Abstract group data - 486.213

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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': '54.15', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 18, 'aut_gen_orders': [18, 6, 3, 3, 3, 3, 3, 3], 'aut_gens': [[373996, 376801, 374473, 164375], [373996, 497143, 373987, 171008], [197326, 333019, 373987, 348164], [373996, 199177, 374230, 518408], [373996, 376801, 374473, 164618], [373996, 199159, 374473, 341504], [373996, 22507, 374473, 164618], [373996, 376567, 374473, 341504], [373996, 376792, 374473, 518660]], 'aut_group': '26244.nn', 'aut_hash': 4111858139665495509, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 26244, 'aut_permdeg': 164, 'aut_perms': [288645379492613763798016448661585266967800031834704951218902371043617473540105955903168340926200669932807551677291279063946032098958632708831443610791295817678125442558661592886789482072097058897708099444150279884738297009822675453529274539587417949119410338050985082556740401181409434954807879, 170974799226641484416506336080741019295702793739718869088575951640988282247687033131958509686544327352863065519351601749997341796217711004617751797715684335567490252628216054891446211263090339722798409176010071082879334156493737167162836200097051269616602927743814516397331823355845210200404263, 44614166820706534634304472808697702934078813986584989516320002705230229151888377374088320809843126696833060239336551884382005068253010413308849696179015187083428814172430905280406126938766758372405650267006652903323392178233561864805663474096476965663185474196152774481719329334913146001036234, 44118089607025723558107143042086181753749394977388893940453973198986693702608893106256299997753562459359348504182558145226381873948837824882566092258576113387770447587847932439487147418283129308635799663384813901308458073125122435449904266058661486852700959618625715425385900072927896635847918, 322794886124971235012581304166397749817379237897845983003383843621360166075828327834150776062510668754122857637810366356711708170266583125810305252269486188276590815703109853941585730421137640326064169328797177252162519768443099976386112287191109322123776823421875612771262935787974503107710279, 175323465798509822056898340933208587416555154106083393834015042943506971865221176250531434254330865179559115604246898902468901249695445235112392037122740215803439826386637146040054469383505622969628241423204738387734189958564206380203514377049807493456496583353284366010673089877279819232473346, 305175944664006076493283409958334929087805627626926922593844790239977606049567509604917722441062508230351518651872095537614579613251778332492038571794498607266402933186759021634454101761899186873427369650139446037485982292341972663105314499262199588778469107638269711858502424524340008313416930, 174956658348109472542914849688742482459474245851478014594175949159865921241161368453729808239062812424472972180339600004254497322937363759643257858763299748129232792025538609783172407013862176361260140796912440019863108610716690589990433582113223482620351270862423162820560068598377100846590975], 'aut_phi_ratio': 162.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [3, 1, 6, 1], [3, 3, 1, 2], [3, 3, 2, 2], [6, 1, 2, 1], [6, 1, 6, 1], [6, 3, 1, 2], [6, 3, 2, 2], [9, 3, 18, 1], [9, 9, 18, 1], [18, 3, 18, 1], [18, 9, 18, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3^5.(C_3\\times S_3^2)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '486.183', 'autcent_hash': 183, 'autcent_nilpotent': False, 'autcent_order': 486, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_3^4:S_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '54.5', 'autcentquo_hash': 5, 'autcentquo_nilpotent': False, 'autcentquo_order': 54, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^2:C_6', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 1, 8], [3, 3, 6], [6, 1, 8], [6, 3, 6], [9, 3, 18], [9, 9, 18], [18, 3, 18], [18, 9, 18]], 'center_label': '18.5', 'center_order': 18, 'central_product': True, 'central_quotient': '27.3', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 213, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['3.1', 1], ['81.10', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 4], [3, 3, 2, 3], [6, 1, 2, 4], [6, 3, 2, 3], [9, 3, 6, 3], [9, 9, 2, 9], [18, 3, 6, 3], [18, 9, 2, 9]], 'element_repr_type': 'GLZq', 'elementary': 3, 'eulerian_function': 2184, 'exponent': 18, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '54.15', 'hash': 213, 'hyperelementary': 3, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 3, 'inner_gen_orders': [1, 3, 3, 3], 'inner_gens': [[373996, 376801, 374473, 164375], [373996, 376801, 373987, 341513], [373996, 376558, 374473, 164375], [373996, 22255, 374473, 164375]], 'inner_hash': 3, 'inner_nilpotent': True, 'inner_order': 27, 'inner_split': False, 'inner_tex': '\\He_3', 'inner_used': [2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 54], [3, 48]], 'label': '486.213', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3*C6.He3', 'ngens': 6, 'nilpotency_class': 3, 'nilpotent': True, 'normal_counts': [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': 18, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 102, 'number_divisions': 40, 'number_normal_subgroups': 72, 'number_subgroup_autclasses': 44, 'number_subgroup_classes': 132, 'number_subgroups': 252, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 1], [3, 26], [6, 26], [9, 216], [18, 216]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [2, 3, 3, 6, 2, 6, 6], 'outer_gen_pows': [196849, 196849, 373987, 19684, 196849, 19684, 19684], 'outer_gens': [[373996, 510166, 373987, 348164], [373996, 28915, 374473, 164375], [373996, 35314, 374473, 164375], [196840, 509680, 373987, 348407], [196840, 510166, 373987, 348164], [197083, 148996, 373987, 525536], [197083, 510166, 373987, 347921]], 'outer_group': '972.646', 'outer_hash': 646, 'outer_nilpotent': False, 'outer_order': 972, 'outer_permdeg': 20, 'outer_perms': [66952927654650, 243332058851570820, 128069711284859888, 243332058855110400, 3628800, 1013731400541677084, 898488680544403200], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3^4:D_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 32, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 26], [6, 6], [18, 6]], 'representations': {'PC': {'code': 69213602426858443835067, 'gens': [1, 2, 3, 4], 'pres': [6, 3, 3, 3, 2, 3, 3, 655, 1034, 1593, 69, 3970, 118]}, 'GLZN': {'d': 2, 'p': 54, 'gens': [157483, 2137243, 158437, 211285, 158923, 2991835]}, 'GLZq': {'d': 2, 'q': 27, 'gens': [511784, 196840, 376558, 387505, 19693, 19927]}, 'Perm': {'d': 32, 'gens': [8222838654177922817725562880000000, 9823410235015926371682349167360, 18982253052262400815558566534507, 28140211547958303057602869753108, 1840764313927677088715674302720, 28140211547958303057602869753104]}}, 'schur_multiplier': [3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 6], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3\\times C_6.\\He_3', 'transitive_degree': 162, '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: 175777588
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 213, 'group_order': 486, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 19684, 'size': 1}
  • id: 175777602
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 213, 'group_order': 486, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 511784, 'size': 1}
  • id: 175777613
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 213, 'group_order': 486, 'label': '3A1', 'order': 3, 'powers': [4, 1], 'representative': 197083, 'size': 1}
  • id: 175777624
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 213, 'group_order': 486, 'label': '3A-1', 'order': 3, 'powers': [3, 1], 'representative': 374482, 'size': 1}
  • id: 175777635
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 213, 'group_order': 486, 'label': '3B1', 'order': 3, 'powers': [6, 1], 'representative': 374239, 'size': 1}
  • id: 175777646
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 213, 'group_order': 486, 'label': '3B-1', 'order': 3, 'powers': [5, 1], 'representative': 197326, 'size': 1}
  • id: 175777657
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 213, 'group_order': 486, 'label': '3C1', 'order': 3, 'powers': [8, 1], 'representative': 196840, 'size': 1}
  • id: 175777668
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 213, 'group_order': 486, 'label': '3C-1', 'order': 3, 'powers': [7, 1], 'representative': 373996, 'size': 1}
  • id: 175777679
    {'aut_label': '3D1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 213, 'group_order': 486, 'label': '3D1', 'order': 3, 'powers': [10, 1], 'representative': 19927, 'size': 1}
  • id: 175777589
    {'aut_label': '3D1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 213, 'group_order': 486, 'label': '3D-1', 'order': 3, 'powers': [9, 1], 'representative': 20170, 'size': 1}
  • id: 175777593
    {'aut_label': '3E1', 'centralizer': '3.a1', 'counter': 11, 'group_counter': 213, 'group_order': 486, 'label': '3E1', 'order': 3, 'powers': [12, 1], 'representative': 197335, 'size': 3}
  • id: 175777594
    {'aut_label': '3E-1', 'centralizer': '3.a1', 'counter': 12, 'group_counter': 213, 'group_order': 486, 'label': '3E-1', 'order': 3, 'powers': [11, 1], 'representative': 374230, 'size': 3}
  • id: 175777595
    {'aut_label': '3F1', 'centralizer': '3.a1', 'counter': 13, 'group_counter': 213, 'group_order': 486, 'label': '3F1', 'order': 3, 'powers': [14, 1], 'representative': 374464, 'size': 3}
  • id: 175777596
    {'aut_label': '3F-1', 'centralizer': '3.a1', 'counter': 14, 'group_counter': 213, 'group_order': 486, 'label': '3F-1', 'order': 3, 'powers': [13, 1], 'representative': 197074, 'size': 3}
  • id: 175777597
    {'aut_label': '3F-1', 'centralizer': '3.a1', 'counter': 15, 'group_counter': 213, 'group_order': 486, 'label': '3G1', 'order': 3, 'powers': [16, 1], 'representative': 19702, 'size': 3}
  • id: 175777598
    {'aut_label': '3F1', 'centralizer': '3.a1', 'counter': 16, 'group_counter': 213, 'group_order': 486, 'label': '3G-1', 'order': 3, 'powers': [15, 1], 'representative': 19693, 'size': 3}
  • id: 175777599
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 213, 'group_order': 486, 'label': '6A1', 'order': 6, 'powers': [3, 2], 'representative': 157715, 'size': 1}
  • id: 175777600
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 213, 'group_order': 486, 'label': '6A-1', 'order': 6, 'powers': [4, 2], 'representative': 335114, 'size': 1}
  • id: 175777601
