [-1, -34]], [[-1, 10], [-1, -10]], [[1, 40], [1, -40]], [[-1, 2], [-1, -2]], [[1, 28], [1, -28]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 26], [-1, -26]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 32], [-1, -32]], [[1, 6], [1, -6]], [[1, 42], [1, -42]], [[1, 18], [1, -18]], [[1, 30], [1, -30]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[1, 32], [1, -32]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 42], [-1, -42]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 30], [-1, -30]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 26], [1, -26]], [[1, 28], [1, -28]], [[-1, 34], [-1, -34]], [[-1, 6], [-1, -6]], [[1, 38], [1, -38]], [[1, 40], [1, -40]], [[1, 34], [1, -34]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[1, 10], [1, -10]], [[-1, 38], [-1, -38]], [[1, 22], [1, -22]], [[1, 36], [1, -36]], [[1, 34], [1, -34]], [[1, 24], [1, -24]], [[-1, 40], [-1, -40]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[-1, 36], [-1, -36]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 18], [1, -18]], [[-1, 8], [-1, -8]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[-1, 32], [-1, -32]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[1, 38], [1, -38]], [[-1, 28], [-1, -28]], [[-1, 36], [-1, -36]], [[-1, 31], [-1, -31]], [[1, 33], [1, -33]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 33], [-1, -33]], [[-1, 23], [-1, -23]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 15], [-1, -15]], [[-1, 25], [-1, -25]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[1, 25], [1, -25]], [[1, 35], [1, -35]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 35], [-1, -35]], [[1, 41], [1, -41]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 41], [-1, -41]], [[-1, 19], [-1, -19]], [[-1, 31], [-1, -31]], [[-1, 5], [-1, -5]], [[1, 19], [1, -19]], [[-1, 7], [-1, -7]], [[1, 31], [1, -31]], [[-1, 29], [-1, -29]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 29], [1, -29]], [[1, 39], [1, -39]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 39], [-1, -39]], [[1, 37], [1, -37]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 37], [-1, -37]], [[-1, 27], [-1, -27]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[-1, 11], [-1, -11]], [[-1, 21], [-1, -21]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 27], [1, -27]], [[1, 17], [1, -17]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[1, 21], [1, -21]], [[1, 31], [1, -31]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]]]}
  • id: 29742741
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 178, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g42', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 38], [-1, -38]], [[1, 8], [1, -8]], [[1, 36], [1, -36]], [[1, 20], [1, -20]], [[1, 24], [1, -24]], [[1, 32], [1, -32]], [[1, 12], [1, -12]], [[-1, 42], [-1, -42]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 34], [-1, -34]], [[-1, 10], [-1, -10]], [[1, 40], [1, -40]], [[-1, 2], [-1, -2]], [[1, 28], [1, -28]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 26], [-1, -26]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 32], [-1, -32]], [[1, 6], [1, -6]], [[1, 42], [1, -42]], [[1, 18], [1, -18]], [[1, 30], [1, -30]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[1, 32], [1, -32]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 42], [-1, -42]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 30], [-1, -30]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 26], [1, -26]], [[1, 28], [1, -28]], [[-1, 34], [-1, -34]], [[-1, 6], [-1, -6]], [[1, 38], [1, -38]], [[1, 40], [1, -40]], [[1, 34], [1, -34]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[1, 10], [1, -10]], [[-1, 38], [-1, -38]], [[1, 22], [1, -22]], [[1, 36], [1, -36]], [[1, 34], [1, -34]], [[1, 24], [1, -24]], [[-1, 40], [-1, -40]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[-1, 36], [-1, -36]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 18], [1, -18]], [[-1, 8], [-1, -8]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[1, 42], [1, -42]], [[-1, 32], [-1, -32]], [[1, 26], [1, -26]], [[-1, 40], [-1, -40]], [[1, 38], [1, -38]], [[-1, 28], [-1, -28]], [[-1, 36], [-1, -36]], [[1, 31], [1, -31]], [[-1, 33], [-1, -33]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 33], [1, -33]], [[1, 23], [1, -23]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 15], [1, -15]], [[1, 25], [1, -25]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 23], [-1, -23]], [[-1, 13], [-1, -13]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[-1, 25], [-1, -25]], [[-1, 35], [-1, -35]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 35], [1, -35]], [[-1, 41], [-1, -41]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 41], [1, -41]], [[1, 19], [1, -19]], [[1, 31], [1, -31]], [[1, 5], [1, -5]], [[-1, 19], [-1, -19]], [[1, 7], [1, -7]], [[-1, 31], [-1, -31]], [[1, 29], [1, -29]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 29], [-1, -29]], [[-1, 39], [-1, -39]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 39], [1, -39]], [[-1, 37], [-1, -37]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 37], [1, -37]], [[1, 27], [1, -27]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[1, 11], [1, -11]], [[1, 21], [1, -21]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 27], [-1, -27]], [[-1, 17], [-1, -17]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[-1, 21], [-1, -21]], [[-1, 31], [-1, -31]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 17], [1, -17]], [[1, 19], [1, -19]]]}
  • id: 29742701
