Abstract group data - 832.40

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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': 156, 'aut_gen_orders': [4, 12, 12, 12, 2, 12, 52, 12], 'aut_gens': [[1, 2, 16], [13, 246, 400], [625, 154, 304], [213, 322, 240], [213, 538, 688], [5, 550, 400], [9, 486, 528], [1, 598, 16], [5, 778, 528]], 'aut_group': None, 'aut_hash': 1502759049758880875, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 39936, 'aut_permdeg': 224, 'aut_perms': [39808145586404936808275344480693214821288522560626782139427124338629256237437210148161589676907377602402658211815906740176286023727273191386661080515691770120556316438708787339422551967698212949833547433972034598848530643086432563454268667295893055861228289944095750548680138234300789032231560913550807864410929049074563022082977563368642923717601313762015709284045322515572017542010879863016117919536896752335170163399390056840040, 10641300605919058346015155843060963461232380735511910928064600600003517794780443202536506543820179095119371537979804941355650286121774118960667967765385544907108396390691003818467692764249087326057613258862027052312709089602646624799004814569186466521867083731564608311319604029050915858872522699499645333307477511038721119931127530446017510454226741402214949155100709652817708477310239263802876184595335476751558537375897765048669, 12744416873030267919489857616367958588557127696225825391477641418879830267758914251128441286562588615761891573557336602388101950844841536244432443973105308374646874394549031597963917613376499637557695685892507128647074385115682277579242661274300819096372534841494022455547544244622220913665612312674618480612759796878699812140142988941911295591517694397966805103063762721510232606233423233081534237191092728165234272851953535134534, 12744099999370148166898633819973747545013263323030115419480080445832785964697464463052831242656977917108726623683657779488349354824127556448177910197812677880466973371181589792498379035435330781600742062400901429530903145814786122251372211911710838638211064576961847141896726721977853966380579954845413560973199160637196613738409197182040280269512034444440816864828953794633286998609430682765898515738965709997798404848421923922284, 51747184863718433177680272689725080352791019253260955352056359659367881475695707392216497330249342994068037598359985431051026181692380043702621108980626708660013007664562377090240949504695035276699416855197058228280370804254524121887624801558984358130534186662019487036485410678875152053115760222366151057513484872222943210447001023834888929428982934906224388760940686953400341923851328415910602344262594966221008680705556028197674, 43979851830524772926349243174000185950462290488588956964799893415143203454856657145613164364489747138674003005947240000920575627030452445561841870870044275288252029039738466810614743572792496669261140398805542006936462541084176077042068446903092441151432440060362242499332811736634816198168828719192180915391505489518053861413453255182113133587462343993253553682933487436772835022090240797162738038102677077568628803668204474845626, 56484232675411243495622528789189678213834981043334614796295039230406873017363816768102006690302009804101947939101767647329996896817689255665307373656341925740022228549883203296067445224876004118534325889442807222213039915439632007379352663932936976752656668791653788538697286706020650397085639164655194541425458830105414564758944253355769239698646475242745747666854637540759734618003723329185988106175401757250151368397998593928, 51801171190199751950040026134141468665643718804919604695819701215934264411403013623402566490838041899388775847623524210071377158797948715741450159156484057378929270809942957051089481893939309315945146765731823476991459162718930579584011042185519528739081314998318427588750904216543469992569135530183806250618199975622288585930967531227910391721625356894482123718678279761638505629065093848263633735582222070135061547670245269486900], 'aut_phi_ratio': 104.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 2, 1, 4], [4, 4, 1, 1], [4, 104, 2, 1], [8, 4, 4, 1], [8, 52, 4, 1], [13, 2, 6, 1], [26, 2, 6, 3], [52, 2, 12, 2], [52, 4, 6, 2], [52, 4, 12, 1], [104, 4, 48, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{26}.(C_2^3\\times C_6).C_2^5', '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': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 156, 'autcentquo_group': '2496.n', 'autcentquo_hash': 8594030535757531870, 'autcentquo_nilpotent': False, 'autcentquo_order': 2496, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^4\\times F_{13}', 'cc_stats': [[1, 1, 1], [2, 1, 3], [4, 2, 4], [4, 4, 1], [4, 104, 2], [8, 4, 4], [8, 52, 4], [13, 2, 6], [26, 2, 18], [52, 2, 24], [52, 4, 24], [104, 4, 48]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '208.14', 'commutator_count': 1, 'commutator_label': '104.9', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '13.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 40, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 2, 1, 4], [4, 4, 1, 1], [4, 104, 1, 2], [8, 4, 4, 1], [8, 52, 4, 1], [13, 2, 6, 1], [26, 2, 6, 3], [52, 2, 12, 2], [52, 4, 6, 2], [52, 4, 12, 1], [104, 4, 48, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6, 'exponent': 104, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3, 13], 'factors_of_order': [2, 13], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.2', 'frattini_quotient': '52.4', 'hash': 40, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 52, 'inner_gen_orders': [4, 4, 26], 'inner_gens': [[1, 214, 16], [637, 2, 816], [1, 34, 16]], 'inner_hash': 14, 'inner_nilpotent': False, 'inner_order': 208, 'inner_split': True, 'inner_tex': 'D_{26}:C_4', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 106], [4, 25]], 'label': '832.40', 'linC_count': 192, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 20, 'linQ_degree_count': 16, 'linQ_dim': 20, 'linQ_dim_count': 4, 'linR_count': 72, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C52.D8', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 22, 'number_characteristic_subgroups': 31, 'number_conjugacy_classes': 139, 'number_divisions': 23, 'number_normal_subgroups': 33, 'number_subgroup_autclasses': 58, 'number_subgroup_classes': 64, 'number_subgroups': 534, 'old_label': None, 'order': 832, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 3], [4, 220], [8, 224], [13, 12], [26, 36], [52, 144], [104, 192]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 2, 2, 12], 'outer_gen_pows': [0, 0, 0, 208, 0], 'outer_gens': [[417, 2, 400], [1, 10, 400], [625, 2, 816], [1, 626, 400], [9, 2, 720]], 'outer_group': '192.1530', 'outer_hash': 1530, 'outer_nilpotent': True, 'outer_order': 192, 'outer_permdeg': 15, 'outer_perms': [87178291200, 479001600, 3628800, 40320, 2403], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4\\times C_{12}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 29, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 5], [12, 2], [24, 5], [48, 3]], 'representations': {'PC': {'code': 10119329180704989532045966595192746399973387, 'gens': [1, 2, 5], 'pres': [7, -2, -2, -2, -2, -2, -2, -13, 4424, 2997, 36, 254, 58, 14291, 102, 16812, 124, 18829]}, 'Perm': {'d': 29, 'gens': [34310848322449705535593308847, 316615466831350928448759552000, 643297706733147937326074419200, 5245011362810419200, 959835538826526612408238080000, 7817361150241843200, 559571293]}}, '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_{52}.D_8', 'transitive_degree': 832, '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: 141193806
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 40, 'group_order': 832, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 141193857
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 40, 'group_order': 832, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 416, 'size': 1}
  • id: 141193868
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 40, 'group_order': 832, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 8, 'size': 1}
  • id: 141193879
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 40, 'group_order': 832, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 424, 'size': 1}
  • id: 141193890
    {'aut_label': '4A', 'centralizer': '2.b1.a1', 'counter': 5, 'group_counter': 40, 'group_order': 832, 'label': '4A', 'order': 4, 'powers': [2, 5, 5], 'representative': 208, 'size': 2}
  • id: 141193901
    {'aut_label': '4B', 'centralizer': '2.c1.a1', 'counter': 6, 'group_counter': 40, 'group_order': 832, 'label': '4B', 'order': 4, 'powers': [3, 6, 6], 'representative': 4, 'size': 2}
  • id: 141193912
    {'aut_label': '4C', 'centralizer': '2.c1.a1', 'counter': 7, 'group_counter': 40, 'group_order': 832, 'label': '4C', 'order': 4, 'powers': [3, 7, 7], 'representative': 420, 'size': 2}
  • id: 141193923
    {'aut_label': '4D', 'centralizer': '2.b1.a1', 'counter': 8, 'group_counter': 40, 'group_order': 832, 'label': '4D', 'order': 4, 'powers': [2, 8, 8], 'representative': 632, 'size': 2}
  • id: 141193934
    {'aut_label': '4E', 'centralizer': '4.a1.a1', 'counter': 9, 'group_counter': 40, 'group_order': 832, 'label': '4E', 'order': 4, 'powers': [4, 9, 9], 'representative': 212, 'size': 4}
  • id: 141193807
    {'aut_label': '4F', 'centralizer': '104.d1.a1', 'counter': 10, 'group_counter': 40, 'group_order': 832, 'label': '4F', 'order': 4, 'powers': [2, 10, 10], 'representative': 379, 'size': 104}
  • id: 141193818
    {'aut_label': '4F', 'centralizer': '104.d1.b1', 'counter': 11, 'group_counter': 40, 'group_order': 832, 'label': '4G', 'order': 4, 'powers': [2, 11, 11], 'representative': 31, 'size': 104}
  • id: 141193829
    {'aut_label': '8A1', 'centralizer': '4.d1.a1', 'counter': 12, 'group_counter': 40, 'group_order': 832, 'label': '8A1', 'order': 8, 'powers': [8, 14, 15], 'representative': 417, 'size': 4}
  • id: 141193840
    {'aut_label': '8A1', 'centralizer': '4.d1.a1', 'counter': 13, 'group_counter': 40, 'group_order': 832, 'label': '8A-1', 'order': 8, 'powers': [8, 15, 14], 'representative': 633, 'size': 4}
  • id: 141193851
    {'aut_label': '8A1', 'centralizer': '4.d1.a1', 'counter': 14, 'group_counter': 40, 'group_order': 832, 'label': '8A3', 'order': 8, 'powers': [8, 12, 13], 'representative': 217, 'size': 4}
  • id: 141193852
    {'aut_label': '8A1', 'centralizer': '4.d1.a1', 'counter': 15, 'group_counter': 40, 'group_order': 832, 'label': '8A-3', 'order': 8, 'powers': [8, 13, 12], 'representative': 1, 'size': 4}
  • id: 141193853
    {'aut_label': '8B1', 'centralizer': '52.e1.a1', 'counter': 16, 'group_counter': 40, 'group_order': 832, 'label': '8B1', 'order': 8, 'powers': [6, 18, 19], 'representative': 346, 'size': 52}
  • id: 141193854
    {'aut_label': '8B1', 'centralizer': '52.e1.a1', 'counter': 17, 'group_counter': 40, 'group_order': 832, 'label': '8B-1', 'order': 8, 'powers': [6, 19, 18], 'representative': 342, 'size': 52}
  • id: 141193855
    {'aut_label': '8B1', 'centralizer': '52.e1.a1', 'counter': 18, 'group_counter': 40, 'group_order': 832, 'label': '8B3', 'order': 8, 'powers': [6, 16, 17], 'representative': 350, 'size': 52}
  • id: 141193856
    {'aut_label': '8B1', 'centralizer': '52.e1.a1', 'counter': 19, 'group_counter': 40, 'group_order': 832, 'label': '8B-3', 'order': 8, 'powers': [6, 17, 16], 'representative': 338, 'size': 52}
  • id: 141193858
    {'aut_label': '13A1', 'centralizer': '2.b1.a1', 'counter': 20, 'group_counter': 40, 'group_order': 832, 'label': '13A1', 'order': 13, 'powers': [21, 22, 1], 'representative': 64, 'size': 2}
  • id: 141193859
    {'aut_label': '13A1', 'centralizer': '2.b1.a1', 'counter': 21, 'group_counter': 40, 'group_order': 832, 'label': '13A2', 'order': 13, 'powers': [23, 25, 1], 'representative': 128, 'size': 2}
  • id: 141193860
    {'aut_label': '13A1', 'centralizer': '2.b1.a1', 'counter': 22, 'group_counter': 40, 'group_order': 832, 'label': '13A3', 'order': 13, 'powers': [25, 23, 1], 'representative': 192, 'size': 2}
  • id: 141193861
    {'aut_label': '13A1', 'centralizer': '2.b1.a1', 'counter': 23, 'group_counter': 40, 'group_order': 832, 'label': '13A4', 'order': 13, 'powers': [24, 20, 1], 'representative': 256, 'size': 2}
  • id: 141193862
    {'aut_label': '13A1', 'centralizer': '2.b1.a1', 'counter': 24, 'group_counter': 40, 'group_order': 832, 'label': '13A5', 'order': 13, 'powers': [22, 21, 1], 'representative': 320, 'size': 2}
  • id: 141193863
    {'aut_label': '13A1', 'centralizer': '2.b1.a1', 'counter': 25, 'group_counter': 40, 'group_order': 832, 'label': '13A6', 'order': 13, 'powers': [20, 24, 1], 'representative': 384, 'size': 2}
  • id: 141193864
    {'aut_label': '26A1', 'centralizer': '2.b1.a1', 'counter': 26, 'group_counter': 40, 'group_order': 832, 'label': '26A1', 'order': 26, 'powers': [20, 27, 2], 'representative': 32, 'size': 2}
  • id: 141193865
    {'aut_label': '26A1', 'centralizer': '2.b1.a1', 'counter': 27, 'group_counter': 40, 'group_order': 832, 'label': '26A3', 'order': 26, 'powers': [22, 30, 2], 'representative': 96, 'size': 2}
  • id: 141193866
    {'aut_label': '26A1', 'centralizer': '2.b1.a1', 'counter': 28, 'group_counter': 40, 'group_order': 832, 'label': '26A5', 'order': 26, 'powers': [24, 31, 2], 'representative': 160, 'size': 2}
  • id: 141193867
    {'aut_label': '26A1', 'centralizer': '2.b1.a1', 'counter': 29, 'group_counter': 40, 'group_order': 832, 'label': '26A7', 'order': 26, 'powers': [25, 28, 2], 'representative': 224, 'size': 2}
  • id: 141193869
    {'aut_label': '26A1', 'centralizer': '2.b1.a1', 'counter': 30, 'group_counter': 40, 'group_order': 832, 'label': '26A9', 'order': 26, 'powers': [23, 26, 2], 'representative': 288, 'size': 2}
  • id: 141193870
    {'aut_label': '26A1', 'centralizer': '2.b1.a1', 'counter': 31, 'group_counter': 40, 'group_order': 832, 'label': '26A11', 'order': 26, 'powers': [21, 29, 2], 'representative': 352, 'size': 2}
  • id: 141193871
    {'aut_label': '26B1', 'centralizer': '2.b1.a1', 'counter': 32, 'group_counter': 40, 'group_order': 832, 'label': '26B1', 'order': 26, 'powers': [23, 33, 3], 'representative': 136, 'size': 2}
  • id: 141193872
    {'aut_label': '26B1', 'centralizer': '2.b1.a1', 'counter': 33, 'group_counter': 40, 'group_order': 832, 'label': '26B3', 'order': 26, 'powers': [20, 36, 3], 'representative': 392, 'size': 2}
  • id: 141193873
    {'aut_label': '26B1', 'centralizer': '2.b1.a1', 'counter': 34, 'group_counter': 40, 'group_order': 832, 'label': '26B5', 'order': 26, 'powers': [25, 37, 3], 'representative': 648, 'size': 2}
  • id: 141193874
    {'aut_label': '26B1', 'centralizer': '2.b1.a1', 'counter': 35, 'group_counter': 40, 'group_order': 832, 'label': '26B7', 'order': 26, 'powers': [21, 34, 3], 'representative': 72, 'size': 2}
  • id: 141193875
    {'aut_label': '26B1', 'centralizer': '2.b1.a1', 'counter': 36, 'group_counter': 40, 'group_order': 832, 'label': '26B9', 'order': 26, 'powers': [22, 32, 3], 'representative': 328, 'size': 2}
  • id: 141193876
    {'aut_label': '26B1', 'centralizer': '2.b1.a1', 'counter': 37, 'group_counter': 40, 'group_order': 832, 'label': '26B11', 'order': 26, 'powers': [24, 35, 3], 'representative': 584, 'size': 2}
  • id: 141193877
    {'aut_label': '26C1', 'centralizer': '2.b1.a1', 'counter': 38, 'group_counter': 40, 'group_order': 832, 'label': '26C1', 'order': 26, 'powers': [20, 39, 4], 'representative': 40, 'size': 2}
  • id: 141193878
    {'aut_label': '26C1', 'centralizer': '2.b1.a1', 'counter': 39, 'group_counter': 40, 'group_order': 832, 'label': '26C3', 'order': 26, 'powers': [22, 42, 4], 'representative': 104, 'size': 2}
  • id: 141193880
    {'aut_label': '26C1', 'centralizer': '2.b1.a1', 'counter': 40, 'group_counter': 40, 'group_order': 832, 'label': '26C5', 'order': 26, 'powers': [24, 43, 4], 'representative': 168, 'size': 2}
  • id: 141193881
    {'aut_label': '26C1', 'centralizer': '2.b1.a1', 'counter': 41, 'group_counter': 40, 'group_order': 832, 'label': '26C7', 'order': 26, 'powers': [25, 40, 4], 'representative': 232, 'size': 2}
  • id: 141193882
    {'aut_label': '26C1', 'centralizer': '2.b1.a1', 'counter': 42, 'group_counter': 40, 'group_order': 832, 'label': '26C9', 'order': 26, 'powers': [23, 38, 4], 'representative': 296, 'size': 2}
  • id: 141193883
    {'aut_label': '26C1', 'centralizer': '2.b1.a1', 'counter': 43, 'group_counter': 40, 'group_order': 832, 'label': '26C11', 'order': 26, 'powers': [21, 41, 4], 'representative': 360, 'size': 2}
  • id: 141193884
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 44, 'group_counter': 40, 'group_order': 832, 'label': '52A1', 'order': 52, 'powers': [26, 45, 5], 'representative': 16, 'size': 2}
  • id: 141193885
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 45, 'group_counter': 40, 'group_order': 832, 'label': '52A3', 'order': 52, 'powers': [27, 48, 5], 'representative': 48, 'size': 2}
  • id: 141193886
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 46, 'group_counter': 40, 'group_order': 832, 'label': '52A5', 'order': 52, 'powers': [28, 50, 5], 'representative': 80, 'size': 2}
  • id: 141193887
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 47, 'group_counter': 40, 'group_order': 832, 'label': '52A7', 'order': 52, 'powers': [29, 53, 5], 'representative': 720, 'size': 2}
  • id: 141193888
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 48, 'group_counter': 40, 'group_order': 832, 'label': '52A9', 'order': 52, 'powers': [30, 55, 5], 'representative': 144, 'size': 2}
  • id: 141193889
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 49, 'group_counter': 40, 'group_order': 832, 'label': '52A11', 'order': 52, 'powers': [31, 52, 5], 'representative': 656, 'size': 2}
  • id: 141193891
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 50, 'group_counter': 40, 'group_order': 832, 'label': '52A15', 'order': 52, 'powers': [31, 47, 5], 'representative': 592, 'size': 2}
  • id: 141193892
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 51, 'group_counter': 40, 'group_order': 832, 'label': '52A17', 'order': 52, 'powers': [30, 44, 5], 'representative': 272, 'size': 2}
  • id: 141193893
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 52, 'group_counter': 40, 'group_order': 832, 'label': '52A19', 'order': 52, 'powers': [29, 46, 5], 'representative': 528, 'size': 2}
  • id: 141193894
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 53, 'group_counter': 40, 'group_order': 832, 'label': '52A21', 'order': 52, 'powers': [28, 49, 5], 'representative': 336, 'size': 2}
  • id: 141193895
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 54, 'group_counter': 40, 'group_order': 832, 'label': '52A23', 'order': 52, 'powers': [27, 51, 5], 'representative': 464, 'size': 2}
  • id: 141193896
    {'aut_label': '52A1', 'centralizer': '2.b1.a1', 'counter': 55, 'group_counter': 40, 'group_order': 832, 'label': '52A25', 'order': 52, 'powers': [26, 54, 5], 'representative': 400, 'size': 2}
  • id: 141193897
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 56, 'group_counter': 40, 'group_order': 832, 'label': '52B1', 'order': 52, 'powers': [28, 57, 8], 'representative': 760, 'size': 2}
  • id: 141193898
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 57, 'group_counter': 40, 'group_order': 832, 'label': '52B3', 'order': 52, 'powers': [31, 60, 8], 'representative': 600, 'size': 2}
  • id: 141193899
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 58, 'group_counter': 40, 'group_order': 832, 'label': '52B5', 'order': 52, 'powers': [26, 62, 8], 'representative': 440, 'size': 2}