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 213, 'group_order': 486, 'label': '6B1', 'order': 6, 'powers': [5, 2], 'representative': 334871, 'size': 1}
  • id: 175777603
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 213, 'group_order': 486, 'label': '6B-1', 'order': 6, 'powers': [6, 2], 'representative': 157958, 'size': 1}
  • id: 175777604
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 21, 'group_counter': 213, 'group_order': 486, 'label': '6C1', 'order': 6, 'powers': [7, 2], 'representative': 157472, 'size': 1}
  • id: 175777605
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 22, 'group_counter': 213, 'group_order': 486, 'label': '6C-1', 'order': 6, 'powers': [8, 2], 'representative': 334628, 'size': 1}
  • id: 175777606
    {'aut_label': '6D1', 'centralizer': '1.a1', 'counter': 23, 'group_counter': 213, 'group_order': 486, 'label': '6D1', 'order': 6, 'powers': [9, 2], 'representative': 512027, 'size': 1}
  • id: 175777607
    {'aut_label': '6D1', 'centralizer': '1.a1', 'counter': 24, 'group_counter': 213, 'group_order': 486, 'label': '6D-1', 'order': 6, 'powers': [10, 2], 'representative': 512270, 'size': 1}
  • id: 175777608
    {'aut_label': '6E1', 'centralizer': '3.a1', 'counter': 25, 'group_counter': 213, 'group_order': 486, 'label': '6E1', 'order': 6, 'powers': [11, 2], 'representative': 157967, 'size': 3}
  • id: 175777609
    {'aut_label': '6E-1', 'centralizer': '3.a1', 'counter': 26, 'group_counter': 213, 'group_order': 486, 'label': '6E-1', 'order': 6, 'powers': [12, 2], 'representative': 334619, 'size': 3}
  • id: 175777610
    {'aut_label': '6F1', 'centralizer': '3.a1', 'counter': 27, 'group_counter': 213, 'group_order': 486, 'label': '6F1', 'order': 6, 'powers': [13, 2], 'representative': 335123, 'size': 3}
  • id: 175777611
    {'aut_label': '6F-1', 'centralizer': '3.a1', 'counter': 28, 'group_counter': 213, 'group_order': 486, 'label': '6F-1', 'order': 6, 'powers': [14, 2], 'representative': 157490, 'size': 3}
  • id: 175777612
    {'aut_label': '6F-1', 'centralizer': '3.a1', 'counter': 29, 'group_counter': 213, 'group_order': 486, 'label': '6G1', 'order': 6, 'powers': [15, 2], 'representative': 511775, 'size': 3}
  • id: 175777614
    {'aut_label': '6F1', 'centralizer': '3.a1', 'counter': 30, 'group_counter': 213, 'group_order': 486, 'label': '6G-1', 'order': 6, 'powers': [16, 2], 'representative': 512252, 'size': 3}
  • id: 175777615
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 31, 'group_counter': 213, 'group_order': 486, 'label': '9A1', 'order': 9, 'powers': [33, 9], 'representative': 203473, 'size': 3}
  • id: 175777616
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 32, 'group_counter': 213, 'group_order': 486, 'label': '9A-1', 'order': 9, 'powers': [34, 10], 'representative': 387748, 'size': 3}
  • id: 175777617
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 33, 'group_counter': 213, 'group_order': 486, 'label': '9A2', 'order': 9, 'powers': [35, 10], 'representative': 387262, 'size': 3}
  • id: 175777618
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 34, 'group_counter': 213, 'group_order': 486, 'label': '9A-2', 'order': 9, 'powers': [36, 9], 'representative': 203959, 'size': 3}
  • id: 175777619
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 35, 'group_counter': 213, 'group_order': 486, 'label': '9A4', 'order': 9, 'powers': [32, 9], 'representative': 203716, 'size': 3}
  • id: 175777620
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 36, 'group_counter': 213, 'group_order': 486, 'label': '9A-4', 'order': 9, 'powers': [31, 10], 'representative': 387505, 'size': 3}
  • id: 175777621
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 37, 'group_counter': 213, 'group_order': 486, 'label': '9B1', 'order': 9, 'powers': [39, 9], 'representative': 380629, 'size': 3}
  • id: 175777622
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 38, 'group_counter': 213, 'group_order': 486, 'label': '9B-1', 'order': 9, 'powers': [40, 10], 'representative': 210619, 'size': 3}
  • id: 175777623
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 39, 'group_counter': 213, 'group_order': 486, 'label': '9B2', 'order': 9, 'powers': [41, 10], 'representative': 210133, 'size': 3}
  • id: 175777625
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 40, 'group_counter': 213, 'group_order': 486, 'label': '9B-2', 'order': 9, 'powers': [42, 9], 'representative': 381115, 'size': 3}
  • id: 175777626
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 41, 'group_counter': 213, 'group_order': 486, 'label': '9B4', 'order': 9, 'powers': [38, 9], 'representative': 380872, 'size': 3}
  • id: 175777627
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 42, 'group_counter': 213, 'group_order': 486, 'label': '9B-4', 'order': 9, 'powers': [37, 10], 'representative': 210376, 'size': 3}
  • id: 175777628
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 43, 'group_counter': 213, 'group_order': 486, 'label': '9C1', 'order': 9, 'powers': [45, 9], 'representative': 26344, 'size': 3}
  • id: 175777629
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 44, 'group_counter': 213, 'group_order': 486, 'label': '9C-1', 'order': 9, 'powers': [46, 10], 'representative': 33463, 'size': 3}
  • id: 175777630
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 45, 'group_counter': 213, 'group_order': 486, 'label': '9C2', 'order': 9, 'powers': [47, 10], 'representative': 32977, 'size': 3}
  • id: 175777631
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 46, 'group_counter': 213, 'group_order': 486, 'label': '9C-2', 'order': 9, 'powers': [48, 9], 'representative': 26830, 'size': 3}
  • id: 175777632
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 47, 'group_counter': 213, 'group_order': 486, 'label': '9C4', 'order': 9, 'powers': [44, 9], 'representative': 26587, 'size': 3}
  • id: 175777633
    {'aut_label': '9A1', 'centralizer': '3.a1', 'counter': 48, 'group_counter': 213, 'group_order': 486, 'label': '9C-4', 'order': 9, 'powers': [43, 10], 'representative': 33220, 'size': 3}
  • id: 175777634
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 49, 'group_counter': 213, 'group_order': 486, 'label': '9D1', 'order': 9, 'powers': [50, 10], 'representative': 319996, 'size': 9}
  • id: 175777636
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 50, 'group_counter': 213, 'group_order': 486, 'label': '9D-1', 'order': 9, 'powers': [49, 9], 'representative': 35557, 'size': 9}
  • id: 175777637
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 51, 'group_counter': 213, 'group_order': 486, 'label': '9E1', 'order': 9, 'powers': [52, 9], 'representative': 383209, 'size': 9}
  • id: 175777638
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 52, 'group_counter': 213, 'group_order': 486, 'label': '9E-1', 'order': 9, 'powers': [51, 10], 'representative': 503299, 'size': 9}
  • id: 175777639
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 53, 'group_counter': 213, 'group_order': 486, 'label': '9F1', 'order': 9, 'powers': [54, 10], 'representative': 509680, 'size': 9}
  • id: 175777640
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 54, 'group_counter': 213, 'group_order': 486, 'label': '9F-1', 'order': 9, 'powers': [53, 9], 'representative': 376315, 'size': 9}
  • id: 175777641
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 55, 'group_counter': 213, 'group_order': 486, 'label': '9G1', 'order': 9, 'powers': [56, 10], 'representative': 496639, 'size': 9}
  • id: 175777642
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 56, 'group_counter': 213, 'group_order': 486, 'label': '9G-1', 'order': 9, 'powers': [55, 9], 'representative': 389356, 'size': 9}
  • id: 175777643
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 57, 'group_counter': 213, 'group_order': 486, 'label': '9H1', 'order': 9, 'powers': [58, 9], 'representative': 28654, 'size': 9}
  • id: 175777644
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 58, 'group_counter': 213, 'group_order': 486, 'label': '9H-1', 'order': 9, 'powers': [57, 10], 'representative': 325900, 'size': 9}
  • id: 175777645
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 59, 'group_counter': 213, 'group_order': 486, 'label': '9I1', 'order': 9, 'powers': [60, 10], 'representative': 142597, 'size': 9}
  • id: 175777647
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 60, 'group_counter': 213, 'group_order': 486, 'label': '9I-1', 'order': 9, 'powers': [59, 9], 'representative': 212443, 'size': 9}
  • id: 175777648
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 61, 'group_counter': 213, 'group_order': 486, 'label': '9J1', 'order': 9, 'powers': [62, 9], 'representative': 206296, 'size': 9}
  • id: 175777649
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 62, 'group_counter': 213, 'group_order': 486, 'label': '9J-1', 'order': 9, 'powers': [61, 10], 'representative': 149230, 'size': 9}
  • id: 175777650
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 63, 'group_counter': 213, 'group_order': 486, 'label': '9K1', 'order': 9, 'powers': [64, 10], 'representative': 155638, 'size': 9}
  • id: 175777651
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 64, 'group_counter': 213, 'group_order': 486, 'label': '9K-1', 'order': 9, 'powers': [63, 9], 'representative': 199402, 'size': 9}
  • id: 175777652
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 65, 'group_counter': 213, 'group_order': 486, 'label': '9L1', 'order': 9, 'powers': [66, 9], 'representative': 22030, 'size': 9}
  • id: 175777653
    {'aut_label': '9D1', 'centralizer': '9.e1', 'counter': 66, 'group_counter': 213, 'group_order': 486, 'label': '9L-1', 'order': 9, 'powers': [65, 10], 'representative': 332794, 'size': 9}
  • id: 175777654
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 67, 'group_counter': 213, 'group_order': 486, 'label': '18A1', 'order': 18, 'powers': [31, 23], 'representative': 164375, 'size': 3}
  • id: 175777655
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 68, 'group_counter': 213, 'group_order': 486, 'label': '18A-1', 'order': 18, 'powers': [32, 24], 'representative': 348164, 'size': 3}
  • id: 175777656
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 69, 'group_counter': 213, 'group_order': 486, 'label': '18A5', 'order': 18, 'powers': [36, 24], 'representative': 347921, 'size': 3}
  • id: 175777658
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 70, 'group_counter': 213, 'group_order': 486, 'label': '18A-5', 'order': 18, 'powers': [35, 23], 'representative': 341756, 'size': 3}
  • id: 175777659