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 141, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g5', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 34], [-1, -34]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 36], [1, -36]], [[-1, 26], [-1, -26]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 42], [-1, -42]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 38], [-1, -38]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[-1, 22], [-1, -22]], [[-1, 40], [-1, -40]], [[1, 26], [1, -26]], [[1, 10], [1, -10]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[1, 26], [1, -26]], [[-1, 36], [-1, -36]], [[1, 30], [1, -30]], [[1, 6], [1, -6]], [[-1, 28], [-1, -28]], [[-1, 24], [-1, -24]], [[1, 2], [1, -2]], [[-1, 32], [-1, -32]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[-1, 38], [-1, -38]], [[1, 24], [1, -24]], [[1, 38], [1, -38]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[1, 32], [1, -32]], [[-1, 8], [-1, -8]], [[1, 40], [1, -40]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[-1, 42], [-1, -42]], [[1, 28], [1, -28]], [[1, 34], [1, -34]], [[-1, 14], [-1, -14]], [[1, 42], [1, -42]], [[1, 38], [1, -38]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[-1, 34], [-1, -34]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 42], [1, -42]], [[-1, 26], [-1, -26]], [[1, 14], [1, -14]], [[-1, 30], [-1, -30]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 40], [-1, -40]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 20], [-1, -20]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 34], [1, -34]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[1, 25], [1, -25]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[1, 9], [1, -9]], [[1, 27], [1, -27]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, -25]], [[-1, 7], [-1, -7]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[-1, 27], [-1, -27]], [[1, 41], [1, -41]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 41], [-1, -41]], [[-1, 23], [-1, -23]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[-1, 11], [-1, -11]], [[-1, 29], [-1, -29]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 29], [1, -29]], [[-1, 39], [-1, -39]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, -5]], [[1, 17], [1, -17]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[1, 39], [1, -39]], [[1, 13], [1, -13]], [[1, 35], [1, -35]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 35], [-1, -35]], [[1, 33], [1, -33]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 1], [1, -1]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 33], [-1, -33]], [[-1, 15], [-1, -15]], [[-1, 41], [-1, -41]], [[1, 41], [1, -41]], [[-1, 19], [-1, -19]], [[-1, 37], [-1, -37]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[1, 37], [1, -37]], [[-1, 31], [-1, -31]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 31], [1, -31]], [[1, 13], [1, -13]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[1, 21], [1, -21]], [[1, 17], [1, -17]]]}
  • id: 29742702
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 142, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g6', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 34], [-1, -34]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 36], [1, -36]], [[-1, 26], [-1, -26]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 42], [-1, -42]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 38], [-1, -38]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 40], [1, -40]], [[-1, 22], [-1, -22]], [[-1, 40], [-1, -40]], [[1, 26], [1, -26]], [[1, 10], [1, -10]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[1, 26], [1, -26]], [[-1, 36], [-1, -36]], [[1, 30], [1, -30]], [[1, 6], [1, -6]], [[-1, 28], [-1, -28]], [[-1, 24], [-1, -24]], [[1, 2], [1, -2]], [[-1, 32], [-1, -32]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 36], [1, -36]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[-1, 38], [-1, -38]], [[1, 24], [1, -24]], [[1, 38], [1, -38]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[1, 32], [1, -32]], [[-1, 8], [-1, -8]], [[1, 40], [1, -40]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[-1, 42], [-1, -42]], [[1, 28], [1, -28]], [[1, 34], [1, -34]], [[-1, 14], [-1, -14]], [[1, 42], [1, -42]], [[1, 38], [1, -38]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[-1, 34], [-1, -34]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 42], [1, -42]], [[-1, 26], [-1, -26]], [[1, 14], [1, -14]], [[-1, 30], [-1, -30]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 40], [-1, -40]], [[-1, 28], [-1, -28]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 20], [-1, -20]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[-1, 24], [-1, -24]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[1, 34], [1, -34]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 13], [1, -13]], [[-1, 25], [-1, -25]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[-1, 9], [-1, -9]], [[-1, 27], [-1, -27]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 25], [1, -25]], [[1, 7], [1, -7]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[1, 27], [1, -27]], [[-1, 41], [-1, -41]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 41], [1, -41]], [[1, 23], [1, -23]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[1, 11], [1, -11]], [[1, 29], [1, -29]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 29], [-1, -29]], [[1, 39], [1, -39]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[-1, 17], [-1, -17]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[-1, 39], [-1, -39]], [[-1, 13], [-1, -13]], [[-1, 35], [-1, -35]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 35], [1, -35]], [[-1, 33], [-1, -33]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 1], [-1, -1]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 33], [1, -33]], [[1, 15], [1, -15]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[1, 19], [1, -19]], [[1, 37], [1, -37]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[-1, 37], [-1, -37]], [[1, 31], [1, -31]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 31], [-1, -31]], [[-1, 13], [-1, -13]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, -17]]]}