  • id: 141193900
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 59, 'group_counter': 40, 'group_order': 832, 'label': '52B7', 'order': 52, 'powers': [30, 65, 8], 'representative': 280, 'size': 2}
  • id: 141193902
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 60, 'group_counter': 40, 'group_order': 832, 'label': '52B9', 'order': 52, 'powers': [29, 67, 8], 'representative': 120, 'size': 2}
  • id: 141193903
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 61, 'group_counter': 40, 'group_order': 832, 'label': '52B11', 'order': 52, 'powers': [27, 64, 8], 'representative': 792, 'size': 2}
  • id: 141193904
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 62, 'group_counter': 40, 'group_order': 832, 'label': '52B15', 'order': 52, 'powers': [27, 59, 8], 'representative': 472, 'size': 2}
  • id: 141193905
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 63, 'group_counter': 40, 'group_order': 832, 'label': '52B17', 'order': 52, 'powers': [29, 56, 8], 'representative': 312, 'size': 2}
  • id: 141193906
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 64, 'group_counter': 40, 'group_order': 832, 'label': '52B19', 'order': 52, 'powers': [30, 58, 8], 'representative': 152, 'size': 2}
  • id: 141193907
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 65, 'group_counter': 40, 'group_order': 832, 'label': '52B21', 'order': 52, 'powers': [26, 61, 8], 'representative': 824, 'size': 2}
  • id: 141193908
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 66, 'group_counter': 40, 'group_order': 832, 'label': '52B23', 'order': 52, 'powers': [31, 63, 8], 'representative': 664, 'size': 2}
  • id: 141193909
    {'aut_label': '52B1', 'centralizer': '2.b1.a1', 'counter': 67, 'group_counter': 40, 'group_order': 832, 'label': '52B25', 'order': 52, 'powers': [28, 66, 8], 'representative': 504, 'size': 2}
  • id: 141193910
    {'aut_label': '52C1', 'centralizer': '4.a1.a1', 'counter': 68, 'group_counter': 40, 'group_order': 832, 'label': '52C1', 'order': 52, 'powers': [32, 69, 6], 'representative': 68, 'size': 4}
  • id: 141193911
    {'aut_label': '52C1', 'centralizer': '4.a1.a1', 'counter': 69, 'group_counter': 40, 'group_order': 832, 'label': '52C3', 'order': 52, 'powers': [33, 72, 6], 'representative': 196, 'size': 4}
  • id: 141193913
    {'aut_label': '52C1', 'centralizer': '4.a1.a1', 'counter': 70, 'group_counter': 40, 'group_order': 832, 'label': '52C5', 'order': 52, 'powers': [34, 73, 6], 'representative': 324, 'size': 4}
  • id: 141193914
    {'aut_label': '52C1', 'centralizer': '4.a1.a1', 'counter': 71, 'group_counter': 40, 'group_order': 832, 'label': '52C7', 'order': 52, 'powers': [35, 70, 6], 'representative': 388, 'size': 4}
  • id: 141193915
    {'aut_label': '52C1', 'centralizer': '4.a1.a1', 'counter': 72, 'group_counter': 40, 'group_order': 832, 'label': '52C9', 'order': 52, 'powers': [36, 68, 6], 'representative': 260, 'size': 4}
  • id: 141193916
    {'aut_label': '52C1', 'centralizer': '4.a1.a1', 'counter': 73, 'group_counter': 40, 'group_order': 832, 'label': '52C11', 'order': 52, 'powers': [37, 71, 6], 'representative': 132, 'size': 4}
  • id: 141193917
    {'aut_label': '52D1', 'centralizer': '4.a1.a1', 'counter': 74, 'group_counter': 40, 'group_order': 832, 'label': '52D1', 'order': 52, 'powers': [35, 75, 7], 'representative': 36, 'size': 4}
  • id: 141193918
    {'aut_label': '52D1', 'centralizer': '4.a1.a1', 'counter': 75, 'group_counter': 40, 'group_order': 832, 'label': '52D3', 'order': 52, 'powers': [34, 78, 7], 'representative': 100, 'size': 4}
  • id: 141193919
    {'aut_label': '52D1', 'centralizer': '4.a1.a1', 'counter': 76, 'group_counter': 40, 'group_order': 832, 'label': '52D5', 'order': 52, 'powers': [36, 79, 7], 'representative': 164, 'size': 4}
  • id: 141193920
    {'aut_label': '52D1', 'centralizer': '4.a1.a1', 'counter': 77, 'group_counter': 40, 'group_order': 832, 'label': '52D7', 'order': 52, 'powers': [33, 76, 7], 'representative': 228, 'size': 4}
  • id: 141193921
    {'aut_label': '52D1', 'centralizer': '4.a1.a1', 'counter': 78, 'group_counter': 40, 'group_order': 832, 'label': '52D9', 'order': 52, 'powers': [37, 74, 7], 'representative': 292, 'size': 4}
  • id: 141193922
    {'aut_label': '52D1', 'centralizer': '4.a1.a1', 'counter': 79, 'group_counter': 40, 'group_order': 832, 'label': '52D11', 'order': 52, 'powers': [32, 77, 7], 'representative': 356, 'size': 4}
  • id: 141193924
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 80, 'group_counter': 40, 'group_order': 832, 'label': '52E1', 'order': 52, 'powers': [38, 81, 9], 'representative': 20, 'size': 4}
  • id: 141193925
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 81, 'group_counter': 40, 'group_order': 832, 'label': '52E3', 'order': 52, 'powers': [39, 84, 9], 'representative': 52, 'size': 4}
  • id: 141193926
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 82, 'group_counter': 40, 'group_order': 832, 'label': '52E5', 'order': 52, 'powers': [40, 86, 9], 'representative': 84, 'size': 4}
  • id: 141193927
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 83, 'group_counter': 40, 'group_order': 832, 'label': '52E7', 'order': 52, 'powers': [41, 89, 9], 'representative': 724, 'size': 4}
  • id: 141193928
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 84, 'group_counter': 40, 'group_order': 832, 'label': '52E9', 'order': 52, 'powers': [42, 91, 9], 'representative': 148, 'size': 4}
  • id: 141193929
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 85, 'group_counter': 40, 'group_order': 832, 'label': '52E11', 'order': 52, 'powers': [43, 88, 9], 'representative': 660, 'size': 4}
  • id: 141193930
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 86, 'group_counter': 40, 'group_order': 832, 'label': '52E15', 'order': 52, 'powers': [43, 83, 9], 'representative': 596, 'size': 4}
  • id: 141193931
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 87, 'group_counter': 40, 'group_order': 832, 'label': '52E17', 'order': 52, 'powers': [42, 80, 9], 'representative': 276, 'size': 4}
  • id: 141193932
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 88, 'group_counter': 40, 'group_order': 832, 'label': '52E19', 'order': 52, 'powers': [41, 82, 9], 'representative': 532, 'size': 4}
  • id: 141193933
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 89, 'group_counter': 40, 'group_order': 832, 'label': '52E21', 'order': 52, 'powers': [40, 85, 9], 'representative': 340, 'size': 4}
  • id: 141193935
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 90, 'group_counter': 40, 'group_order': 832, 'label': '52E23', 'order': 52, 'powers': [39, 87, 9], 'representative': 468, 'size': 4}
  • id: 141193936
    {'aut_label': '52E1', 'centralizer': '4.a1.a1', 'counter': 91, 'group_counter': 40, 'group_order': 832, 'label': '52E25', 'order': 52, 'powers': [38, 90, 9], 'representative': 404, 'size': 4}
  • id: 141193937
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 92, 'group_counter': 40, 'group_order': 832, 'label': '104A1', 'order': 104, 'powers': [56, 94, 12], 'representative': 65, 'size': 4}
  • id: 141193938
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 93, 'group_counter': 40, 'group_order': 832, 'label': '104A-1', 'order': 104, 'powers': [56, 95, 13], 'representative': 145, 'size': 4}
  • id: 141193939
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 94, 'group_counter': 40, 'group_order': 832, 'label': '104A3', 'order': 104, 'powers': [57, 100, 14], 'representative': 645, 'size': 4}
  • id: 141193940
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 95, 'group_counter': 40, 'group_order': 832, 'label': '104A-3', 'order': 104, 'powers': [57, 101, 15], 'representative': 225, 'size': 4}
  • id: 141193941
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 96, 'group_counter': 40, 'group_order': 832, 'label': '104A5', 'order': 104, 'powers': [58, 104, 15], 'representative': 737, 'size': 4}
  • id: 141193942
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 97, 'group_counter': 40, 'group_order': 832, 'label': '104A-5', 'order': 104, 'powers': [58, 105, 14], 'representative': 325, 'size': 4}
  • id: 141193943
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 98, 'group_counter': 40, 'group_order': 832, 'label': '104A7', 'order': 104, 'powers': [59, 110, 13], 'representative': 657, 'size': 4}
  • id: 141193944
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 99, 'group_counter': 40, 'group_order': 832, 'label': '104A-7', 'order': 104, 'powers': [59, 111, 12], 'representative': 385, 'size': 4}
  • id: 141193808
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 100, 'group_counter': 40, 'group_order': 832, 'label': '104A9', 'order': 104, 'powers': [60, 116, 12], 'representative': 577, 'size': 4}
  • id: 141193809
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 101, 'group_counter': 40, 'group_order': 832, 'label': '104A-9', 'order': 104, 'powers': [60, 117, 13], 'representative': 465, 'size': 4}
  • id: 141193810
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 102, 'group_counter': 40, 'group_order': 832, 'label': '104A11', 'order': 104, 'powers': [61, 122, 14], 'representative': 133, 'size': 4}
  • id: 141193811
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 103, 'group_counter': 40, 'group_order': 832, 'label': '104A-11', 'order': 104, 'powers': [61, 123, 15], 'representative': 545, 'size': 4}
  • id: 141193812
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 104, 'group_counter': 40, 'group_order': 832, 'label': '104A15', 'order': 104, 'powers': [62, 132, 13], 'representative': 337, 'size': 4}
  • id: 141193813
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 105, 'group_counter': 40, 'group_order': 832, 'label': '104A-15', 'order': 104, 'powers': [62, 133, 12], 'representative': 705, 'size': 4}
  • id: 141193814
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 106, 'group_counter': 40, 'group_order': 832, 'label': '104A17', 'order': 104, 'powers': [63, 138, 12], 'representative': 257, 'size': 4}
  • id: 141193815
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 107, 'group_counter': 40, 'group_order': 832, 'label': '104A-17', 'order': 104, 'powers': [63, 139, 13], 'representative': 785, 'size': 4}
  • id: 141193816
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 108, 'group_counter': 40, 'group_order': 832, 'label': '104A19', 'order': 104, 'powers': [64, 135, 14], 'representative': 453, 'size': 4}
  • id: 141193817
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 109, 'group_counter': 40, 'group_order': 832, 'label': '104A-19', 'order': 104, 'powers': [64, 134, 15], 'representative': 33, 'size': 4}
  • id: 141193819
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 110, 'group_counter': 40, 'group_order': 832, 'label': '104A21', 'order': 104, 'powers': [65, 129, 15], 'representative': 97, 'size': 4}
  • id: 141193820
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 111, 'group_counter': 40, 'group_order': 832, 'label': '104A-21', 'order': 104, 'powers': [65, 128, 14], 'representative': 517, 'size': 4}
  • id: 141193821
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 112, 'group_counter': 40, 'group_order': 832, 'label': '104A23', 'order': 104, 'powers': [66, 125, 13], 'representative': 17, 'size': 4}
  • id: 141193822
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 113, 'group_counter': 40, 'group_order': 832, 'label': '104A-23', 'order': 104, 'powers': [66, 124, 12], 'representative': 193, 'size': 4}
  • id: 141193823
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 114, 'group_counter': 40, 'group_order': 832, 'label': '104A25', 'order': 104, 'powers': [67, 119, 12], 'representative': 769, 'size': 4}
  • id: 141193824
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 115, 'group_counter': 40, 'group_order': 832, 'label': '104A-25', 'order': 104, 'powers': [67, 118, 13], 'representative': 273, 'size': 4}
  • id: 141193825
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 116, 'group_counter': 40, 'group_order': 832, 'label': '104A27', 'order': 104, 'powers': [67, 113, 14], 'representative': 773, 'size': 4}
  • id: 141193826
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 117, 'group_counter': 40, 'group_order': 832, 'label': '104A-27', 'order': 104, 'powers': [67, 112, 15], 'representative': 353, 'size': 4}
  • id: 141193827
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 118, 'group_counter': 40, 'group_order': 832, 'label': '104A29', 'order': 104, 'powers': [66, 107, 15], 'representative': 21, 'size': 4}
  • id: 141193828
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 119, 'group_counter': 40, 'group_order': 832, 'label': '104A-29', 'order': 104, 'powers': [66, 106, 14], 'representative': 197, 'size': 4}
  • id: 141193830
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 120, 'group_counter': 40, 'group_order': 832, 'label': '104A31', 'order': 104, 'powers': [65, 103, 13], 'representative': 529, 'size': 4}
  • id: 141193831
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 121, 'group_counter': 40, 'group_order': 832, 'label': '104A-31', 'order': 104, 'powers': [65, 102, 12], 'representative': 513, 'size': 4}
  • id: 141193832
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 122, 'group_counter': 40, 'group_order': 832, 'label': '104A33', 'order': 104, 'powers': [64, 97, 12], 'representative': 449, 'size': 4}
  • id: 141193833
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 123, 'group_counter': 40, 'group_order': 832, 'label': '104A-33', 'order': 104, 'powers': [64, 96, 13], 'representative': 37, 'size': 4}
  • id: 141193834
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 124, 'group_counter': 40, 'group_order': 832, 'label': '104A35', 'order': 104, 'powers': [63, 92, 14], 'representative': 261, 'size': 4}
  • id: 141193835
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 125, 'group_counter': 40, 'group_order': 832, 'label': '104A-35', 'order': 104, 'powers': [63, 93, 15], 'representative': 673, 'size': 4}
  • id: 141193836
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 126, 'group_counter': 40, 'group_order': 832, 'label': '104A37', 'order': 104, 'powers': [62, 98, 15], 'representative': 289, 'size': 4}
  • id: 141193837
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 127, 'group_counter': 40, 'group_order': 832, 'label': '104A-37', 'order': 104, 'powers': [62, 99, 14], 'representative': 709, 'size': 4}
  • id: 141193838
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 128, 'group_counter': 40, 'group_order': 832, 'label': '104A41', 'order': 104, 'powers': [61, 108, 12], 'representative': 129, 'size': 4}
  • id: 141193839
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 129, 'group_counter': 40, 'group_order': 832, 'label': '104A-41', 'order': 104, 'powers': [61, 109, 13], 'representative': 81, 'size': 4}
  • id: 141193841
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 130, 'group_counter': 40, 'group_order': 832, 'label': '104A43', 'order': 104, 'powers': [60, 114, 14], 'representative': 49, 'size': 4}
  • id: 141193842
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 131, 'group_counter': 40, 'group_order': 832, 'label': '104A-43', 'order': 104, 'powers': [60, 115, 15], 'representative': 161, 'size': 4}
  • id: 141193843
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 132, 'group_counter': 40, 'group_order': 832, 'label': '104A45', 'order': 104, 'powers': [59, 120, 15], 'representative': 801, 'size': 4}
  • id: 141193844
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 133, 'group_counter': 40, 'group_order': 832, 'label': '104A-45', 'order': 104, 'powers': [59, 121, 14], 'representative': 389, 'size': 4}
  • id: 141193845
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 134, 'group_counter': 40, 'group_order': 832, 'label': '104A47', 'order': 104, 'powers': [58, 126, 13], 'representative': 721, 'size': 4}
  • id: 141193846
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 135, 'group_counter': 40, 'group_order': 832, 'label': '104A-47', 'order': 104, 'powers': [58, 127, 12], 'representative': 321, 'size': 4}
  • id: 141193847
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 136, 'group_counter': 40, 'group_order': 832, 'label': '104A49', 'order': 104, 'powers': [57, 130, 12], 'representative': 641, 'size': 4}
  • id: 141193848
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 137, 'group_counter': 40, 'group_order': 832, 'label': '104A-49', 'order': 104, 'powers': [57, 131, 13], 'representative': 401, 'size': 4}
  • id: 141193849
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 138, 'group_counter': 40, 'group_order': 832, 'label': '104A51', 'order': 104, 'powers': [56, 136, 14], 'representative': 69, 'size': 4}
  • id: 141193850
    {'aut_label': '104A1', 'centralizer': '4.d1.a1', 'counter': 139, 'group_counter': 40, 'group_order': 832, 'label': '104A-51', 'order': 104, 'powers': [56, 137, 15], 'representative': 481, 'size': 4}
• gps_qchar •

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

  
  
  • id: 13048929
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.1a', '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], 'schur_index': 1}
  • id: 13048940
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.1b', '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], 'schur_index': 1}
  • id: 13048945
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.1c', '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], 'schur_index': 1}
  • id: 13048946
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.1d', '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], 'schur_index': 1}
  • id: 13048947
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -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], 'schur_index': 1}
  • id: 13048948
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -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], 'schur_index': 1}
  • id: 13048949
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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], 'schur_index': 1}
  • id: 13048950
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -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], 'schur_index': 1}
  • id: 13048951
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2c', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -4, -4, -4, -4, 4, -4, 4, -4, 4, -4, -4, -4, -4, 4, -4, -4, 4, 4, -4, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13048930
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2d', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, -4, -4, -4, -4, -4, -4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13048931
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2e', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, -4, 4, -4, 4, 4, 4, 4, -4, 4, 4, -4, -4, 4, -4, -4, -4, -4, -4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13048932
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2f', 'multiplicity': 2, 'nt': [16, 14], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 0, 4, 4, 4, 4, 4, 4, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13048941
    {'cdim': 4, 'counter': 20, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.4a', 'multiplicity': 1, 'nt': [16, 40], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13048933
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2g', 'multiplicity': 6, 'nt': [13, 2], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 12, 12, 12, 0, 0, 12, 12, 12, 12, 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], 'schur_index': 1}