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 71, 'group_counter': 213, 'group_order': 486, 'label': '18A7', 'order': 18, 'powers': [34, 23], 'representative': 164132, 'size': 3}
  • id: 175777660
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 72, 'group_counter': 213, 'group_order': 486, 'label': '18A-7', 'order': 18, 'powers': [33, 24], 'representative': 348407, 'size': 3}
  • id: 175777661
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 73, 'group_counter': 213, 'group_order': 486, 'label': '18B1', 'order': 18, 'powers': [37, 23], 'representative': 341504, 'size': 3}
  • id: 175777662
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 74, 'group_counter': 213, 'group_order': 486, 'label': '18B-1', 'order': 18, 'powers': [38, 24], 'representative': 171008, 'size': 3}
  • id: 175777663
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 75, 'group_counter': 213, 'group_order': 486, 'label': '18B5', 'order': 18, 'powers': [42, 24], 'representative': 170765, 'size': 3}
  • id: 175777664
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 76, 'group_counter': 213, 'group_order': 486, 'label': '18B-5', 'order': 18, 'powers': [41, 23], 'representative': 518912, 'size': 3}
  • id: 175777665
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 77, 'group_counter': 213, 'group_order': 486, 'label': '18B7', 'order': 18, 'powers': [40, 23], 'representative': 341261, 'size': 3}
  • id: 175777666
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 78, 'group_counter': 213, 'group_order': 486, 'label': '18B-7', 'order': 18, 'powers': [39, 24], 'representative': 171251, 'size': 3}
  • id: 175777667
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 79, 'group_counter': 213, 'group_order': 486, 'label': '18C1', 'order': 18, 'powers': [43, 23], 'representative': 518660, 'size': 3}
  • id: 175777669
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 80, 'group_counter': 213, 'group_order': 486, 'label': '18C-1', 'order': 18, 'powers': [44, 24], 'representative': 525293, 'size': 3}
  • id: 175777670
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 81, 'group_counter': 213, 'group_order': 486, 'label': '18C5', 'order': 18, 'powers': [48, 24], 'representative': 525050, 'size': 3}
  • id: 175777671
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 82, 'group_counter': 213, 'group_order': 486, 'label': '18C-5', 'order': 18, 'powers': [47, 23], 'representative': 164600, 'size': 3}
  • id: 175777672
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 83, 'group_counter': 213, 'group_order': 486, 'label': '18C7', 'order': 18, 'powers': [46, 23], 'representative': 518417, 'size': 3}
  • id: 175777673
    {'aut_label': '18A1', 'centralizer': '3.a1', 'counter': 84, 'group_counter': 213, 'group_order': 486, 'label': '18C-7', 'order': 18, 'powers': [45, 24], 'representative': 525536, 'size': 3}
  • id: 175777674
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 85, 'group_counter': 213, 'group_order': 486, 'label': '18D1', 'order': 18, 'powers': [49, 24], 'representative': 516809, 'size': 9}
  • id: 175777675
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 86, 'group_counter': 213, 'group_order': 486, 'label': '18D-1', 'order': 18, 'powers': [50, 23], 'representative': 54746, 'size': 9}
  • id: 175777676
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 87, 'group_counter': 213, 'group_order': 486, 'label': '18E1', 'order': 18, 'powers': [51, 23], 'representative': 48824, 'size': 9}
  • id: 175777677
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 88, 'group_counter': 213, 'group_order': 486, 'label': '18E-1', 'order': 18, 'powers': [52, 24], 'representative': 345593, 'size': 9}
  • id: 175777678
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 89, 'group_counter': 213, 'group_order': 486, 'label': '18F1', 'order': 18, 'powers': [53, 24], 'representative': 175322, 'size': 9}
  • id: 175777680
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 90, 'group_counter': 213, 'group_order': 486, 'label': '18F-1', 'order': 18, 'powers': [54, 23], 'representative': 41957, 'size': 9}
  • id: 175777681
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 91, 'group_counter': 213, 'group_order': 486, 'label': '18G1', 'order': 18, 'powers': [55, 24], 'representative': 162281, 'size': 9}
  • id: 175777682
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 92, 'group_counter': 213, 'group_order': 486, 'label': '18G-1', 'order': 18, 'powers': [56, 23], 'representative': 409517, 'size': 9}
  • id: 175777683
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 93, 'group_counter': 213, 'group_order': 486, 'label': '18H1', 'order': 18, 'powers': [57, 23], 'representative': 225494, 'size': 9}
  • id: 175777684
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 94, 'group_counter': 213, 'group_order': 486, 'label': '18H-1', 'order': 18, 'powers': [58, 24], 'representative': 168680, 'size': 9}
  • id: 175777685
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 95, 'group_counter': 213, 'group_order': 486, 'label': '18I1', 'order': 18, 'powers': [59, 24], 'representative': 339194, 'size': 9}
  • id: 175777686
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 96, 'group_counter': 213, 'group_order': 486, 'label': '18I-1', 'order': 18, 'powers': [60, 23], 'representative': 232145, 'size': 9}
  • id: 175777687
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 97, 'group_counter': 213, 'group_order': 486, 'label': '18J1', 'order': 18, 'powers': [61, 23], 'representative': 402893, 'size': 9}
  • id: 175777688
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 98, 'group_counter': 213, 'group_order': 486, 'label': '18J-1', 'order': 18, 'powers': [62, 24], 'representative': 523208, 'size': 9}
  • id: 175777689
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 99, 'group_counter': 213, 'group_order': 486, 'label': '18K1', 'order': 18, 'powers': [63, 24], 'representative': 352235, 'size': 9}
  • id: 175777590
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 100, 'group_counter': 213, 'group_order': 486, 'label': '18K-1', 'order': 18, 'powers': [64, 23], 'representative': 395999, 'size': 9}
  • id: 175777591
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 101, 'group_counter': 213, 'group_order': 486, 'label': '18L1', 'order': 18, 'powers': [65, 23], 'representative': 219329, 'size': 9}
  • id: 175777592
    {'aut_label': '18D1', 'centralizer': '9.e1', 'counter': 102, 'group_counter': 213, 'group_order': 486, 'label': '18L-1', 'order': 18, 'powers': [66, 24], 'representative': 529850, 'size': 9}
• 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: 18366361
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1a', '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], 'schur_index': 1}
  • id: 18366372
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1b', '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], 'schur_index': 1}
  • id: 18366383
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1c', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2], 'schur_index': 1}
  • id: 18366394
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1d', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1], 'schur_index': 1}
  • id: 18366396
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1], 'schur_index': 1}
  • id: 18366397
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1f', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1], 'schur_index': 1}
  • id: 18366398
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1g', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1], 'schur_index': 1}
  • id: 18366399
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1h', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, 2], 'schur_index': 1}
  • id: 18366400
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1i', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 18366362
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1j', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, 2, -1, 2, 2], 'schur_index': 1}
  • id: 18366363
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1k', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1], 'schur_index': 1}
  • id: 18366364
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1l', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, 2], 'schur_index': 1}
  • id: 18366365
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1m', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1], 'schur_index': 1}
  • id: 18366366
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1n', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1], 'schur_index': 1}
  • id: 18366367
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1o', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 18366368
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, -2, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, -2, 1, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, -2], 'schur_index': 1}
  • id: 18366369
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1q', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -2, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, -2, 1, 1, 1, -2, -2, 1], 'schur_index': 1}
  • id: 18366370
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, 2, -1, -2, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, -2, 1, 1, 1, -2, -2, 1, 1, 1], 'schur_index': 1}
  • id: 18366371
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 1, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1], 'schur_index': 1}
  • id: 18366373
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, 1, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1], 'schur_index': 1}
  • id: 18366374
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1u', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, 1, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, -2, -2, -2, 1, 1, 1, -2], 'schur_index': 1}
  • id: 18366375
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1v', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, 1, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, -2, -2, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 18366376
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1w', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 1, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, -2, 1, -2, -2], 'schur_index': 1}
  • id: 18366377
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1x', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, 1, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, -2, 1, 1], 'schur_index': 1}
  • id: 18366378