  • id: 29742703
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 143, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g7', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[1, 40], [1, -40]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 34], [-1, -34]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 32], [1, -32]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 38], [-1, -38]], [[1, 30], [1, -30]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 42], [1, -42]], [[1, 26], [1, -26]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 26], [-1, -26]], [[-1, 8], [-1, -8]], [[1, 28], [1, -28]], [[1, 36], [1, -36]], [[-1, 18], [-1, -18]], [[-1, 36], [-1, -36]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[-1, 34], [-1, -34]], [[1, 20], [1, -20]], [[1, 38], [1, -38]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[-1, 4], [-1, -4]], [[1, 32], [1, -32]], [[1, 10], [1, -10]], [[-1, 36], [-1, -36]], [[-1, 38], [-1, -38]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 34], [1, -34]], [[1, 40], [1, -40]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 32], [-1, -32]], [[-1, 42], [-1, -42]], [[-1, 12], [-1, -12]], [[-1, 40], [-1, -40]], [[1, 30], [1, -30]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, -28]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 26], [1, -26]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 40], [-1, -40]], [[-1, 1], [-1, -1]], [[-1, 35], [-1, -35]], [[-1, 37], [-1, -37]], [[1, 37], [1, -37]], [[1, 39], [1, -39]], [[-1, 31], [-1, -31]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[1, 35], [1, -35]], [[-1, 27], [-1, -27]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 31], [1, -31]], [[-1, 23], [-1, -23]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 27], [1, -27]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 23], [1, -23]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 41], [1, -41]], [[-1, 1], [-1, -1]], [[-1, 39], [-1, -39]], [[-1, 41], [-1, -41]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 37], [1, -37]], [[1, 39], [1, -39]], [[-1, 39], [-1, -39]], [[-1, 41], [-1, -41]], [[1, 33], [1, -33]], [[1, 35], [1, -35]], [[-1, 35], [-1, -35]], [[-1, 37], [-1, -37]], [[1, 29], [1, -29]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[-1, 33], [-1, -33]], [[1, 25], [1, -25]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 29], [-1, -29]], [[1, 21], [1, -21]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 25], [-1, -25]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 41], [1, -41]]]}
  • id: 29742704
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 144, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g8', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[1, 40], [1, -40]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 26], [-1, -26]], [[-1, 42], [-1, -42]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 34], [-1, -34]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 32], [1, -32]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 38], [-1, -38]], [[1, 30], [1, -30]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 42], [1, -42]], [[-1, 28], [-1, -28]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 42], [1, -42]], [[1, 26], [1, -26]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[1, 34], [1, -34]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 26], [-1, -26]], [[-1, 8], [-1, -8]], [[1, 28], [1, -28]], [[1, 36], [1, -36]], [[-1, 18], [-1, -18]], [[-1, 36], [-1, -36]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[-1, 34], [-1, -34]], [[1, 20], [1, -20]], [[1, 38], [1, -38]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[-1, 4], [-1, -4]], [[1, 32], [1, -32]], [[1, 10], [1, -10]], [[-1, 36], [-1, -36]], [[-1, 38], [-1, -38]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 34], [1, -34]], [[1, 40], [1, -40]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 32], [-1, -32]], [[-1, 42], [-1, -42]], [[-1, 12], [-1, -12]], [[-1, 40], [-1, -40]], [[1, 30], [1, -30]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, -28]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 26], [1, -26]], [[1, 38], [1, -38]], [[-1, 32], [-1, -32]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 40], [-1, -40]], [[1, 1], [1, -1]], [[1, 35], [1, -35]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[-1, 39], [-1, -39]], [[1, 31], [1, -31]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 35], [-1, -35]], [[1, 27], [1, -27]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 31], [-1, -31]], [[1, 23], [1, -23]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 27], [-1, -27]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 23], [-1, -23]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 41], [-1, -41]], [[1, 1], [1, -1]], [[1, 39], [1, -39]], [[1, 41], [1, -41]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 37], [-1, -37]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[1, 41], [1, -41]], [[-1, 33], [-1, -33]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[1, 37], [1, -37]], [[-1, 29], [-1, -29]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[1, 33], [1, -33]], [[-1, 25], [-1, -25]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 29], [1, -29]], [[-1, 21], [-1, -21]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 25], [1, -25]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 41], [-1, -41]]]}
  • id: 29742705