  • id: 13048934
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2h', 'multiplicity': 6, 'nt': [26, 3], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 12, 12, 12, 0, 0, -12, -12, -12, -12, 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], 'schur_index': 1}
  • id: 13048935
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2i', 'multiplicity': 12, 'nt': [52, 0], 'qdim': 24, 'qvalues': [24, 24, 24, 24, -24, -24, -24, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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], 'schur_index': 1}
  • id: 13048936
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2j', 'multiplicity': 12, 'nt': [52, 0], 'qdim': 24, 'qvalues': [24, 24, 24, 24, -24, 24, -24, 24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -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], 'schur_index': 1}
  • id: 13048937
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2k', 'multiplicity': 12, 'nt': [52, 0], 'qdim': 24, 'qvalues': [24, 24, 24, 24, 24, -24, 24, -24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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], 'schur_index': 1}
  • id: 13048942
    {'cdim': 4, 'counter': 21, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.4b', 'multiplicity': 6, 'nt': [104, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, -24, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 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], 'schur_index': 2}
  • id: 13048943
    {'cdim': 4, 'counter': 22, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.4c', 'multiplicity': 6, 'nt': [104, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 24, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -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], 'schur_index': 2}
  • id: 13048938
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2l', 'multiplicity': 24, 'nt': [104, 0], 'qdim': 48, 'qvalues': [48, -48, 48, -48, 0, -48, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 0, 4, 4, 4, 4, 4, 4, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13048939
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.2m', 'multiplicity': 24, 'nt': [208, 0], 'qdim': 48, 'qvalues': [48, -48, 48, -48, 0, 48, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, -4, -4, -4, -4, -4, -4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13048944
    {'cdim': 4, 'counter': 23, 'faithful': False, 'group': '832.40', 'group_order': 832, 'image': None, 'label': '832.40.4d', 'multiplicity': 12, 'nt': [208, 0], 'qdim': 48, 'qvalues': [48, -48, -48, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 30650179
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 832, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 832, 'label': '832.40.1a', '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]]]}
  • id: 30650230
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 832, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 416, 'label': '832.40.1b', '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]]]}
  • id: 30650241
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 832, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 416, 'label': '832.40.1c', '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]]]}
  • id: 30650252
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 832, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 416, 'label': '832.40.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 30650263
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  • id: 30650274
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  • id: 30650285
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  • id: 30650296
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  • id: 30650307
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  • id: 30650180
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  • id: 30650191
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  • id: 30650202
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  • id: 30650213
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  • id: 30650224
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  • id: 30650225
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  • id: 30650226
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  • id: 30650227
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  • id: 30650228
    {'center': '8.b1.a1', 'center_index': 8, 'center_order': 104, 'counter': 18, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '16.9', 'image_order': 16, 'indicator': -1, 'kernel': '16.e1.a1', 'kernel_order': 52, 'label': '832.40.2f2', 'nt': [16, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 30650229
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 19, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 32, 'label': '832.40.2g1', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]]]}
  • id: 30650231
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 20, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 32, 'label': '832.40.2g2', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 30650232
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 21, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 32, 'label': '832.40.2g3', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]]]}
  • id: 30650233
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 22, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 32, 'label': '832.40.2g4', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 30650234
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 23, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 32, 'label': '832.40.2g5', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 30650235
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 24, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '26.1', 'image_order': 26, 'indicator': 1, 'kernel': '26.a1.a1', 'kernel_order': 32, 'label': '832.40.2g6', 'nt': [13, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 30650236
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 25, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 16, 'label': '832.40.2h1', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]]]}
  • id: 30650237
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 26, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 16, 'label': '832.40.2h2', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 30650238
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 27, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 16, 'label': '832.40.2h3', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 30650239
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 28, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 16, 'label': '832.40.2h4', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 30650240
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 29, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 16, 'label': '832.40.2h5', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 30650242
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 30, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '52.4', 'image_order': 52, 'indicator': 1, 'kernel': '52.a1.a1', 'kernel_order': 16, 'label': '832.40.2h6', 'nt': [26, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 30650243
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  • id: 30650253
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 40, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [1, 0, 21, 0, 70, 0, 84, 0, 45, 0, 11, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.5', 'image_order': 104, 'indicator': 0, 'kernel': '104.c1.a1', 'kernel_order': 8, 'label': '832.40.2i10', 'nt': [52, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 13]], [[-2, 13]], [[-2, 13]], [[2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 9], [1, 17]], [[-1, 9], [-1, 17]], [[-1, 9], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[1, 3], [1, 23]], [[1, 5], [1, 21]], [[-1, 5], [-1, 21]], [[-1, 7], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[1, 11], [1, 15]], [[-1, 7], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[1, 3], [1, 23]], [[1, 9], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 3], [-1, 23]], [[1, 11], [1, 15]], [[1, 7], [1, 19]], [[-1, 11], [-1, 15]], [[1, 3], [1, 23]], [[1, 11], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[1, 9], [1, 17]], [[-1, 9], [-1, 17]], [[-1, 3], [-1, 23]], [[1, 5], [1, 21]], [[1, 11], [1, 15]], [[-1, 7], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[1, 5], [1, 21]], [[-1, 11], [-1, 15]], [[-1, 3], [-1, 23]], [[1, 7], [1, 19]], [[1, 9], [1, 17]], [[-1, 11], [-1, 15]], [[-1, 5], [-1, 21]], [[-1, 3], [-1, 23]], [[1, 7], [1, 19]], [[1, 7], [1, 19]], [[-1, 11], [-1, 15]], [[-1, 7], [-1, 19]], [[1, 3], [1, 23]], [[-1, 5], [-1, 21]], [[-1, 9], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[1, 5], [1, 21]], [[-1, 5], [-1, 21]]]}
  • id: 30650254
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  • id: 30650255
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  • id: 30650244
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 32, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [1, 0, 21, 0, 70, 0, 84, 0, 45, 0, 11, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.5', 'image_order': 104, 'indicator': 0, 'kernel': '104.c1.a1', 'kernel_order': 8, 'label': '832.40.2i2', 'nt': [52, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 13]], [[-2, 13]], [[-2, 13]], [[2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[-1, 3], [-1, 23]], [[-1, 9], [-1, 17]], [[-1, 11], [-1, 15]], [[1, 11], [1, 15]], [[1, 5], [1, 21]], [[-1, 3], [-1, 23]], [[1, 7], [1, 19]], [[1, 5], [1, 21]], [[1, 3], [1, 23]], [[-1, 9], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 3], [-1, 23]], [[1, 9], [1, 17]], [[1, 7], [1, 19]], [[-1, 5], [-1, 21]], [[-1, 7], [-1, 19]], [[-1, 9], [-1, 17]], [[1, 7], [1, 19]], [[1, 3], [1, 23]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[1, 9], [1, 17]], [[-1, 11], [-1, 15]], [[1, 7], [1, 19]], [[1, 5], [1, 21]], [[1, 3], [1, 23]], [[1, 3], [1, 23]], [[-1, 11], [-1, 15]], [[-1, 7], [-1, 19]], [[1, 9], [1, 17]], [[-1, 5], [-1, 21]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 7], [-1, 19]], [[1, 11], [1, 15]], [[1, 9], [1, 17]], [[-1, 5], [-1, 21]], [[-1, 5], [-1, 21]], [[-1, 7], [-1, 19]], [[1, 5], [1, 21]], [[-1, 9], [-1, 17]], [[1, 11], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[-1, 3], [-1, 23]], [[-1, 11], [-1, 15]], [[1, 11], [1, 15]]]}
  • id: 30650245
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  • id: 30650246
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  • id: 30650247
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  • id: 30650248
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  • id: 30650249
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  • id: 30650250
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 38, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [1, 0, 21, 0, 70, 0, 84, 0, 45, 0, 11, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.5', 'image_order': 104, 'indicator': 0, 'kernel': '104.c1.a1', 'kernel_order': 8, 'label': '832.40.2i8', 'nt': [52, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 13]], [[-2, 13]], [[-2, 13]], [[2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, 19]], [[1, 7], [1, 19]], [[1, 7], [1, 19]], [[1, 5], [1, 21]], [[1, 11], [1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[1, 9], [1, 17]], [[1, 5], [1, 21]], [[1, 3], [1, 23]], [[1, 9], [1, 17]], [[-1, 5], [-1, 21]], [[1, 11], [1, 15]], [[-1, 7], [-1, 19]], [[1, 5], [1, 21]], [[-1, 11], [-1, 15]], [[1, 3], [1, 23]], [[-1, 9], [-1, 17]], [[-1, 3], [-1, 23]], [[1, 11], [1, 15]], [[1, 3], [1, 23]], [[-1, 5], [-1, 21]], [[-1, 7], [-1, 19]], [[1, 7], [1, 19]], [[-1, 11], [-1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[1, 3], [1, 23]], [[1, 9], [1, 17]], [[-1, 5], [-1, 21]], [[-1, 5], [-1, 21]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 3], [-1, 23]], [[-1, 11], [-1, 15]], [[-1, 9], [-1, 17]], [[-1, 7], [-1, 19]], [[-1, 3], [-1, 23]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[-1, 11], [-1, 15]], [[-1, 9], [-1, 17]], [[-1, 9], [-1, 17]], [[-1, 3], [-1, 23]], [[1, 9], [1, 17]], [[1, 11], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[1, 7], [1, 19]], [[1, 5], [1, 21]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]]]}
  • id: 30650251
    {'center': '26.a1.a1', 'center_index': 26, 'center_order': 32, 'counter': 39, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [1, 0, 21, 0, 70, 0, 84, 0, 45, 0, 11, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.5', 'image_order': 104, 'indicator': 0, 'kernel': '104.c1.a1', 'kernel_order': 8, 'label': '832.40.2i9', 'nt': [52, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 13]], [[2, 13]], [[2, 13]], [[-2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 9], [-1, 17]], [[1, 9], [1, 17]], [[1, 9], [1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[-1, 3], [-1, 23]], [[-1, 5], [-1, 21]], [[1, 5], [1, 21]], [[1, 7], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[-1, 11], [-1, 15]], [[1, 7], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 3], [-1, 23]], [[-1, 9], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[1, 3], [1, 23]], [[-1, 11], [-1, 15]], [[-1, 7], [-1, 19]], [[1, 11], [1, 15]], [[-1, 3], [-1, 23]], [[-1, 11], [-1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 9], [-1, 17]], [[1, 9], [1, 17]], [[1, 3], [1, 23]], [[-1, 5], [-1, 21]], [[-1, 11], [-1, 15]], [[1, 7], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23]], [[-1, 5], [-1, 21]], [[1, 11], [1, 15]], [[1, 3], [1, 23]], [[-1, 7], [-1, 19]], [[-1, 9], [-1, 17]], [[1, 11], [1, 15]], [[1, 5], [1, 21]], [[1, 3], [1, 23]], [[-1, 7], [-1, 19]], [[-1, 7], [-1, 19]], [[1, 11], [1, 15]], [[1, 7], [1, 19]], [[-1, 3], [-1, 23]], [[1, 5], [1, 21]], [[1, 9], [1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23]], [[-1, 5], [-1, 21]], [[1, 5], [1, 21]]]}
  • id: 30650256
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  • id: 30650266
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  • id: 30650267
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 16, 'counter': 53, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.6', 'image_order': 104, 'indicator': 1, 'kernel': '104.b1.a1', 'kernel_order': 8, 'label': '832.40.2j11', 'nt': [52, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]]]}
  • id: 30650268
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  • id: 30650257
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  • id: 30650258
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  • id: 30650259
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  • id: 30650260
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  • id: 30650261
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  • id: 30650262
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  • id: 30650264
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 16, 'counter': 50, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.6', 'image_order': 104, 'indicator': 1, 'kernel': '104.b1.a1', 'kernel_order': 8, 'label': '832.40.2j8', 'nt': [52, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 30650265
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 16, 'counter': 51, 'cyclotomic_n': 52, 'dim': 2, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.6', 'image_order': 104, 'indicator': 1, 'kernel': '104.b1.a1', 'kernel_order': 8, 'label': '832.40.2j9', 'nt': [52, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 30650269
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  • id: 30650279
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 16, 'counter': 64, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.8', 'image_order': 104, 'indicator': 0, 'kernel': '104.a1.a1', 'kernel_order': 8, 'label': '832.40.2k10', 'nt': [52, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 5], [1, -5]], [[-1, 3], [1, -3]], [[-1, 6], [1, -6]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 4], [1, -4]], [[1, 6], [-1, -6]], [[-1, 5], [1, -5]], [[-1, 6], [1, -6]], [[-1, 4], [1, -4]], [[-1, 6], [1, -6]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[-1, 2], [1, -2]], [[1, 6], [-1, -6]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 6], [-1, -6]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[-1, 1], [1, -1]], [[1, 6], [-1, -6]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 6], [1, -6]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]]]}
  • id: 30650280
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 16, 'counter': 65, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.8', 'image_order': 104, 'indicator': 0, 'kernel': '104.a1.a1', 'kernel_order': 8, 'label': '832.40.2k11', 'nt': [52, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[-1, 4], [1, -4]], [[1, 5], [-1, -5]], [[1, 2], [-1, -2]], [[1, 6], [-1, -6]], [[1, 5], [-1, -5]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[-1, 6], [1, -6]], [[-1, 6], [1, -6]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[1, 6], [-1, -6]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 6], [-1, -6]], [[-1, 5], [1, -5]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]]]}
  • id: 30650281
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  • id: 30650270
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  • id: 30650271
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  • id: 30650272
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  • id: 30650273
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  • id: 30650275
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  • id: 30650276
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  • id: 30650277
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 16, 'counter': 62, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.8', 'image_order': 104, 'indicator': 0, 'kernel': '104.a1.a1', 'kernel_order': 8, 'label': '832.40.2k8', 'nt': [52, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [-1, -5]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[-1, 6], [1, -6]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 6], [1, -6]], [[-1, 5], [1, -5]], [[-1, 2], [1, -2]], [[1, 6], [-1, -6]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[-1, 4], [1, -4]], [[1, 6], [-1, -6]], [[-1, 4], [1, -4]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[1, 5], [-1, -5]], [[-1, 6], [1, -6]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[-1, 6], [1, -6]], [[-1, 1], [1, -1]], [[-1, 5], [1, -5]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[1, 6], [-1, -6]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[1, 6], [-1, -6]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]]]}
  • id: 30650278
    {'center': '52.a1.a1', 'center_index': 52, 'center_order': 16, 'counter': 63, 'cyclotomic_n': 13, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '104.8', 'image_order': 104, 'indicator': 0, 'kernel': '104.a1.a1', 'kernel_order': 8, 'label': '832.40.2k9', 'nt': [52, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[1, 3], [-1, -3]], [[1, 6], [-1, -6]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[-1, 6], [1, -6]], [[1, 5], [-1, -5]], [[1, 6], [-1, -6]], [[1, 4], [-1, -4]], [[1, 6], [-1, -6]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[1, 2], [-1, -2]], [[-1, 6], [1, -6]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 6], [1, -6]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[1, 1], [-1, -1]], [[-1, 6], [1, -6]], [[1, 2], [-1, -2]], [[1, 4], [-1, -4]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 6], [-1, -6]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]]]}