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1y', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, 1, -2], 'schur_index': 1}
  • id: 18366379
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1z', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1], 'schur_index': 1}
  • id: 18366380
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1aa', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1], 'schur_index': 1}
  • id: 18366381
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.1ab', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 18366382
    {'cdim': 3, 'counter': 29, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3a', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, -3, -3, -3, -3, 6, -3, -3, -3, -3, -3, 6, 6, -3, -3, -3, -3, -3, 6, -3, 6, -3, 6, 6, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18366384
    {'cdim': 3, 'counter': 30, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3b', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, -3, -3, -3, -3, 6, -3, -3, -3, -3, 6, -3, -3, 6, -3, -3, -3, -3, 6, -3, 6, -3, -3, -3, -3, -3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18366385
    {'cdim': 3, 'counter': 31, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3c', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18366386
    {'cdim': 3, 'counter': 32, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3d', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, -3, -3, -3, -3, 6, -3, -3, -3, -3, -3, 6, 6, -3, 3, 3, 3, 3, -6, 3, -6, 3, -6, -6, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18366387
    {'cdim': 3, 'counter': 33, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3e', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, -3, -3, -3, -3, 6, -3, -3, -3, -3, 6, -3, -3, 6, 3, 3, 3, 3, -6, 3, -6, 3, 3, 3, 3, 3, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18366388
    {'cdim': 3, 'counter': 34, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3f', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -6, -6, -6, -6, -6, -6, -6, -6, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18366389
    {'cdim': 3, 'counter': 35, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3g', 'multiplicity': 6, 'nt': [27, 25], 'qdim': 18, 'qvalues': [18, 18, -9, -9, -9, 18, 18, -9, -9, -9, 0, 0, 0, 0, 0, 0, -9, -9, -9, -9, -9, 18, -9, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18366390
    {'cdim': 3, 'counter': 36, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3h', 'multiplicity': 6, 'nt': [27, 25], 'qdim': 18, 'qvalues': [18, 18, -9, -9, 18, -9, -9, -9, -9, 18, 0, 0, 0, 0, 0, 0, 18, -9, -9, 18, -9, -9, -9, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18366391
    {'cdim': 3, 'counter': 37, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3i', 'multiplicity': 6, 'nt': [27, 25], 'qdim': 18, 'qvalues': [18, 18, -9, 18, -9, -9, -9, -9, 18, -9, 0, 0, 0, 0, 0, 0, -9, 18, 18, -9, -9, -9, -9, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18366392
    {'cdim': 3, 'counter': 38, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3j', 'multiplicity': 6, 'nt': [54, 0], 'qdim': 18, 'qvalues': [18, -18, -9, -9, -9, 18, 18, -9, -9, -9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, -18, 9, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18366393
    {'cdim': 3, 'counter': 39, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3k', 'multiplicity': 6, 'nt': [54, 0], 'qdim': 18, 'qvalues': [18, -18, -9, -9, 18, -9, -9, -9, -9, 18, 0, 0, 0, 0, 0, 0, -18, 9, 9, -18, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18366395
    {'cdim': 3, 'counter': 40, 'faithful': False, 'group': '486.213', 'group_order': 486, 'image': None, 'label': '486.213.3l', 'multiplicity': 6, 'nt': [54, 0], 'qdim': 18, 'qvalues': [18, -18, -9, 18, -9, -9, -9, -9, 18, -9, 0, 0, 0, 0, 0, 0, 9, -18, -18, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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}
• 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: 39552773
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 486, 'label': '486.213.1a', '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]]]}
  • id: 39552822
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 51, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 81, 'label': '486.213.1aa1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]]]}
  • id: 39552823
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 52, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 81, 'label': '486.213.1aa2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]]]}
  • id: 39552824
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 53, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 81, 'label': '486.213.1ab1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 39552825
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 54, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 81, 'label': '486.213.1ab2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 39552787
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 243, 'label': '486.213.1b', '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]]]}
  • id: 39552798
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 3, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1c1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]]]}
  • id: 39552809
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 4, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1c2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]]]}
  • id: 39552820
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1d1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]]]}
  • id: 39552831
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1d2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]]]}
  • id: 39552842
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 7, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1e1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 39552853
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 8, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1e2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 39552864
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 9, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1f1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]]]}
  • id: 39552774
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 10, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1f2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]]]}
  • id: 39552778
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 11, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1g1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]]]}
  • id: 39552779
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 12, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1g2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]]]}
  • id: 39552780
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 13, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1h1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]]]}
  • id: 39552781
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 14, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1h2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]]]}
  • id: 39552782
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 15, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1i1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 39552783
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 16, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1i2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]]]}
  • id: 39552784
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 17, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1j1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]]]}
  • id: 39552785
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 18, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1j2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]]]}
  • id: 39552786
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 19, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1k1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]]]}
  • id: 39552788
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 20, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 162, 'label': '486.213.1k2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]]]}
  • id: 39552789
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 21, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.b1', 'kernel_order': 162, 'label': '486.213.1l1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]]]}
  • id: 39552790
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 22, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.b1', 'kernel_order': 162, 'label': '486.213.1l2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]]]}
  • id: 39552791
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 23, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.b1', 'kernel_order': 162, 'label': '486.213.1m1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]]]}
  • id: 39552792
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 24, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.b1', 'kernel_order': 162, 'label': '486.213.1m2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]]]}
  • id: 39552793
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 25, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.b1', 'kernel_order': 162, 'label': '486.213.1n1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]]]}
  • id: 39552794
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 26, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.b1', 'kernel_order': 162, 'label': '486.213.1n2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]]]}
  • id: 39552795
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 27, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 162, 'label': '486.213.1o1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 39552796
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 28, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 162, 'label': '486.213.1o2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 39552797
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 29, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1p1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]]]}
  • id: 39552799
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 30, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1p2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]]]}
  • id: 39552800