    {'center': '172.a1.a1', 'center_index': 172, 'center_order': 4, 'counter': 145, 'cyclotomic_n': 172, 'dim': 2, 'faithful': False, 'field': [-43, 0, 3311, 0, -76153, 0, 826804, 0, -5167525, 0, 20764055, 0, -57500460, 0, 115000920, 0, -171655785, 0, 195747825, 0, -173376645, 0, 120609840, 0, -66335412, 0, 28915436, 0, -9970840, 0, 2701776, 0, -567987, 0, 90687, 0, -10621, 0, 860, 0, -43, 0, 1], 'group': '688.11', 'group_counter': 11, 'group_order': 688, 'image': None, 'image_isoclass': '344.3', 'image_order': 344, 'indicator': -1, 'kernel': '344.b1.a1', 'kernel_order': 2, 'label': '688.11.2g9', 'nt': [344, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 42], [-1, -42]], [[1, 36], [1, -36]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 22], [-1, -22]], [[1, 28], [1, -28]], [[1, 32], [1, -32]], [[-1, 26], [-1, -26]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 38], [-1, -38]], [[-1, 30], [-1, -30]], [[1, 24], [1, -24]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 34], [-1, -34]], [[1, 40], [1, -40]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 32], [-1, -32]], [[-1, 36], [-1, -36]], [[1, 22], [1, -22]], [[-1, 4], [-1, -4]], [[-1, 32], [-1, -32]], [[-1, 28], [-1, -28]], [[-1, 16], [-1, -16]], [[1, 26], [1, -26]], [[1, 38], [1, -38]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 28], [1, -28]], [[1, 2], [1, -2]], [[1, 36], [1, -36]], [[-1, 34], [-1, -34]], [[-1, 26], [-1, -26]], [[1, 34], [1, -34]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, -30]], [[-1, 38], [-1, -38]], [[-1, 12], [-1, -12]], [[1, 40], [1, -40]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[1, 42], [1, -42]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 34], [1, -34]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[-1, 42], [-1, -42]], [[1, 30], [1, -30]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[-1, 8], [-1, -8]], [[1, 32], [1, -32]], [[-1, 40], [-1, -40]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 38], [1, -38]], [[-1, 36], [-1, -36]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 26], [1, -26]], [[-1, 28], [-1, -28]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 42], [1, -42]], [[-1, 40], [-1, -40]], [[1, 10], [1, -10]], [[-1, 11], [-1, -11]], [[-1, 41], [-1, -41]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 41], [1, -41]], [[1, 39], [1, -39]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 39], [-1, -39]], [[-1, 37], [-1, -37]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 37], [1, -37]], [[1, 35], [1, -35]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 35], [-1, -35]], [[-1, 33], [-1, -33]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 33], [1, -33]], [[1, 11], [1, -11]], [[-1, 23], [-1, -23]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 41], [1, -41]], [[-1, 41], [-1, -41]], [[1, 23], [1, -23]], [[1, 25], [1, -25]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[-1, 17], [-1, -17]], [[-1, 39], [-1, -39]], [[1, 39], [1, -39]], [[-1, 25], [-1, -25]], [[-1, 27], [-1, -27]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 37], [1, -37]], [[-1, 37], [-1, -37]], [[1, 27], [1, -27]], [[1, 29], [1, -29]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 35], [-1, -35]], [[1, 35], [1, -35]], [[-1, 29], [-1, -29]], [[-1, 31], [-1, -31]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[1, 31], [1, -31]], [[-1, 21], [-1, -21]]]}
• 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: 110562697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 688, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 86, 'label': '688.11.1.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': '688.11', 'subgroup_hash': 11, 'subgroup_order': 688, 'subgroup_tex': 'C_{86}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110562708
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 344, 'characteristic': True, 'core_order': 344, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '688.11.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '344.8', 'subgroup_hash': 8, 'subgroup_order': 344, 'subgroup_tex': 'C_2\\times C_{172}', 'supersolvable': True, 'sylow': 0}
  • id: 110562716
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 344, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '688.11.2.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': '344.6', 'subgroup_hash': 6, 'subgroup_order': 344, 'subgroup_tex': 'C_{86}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110562717
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 344, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '688.11.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.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': '344.6', 'subgroup_hash': 6, 'subgroup_order': 344, 'subgroup_tex': 'C_{86}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110562718
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 344, 'characteristic': True, 'core_order': 172, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '688.11.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '172.4', 'subgroup_hash': 4, 'subgroup_order': 172, 'subgroup_tex': 'C_2\\times C_{86}', 'supersolvable': True, 'sylow': 0}
  • id: 110562719
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 172, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '688.11.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '172.1', 'subgroup_hash': 1, 'subgroup_order': 172, 'subgroup_tex': 'C_{43}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110562720
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 172, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '688.11.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.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': '172.1', 'subgroup_hash': 1, 'subgroup_order': 172, 'subgroup_tex': 'C_{43}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110562721
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 344, 'characteristic': False, 'core_order': 86, 'counter': 8, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '688.11.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, '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': '172.2', 'subgroup_hash': 2, 'subgroup_order': 172, 'subgroup_tex': 'C_{172}', 'supersolvable': True, 'sylow': 0}