  • id: 30650282
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  • id: 30650292
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  • id: 30650293
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  • id: 30650294
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  • id: 30650295
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  • id: 30650297
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  • id: 30650298
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  • id: 30650299
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  • id: 30650300
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  • id: 30650301
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  • id: 30650302
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  • id: 30650283
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  • id: 30650303
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  • id: 30650304
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  • id: 30650305
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  • id: 30650306
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  • id: 30650308
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  • id: 30650284
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  • id: 30650286
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  • id: 30650287
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  • id: 30650288
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  • id: 30650289
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  • id: 30650290
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  • id: 30650291
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 75, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, 84, 0, 1141, 0, 5936, 0, 15622, 0, 23792, 0, 22580, 0, 13904, 0, 5645, 0, 1500, 0, 251, 0, 24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.6', 'image_order': 208, 'indicator': 0, 'kernel': '208.d1.a1', 'kernel_order': 4, 'label': '832.40.2l9', 'nt': [104, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, 39]], [[1, 13], [1, 39]], [[-1, 13], [-1, 39]], [[1, 13], [1, 39]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 20], [-1, -20]], [[-1, 22], [-1, -22]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 21], [1, 25], [-1, 29], [1, 33], [-1, 37], [1, 41], [-1, 45]], [[1, 23], [1, 29]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 21], [1, 25], [-1, 29], [1, 33], [-1, 37], [1, 41], [-1, 45]], [[-1, 17], [-1, 35]], [[1, 25], [1, 27]], [[1, 19], [1, 33]], [[-1, 19], [-1, 33]], [[-1, 11], [-1, 41]], [[-1, 9], [-1, 43]], [[-1, 21], [-1, 31]], [[-1, 15], [-1, 37]], [[1, 17], [1, 35]], [[-1, 25], [-1, 27]], [[-1, 23], [-1, 29]], [[1, 9], [1, 43]], [[-1, 25], [-1, 27]], [[1, 5], [1, 47]], [[-1, 15], [-1, 37]], [[-1, 5], [-1, 47]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 23], [-1, 27], [1, 31], [-1, 35], [1, 39], [-1, 43], [1, 47]], [[1, 21], [1, 31]], [[1, 9], [1, 43]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 21], [-1, 25], [1, 29], [-1, 33], [1, 37], [-1, 41], [1, 45]], [[-1, 23], [-1, 29]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 23], [-1, 27], [1, 31], [-1, 35], [1, 39], [-1, 43], [1, 47]], [[1, 7], [1, 45]], [[-1, 5], [-1, 47]], [[1, 15], [1, 37]], [[-1, 17], [-1, 35]], [[-1, 9], [-1, 43]], [[-1, 7], [-1, 45]], [[-1, 21], [-1, 31]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 23], [1, 27], [-1, 31], [1, 35], [-1, 39], [1, 43], [-1, 47]], [[1, 11], [1, 41]], [[1, 23], [1, 29]], [[1, 21], [1, 31]], [[1, 19], [1, 33]], [[1, 25], [1, 27]], [[-1, 11], [-1, 41]], [[1, 15], [1, 37]], [[1, 5], [1, 47]], [[1, 11], [1, 41]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 23], [1, 27], [-1, 31], [1, 35], [-1, 39], [1, 43], [-1, 47]], [[1, 7], [1, 45]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 21], [-1, 25], [1, 29], [-1, 33], [1, 37], [-1, 41], [1, 45]], [[1, 17], [1, 35]], [[-1, 19], [-1, 33]], [[-1, 7], [-1, 45]]]}
  • id: 30650309
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 91, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m1', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 22], [1, -22]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[-1, 23], [-1, -23]], [[1, 19], [1, -19]], [[-1, 25], [-1, -25]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[-1, 19], [-1, -19]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 25], [1, -25]], [[1, 19], [1, -19]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 19], [-1, -19]], [[1, 9], [1, -9]], [[1, 25], [1, -25]], [[1, 21], [1, -21]], [[-1, 23], [-1, -23]], [[-1, 15], [-1, -15]], [[-1, 25], [-1, -25]], [[-1, 17], [-1, -17]], [[-1, 5], [-1, -5]], [[1, 23], [1, -23]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 23], [1, -23]], [[-1, 21], [-1, -21]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, -9]]]}
  • id: 30650181
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 100, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m10', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[1, 10], [1, -10]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[1, 20], [1, -20]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[1, 25], [1, -25]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 25], [-1, -25]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[1, 21], [1, -21]], [[-1, 19], [-1, -19]], [[-1, 23], [-1, -23]], [[-1, 9], [-1, -9]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[1, 23], [1, -23]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[-1, 1], [-1, -1]], [[1, 21], [1, -21]], [[-1, 17], [-1, -17]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 25], [1, -25]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 19], [-1, -19]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[-1, 23], [-1, -23]]]}
  • id: 30650182
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 101, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m11', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[-1, 17], [-1, -17]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[-1, 25], [-1, -25]], [[1, 3], [1, -3]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 25], [-1, -25]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[1, 19], [1, -19]], [[-1, 11], [-1, -11]], [[-1, 23], [-1, -23]], [[1, 15], [1, -15]], [[-1, 1], [-1, -1]], [[1, 17], [1, -17]], [[-1, 9], [-1, -9]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 25], [1, -25]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[-1, 23], [-1, -23]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 21], [1, -21]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 19], [-1, -19]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 23], [1, -23]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[1, 25], [1, -25]], [[1, 21], [1, -21]], [[1, 5], [1, -5]]]}
  • id: 30650183
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 102, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m12', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[-1, 9], [-1, -9]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 19], [1, -19]], [[-1, 25], [-1, -25]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 23], [1, -23]], [[1, 17], [1, -17]], [[1, 25], [1, -25]], [[-1, 23], [-1, -23]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 25], [-1, -25]], [[1, 9], [1, -9]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, -3]], [[1, 21], [1, -21]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 25], [1, -25]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 23], [1, -23]], [[-1, 19], [-1, -19]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 21], [1, -21]]]}
  • id: 30650184
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 103, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m13', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 22], [1, -22]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 17], [-1, -17]], [[1, 23], [1, -23]], [[-1, 19], [-1, -19]], [[1, 25], [1, -25]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[1, 19], [1, -19]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 19], [1, -19]], [[-1, 9], [-1, -9]], [[-1, 25], [-1, -25]], [[-1, 21], [-1, -21]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[1, 25], [1, -25]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[-1, 23], [-1, -23]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 23], [-1, -23]], [[1, 21], [1, -21]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 17], [1, -17]], [[1, 9], [1, -9]]]}
  • id: 30650185
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 104, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m14', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 23], [-1, -23]], [[-1, 19], [-1, -19]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, -25]], [[1, 23], [1, -23]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 25], [1, -25]], [[1, 23], [1, -23]], [[1, 19], [1, -19]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[-1, 23], [-1, -23]], [[1, 25], [1, -25]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 17], [-1, -17]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 17], [1, -17]]]}
  • id: 30650186
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 105, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m15', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 24], [-1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 25], [-1, -25]], [[-1, 25], [-1, -25]], [[1, 9], [1, -9]], [[-1, 21], [-1, -21]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[-1, 11], [-1, -11]], [[-1, 23], [-1, -23]], [[1, 17], [1, -17]], [[-1, 23], [-1, -23]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 21], [1, -21]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, -3]], [[1, 25], [1, -25]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[1, 23], [1, -23]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 25], [1, -25]], [[1, 1], [1, -1]]]}
  • id: 30650187
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 106, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m16', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 24], [-1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[-1, 24], [-1, -24]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[1, 19], [1, -19]], [[-1, 21], [-1, -21]], [[1, 15], [1, -15]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[1, 23], [1, -23]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 25], [1, -25]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[-1, 25], [-1, -25]], [[-1, 23], [-1, -23]], [[-1, 11], [-1, -11]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 23], [1, -23]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 25], [1, -25]]]}
  • id: 30650188
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 107, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m17', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 22], [1, -22]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 3], [-1, -3]], [[-1, 23], [-1, -23]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 25], [1, -25]], [[1, 19], [1, -19]], [[1, 19], [1, -19]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, -15]], [[1, 17], [1, -17]], [[-1, 25], [-1, -25]], [[-1, 23], [-1, -23]], [[-1, 9], [-1, -9]], [[1, 25], [1, -25]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[1, 23], [1, -23]], [[-1, 21], [-1, -21]], [[-1, 19], [-1, -19]], [[-1, 25], [-1, -25]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[1, 7], [1, -7]]]}
  • id: 30650189
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 108, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m18', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 20], [1, -20]], [[-1, 22], [-1, -22]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[-1, 23], [-1, -23]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 17], [-1, -17]], [[1, 1], [1, -1]], [[1, 21], [1, -21]], [[-1, 11], [-1, -11]], [[1, 21], [1, -21]], [[1, 25], [1, -25]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 25], [1, -25]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[1, 11], [1, -11]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, -15]], [[-1, 25], [-1, -25]], [[1, 19], [1, -19]], [[1, 23], [1, -23]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 19], [-1, -19]]]}
  • id: 30650190
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 109, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m19', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 24], [-1, -24]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[1, 25], [1, -25]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, -25]], [[-1, 3], [-1, -3]], [[1, 17], [1, -17]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[1, 23], [1, -23]], [[-1, 19], [-1, -19]], [[1, 21], [1, -21]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[1, 17], [1, -17]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 23], [1, -23]], [[-1, 25], [-1, -25]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[1, 3], [1, -3]], [[-1, 23], [-1, -23]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 19], [-1, -19]], [[1, 15], [1, -15]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[1, 25], [1, -25]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 11], [-1, -11]]]}
  • id: 30650310
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 92, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m2', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 23], [1, -23]], [[1, 19], [1, -19]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 25], [1, -25]], [[-1, 23], [-1, -23]], [[1, 25], [1, -25]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 25], [-1, -25]], [[-1, 23], [-1, -23]], [[-1, 19], [-1, -19]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, -21]], [[-1, 3], [-1, -3]], [[1, 23], [1, -23]], [[-1, 25], [-1, -25]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 17], [1, -17]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]]]}
  • id: 30650192
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 110, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m20', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 24], [-1, -24]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[-1, 24], [-1, -24]], [[-1, 10], [-1, -10]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 1], [1, -1]], [[-1, 25], [-1, -25]], [[-1, 1], [-1, -1]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[-1, 21], [-1, -21]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 23], [1, -23]], [[-1, 9], [-1, -9]], [[-1, 25], [-1, -25]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[-1, 5], [-1, -5]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 25], [1, -25]], [[-1, 17], [-1, -17]], [[1, 15], [1, -15]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 23], [-1, -23]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[1, 17], [1, -17]], [[-1, 21], [-1, -21]], [[1, 25], [1, -25]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[-1, 19], [-1, -19]], [[1, 21], [1, -21]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[-1, 23], [-1, -23]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]]]}
  • id: 30650193
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 111, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m21', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 10], [-1, -10]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 21], [-1, -21]], [[1, 5], [1, -5]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[-1, 19], [-1, -19]], [[-1, 23], [-1, -23]], [[-1, 23], [-1, -23]], [[1, 25], [1, -25]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[-1, 19], [-1, -19]], [[-1, 17], [-1, -17]], [[1, 1], [1, -1]], [[-1, 17], [-1, -17]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[1, 21], [1, -21]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 25], [1, -25]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[1, 19], [1, -19]], [[-1, 25], [-1, -25]], [[-1, 1], [-1, -1]], [[1, 17], [1, -17]], [[-1, 25], [-1, -25]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, -15]], [[1, 23], [1, -23]], [[-1, 3], [-1, -3]]]}
  • id: 30650194
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 112, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m22', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[1, 10], [1, -10]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 22], [-1, -22]], [[1, 20], [1, -20]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 5], [-1, -5]], [[1, 21], [1, -21]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 21], [1, -21]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 25], [1, -25]], [[-1, 9], [-1, -9]], [[-1, 19], [-1, -19]], [[-1, 17], [-1, -17]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[-1, 21], [-1, -21]], [[1, 19], [1, -19]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[1, 25], [1, -25]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[-1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[1, 1], [1, -1]], [[-1, 21], [-1, -21]], [[1, 17], [1, -17]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, -25]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 19], [1, -19]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[1, 23], [1, -23]]]}
  • id: 30650195
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 113, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m23', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[1, 17], [1, -17]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[1, 25], [1, -25]], [[-1, 3], [-1, -3]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 25], [1, -25]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[-1, 19], [-1, -19]], [[1, 11], [1, -11]], [[1, 23], [1, -23]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[-1, 17], [-1, -17]], [[1, 9], [1, -9]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 25], [-1, -25]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[1, 23], [1, -23]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 21], [-1, -21]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 19], [1, -19]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 23], [-1, -23]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[-1, 25], [-1, -25]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, -5]]]}
  • id: 30650196
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 114, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m24', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[1, 9], [1, -9]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 19], [-1, -19]], [[1, 25], [1, -25]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[-1, 25], [-1, -25]], [[1, 23], [1, -23]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 25], [1, -25]], [[-1, 9], [-1, -9]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[-1, 21], [-1, -21]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, -25]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[1, 17], [1, -17]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 23], [-1, -23]], [[1, 19], [1, -19]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 21], [1, -21]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 21], [-1, -21]]]}
  • id: 30650311