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 31, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1q1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]]]}
  • id: 39552801
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 32, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1q2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]]]}
  • id: 39552802
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 33, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1r1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 39552803
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 34, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1r2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 39552804
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 35, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1s1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]]]}
  • id: 39552805
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 36, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1s2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]]]}
  • id: 39552806
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 37, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1t1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]]]}
  • id: 39552807
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 38, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1t2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]]]}
  • id: 39552808
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 39, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1u1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]]]}
  • id: 39552810
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 40, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1u2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]]]}
  • id: 39552811
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 41, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1v1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 39552812
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 42, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1v2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]]]}
  • id: 39552813
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 43, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1w1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]]]}
  • id: 39552814
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 44, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1w2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]]]}
  • id: 39552815
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 45, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1x1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]]]}
  • id: 39552816
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 46, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 81, 'label': '486.213.1x2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]]]}
  • id: 39552817
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 47, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 81, 'label': '486.213.1y1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]]]}
  • id: 39552818
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 48, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 81, 'label': '486.213.1y2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]]]}
  • id: 39552819
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 49, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 81, 'label': '486.213.1z1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]]]}
  • id: 39552821
    {'center': '1.a1', 'center_index': 1, 'center_order': 486, 'counter': 50, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 81, 'label': '486.213.1z2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]]]}
  • id: 39552826
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 55, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.c1', 'kernel_order': 18, 'label': '486.213.3a1', 'nt': [9, 7], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 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: 39552827
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 56, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.c1', 'kernel_order': 18, 'label': '486.213.3a2', 'nt': [9, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -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: 39552828
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 57, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.c1', 'kernel_order': 18, 'label': '486.213.3b1', 'nt': [9, 7], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[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, 0]]]}
  • id: 39552829
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 58, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.c1', 'kernel_order': 18, 'label': '486.213.3b2', 'nt': [9, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[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, 0]]]}
  • id: 39552830
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 59, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.a1', 'kernel_order': 18, 'label': '486.213.3c1', 'nt': [9, 7], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 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: 39552832
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 60, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.a1', 'kernel_order': 18, 'label': '486.213.3c2', 'nt': [9, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -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: 39552833
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 61, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.c1', 'kernel_order': 9, 'label': '486.213.3d1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, -1]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, 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: 39552834
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 62, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.c1', 'kernel_order': 9, 'label': '486.213.3d2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 1]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, -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: 39552835
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 63, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.c1', 'kernel_order': 9, 'label': '486.213.3e1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-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, 0]]]}
  • id: 39552836
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 64, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.c1', 'kernel_order': 9, 'label': '486.213.3e2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-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, 0]]]}
  • id: 39552837
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 65, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 9, 'label': '486.213.3f1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 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: 39552838
    {'center': '9.a1', 'center_index': 9, 'center_order': 54, 'counter': 66, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 9, 'label': '486.213.3f2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, -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: 39552839
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 67, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3g1', 'nt': [27, 25], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 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]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 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]]]}
  • id: 39552840
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 68, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3g2', 'nt': [27, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, -3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -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]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [1, -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]]]}
  • id: 39552841
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 69, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3g3', 'nt': [27, 25], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [2, 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]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 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]]]}
  • id: 39552843
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 70, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3g4', 'nt': [27, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, -3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -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]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -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]]]}
  • id: 39552844
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 71, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3g5', 'nt': [27, 25], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 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]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[1, 1], [-1, 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]]]}
  • id: 39552845
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 72, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3g6', 'nt': [27, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, -3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[2, 2], [1, -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]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -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]]]}
  • id: 39552846
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 73, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3h1', 'nt': [27, 25], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, 3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 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]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 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]]]}
  • id: 39552847
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 74, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3h2', 'nt': [27, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, -3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -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]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[2, 2], [1, -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]]]}