  • id: 110562722
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 86, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '688.11.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': '172.1', 'subgroup_hash': 1, 'subgroup_order': 172, 'subgroup_tex': 'C_{43}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110562698
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 344, 'characteristic': True, 'core_order': 86, 'counter': 10, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '688.11.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '86.2', 'subgroup_hash': 2, 'subgroup_order': 86, 'subgroup_tex': 'C_{86}', 'supersolvable': True, 'sylow': 0}
  • id: 110562699
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 344, 'characteristic': True, 'core_order': 86, 'counter': 11, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '688.11.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '86.2', 'subgroup_hash': 2, 'subgroup_order': 86, 'subgroup_tex': 'C_{86}', 'supersolvable': True, 'sylow': 0}
  • id: 110562700
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 344, 'characteristic': True, 'core_order': 86, 'counter': 12, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '688.11.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '86.2', 'subgroup_hash': 2, 'subgroup_order': 86, 'subgroup_tex': 'C_{86}', 'supersolvable': True, 'sylow': 0}
  • id: 110562701
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 344, 'characteristic': True, 'core_order': 43, 'counter': 13, 'cyclic': True, 'direct': False, 'hall': 43, 'label': '688.11.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '43.1', 'subgroup_hash': 1, 'subgroup_order': 43, 'subgroup_tex': 'C_{43}', 'supersolvable': True, 'sylow': 43}
  • id: 110562702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '688.11.43.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '43.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': 43, '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': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 2}
  • id: 110562703
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 344, 'characteristic': True, 'core_order': 8, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '688.11.86.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '86.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '86.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 86, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{43}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110562704
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '688.11.86.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '86.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': 86, '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: 110562705
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '688.11.86.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '86.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': 86, '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: 110562706
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 688, 'characteristic': True, 'core_order': 4, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '688.11.172.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '172.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '172.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 172, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{86}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110562707
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 19, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '688.11.172.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '172.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': 172, '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: 110562709
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 20, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '688.11.172.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '172.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': 172, '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: 110562710
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 344, 'characteristic': False, 'core_order': 2, 'counter': 21, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '688.11.172.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '172.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': 172, '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: 110562711
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 22, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '688.11.172.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '172.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': 172, '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: 110562712
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 688, 'characteristic': True, 'core_order': 2, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '688.11.344.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '344.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '344.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 344, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{43}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110562713
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 688, 'characteristic': True, 'core_order': 2, 'counter': 24, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '688.11.344.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '344.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '344.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 344, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{43}:Q_8', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110562714