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 93, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m3', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 24], [-1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 19], [-1, -19]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 25], [1, -25]], [[1, 25], [1, -25]], [[-1, 9], [-1, -9]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 21], [-1, -21]], [[1, 11], [1, -11]], [[1, 23], [1, -23]], [[-1, 17], [-1, -17]], [[1, 23], [1, -23]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[-1, 5], [-1, -5]], [[-1, 21], [-1, -21]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[-1, 23], [-1, -23]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 25], [-1, -25]], [[-1, 1], [-1, -1]]]}
  • id: 30650312
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 94, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m4', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 24], [-1, -24]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[-1, 24], [-1, -24]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[-1, 19], [-1, -19]], [[1, 21], [1, -21]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[-1, 23], [-1, -23]], [[1, 9], [1, -9]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 25], [-1, -25]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, -5]], [[1, 25], [1, -25]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[-1, 17], [-1, -17]], [[-1, 7], [-1, -7]], [[-1, 23], [-1, -23]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[-1, 11], [-1, -11]], [[1, 25], [1, -25]], [[1, 19], [1, -19]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, -25]]]}
  • id: 30650313
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 95, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m5', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 20], [1, -20]], [[1, 22], [1, -22]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[-1, 19], [-1, -19]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[-1, 17], [-1, -17]], [[1, 25], [1, -25]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 23], [-1, -23]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[-1, 23], [-1, -23]], [[1, 21], [1, -21]], [[1, 19], [1, -19]], [[1, 25], [1, -25]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[-1, 7], [-1, -7]]]}
  • id: 30650314
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 96, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m6', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 20], [1, -20]], [[-1, 22], [-1, -22]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[1, 23], [1, -23]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 17], [1, -17]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, -21]], [[1, 11], [1, -11]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[1, 25], [1, -25]], [[1, 19], [1, -19]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 25], [-1, -25]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[-1, 11], [-1, -11]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[1, 25], [1, -25]], [[-1, 19], [-1, -19]], [[-1, 23], [-1, -23]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 19], [1, -19]]]}
  • id: 30650315
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 97, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m7', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 24], [-1, -24]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 25], [-1, -25]], [[1, 1], [1, -1]], [[1, 25], [1, -25]], [[1, 3], [1, -3]], [[-1, 17], [-1, -17]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[-1, 23], [-1, -23]], [[1, 19], [1, -19]], [[-1, 21], [-1, -21]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[-1, 17], [-1, -17]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 19], [-1, -19]], [[-1, 23], [-1, -23]], [[1, 25], [1, -25]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[1, 21], [1, -21]], [[-1, 3], [-1, -3]], [[1, 23], [1, -23]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 19], [1, -19]], [[-1, 15], [-1, -15]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 25], [-1, -25]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 11], [1, -11]]]}
  • id: 30650316
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 98, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m8', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[-1, 24], [-1, -24]], [[-1, 24], [-1, -24]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[-1, 24], [-1, -24]], [[-1, 10], [-1, -10]], [[1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[-1, 1], [-1, -1]], [[1, 25], [1, -25]], [[1, 1], [1, -1]], [[-1, 23], [-1, -23]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[1, 21], [1, -21]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 23], [-1, -23]], [[1, 9], [1, -9]], [[1, 25], [1, -25]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 19], [-1, -19]], [[1, 5], [1, -5]], [[-1, 19], [-1, -19]], [[-1, 17], [-1, -17]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 25], [-1, -25]], [[1, 17], [1, -17]], [[-1, 15], [-1, -15]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 23], [1, -23]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 17], [-1, -17]], [[1, 21], [1, -21]], [[-1, 25], [-1, -25]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, -5]], [[1, 19], [1, -19]], [[-1, 21], [-1, -21]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[-1, 1], [-1, -1]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]]]}
  • id: 30650317
    {'center': '104.b1.a1', 'center_index': 104, 'center_order': 8, 'counter': 99, 'cyclotomic_n': 104, 'dim': 2, 'faithful': False, 'field': [1, 0, -84, 0, 1141, 0, -5936, 0, 15622, 0, -23792, 0, 22580, 0, -13904, 0, 5645, 0, -1500, 0, 251, 0, -24, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.8', 'image_order': 208, 'indicator': -1, 'kernel': '208.e1.a1', 'kernel_order': 4, 'label': '832.40.2m9', 'nt': [208, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 20], [1, -20]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 24], [-1, -24]], [[-1, 10], [-1, -10]], [[1, 24], [1, -24]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 21], [1, -21]], [[-1, 5], [-1, -5]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, -15]], [[1, 19], [1, -19]], [[1, 23], [1, -23]], [[1, 23], [1, -23]], [[-1, 25], [-1, -25]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[-1, 1], [-1, -1]], [[1, 17], [1, -17]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[-1, 21], [-1, -21]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 25], [-1, -25]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 19], [-1, -19]], [[1, 25], [1, -25]], [[1, 1], [1, -1]], [[-1, 17], [-1, -17]], [[1, 25], [1, -25]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 21], [1, -21]], [[1, 15], [1, -15]], [[-1, 23], [-1, -23]], [[1, 3], [1, -3]]]}
  • id: 30650197
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 52, 'counter': 115, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '32.8', 'image_order': 32, 'indicator': -1, 'kernel': '32.c1.a1', 'kernel_order': 26, 'label': '832.40.4a', 'nt': [16, 40], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30650198
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 8, 'counter': 116, 'cyclotomic_n': 13, 'dim': 4, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.15', 'image_order': 208, 'indicator': 1, 'kernel': '208.c1.a1', 'kernel_order': 4, 'label': '832.40.4b1', 'nt': [104, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 1], [-2, -1]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 6], [2, -6]], [[2, 5], [2, -5]], [[-2, 6], [-2, -6]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30650199
    {'center': '104.a1.a1', 'center_index': 104, 'center_order': 8, 'counter': 117, 'cyclotomic_n': 13, 'dim': 4, 'faithful': False, 'field': [-1, -3, 6, 4, -5, -1, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '208.15', 'image_order': 208, 'indicator': 1, 'kernel': '208.c1.a1', 'kernel_order': 4, 'label': '832.40.4b2', 'nt': [104, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[-2, 5], [-2, -5]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 6], [-2, -6]], [[-2, 1], [-2, -1]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30650200
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  • id: 30650201
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  • id: 30650203
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  • id: 30650204
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  • id: 30650205
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  • id: 30650206
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  • id: 30650207
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  • id: 30650208
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  • id: 30650209
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  • id: 30650210
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  • id: 30650211
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  • id: 30650221
    {'center': '208.a1.a1', 'center_index': 208, 'center_order': 4, 'counter': 137, 'cyclotomic_n': 52, 'dim': 4, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '416.31', 'image_order': 416, 'indicator': -1, 'kernel': '416.c1.a1', 'kernel_order': 2, 'label': '832.40.4d10', 'nt': [208, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[-2, 12], [-2, -12]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 7], [2, -7]], [[-2, 1], [-2, -1]], [[-2, 7], [-2, -7]], [[-2, 11], [-2, -11]], [[-2, 11], [-2, -11]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[-2, 9], [-2, -9]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 7], [2, -7]], [[2, 9], [2, -9]], [[-2, 1], [-2, -1]], [[-2, 7], [-2, -7]], [[2, 3], [2, -3]], [[2, 11], [2, -11]], [[2, 5], [2, -5]], [[2, 11], [2, -11]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30650222
    {'center': '208.a1.a1', 'center_index': 208, 'center_order': 4, 'counter': 138, 'cyclotomic_n': 52, 'dim': 4, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '416.31', 'image_order': 416, 'indicator': -1, 'kernel': '416.c1.a1', 'kernel_order': 2, 'label': '832.40.4d11', 'nt': [208, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 12], [2, -12]], [[-2, 10], [-2, -10]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 10], [2, -10]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[-2, 10], [-2, -10]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[2, 9], [2, -9]], [[2, 7], [2, -7]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 7], [-2, -7]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 11], [2, -11]], [[-2, 11], [-2, -11]], [[-2, 11], [-2, -11]], [[2, 7], [2, -7]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 11], [2, -11]], [[-2, 7], [-2, -7]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 9], [-2, -9]], [[-2, 1], [-2, -1]], [[-2, 9], [-2, -9]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30650223
    {'center': '208.a1.a1', 'center_index': 208, 'center_order': 4, 'counter': 139, 'cyclotomic_n': 52, 'dim': 4, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '416.31', 'image_order': 416, 'indicator': -1, 'kernel': '416.c1.a1', 'kernel_order': 2, 'label': '832.40.4d12', 'nt': [208, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 12], [2, -12]], [[-2, 10], [-2, -10]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 10], [2, -10]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[-2, 10], [-2, -10]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 5], [2, -5]], [[-2, 9], [-2, -9]], [[-2, 7], [-2, -7]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 7], [2, -7]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 11], [-2, -11]], [[2, 11], [2, -11]], [[2, 11], [2, -11]], [[-2, 7], [-2, -7]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[-2, 11], [-2, -11]], [[2, 7], [2, -7]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 9], [2, -9]], [[2, 1], [2, -1]], [[2, 9], [2, -9]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30650212
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  • id: 30650214
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  • id: 30650215
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  • id: 30650216
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  • id: 30650217
    {'center': '208.a1.a1', 'center_index': 208, 'center_order': 4, 'counter': 133, 'cyclotomic_n': 52, 'dim': 4, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '416.31', 'image_order': 416, 'indicator': -1, 'kernel': '416.c1.a1', 'kernel_order': 2, 'label': '832.40.4d6', 'nt': [208, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10], [-2, -10]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-2, 2], [-2, -2]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[-2, 2], [-2, -2]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[2, 7], [2, -7]], [[2, 3], [2, -3]], [[-2, 11], [-2, -11]], [[-2, 7], [-2, -7]], [[2, 1], [2, -1]], [[2, 11], [2, -11]], [[-2, 1], [-2, -1]], [[-2, 9], [-2, -9]], [[-2, 9], [-2, -9]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 11], [-2, -11]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 11], [2, -11]], [[-2, 1], [-2, -1]], [[2, 7], [2, -7]], [[2, 9], [2, -9]], [[-2, 3], [-2, -3]], [[2, 9], [2, -9]], [[-2, 3], [-2, -3]], [[-2, 7], [-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30650218
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  • id: 30650219
    {'center': '208.a1.a1', 'center_index': 208, 'center_order': 4, 'counter': 135, 'cyclotomic_n': 52, 'dim': 4, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '416.31', 'image_order': 416, 'indicator': -1, 'kernel': '416.c1.a1', 'kernel_order': 2, 'label': '832.40.4d8', 'nt': [208, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 2], [-2, -2]], [[-2, 10], [-2, -10]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[-2, 6], [-2, -6]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 10], [2, -10]], [[2, 6], [2, -6]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[-2, 6], [-2, -6]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[-2, 10], [-2, -10]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[2, 11], [2, -11]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 11], [-2, -11]], [[2, 9], [2, -9]], [[2, 5], [2, -5]], [[-2, 9], [-2, -9]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 7], [-2, -7]], [[2, 7], [2, -7]], [[2, 7], [2, -7]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 9], [2, -9]], [[-2, 7], [-2, -7]], [[2, 5], [2, -5]], [[-2, 9], [-2, -9]], [[2, 11], [2, -11]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 11], [-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30650220
    {'center': '208.a1.a1', 'center_index': 208, 'center_order': 4, 'counter': 136, 'cyclotomic_n': 52, 'dim': 4, 'faithful': False, 'field': [13, 0, -91, 0, 182, 0, -156, 0, 65, 0, -13, 0, 1], 'group': '832.40', 'group_counter': 40, 'group_order': 832, 'image': None, 'image_isoclass': '416.31', 'image_order': 416, 'indicator': -1, 'kernel': '416.c1.a1', 'kernel_order': 2, 'label': '832.40.4d9', 'nt': [208, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[-2, 12], [-2, -12]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 7], [-2, -7]], [[2, 1], [2, -1]], [[2, 7], [2, -7]], [[2, 11], [2, -11]], [[2, 11], [2, -11]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 7], [-2, -7]], [[-2, 9], [-2, -9]], [[2, 1], [2, -1]], [[2, 7], [2, -7]], [[-2, 3], [-2, -3]], [[-2, 11], [-2, -11]], [[-2, 5], [-2, -5]], [[-2, 11], [-2, -11]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 111180661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 832, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 26, 'label': '832.40.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '832.40', 'subgroup_hash': 40, 'subgroup_order': 832, 'subgroup_tex': 'C_{52}.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 416, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '416.90', 'subgroup_hash': 90, 'subgroup_order': 416, 'subgroup_tex': 'C_{52}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 104, 'characteristic': True, 'core_order': 416, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '416.55', 'subgroup_hash': 55, 'subgroup_order': 416, 'subgroup_tex': 'C_4:C_{104}', 'supersolvable': True, 'sylow': 0}
  • id: 111180694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 416, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.2.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': '416.11', 'subgroup_hash': 11, 'subgroup_order': 416, 'subgroup_tex': 'C_{52}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180705
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': True, 'core_order': 208, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.4.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': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '208.20', 'subgroup_hash': 20, 'subgroup_order': 208, 'subgroup_tex': 'C_4\\times C_{52}', 'supersolvable': True, 'sylow': 0}
  • id: 111180716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 208, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '208.13', 'subgroup_hash': 13, 'subgroup_order': 208, 'subgroup_tex': 'C_{52}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 208, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '208.13', 'subgroup_hash': 13, 'subgroup_order': 208, 'subgroup_tex': 'C_{52}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 104, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '208.35', 'subgroup_hash': 35, 'subgroup_order': 208, 'subgroup_tex': 'C_{26}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180724
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': False, 'core_order': 104, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '208.23', 'subgroup_hash': 23, 'subgroup_order': 208, 'subgroup_tex': 'C_2\\times C_{104}', 'supersolvable': True, 'sylow': 0}
  • id: 111180662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 104, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1.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': '208.13', 'subgroup_hash': 13, 'subgroup_order': 208, 'subgroup_tex': 'C_{52}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180663
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 104, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.f1.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': '208.9', 'subgroup_hash': 9, 'subgroup_order': 208, 'subgroup_tex': 'C_{26}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180664
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 104, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.8.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': '8.3', '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '104.9', 'subgroup_hash': 9, 'subgroup_order': 104, 'subgroup_tex': 'C_2\\times C_{52}', 'supersolvable': True, 'sylow': 0}
  • id: 111180665
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': True, 'core_order': 104, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.8.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': '8.3', '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': '104.9', 'subgroup_hash': 9, 'subgroup_order': 104, 'subgroup_tex': 'C_2\\times C_{52}', 'supersolvable': True, 'sylow': 0}
  • id: 111180666
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': True, 'core_order': 104, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.8.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': '8.2', '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': '104.9', 'subgroup_hash': 9, 'subgroup_order': 104, 'subgroup_tex': 'C_2\\times C_{52}', 'supersolvable': True, 'sylow': 0}