  • id: 39552848
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 75, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3h3', 'nt': [27, 25], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, 3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 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]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 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]]]}
  • id: 39552849
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 76, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3h4', 'nt': [27, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, -3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -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]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -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]]]}
  • id: 39552850
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 77, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3h5', 'nt': [27, 25], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, 3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 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]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [2, 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]]]}
  • id: 39552851
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 78, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3h6', 'nt': [27, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, -3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -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]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -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]]]}
  • id: 39552852
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 79, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3i1', 'nt': [27, 25], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -3]], [[3, 0]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 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]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 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]]]}
  • id: 39552854
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 80, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3i2', 'nt': [27, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 3]], [[3, 0]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -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]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -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]]]}
  • id: 39552855
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 81, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3i3', 'nt': [27, 25], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -3]], [[3, 0]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 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]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 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]]]}
  • id: 39552856
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 82, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3i4', 'nt': [27, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 3]], [[3, 0]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -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]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -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]]]}
  • id: 39552857
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 83, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3i5', 'nt': [27, 25], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -3]], [[3, 0]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 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]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 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]]]}
  • id: 39552858
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 84, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '81.10', 'image_order': 81, 'indicator': 0, 'kernel': '81.a1', 'kernel_order': 6, 'label': '486.213.3i6', 'nt': [27, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 3]], [[3, 0]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -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]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -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]]]}
  • id: 39552859
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 85, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3j1', 'nt': [54, 0], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 3]], [[-3, -3]], [[-3, 3]], [[-3, -3]], [[-3, -3]], [[-3, 0]], [[-3, 3]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 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]], [[-1, 1], [1, 4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[-1, 1], [1, 4]], [[-1, 1], [1, 4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[2, 1], [1, 4]], [[1, 2], [2, -4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[2, 1], [1, 4]], [[-1, 1], [-2, 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]]]}
  • id: 39552860
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 86, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3j2', 'nt': [54, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -3]], [[-3, 3]], [[-3, -3]], [[-3, 3]], [[-3, 3]], [[-3, 0]], [[-3, -3]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -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]], [[1, 2], [2, -4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[2, 1], [1, 4]], [[1, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [2, -4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-2, 2], [-1, -4]], [[-1, 1], [1, 4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[1, 2], [-1, -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]]]}
  • id: 39552861
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 87, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3j3', 'nt': [54, 0], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 3]], [[-3, -3]], [[-3, 3]], [[-3, -3]], [[-3, -3]], [[-3, 0]], [[-3, 3]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [2, 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]], [[-1, 1], [-2, 4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [2, -4]], [[2, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [-2, 4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[-1, 1], [1, 4]], [[1, 2], [-1, -4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 1], [1, 4]], [[2, 1], [1, 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]]]}
  • id: 39552862
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 88, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3j4', 'nt': [54, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -3]], [[-3, 3]], [[-3, -3]], [[-3, 3]], [[-3, 3]], [[-3, 0]], [[-3, -3]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -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]], [[1, 2], [-1, -4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 1], [1, 4]], [[-2, 2], [-1, -4]], [[1, 2], [-1, -4]], [[1, 2], [-1, -4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[1, 2], [2, -4]], [[-1, 1], [-2, 4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [2, -4]], [[-2, 2], [-1, -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]]]}
  • id: 39552863
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 89, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3j5', 'nt': [54, 0], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 3]], [[-3, -3]], [[-3, 3]], [[-3, -3]], [[-3, -3]], [[-3, 0]], [[-3, 3]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 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]], [[2, 1], [1, 4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[1, 2], [-1, -4]], [[-1, 1], [1, 4]], [[2, 1], [1, 4]], [[2, 1], [1, 4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[-1, 1], [-2, 4]], [[-2, 2], [-1, -4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [1, 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]]]}
  • id: 39552865
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 90, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3j6', 'nt': [54, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, 0]], [[3, -3]], [[3, -3]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -3]], [[-3, 3]], [[-3, -3]], [[-3, 3]], [[-3, 3]], [[-3, 0]], [[-3, -3]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[2, 2], [1, -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]], [[-2, 2], [-1, -4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [-2, 4]], [[1, 2], [2, -4]], [[-2, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[1, 2], [-1, -4]], [[2, 1], [1, 4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[1, 2], [-1, -4]], [[1, 2], [2, -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]]]}
  • id: 39552866
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 91, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3k1', 'nt': [54, 0], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, -3]], [[3, 3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 3]], [[-3, -3]], [[-3, 0]], [[-3, -3]], [[-3, -3]], [[-3, 3]], [[-3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 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]], [[-1, 1], [-2, 4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[1, 2], [2, -4]], [[-1, 1], [-2, 4]], [[-1, 1], [1, 4]], [[2, 1], [1, 4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[1, 2], [2, -4]], [[-1, 1], [1, 4]], [[-1, 1], [1, 4]], [[2, 1], [1, 4]], [[2, 1], [1, 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]]]}
  • id: 39552867
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 92, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3k2', 'nt': [54, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 3]], [[3, -3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, -3]], [[-3, 3]], [[-3, 0]], [[-3, 3]], [[-3, 3]], [[-3, -3]], [[-3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -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]], [[1, 2], [-1, -4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [1, 4]], [[1, 2], [-1, -4]], [[1, 2], [2, -4]], [[-2, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[2, 1], [1, 4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[1, 2], [-1, -4]], [[-1, 1], [1, 4]], [[1, 2], [2, -4]], [[1, 2], [2, -4]], [[-2, 2], [-1, -4]], [[-2, 2], [-1, -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]]]}
  • id: 39552868