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 688, 'characteristic': True, 'core_order': 2, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '688.11.344.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '344.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '344.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 344, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{43}:D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110562715
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '688.11', 'ambient_counter': 11, 'ambient_order': 688, 'ambient_tex': 'C_{86}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 688, 'characteristic': True, 'core_order': 1, 'counter': 26, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '688.11.688.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '688.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '688.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 688, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{86}.D_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C5'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 110562697
    {'ambient': '688.11', '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': '172.a1.a1', 'complements': ['688.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '43.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3056, 4897, 7194, 4348, 5433, 4797, 4851, 5370], 'generators': [8, 16, 2, 4, 1], 'label': '688.11.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '172.3', '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': '172.3'}
  • id: 110562698
    {'ambient': '688.11', 'aut_centralizer_order': 688, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '42.6', 'aut_weyl_index': 688, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'contains': ['16.a1.a1', '344.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7156, 7909, 2087, 6739, 7197, 7251, 7557, 3019], 'generators': [8, 16], 'label': '688.11.8.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'normal_contains': ['16.a1.a1', '344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '344.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562699
    {'ambient': '688.11', 'aut_centralizer_order': 688, 'aut_label': '8.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '42.6', 'aut_weyl_index': 688, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '344.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6062, 4595, 4121, 5268, 6208, 4004, 5684, 6153], 'generators': [10, 16], 'label': '688.11.8.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '344.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '344.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562700
    {'ambient': '688.11', 'aut_centralizer_order': 688, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '42.6', 'aut_weyl_index': 688, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.c1.a1', '4.d1.a1'], 'contains': ['16.a1.a1', '344.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4497, 6252, 5628, 3796, 3489, 5627, 3285, 4586], 'generators': [2, 16], 'label': '688.11.8.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '344.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '344.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562701
    {'ambient': '688.11', 'aut_centralizer_order': 688, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '42.6', 'aut_weyl_index': 688, 'centralizer': '2.a1.a1', 'complements': ['43.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'contains': ['688.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6621, 6648, 3666, 5619, 6208, 6568, 5684, 3678], 'generators': [16], 'label': '688.11.16.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['688.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '688.11', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562702
    {'ambient': '688.11', 'aut_centralizer_order': 42, 'aut_label': '43.a1', 'aut_quo_index': None, 'aut_stab_index': 43, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1806, 'centralizer': '172.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['86.a1.a1', '86.b1.a1', '86.c1.a1'], 'core': '86.a1.a1', 'coset_action_label': None, 'count': 43, 'diagramx': [2199, -1, 8188, -1, 6174, -1, 5565, -1], 'generators': [1, 4], 'label': '688.11.43.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '43.a1.a1', 'old_label': '43.a1.a1', 'projective_image': '172.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '43.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110562703
    {'ambient': '688.11', 'aut_centralizer_order': 7224, 'aut_label': '86.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7224, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '43.a1.a1'], 'contains': ['172.a1.a1', '172.c1.a1'], 'core': '86.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3739, 1694, 6369, 1288, 4624, 1827, 2730, 8486], 'generators': [1, 8], 'label': '688.11.86.a1.a1', 'mobius_quo': 0, 'mobius_sub': 43, 'normal_closure': '86.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['172.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '86.a1.a1', 'projective_image': '172.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '43.1', 'quotient_action_kernel_order': 43, 'quotient_fusion': None, 'short_label': '86.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562704
    {'ambient': '688.11', 'aut_centralizer_order': 168, 'aut_label': '86.b1', 'aut_quo_index': None, 'aut_stab_index': 43, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7224, 'centralizer': '86.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '43.a1.a1'], 'contains': ['172.a1.a1', '172.b1.a1', '172.b1.b1'], 'core': '172.a1.a1', 'coset_action_label': None, 'count': 43, 'diagramx': [6870, -1, 2924, -1, 7994, -1, 7051, -1], 'generators': [2, 4], 'label': '688.11.86.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '43.a1.a1', 'old_label': '86.b1.a1', 'projective_image': '172.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '86.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562705