  • id: 111180667
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 52, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': '104.7', 'subgroup_hash': 7, 'subgroup_order': 104, 'subgroup_tex': 'C_{26}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180668
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 52, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, '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': '104.7', 'subgroup_hash': 7, 'subgroup_order': 104, 'subgroup_tex': 'C_{26}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 52, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.e1.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': 8, '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': '104.4', 'subgroup_hash': 4, 'subgroup_order': 104, 'subgroup_tex': 'C_{13}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 52, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.f1.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': 8, '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': '104.4', 'subgroup_hash': 4, 'subgroup_order': 104, 'subgroup_tex': 'C_{13}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180671
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': False, 'core_order': 52, 'counter': 19, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '832.40.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.g1.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': 8, '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': '104.2', 'subgroup_hash': 2, 'subgroup_order': 104, 'subgroup_tex': 'C_{104}', 'supersolvable': True, 'sylow': 0}
  • id: 111180673
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 52, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1.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': 8, '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': '104.1', 'subgroup_hash': 1, 'subgroup_order': 104, 'subgroup_tex': 'C_{13}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '832.40.13.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13.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': 13, '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': '64.13', 'subgroup_hash': 13, 'subgroup_order': 64, 'subgroup_tex': 'C_4.D_8', 'supersolvable': True, 'sylow': 2}
  • id: 111180675
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 52, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'L2', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '52.5', 'subgroup_hash': 5, 'subgroup_order': 52, 'subgroup_tex': 'C_2\\times C_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 111180676
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 52, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '52.2', 'subgroup_hash': 2, 'subgroup_order': 52, 'subgroup_tex': 'C_{52}', 'supersolvable': True, 'sylow': 0}
  • id: 111180677
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 52, 'counter': 24, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '52.2', 'subgroup_hash': 2, 'subgroup_order': 52, 'subgroup_tex': 'C_{52}', 'supersolvable': True, 'sylow': 0}
  • id: 111180678
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': True, 'core_order': 52, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '52.2', 'subgroup_hash': 2, 'subgroup_order': 52, 'subgroup_tex': 'C_{52}', 'supersolvable': True, 'sylow': 0}
  • id: 111180679
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': True, 'core_order': 52, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '52.2', 'subgroup_hash': 2, 'subgroup_order': 52, 'subgroup_tex': 'C_{52}', 'supersolvable': True, 'sylow': 0}
  • id: 111180680
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 26, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.f1.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': 16, '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': '52.1', 'subgroup_hash': 1, 'subgroup_order': 52, 'subgroup_tex': 'C_{13}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180681
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 26, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.16.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.f1.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': 16, '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': '52.1', 'subgroup_hash': 1, 'subgroup_order': 52, 'subgroup_tex': 'C_{13}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180682
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': False, 'core_order': 26, 'counter': 29, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '832.40.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.g1.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': 16, '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': '52.2', 'subgroup_hash': 2, 'subgroup_order': 52, 'subgroup_tex': 'C_{52}', 'supersolvable': True, 'sylow': 0}
  • id: 111180684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 104, 'characteristic': True, 'core_order': 32, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.26.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '26.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '26.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 26, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{13}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.12', 'subgroup_hash': 12, 'subgroup_order': 32, 'subgroup_tex': 'C_4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.26.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '26.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': 26, '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': '32.35', 'subgroup_hash': 35, 'subgroup_order': 32, 'subgroup_tex': 'C_4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.26.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '26.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': 26, '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': '32.12', 'subgroup_hash': 12, 'subgroup_order': 32, 'subgroup_tex': 'C_4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180687
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 26, 'counter': 33, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '26.2', 'subgroup_hash': 2, 'subgroup_order': 26, 'subgroup_tex': 'C_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 111180688
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 26, 'counter': 34, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '26.2', 'subgroup_hash': 2, 'subgroup_order': 26, 'subgroup_tex': 'C_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 111180689
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 26, 'counter': 35, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '26.2', 'subgroup_hash': 2, 'subgroup_order': 26, 'subgroup_tex': 'C_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 111180690
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': True, 'core_order': 16, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.52.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '52.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '52.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 52, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{26}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 111180691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.52.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.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': 52, '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': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180692
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': False, 'core_order': 8, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.52.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.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': 52, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.52.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.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': 52, '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': 0}
  • id: 111180695
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.52.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.e1.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': 52, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.52.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.f1.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': 52, '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': 0}
  • id: 111180697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.52.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.f1.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': 52, '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': 0}
  • id: 111180698
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 13, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 13, 'label': '832.40.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_8', 'simple': True, 'solvable': True, 'special_labels': ['L3', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '13.1', 'subgroup_hash': 1, 'subgroup_order': 13, 'subgroup_tex': 'C_{13}', 'supersolvable': True, 'sylow': 13}
  • id: 111180699
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 8, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.104.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '104.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '104.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 104, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{13}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180700
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 8, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.104.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '104.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '104.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 104, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{52}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180701
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': True, 'core_order': 8, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.104.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '104.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '104.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 104, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{13}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180702
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.104.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '104.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': 104, '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: 111180703
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.104.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '104.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 104, '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: 111180704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.104.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '104.e1.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': 104, '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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '832.40.104.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '104.f1.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': 104, '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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180707
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': False, 'core_order': 4, 'counter': 51, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '832.40.104.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '104.g1.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': 104, '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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180708
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 52, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '832.40.104.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '104.h1.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': 104, '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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111180709
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 832, 'characteristic': True, 'core_order': 4, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '832.40.208.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '208.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '208.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 208, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{26}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 111180710
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 4, 'counter': 54, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.208.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '208.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '208.17', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 208, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8:D_{13}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180711
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 4, 'counter': 55, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.208.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '208.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '208.15', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 208, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{13}:D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180712
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 4, 'counter': 56, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.208.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '208.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '208.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 208, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{104}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180713
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 416, 'characteristic': True, 'core_order': 4, 'counter': 57, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.208.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '208.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '208.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 208, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{13}:Q_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111180714
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 58, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '832.40.208.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '208.f1.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': 208, '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: 111180715
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 59, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '832.40.208.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '208.f1.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': 208, '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: 111180717
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 208, 'characteristic': False, 'core_order': 2, 'counter': 60, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '832.40.208.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '208.g1.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': 208, '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: 111180718
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 832, 'characteristic': True, 'core_order': 2, 'counter': 61, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.416.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '416.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '416.16', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 416, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{52}:C_4', '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: 111180719
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 832, 'characteristic': True, 'core_order': 2, 'counter': 62, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.416.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '416.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '416.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 416, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{52}.D_4', '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: 111180720
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 832, 'characteristic': True, 'core_order': 2, 'counter': 63, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '832.40.416.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '416.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '416.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 416, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_{52}', '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: 111180721
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '832.40', 'ambient_counter': 40, 'ambient_order': 832, 'ambient_tex': 'C_{52}.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 832, 'characteristic': True, 'core_order': 1, 'counter': 64, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '832.40.832.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '832.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '832.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 832, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{52}.D_8', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 111180661
    {'ambient': '832.40', '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': '208.a1.a1', 'complements': ['832.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '13.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5324, 7289, 7269, 3522, 5559, 4338, 6250, 4250], 'generators': [1, 416, 212, 624, 2, 64, 8], 'label': '832.40.1.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': '208.14', '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': '208.14'}
  • id: 111180662
    {'ambient': '832.40', 'aut_centralizer_order': 8, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2496.m', 'aut_weyl_index': 16, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '8.d1.b1', '52.d1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2685, -1, 3351, -1, 7078, -1, 5645, -1], 'generators': [3, 8, 416, 4, 64], 'label': '832.40.4.e1.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.e1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '104.13'}
  • id: 111180663
    {'ambient': '832.40', 'aut_centralizer_order': 16, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1248.1435', 'aut_weyl_index': 32, 'centralizer': '104.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.b1.a1', '8.h1.a1', '52.e1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [751, -1, 8995, -1, 8735, -1, 8909, -1], 'generators': [2, 4, 8, 416, 64], 'label': '832.40.4.f1.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.f1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '52.4'}
  • id: 111180664
    {'ambient': '832.40', 'aut_centralizer_order': 1664, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1664, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.c1.a1', '4.d1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '104.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7271, 8954, 4096, 841, 3028, 7406, 1471, 7417], 'generators': [8, 64, 416, 624], 'label': '832.40.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '104.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '208.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180665