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 93, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3k3', 'nt': [54, 0], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, -3]], [[3, 3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 3]], [[-3, -3]], [[-3, 0]], [[-3, -3]], [[-3, -3]], [[-3, 3]], [[-3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 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]], [[2, 1], [1, 4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[1, 2], [-1, -4]], [[2, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [1, 4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [2, -4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[2, 1], [1, 4]], [[1, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [1, 4]], [[-1, 1], [1, 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]]]}
  • id: 39552869
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 94, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3k4', 'nt': [54, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 3]], [[3, -3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, -3]], [[-3, 3]], [[-3, 0]], [[-3, 3]], [[-3, 3]], [[-3, -3]], [[-3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -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]], [[-2, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-2, 2], [-1, -4]], [[1, 2], [-1, -4]], [[1, 2], [2, -4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 1], [1, 4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[-2, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[1, 2], [-1, -4]], [[1, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [2, -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]]]}
  • id: 39552870
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 95, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3k5', 'nt': [54, 0], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, -3]], [[3, 3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 3]], [[-3, -3]], [[-3, 0]], [[-3, -3]], [[-3, -3]], [[-3, 3]], [[-3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 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]], [[-1, 1], [1, 4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[-2, 2], [-1, -4]], [[-1, 1], [1, 4]], [[2, 1], [1, 4]], [[-1, 1], [-2, 4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[1, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[-1, 1], [1, 4]], [[-2, 2], [-1, -4]], [[2, 1], [1, 4]], [[2, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [-2, 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]]]}
  • id: 39552871
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 96, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3k6', 'nt': [54, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 3]], [[3, -3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, -3]], [[-3, 3]], [[-3, 0]], [[-3, 3]], [[-3, 3]], [[-3, -3]], [[-3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -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]], [[1, 2], [2, -4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[2, 1], [1, 4]], [[1, 2], [2, -4]], [[-2, 2], [-1, -4]], [[1, 2], [-1, -4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[1, 2], [2, -4]], [[2, 1], [1, 4]], [[-2, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[1, 2], [-1, -4]], [[1, 2], [-1, -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]]]}
  • id: 39552872
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 97, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3l1', 'nt': [54, 0], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, -3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -3]], [[-3, 0]], [[-3, 0]], [[-3, 3]], [[-3, -3]], [[-3, 3]], [[-3, 3]], [[-3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 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]], [[2, 1], [1, 4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[-1, 1], [1, 4]], [[1, 2], [2, -4]], [[2, 1], [1, 4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[-1, 1], [1, 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]]]}
  • id: 39552873
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 98, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3l2', 'nt': [54, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 3]], [[-3, 0]], [[-3, 0]], [[-3, -3]], [[-3, 3]], [[-3, -3]], [[-3, -3]], [[-3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[2, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -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]], [[-2, 2], [-1, -4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[1, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[1, 2], [2, -4]], [[-1, 1], [1, 4]], [[-2, 2], [-1, -4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -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]]]}
  • id: 39552874
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 99, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3l3', 'nt': [54, 0], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, -3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -3]], [[-3, 0]], [[-3, 0]], [[-3, 3]], [[-3, -3]], [[-3, 3]], [[-3, 3]], [[-3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 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]], [[-1, 1], [1, 4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[2, 1], [1, 4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[1, 2], [-1, -4]], [[-1, 1], [1, 4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 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]]]}
  • id: 39552775
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 100, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3l4', 'nt': [54, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 3]], [[-3, 0]], [[-3, 0]], [[-3, -3]], [[-3, 3]], [[-3, -3]], [[-3, -3]], [[-3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-1, 2], [-2, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [-2, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -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]], [[1, 2], [2, -4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[-2, 2], [-1, -4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[1, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[1, 2], [2, -4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [-1, -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]]]}
  • id: 39552776
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 101, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3l5', 'nt': [54, 0], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, -3]], [[3, 0]], [[3, 3]], [[3, -3]], [[3, 3]], [[3, 3]], [[3, 0]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -3]], [[-3, 0]], [[-3, 0]], [[-3, 3]], [[-3, -3]], [[-3, 3]], [[-3, 3]], [[-3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-2, -4]], [[-2, 1], [-1, 4]], [[1, 1], [2, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 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]], [[-1, 1], [-2, 4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[-1, 1], [1, 4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -4]], [[2, 1], [1, 4]], [[-2, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 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]]]}
  • id: 39552777
    {'center': '27.a1', 'center_index': 27, 'center_order': 18, 'counter': 102, 'cyclotomic_n': 9, 'dim': 3, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '486.213', 'group_counter': 213, 'group_order': 486, 'image': None, 'image_isoclass': '162.31', 'image_order': 162, 'indicator': 0, 'kernel': '162.a1', 'kernel_order': 3, 'label': '486.213.3l6', 'nt': [54, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 3]], [[3, 0]], [[3, -3]], [[3, 3]], [[3, -3]], [[3, -3]], [[3, 0]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 3]], [[-3, 0]], [[-3, 0]], [[-3, -3]], [[-3, 3]], [[-3, -3]], [[-3, -3]], [[-3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 4]], [[2, 2], [1, -4]], [[-1, 2], [1, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[2, 2], [1, -4]], [[1, 1], [2, 4]], [[2, 2], [1, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -4]], [[1, 1], [-1, 4]], [[1, 1], [2, 4]], [[-1, 2], [-2, -4]], [[-1, 2], [1, -4]], [[-2, 1], [-1, 4]], [[-1, 2], [-2, -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]], [[1, 2], [-1, -4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[-1, 1], [1, 4]], [[1, 2], [2, -4]], [[-2, 2], [-1, -4]], [[1, 2], [2, -4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[-1, 1], [1, 4]], [[-1, 1], [-2, 4]], [[2, 1], [1, 4]], [[-2, 2], [-1, -4]], [[2, 1], [1, 4]], [[1, 2], [-1, -4]], [[1, 2], [2, -4]], [[1, 2], [-1, -4]], [[-2, 2], [-1, -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]]]}
• 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: 272437132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 486, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '486.213.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '486.213', 'subgroup_hash': 213, 'subgroup_order': 486, 'subgroup_tex': 'C_3\\times C_6.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 272437143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': True, 'centralizer_order': 18, 'characteristic': True, 'core_order': 243, 'counter': 2, 'cyclic': False, 'direct': True, 'hall': 3, 'label': '486.213.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '243.54', 'subgroup_hash': 54, 'subgroup_order': 243, 'subgroup_tex': 'C_3^2.C_3^3', 'supersolvable': True, 'sylow': 3}
  • id: 272437154
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': True, 'core_order': 162, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.47', 'subgroup_hash': 47, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 272437165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 162, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.3.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.49', 'subgroup_hash': 49, 'subgroup_order': 162, 'subgroup_tex': 'C_{18}:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 272437171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': True, 'centralizer_order': 18, 'characteristic': False, 'core_order': 162, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '486.213.3.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '162.31', 'subgroup_hash': 31, 'subgroup_order': 162, 'subgroup_tex': 'C_6.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 272437172