    {'ambient': '688.11', 'aut_centralizer_order': 168, 'aut_label': '86.c1', 'aut_quo_index': None, 'aut_stab_index': 43, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7224, 'centralizer': '86.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '43.a1.a1'], 'contains': ['172.a1.a1', '172.d1.a1'], 'core': '172.a1.a1', 'coset_action_label': None, 'count': 43, 'diagramx': [1577, -1, 8451, -1, 3096, -1, 4078, -1], 'generators': [5, 8], 'label': '688.11.86.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '43.a1.a1', 'old_label': '86.c1.a1', 'projective_image': '172.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '86.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562706
    {'ambient': '688.11', 'aut_centralizer_order': 28896, 'aut_label': '172.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28896, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '86.a1.a1', '86.b1.a1', '86.c1.a1'], 'contains': ['344.a1.a1', '344.b1.a1', '344.c1.a1'], 'core': '172.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5292, 3428, 5137, 2760, 5253, 2435, 4841, 7667], 'generators': [2, 8], 'label': '688.11.172.a1.a1', 'mobius_quo': 2, 'mobius_sub': -86, 'normal_closure': '172.a1.a1', 'normal_contained_in': ['4.a1.a1', '86.a1.a1'], 'normal_contains': ['344.a1.a1', '344.b1.a1', '344.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '172.a1.a1', 'projective_image': '172.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '172.3', 'quotient_action_kernel_order': 172, 'quotient_fusion': None, 'short_label': '172.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110562707
    {'ambient': '688.11', 'aut_centralizer_order': 168, 'aut_label': '172.b1', 'aut_quo_index': None, 'aut_stab_index': 86, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14448, 'centralizer': '86.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '86.b1.a1'], 'contains': ['344.a1.a1'], 'core': '344.a1.a1', 'coset_action_label': None, 'count': 43, 'diagramx': [7739, -1, 2446, -1, 8096, -1, 8350, -1], 'generators': [6], 'label': '688.11.172.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '43.a1.a1', 'old_label': '172.b1.a1', 'projective_image': '344.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '172.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562708
    {'ambient': '688.11', 'aut_centralizer_order': 172, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '168.57', 'aut_weyl_index': 172, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '86.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3876, 1450, 6561, 1288, 4691, 1421, 2334, 8629], 'generators': [1, 8, 2, 16], 'label': '688.11.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '86.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '172.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562709
    {'ambient': '688.11', 'aut_centralizer_order': 168, 'aut_label': '172.b1', 'aut_quo_index': None, 'aut_stab_index': 86, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14448, 'centralizer': '86.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '86.b1.a1'], 'contains': ['344.a1.a1'], 'core': '344.a1.a1', 'coset_action_label': None, 'count': 43, 'diagramx': [7739, -1, 3308, -1, 8096, -1, 6764, -1], 'generators': [4], 'label': '688.11.172.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '43.a1.a1', 'old_label': '172.b1.b1', 'projective_image': '344.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '172.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562710
    {'ambient': '688.11', 'aut_centralizer_order': 7224, 'aut_label': '172.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14448, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '86.a1.a1'], 'contains': ['344.c1.a1'], 'core': '344.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3739, -1, 6513, -1, 4388, -1, 2493, -1], 'generators': [1], 'label': '688.11.172.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '86.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '172.c1.a1', 'projective_image': '344.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '172.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110562711
    {'ambient': '688.11', 'aut_centralizer_order': 168, 'aut_label': '172.d1', 'aut_quo_index': None, 'aut_stab_index': 86, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14448, 'centralizer': '86.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '86.c1.a1'], 'contains': ['344.c1.a1'], 'core': '344.c1.a1', 'coset_action_label': None, 'count': 86, 'diagramx': [1577, -1, 8451, -1, 2590, -1, 4078, -1], 'generators': [5], 'label': '688.11.172.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '86.c1.a1', 'old_label': '172.d1.a1', 'projective_image': '344.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '172.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110562712
    {'ambient': '688.11', 'aut_centralizer_order': 28896, 'aut_label': '344.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28896, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '172.a1.a1', '172.b1.a1', '172.b1.b1'], 'contains': ['688.a1.a1'], 'core': '344.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7739, 6140, 3308, 5168, 7152, 5092, 6764, 5102], 'generators': [8], 'label': '688.11.344.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '344.a1.a1', 'normal_contained_in': ['8.a1.a1', '172.a1.a1'], 'normal_contains': ['688.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '344.a1.a1', 'projective_image': '344.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '344.4', 'quotient_action_kernel_order': 344, 'quotient_fusion': None, 'short_label': '344.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110562713