    {'ambient': '832.40', 'aut_centralizer_order': 1664, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1664, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.e1.a1', '4.f1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.e1.a1', '104.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1190, 2671, 8602, 7709, 8173, 2594, 8424, 2594], 'generators': [4, 64, 8, 416], 'label': '832.40.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.e1.a1', '16.d1.a1', '104.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '208.14', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180666
    {'ambient': '832.40', 'aut_centralizer_order': 832, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '48.44', 'aut_weyl_index': 832, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'contains': ['16.a1.a1', '16.g1.a1', '104.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3304, 6765, 6241, 2732, 6293, 4437, 7243, 5618], 'generators': [212, 64, 424, 416], 'label': '832.40.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'normal_contains': ['16.a1.a1', '104.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '208.14', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180667
    {'ambient': '832.40', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '624.239', 'aut_weyl_index': 64, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.c1.a1', '4.e1.a1'], 'contains': ['16.a1.a1', '16.f1.a1', '104.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5194, -1, 2812, -1, 4786, -1, 5060, -1], 'generators': [627, 416, 64, 8], 'label': '832.40.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '104.13'}
  • id: 111180668
    {'ambient': '832.40', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '624.239', 'aut_weyl_index': 64, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '4.c1.a1', '4.e1.a1'], 'contains': ['16.a1.a1', '16.f1.b1', '104.d1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5194, -1, 1835, -1, 4786, -1, 4129, -1], 'generators': [3, 416, 64, 8], 'label': '832.40.8.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '104.13'}
  • id: 111180669
    {'ambient': '832.40', 'aut_centralizer_order': 8, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1248.1162', 'aut_weyl_index': 32, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.b1.a1', '16.f1.a1', '16.f1.b1', '104.e1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8142, -1, 254, -1, 2244, -1, 2718, -1], 'generators': [3, 416, 64, 624], 'label': '832.40.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '8.e1.a1', 'projective_image': '416.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '52.4'}
  • id: 111180670
    {'ambient': '832.40', 'aut_centralizer_order': 8, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1248.1162', 'aut_weyl_index': 32, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.c1.a1', '16.f1.a1', '16.f1.b1', '104.f1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6399, -1, 854, -1, 1582, -1, 2147, -1], 'generators': [3, 416, 64, 632], 'label': '832.40.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '8.f1.a1', 'projective_image': '416.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '52.4'}
  • id: 111180671
    {'ambient': '832.40', 'aut_centralizer_order': 208, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 832, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.c1.a1', '104.g1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9755, -1, 4947, -1, 220, -1, 190, -1], 'generators': [1, 632, 416, 64], 'label': '832.40.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '8.g1.a1', 'projective_image': '416.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111180672
    {'ambient': '832.40', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '208.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '4.c1.a1', '4.e1.a1', '26.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4576, 7289, 4348, 2013, 5921, 2903, 5938, 5684], 'generators': [3, 64, 624, 424, 212, 416], 'label': '832.40.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '208.14'}
  • id: 111180673
    {'ambient': '832.40', 'aut_centralizer_order': 16, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '624.239', 'aut_weyl_index': 64, 'centralizer': '104.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.d1.a1', '104.h1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [312, -1, 9746, -1, 9719, -1, 9758, -1], 'generators': [2, 8, 64, 4], 'label': '832.40.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '8.h1.a1', 'projective_image': '416.23', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '26.1'}
  • id: 111180674
    {'ambient': '832.40', 'aut_centralizer_order': 12, 'aut_label': '13.a1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '256.55683', 'aut_weyl_index': 156, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['26.a1.a1', '26.b1.a1', '26.c1.a1'], 'core': '26.a1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [4966, -1, 7490, -1, 5197, -1, 6562, -1], 'generators': [1, 2], 'label': '832.40.13.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '13.a1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 111180675
    {'ambient': '832.40', 'aut_centralizer_order': 3328, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.2', 'aut_weyl_index': 3328, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.d1.b1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '208.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3223, 4054, 5990, 6247, 5459, 4250, 5972, 5751], 'generators': [8, 64, 416], 'label': '832.40.16.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.b1.a1', '32.a1.a1', '32.c1.a1', '208.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '208.14', '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: 111180676
    {'ambient': '832.40', 'aut_centralizer_order': 1664, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1664, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.e1.a1'], 'contains': ['32.a1.a1', '208.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8000, 7986, 2994, 2292, 2845, 9614, 2219, 8643], 'generators': [624, 416, 64], 'label': '832.40.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '208.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '416.16', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.4', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180677
    {'ambient': '832.40', 'aut_centralizer_order': 1664, 'aut_label': '16.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1664, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '208.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7221, 9168, 4076, 678, 1288, 8643, 1144, 9614], 'generators': [632, 416, 64], 'label': '832.40.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '208.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '416.16', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180678
    {'ambient': '832.40', 'aut_centralizer_order': 1664, 'aut_label': '16.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1664, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.h1.a1'], 'contains': ['32.b1.a1', '208.d1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [349, 1825, 9045, 9322, 8651, 1358, 8726, 386], 'generators': [4, 8, 64], 'label': '832.40.16.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.b1.a1', '208.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '416.23', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180679
    {'ambient': '832.40', 'aut_centralizer_order': 1664, 'aut_label': '16.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1664, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1'], 'contains': ['32.b1.a1', '208.e1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1190, 470, 8411, 7709, 8162, 386, 8304, 1358], 'generators': [420, 8, 64], 'label': '832.40.16.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.b1.a1', '208.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.a1', 'projective_image': '416.23', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180680
    {'ambient': '832.40', 'aut_centralizer_order': 16, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '312.45', 'aut_weyl_index': 128, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.e1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '208.f1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5905, -1, 1226, -1, 2266, -1, 3985, -1], 'generators': [627, 64, 416], 'label': '832.40.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '16.f1.a1', 'projective_image': '416.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': '52.4'}
  • id: 111180681
    {'ambient': '832.40', 'aut_centralizer_order': 16, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '312.45', 'aut_weyl_index': 128, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '8.e1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '208.f1.b1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5905, -1, 1825, -1, 2266, -1, 3064, -1], 'generators': [3, 64, 416], 'label': '832.40.16.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '16.f1.b1', 'projective_image': '416.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.b1', 'subgroup_fusion': None, 'weyl_group': '52.4'}
  • id: 111180682
    {'ambient': '832.40', 'aut_centralizer_order': 832, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1664, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1'], 'contains': ['32.c1.a1', '208.g1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1740, -1, 7389, -1, 6916, -1, 7229, -1], 'generators': [212, 424, 64], 'label': '832.40.16.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.g1.a1', 'projective_image': '416.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180683
    {'ambient': '832.40', 'aut_centralizer_order': 104, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.19882', 'aut_weyl_index': 104, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '26.a1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7747, 9530, 6583, 5343, 3996, 6071, 5137, 2517], 'generators': [1, 416, 64, 632, 212, 208], 'label': '832.40.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '26.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '208.14', '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': '8.3'}
  • id: 111180684
    {'ambient': '832.40', 'aut_centralizer_order': 1248, 'aut_label': '26.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 1248, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '13.a1.a1'], 'contains': ['52.a1.a1', '52.c1.a1'], 'core': '26.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7228, 8335, 6811, 5087, 3195, 5983, 5137, 2616], 'generators': [1, 212], 'label': '832.40.26.a1.a1', 'mobius_quo': 0, 'mobius_sub': 13, 'normal_closure': '26.a1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['52.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '26.a1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 111180685
    {'ambient': '832.40', 'aut_centralizer_order': 48, 'aut_label': '26.b1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '64.226', 'aut_weyl_index': 624, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '13.a1.a1'], 'contains': ['52.a1.a1', '52.b1.a1', '52.d1.a1', '52.f1.a1', '52.f1.b1'], 'core': '52.a1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [4483, -1, 4715, -1, 5581, -1, 6154, -1], 'generators': [3, 212, 624], 'label': '832.40.26.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '26.b1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26.b1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 111180686
    {'ambient': '832.40', 'aut_centralizer_order': 96, 'aut_label': '26.c1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '32.46', 'aut_weyl_index': 1248, 'centralizer': '104.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '13.a1.a1'], 'contains': ['52.a1.a1', '52.e1.a1'], 'core': '52.a1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [3681, -1, 8038, -1, 7667, -1, 7954, -1], 'generators': [2, 624], 'label': '832.40.26.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '26.c1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 111180687
    {'ambient': '832.40', 'aut_centralizer_order': 3328, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.2', 'aut_weyl_index': 3328, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.f1.a1', '16.f1.b1'], 'contains': ['64.a1.a1', '416.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5578, 6954, 3059, 2721, 2845, 7605, 3102, 7903], 'generators': [416, 64], 'label': '832.40.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normal_contains': ['64.a1.a1', '416.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '416.16', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.4', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180688
    {'ambient': '832.40', 'aut_centralizer_order': 3328, 'aut_label': '32.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.2', 'aut_weyl_index': 3328, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.d1.a1', '16.e1.a1'], 'contains': ['64.a1.a1', '416.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1406, 1825, 8175, 7280, 7984, 2097, 8150, 2395], 'generators': [8, 64], 'label': '832.40.32.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1', '16.e1.a1', '16.d1.a1'], 'normal_contains': ['64.a1.a1', '416.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '416.23', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180689
    {'ambient': '832.40', 'aut_centralizer_order': 3328, 'aut_label': '32.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.2', 'aut_weyl_index': 3328, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.g1.a1'], 'contains': ['64.a1.a1', '416.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1950, 3825, 6719, 6259, 5931, 4250, 6346, 5751], 'generators': [424, 64], 'label': '832.40.32.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '416.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '416.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.6', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180690
    {'ambient': '832.40', 'aut_centralizer_order': 9984, 'aut_label': '52.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 9984, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '26.a1.a1', '26.b1.a1', '26.c1.a1'], 'contains': ['104.a1.a1', '104.b1.a1', '104.c1.a1'], 'core': '52.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4248, 5651, 7168, 4588, 6977, 5905, 7834, 4073], 'generators': [212, 624], 'label': '832.40.52.a1.a1', 'mobius_quo': 0, 'mobius_sub': -26, 'normal_closure': '52.a1.a1', 'normal_contained_in': ['4.a1.a1', '26.a1.a1'], 'normal_contains': ['104.a1.a1', '104.b1.a1', '104.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '52.a1.a1', 'projective_image': '208.14', 'quotient_action_image': '4.2', 'quotient_action_kernel': '13.1', 'quotient_action_kernel_order': 13, 'quotient_fusion': None, 'short_label': '52.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180691
    {'ambient': '832.40', 'aut_centralizer_order': 96, 'aut_label': '52.b1', 'aut_quo_index': None, 'aut_stab_index': 26, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2496, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '26.b1.a1'], 'contains': ['104.a1.a1', '104.d1.a1', '104.d1.b1', '104.e1.a1', '104.f1.a1'], 'core': '104.a1.a1', 'coset_action_label': None, 'count': 26, 'diagramx': [6789, -1, 2611, -1, 3863, -1, 3333, -1], 'generators': [3, 8, 624], 'label': '832.40.52.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '26.b1.a1', 'old_label': '52.b1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 111180692
    {'ambient': '832.40', 'aut_centralizer_order': 2496, 'aut_label': '52.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 4992, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '26.a1.a1'], 'contains': ['104.a1.a1', '104.g1.a1'], 'core': '104.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8167, -1, 5662, -1, 870, -1, 751, -1], 'generators': [1, 624], 'label': '832.40.52.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '26.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '52.c1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180693
    {'ambient': '832.40', 'aut_centralizer_order': 96, 'aut_label': '52.d1', 'aut_quo_index': None, 'aut_stab_index': 26, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2496, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '26.b1.a1'], 'contains': ['104.b1.a1', '104.d1.a1', '104.d1.b1'], 'core': '104.b1.a1', 'coset_action_label': None, 'count': 26, 'diagramx': [3476, -1, 3507, -1, 7461, -1, 6188, -1], 'generators': [3, 4], 'label': '832.40.52.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '26.b1.a1', 'old_label': '52.d1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 111180694
    {'ambient': '832.40', 'aut_centralizer_order': 8, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '104.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.f1.a1', '26.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2877, 5544, 8094, 3522, 7322, 4338, 7646, 4250], 'generators': [2, 64, 4, 416, 624, 8], 'label': '832.40.2.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': '208.14', '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': '104.6'}
  • id: 111180695
    {'ambient': '832.40', 'aut_centralizer_order': 192, 'aut_label': '52.e1', 'aut_quo_index': None, 'aut_stab_index': 26, 'aut_weyl_group': '8.5', 'aut_weyl_index': 4992, 'centralizer': '52.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '26.c1.a1'], 'contains': ['104.b1.a1', '104.h1.a1'], 'core': '104.b1.a1', 'coset_action_label': None, 'count': 26, 'diagramx': [819, -1, 8995, -1, 9007, -1, 9144, -1], 'generators': [2, 416], 'label': '832.40.52.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '26.c1.a1', 'old_label': '52.e1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180696
    {'ambient': '832.40', 'aut_centralizer_order': 48, 'aut_label': '52.f1', 'aut_quo_index': None, 'aut_stab_index': 26, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1248, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '26.b1.a1'], 'contains': ['104.c1.a1', '104.d1.a1'], 'core': '104.c1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [4786, -1, 4897, -1, 5581, -1, 6629, -1], 'generators': [627, 212], 'label': '832.40.52.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '52.f1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.f1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 111180697
    {'ambient': '832.40', 'aut_centralizer_order': 48, 'aut_label': '52.f1', 'aut_quo_index': None, 'aut_stab_index': 26, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1248, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '26.b1.a1'], 'contains': ['104.c1.a1', '104.d1.b1'], 'core': '104.c1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [4786, -1, 4433, -1, 5581, -1, 5746, -1], 'generators': [3, 212], 'label': '832.40.52.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '52.f1.b1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.f1.b1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 111180698