    {'ambient': '688.11', 'aut_centralizer_order': 28896, 'aut_label': '344.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28896, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '172.a1.a1'], 'contains': ['688.a1.a1'], 'core': '344.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6038, 3428, 4623, 3964, 5309, 2435, 4891, 7667], 'generators': [10], 'label': '688.11.344.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '344.b1.a1', 'normal_contained_in': ['8.b1.a1', '172.a1.a1'], 'normal_contains': ['688.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '344.b1.a1', 'projective_image': '344.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '344.3', 'quotient_action_kernel_order': 344, 'quotient_fusion': None, 'short_label': '344.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110562714
    {'ambient': '688.11', 'aut_centralizer_order': 28896, 'aut_label': '344.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28896, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '172.a1.a1', '172.c1.a1', '172.d1.a1'], 'contains': ['688.a1.a1'], 'core': '344.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4547, 4784, 5855, 2760, 4388, 3764, 4078, 6385], 'generators': [2], 'label': '688.11.344.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '344.c1.a1', 'normal_contained_in': ['8.c1.a1', '172.a1.a1'], 'normal_contains': ['688.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '344.c1.a1', 'projective_image': '344.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '344.7', 'quotient_action_kernel_order': 344, 'quotient_fusion': None, 'short_label': '344.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110562715
    {'ambient': '688.11', 'aut_centralizer_order': None, 'aut_label': '688.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '344.a1.a1', '344.b1.a1', '344.c1.a1'], 'contains': [], 'core': '688.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6559, 5462, 4300, 4565, 5759, 4428, 5287, 5744], 'generators': [], 'label': '688.11.688.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '688.a1.a1', 'normal_contained_in': ['16.a1.a1', '344.a1.a1', '344.b1.a1', '344.c1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '688.a1.a1', 'projective_image': '688.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '688.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110562716
    {'ambient': '688.11', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '172.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '86.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7068, 8550, 2972, 7592, 7916, 8376, 7051, 1915], 'generators': [2, 4, 16, 8], 'label': '688.11.2.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.b1.a1', '4.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '172.3', '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': '172.3'}
  • id: 110562717
    {'ambient': '688.11', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '172.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '86.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1093, 4897, 9396, 4348, 2635, 4797, 4148, 5370], 'generators': [5, 8, 16, 2], 'label': '688.11.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '172.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '172.3'}
  • id: 110562718
    {'ambient': '688.11', 'aut_centralizer_order': 688, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '42.6', 'aut_weyl_index': 688, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '172.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5665, 4897, 4874, 4348, 6309, 4797, 5565, 5530], 'generators': [2, 8, 16], 'label': '688.11.4.a1.a1', 'mobius_quo': -2, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '172.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '172.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110562719
    {'ambient': '688.11', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '3612.a', 'aut_weyl_index': 8, 'centralizer': '172.a1.a1', 'complements': ['172.c1.a1', '172.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '172.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8907, 8229, 604, 8712, 9433, 7878, 9499, 3019], 'generators': [6, 8, 16], 'label': '688.11.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '344.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '172.3'}
  • id: 110562720
    {'ambient': '688.11', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '3612.a', 'aut_weyl_index': 8, 'centralizer': '172.a1.a1', 'complements': ['172.c1.a1', '172.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '172.b1.b1'], 'core': '4.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8907, 8229, 2027, 6723, 9433, 7878, 8320, 899], 'generators': [4, 8, 16], 'label': '688.11.4.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.b1', 'projective_image': '344.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': '172.3'}
  • id: 110562721
    {'ambient': '688.11', 'aut_centralizer_order': 172, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '84.15', 'aut_weyl_index': 344, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '172.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4050, -1, 7194, -1, 1781, -1, 391, -1], 'generators': [1, 16, 2], 'label': '688.11.4.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '344.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110562722
    {'ambient': '688.11', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '3612.a', 'aut_weyl_index': 8, 'centralizer': '172.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.a1', '172.d1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1093, -1, 9001, -1, 567, -1, 1462, -1], 'generators': [5, 2, 16], 'label': '688.11.4.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.d1.a1', 'projective_image': '344.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '86.1'}