    {'ambient': '832.40', 'aut_centralizer_order': 3328, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.2', 'aut_weyl_index': 3328, 'centralizer': '2.b1.a1', 'complements': ['13.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'contains': ['832.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1980, 2980, 6619, 6526, 6154, 4250, 6154, 5751], 'generators': [64], 'label': '832.40.64.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.b1.a1', '32.a1.a1', '32.c1.a1'], 'normal_contains': ['832.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '832.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.12', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180699
    {'ambient': '832.40', 'aut_centralizer_order': 19968, 'aut_label': '104.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 19968, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '52.a1.a1', '52.b1.a1', '52.c1.a1'], 'contains': ['208.a1.a1', '208.b1.a1', '208.c1.a1'], 'core': '104.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6986, 8644, 4328, 2767, 3868, 7406, 1682, 7406], 'generators': [8, 624], 'label': '832.40.104.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '104.a1.a1', 'normal_contained_in': ['8.a1.a1', '52.a1.a1'], 'normal_contains': ['208.a1.a1', '208.b1.a1', '208.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '104.a1.a1', 'projective_image': '208.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '52.5', 'quotient_action_kernel_order': 52, 'quotient_fusion': None, 'short_label': '104.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180700
    {'ambient': '832.40', 'aut_centralizer_order': 19968, 'aut_label': '104.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 19968, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '52.a1.a1', '52.d1.a1', '52.e1.a1'], 'contains': ['208.a1.a1', '208.d1.a1', '208.e1.a1'], 'core': '104.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1122, 2148, 7737, 7953, 7539, 2594, 7766, 2594], 'generators': [4, 416], 'label': '832.40.104.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '104.b1.a1', 'normal_contained_in': ['8.b1.a1', '52.a1.a1'], 'normal_contains': ['208.a1.a1', '208.e1.a1', '208.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '104.b1.a1', 'projective_image': '208.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '52.4', 'quotient_action_kernel_order': 52, 'quotient_fusion': None, 'short_label': '104.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180701
    {'ambient': '832.40', 'aut_centralizer_order': 9984, 'aut_label': '104.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 9984, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '52.a1.a1', '52.f1.a1', '52.f1.b1'], 'contains': ['208.a1.a1', '208.g1.a1'], 'core': '104.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3613, 5799, 6292, 4344, 6293, 5905, 6692, 4095], 'generators': [212, 416], 'label': '832.40.104.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '104.c1.a1', 'normal_contained_in': ['8.c1.a1', '52.a1.a1'], 'normal_contains': ['208.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '104.c1.a1', 'projective_image': '208.14', 'quotient_action_image': '4.2', 'quotient_action_kernel': '26.2', 'quotient_action_kernel_order': 26, 'quotient_fusion': None, 'short_label': '104.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180702
    {'ambient': '832.40', 'aut_centralizer_order': 192, 'aut_label': '104.d1', 'aut_quo_index': None, 'aut_stab_index': 52, 'aut_weyl_group': '4.2', 'aut_weyl_index': 9984, 'centralizer': '104.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '52.b1.a1', '52.d1.a1', '52.f1.a1'], 'contains': ['208.a1.a1', '208.f1.a1'], 'core': '208.a1.a1', 'coset_action_label': None, 'count': 26, 'diagramx': [5033, -1, 3396, -1, 4625, -1, 5252, -1], 'generators': [627, 8], 'label': '832.40.104.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '26.b1.a1', 'old_label': '104.d1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '104.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180703
    {'ambient': '832.40', 'aut_centralizer_order': 192, 'aut_label': '104.d1', 'aut_quo_index': None, 'aut_stab_index': 52, 'aut_weyl_group': '4.2', 'aut_weyl_index': 9984, 'centralizer': '104.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '52.b1.a1', '52.d1.a1', '52.f1.b1'], 'contains': ['208.a1.a1', '208.f1.b1'], 'core': '208.a1.a1', 'coset_action_label': None, 'count': 26, 'diagramx': [5033, -1, 2606, -1, 4625, -1, 4599, -1], 'generators': [3, 8], 'label': '832.40.104.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '26.b1.a1', 'old_label': '104.d1.b1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '104.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180704
    {'ambient': '832.40', 'aut_centralizer_order': 96, 'aut_label': '104.e1', 'aut_quo_index': None, 'aut_stab_index': 52, 'aut_weyl_group': '8.3', 'aut_weyl_index': 4992, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '52.b1.a1'], 'contains': ['208.b1.a1', '208.f1.a1', '208.f1.b1'], 'core': '208.b1.a1', 'coset_action_label': None, 'count': 52, 'diagramx': [7876, -1, 763, -1, 3290, -1, 3524, -1], 'generators': [3, 624], 'label': '832.40.104.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '52.b1.a1', 'old_label': '104.e1.a1', 'projective_image': '416.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '104.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180705
    {'ambient': '832.40', 'aut_centralizer_order': 832, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '48.44', 'aut_weyl_index': 832, 'centralizer': '4.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', '52.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3618, 5544, 6327, 3904, 6293, 4459, 7339, 4073], 'generators': [212, 64, 424, 624, 416], 'label': '832.40.4.a1.a1', 'mobius_quo': 0, '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', '52.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '208.14', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180706
    {'ambient': '832.40', 'aut_centralizer_order': 96, 'aut_label': '104.f1', 'aut_quo_index': None, 'aut_stab_index': 52, 'aut_weyl_group': '8.3', 'aut_weyl_index': 4992, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '52.b1.a1'], 'contains': ['208.c1.a1', '208.f1.a1', '208.f1.b1'], 'core': '208.c1.a1', 'coset_action_label': None, 'count': 52, 'diagramx': [6319, -1, 1316, -1, 1733, -1, 2603, -1], 'generators': [3, 632], 'label': '832.40.104.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '52.b1.a1', 'old_label': '104.f1.a1', 'projective_image': '416.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '104.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 111180707
    {'ambient': '832.40', 'aut_centralizer_order': 2496, 'aut_label': '104.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 9984, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '52.c1.a1'], 'contains': ['208.c1.a1'], 'core': '208.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8321, -1, 4952, -1, 843, -1, 751, -1], 'generators': [1], 'label': '832.40.104.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '26.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '104.g1.a1', 'projective_image': '416.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '104.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111180708
    {'ambient': '832.40', 'aut_centralizer_order': 192, 'aut_label': '104.h1', 'aut_quo_index': None, 'aut_stab_index': 52, 'aut_weyl_group': '4.2', 'aut_weyl_index': 9984, 'centralizer': '52.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '52.e1.a1'], 'contains': ['208.d1.a1'], 'core': '208.d1.a1', 'coset_action_label': None, 'count': 52, 'diagramx': [245, -1, 9711, -1, 9096, -1, 9144, -1], 'generators': [2], 'label': '832.40.104.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '52.e1.a1', 'old_label': '104.h1.a1', 'projective_image': '416.23', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '104.h1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111180709
    {'ambient': '832.40', 'aut_centralizer_order': 39936, 'aut_label': '208.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 39936, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '104.a1.a1', '104.b1.a1', '104.c1.a1', '104.d1.a1', '104.d1.b1'], 'contains': ['416.a1.a1', '416.b1.a1', '416.c1.a1'], 'core': '208.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3464, 4631, 5854, 5098, 5459, 5188, 5938, 4813], 'generators': [8, 416], 'label': '832.40.208.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '208.a1.a1', 'normal_contained_in': ['16.a1.a1', '104.a1.a1', '104.b1.a1', '104.c1.a1'], 'normal_contains': ['416.b1.a1', '416.a1.a1', '416.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '208.a1.a1', 'projective_image': '208.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '208.14', 'quotient_action_kernel_order': 208, 'quotient_fusion': None, 'short_label': '208.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111180710
    {'ambient': '832.40', 'aut_centralizer_order': 19968, 'aut_label': '208.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 19968, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '104.a1.a1', '104.e1.a1'], 'contains': ['416.a1.a1'], 'core': '208.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7660, 7705, 1573, 2361, 3690, 8488, 2488, 7020], 'generators': [624], 'label': '832.40.208.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '208.b1.a1', 'normal_contained_in': ['16.b1.a1', '104.a1.a1'], 'normal_contains': ['416.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '208.b1.a1', 'projective_image': '416.16', 'quotient_action_image': '2.1', 'quotient_action_kernel': '104.11', 'quotient_action_kernel_order': 104, 'quotient_fusion': None, 'short_label': '208.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180711
    {'ambient': '832.40', 'aut_centralizer_order': 19968, 'aut_label': '208.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 19968, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '104.a1.a1', '104.f1.a1', '104.g1.a1'], 'contains': ['416.a1.a1'], 'core': '208.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6986, 8671, 3890, 678, 1733, 6722, 1682, 8786], 'generators': [632], 'label': '832.40.208.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '208.c1.a1', 'normal_contained_in': ['16.c1.a1', '104.a1.a1'], 'normal_contains': ['416.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '208.c1.a1', 'projective_image': '416.16', 'quotient_action_image': '2.1', 'quotient_action_kernel': '104.10', 'quotient_action_kernel_order': 104, 'quotient_fusion': None, 'short_label': '208.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180712
    {'ambient': '832.40', 'aut_centralizer_order': 19968, 'aut_label': '208.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 19968, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '104.b1.a1', '104.h1.a1'], 'contains': ['416.b1.a1'], 'core': '208.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [460, 2148, 9126, 8603, 8540, 2980, 8630, 1512], 'generators': [4], 'label': '832.40.208.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '208.d1.a1', 'normal_contained_in': ['16.d1.a1', '104.b1.a1'], 'normal_contains': ['416.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '208.d1.a1', 'projective_image': '416.23', 'quotient_action_image': '2.1', 'quotient_action_kernel': '104.6', 'quotient_action_kernel_order': 104, 'quotient_fusion': None, 'short_label': '208.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180713
    {'ambient': '832.40', 'aut_centralizer_order': 19968, 'aut_label': '208.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 19968, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '104.b1.a1'], 'contains': ['416.b1.a1'], 'core': '208.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1122, 1181, 8451, 7767, 7539, 1214, 7766, 3278], 'generators': [420], 'label': '832.40.208.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '208.e1.a1', 'normal_contained_in': ['16.e1.a1', '104.b1.a1'], 'normal_contains': ['416.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '208.e1.a1', 'projective_image': '416.23', 'quotient_action_image': '2.1', 'quotient_action_kernel': '104.4', 'quotient_action_kernel_order': 104, 'quotient_fusion': None, 'short_label': '208.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180714
    {'ambient': '832.40', 'aut_centralizer_order': 192, 'aut_label': '208.f1', 'aut_quo_index': None, 'aut_stab_index': 104, 'aut_weyl_group': '2.1', 'aut_weyl_index': 19968, 'centralizer': '104.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '104.d1.a1', '104.e1.a1', '104.f1.a1'], 'contains': ['416.a1.a1'], 'core': '416.a1.a1', 'coset_action_label': None, 'count': 52, 'diagramx': [5997, -1, 1211, -1, 3290, -1, 3832, -1], 'generators': [627], 'label': '832.40.208.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '52.b1.a1', 'old_label': '208.f1.a1', 'projective_image': '416.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '208.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180715
    {'ambient': '832.40', 'aut_centralizer_order': 192, 'aut_label': '208.f1', 'aut_quo_index': None, 'aut_stab_index': 104, 'aut_weyl_group': '2.1', 'aut_weyl_index': 19968, 'centralizer': '104.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.b1', '104.d1.b1', '104.e1.a1', '104.f1.a1'], 'contains': ['416.a1.a1'], 'core': '416.a1.a1', 'coset_action_label': None, 'count': 52, 'diagramx': [5997, -1, 848, -1, 3290, -1, 3486, -1], 'generators': [3], 'label': '832.40.208.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '52.b1.a1', 'old_label': '208.f1.b1', 'projective_image': '416.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '208.f1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180716
    {'ambient': '832.40', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4992.e', 'aut_weyl_index': 8, 'centralizer': '208.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.d1.a1', '52.f1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4731, 7436, 4746, 887, 4992, 2903, 6663, 5629], 'generators': [627, 424, 416, 212, 64], 'label': '832.40.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '208.14'}
  • id: 111180717
    {'ambient': '832.40', 'aut_centralizer_order': 9984, 'aut_label': '208.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 19968, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '104.c1.a1'], 'contains': ['416.c1.a1'], 'core': '416.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2840, -1, 7006, -1, 6377, -1, 6730, -1], 'generators': [212], 'label': '832.40.208.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '104.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '208.g1.a1', 'projective_image': '416.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '208.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111180718
    {'ambient': '832.40', 'aut_centralizer_order': 39936, 'aut_label': '416.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 39936, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '208.a1.a1', '208.b1.a1', '208.c1.a1', '208.f1.a1', '208.f1.b1'], 'contains': ['832.a1.a1'], 'core': '416.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5825, 6966, 1851, 2361, 3490, 6722, 3486, 7020], 'generators': [416], 'label': '832.40.416.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '416.a1.a1', 'normal_contained_in': ['32.a1.a1', '208.a1.a1', '208.b1.a1', '208.c1.a1'], 'normal_contains': ['832.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '416.a1.a1', 'projective_image': '416.16', 'quotient_action_image': '1.1', 'quotient_action_kernel': '416.16', 'quotient_action_kernel_order': 416, 'quotient_fusion': None, 'short_label': '416.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111180719
    {'ambient': '832.40', 'aut_centralizer_order': 39936, 'aut_label': '416.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 39936, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '208.a1.a1', '208.d1.a1', '208.e1.a1'], 'contains': ['832.a1.a1'], 'core': '416.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1659, 2148, 8175, 7001, 7539, 2980, 7766, 3278], 'generators': [8], 'label': '832.40.416.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '416.b1.a1', 'normal_contained_in': ['32.b1.a1', '208.a1.a1', '208.e1.a1', '208.d1.a1'], 'normal_contains': ['832.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '416.b1.a1', 'projective_image': '416.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '416.23', 'quotient_action_kernel_order': 416, 'quotient_fusion': None, 'short_label': '416.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111180720
    {'ambient': '832.40', 'aut_centralizer_order': 39936, 'aut_label': '416.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 39936, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '208.a1.a1', '208.g1.a1'], 'contains': ['832.a1.a1'], 'core': '416.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2667, 4054, 7006, 5726, 5709, 5133, 6538, 4868], 'generators': [424], 'label': '832.40.416.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '416.c1.a1', 'normal_contained_in': ['32.c1.a1', '208.a1.a1'], 'normal_contains': ['832.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '416.c1.a1', 'projective_image': '416.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '416.31', 'quotient_action_kernel_order': 416, 'quotient_fusion': None, 'short_label': '416.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111180721
    {'ambient': '832.40', 'aut_centralizer_order': None, 'aut_label': '832.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': ['64.a1.a1', '416.a1.a1', '416.b1.a1', '416.c1.a1'], 'contains': [], 'core': '832.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2314, 3691, 6870, 6050, 5931, 4691, 6346, 5309], 'generators': [], 'label': '832.40.832.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '832.a1.a1', 'normal_contained_in': ['64.a1.a1', '416.b1.a1', '416.a1.a1', '416.c1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '832.a1.a1', 'projective_image': '832.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '832.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111180722
    {'ambient': '832.40', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4992.e', 'aut_weyl_index': 8, 'centralizer': '208.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.d1.b1', '52.f1.b1'], 'core': '4.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4731, 7436, 3950, 2268, 4992, 2903, 4628, 6943], 'generators': [3, 424, 416, 212, 64], 'label': '832.40.4.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.b1', 'projective_image': '208.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': '208.14'}
  • id: 111180723
    {'ambient': '832.40', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2496.m', 'aut_weyl_index': 16, 'centralizer': '208.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.e1.a1', '8.f1.a1', '52.b1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6950, -1, 1835, -1, 3991, -1, 3333, -1], 'generators': [3, 624, 416, 8, 64], 'label': '832.40.4.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': '208.14', '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': '104.13'}
  • id: 111180724
    {'ambient': '832.40', 'aut_centralizer_order': 208, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '96.220', 'aut_weyl_index': 416, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '8.g1.a1', '52.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9514, -1, 5481, -1, 1605, -1, 1111, -1], 'generators': [1, 64, 632, 624, 416], 'label': '832.40.4.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.d1.a1', 'projective_image': '208.14', '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': '2.1'}