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': True, 'core_order': 81, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.11', 'subgroup_hash': 11, 'subgroup_order': 81, 'subgroup_tex': 'C_3^2\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 272437173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 81, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.13', 'subgroup_hash': 13, 'subgroup_order': 81, 'subgroup_tex': 'C_9:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 272437174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': True, 'centralizer_order': 18, 'characteristic': False, 'core_order': 81, 'counter': 8, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '486.213.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '81.10', 'subgroup_hash': 10, 'subgroup_order': 81, 'subgroup_tex': 'C_3.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 272437175
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': True, 'core_order': 54, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437133
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 54, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.9.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 272437134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 54, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.9.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437135
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 18, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '486.213.9.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 272437136
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '486.213.9.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 272437137
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 18, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '486.213.9.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 272437138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '486.213.9.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437139
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': True, 'core_order': 27, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 272437140
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 27, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 272437141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 27, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.18.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 272437142
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 9, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '486.213.18.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 272437144
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '486.213.18.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 272437145
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 9, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '486.213.18.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 272437146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '486.213.18.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 272437147
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': True, 'central_factor': False, 'centralizer_order': 486, 'characteristic': True, 'core_order': 18, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.27.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '27.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '27.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 27, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\He_3', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'S', 'U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437148
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': True, 'core_order': 18, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.27.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '27.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '27.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 27, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437149
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 18, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.27.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '27.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '27.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 27, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437150
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 6, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '486.213.27.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437151
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 6, 'counter': 27, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '486.213.27.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 272437152
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 6, 'counter': 28, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '486.213.27.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 272437153
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': True, 'central_factor': False, 'centralizer_order': 486, 'characteristic': True, 'core_order': 9, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.54.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 272437155
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': True, 'core_order': 9, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.54.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['D', 'Phi', 'L1', 'D1', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 272437156
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 9, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '486.213.54.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 272437157
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '486.213.54.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 272437158
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '486.213.54.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 272437159
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 34, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '486.213.54.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 272437160
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': True, 'central_factor': False, 'centralizer_order': 486, 'characteristic': False, 'core_order': 6, 'counter': 35, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '486.213.81.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '81.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '81.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 81, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3.\\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437161
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': True, 'central_factor': False, 'centralizer_order': 486, 'characteristic': True, 'core_order': 6, 'counter': 36, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '486.213.81.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '81.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '81.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 81, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437162
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 2, 'counter': 37, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '486.213.81.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437163
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 2, 'counter': 38, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '486.213.81.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 272437164
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': True, 'central_factor': False, 'centralizer_order': 486, 'characteristic': False, 'core_order': 3, 'counter': 39, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '486.213.162.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '162.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '162.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 162, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.\\He_3', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 272437166
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': True, 'central_factor': False, 'centralizer_order': 486, 'characteristic': True, 'core_order': 3, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '486.213.162.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '162.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '162.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 162, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times \\He_3', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C5'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 272437167
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 41, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '486.213.162.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 272437168
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 42, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '486.213.162.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 272437169
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': True, 'central_factor': False, 'centralizer_order': 486, 'characteristic': True, 'core_order': 2, 'counter': 43, 'cyclic': True, 'direct': True, 'hall': 2, 'label': '486.213.243.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '243.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '243.54', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 54, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 243, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2.C_3^3', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
  • id: 272437170
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '486.213', 'ambient_counter': 213, 'ambient_order': 486, 'ambient_tex': 'C_3\\times C_6.\\He_3', 'central': True, 'central_factor': False, 'centralizer_order': 486, 'characteristic': True, 'core_order': 1, 'counter': 44, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '486.213.486.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '486.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '486.213', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 213, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 486, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6.\\He_3', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'L3', 'D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 272437132
    {'ambient': '486.213', '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': '27.a1', 'complements': ['486.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '3.a1', '3.b1', '3.c1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5787, 4784, 3169, 5281], 'generators': [511784, 19927, 373987, 373996, 376801, 203473], 'label': '486.213.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '3.a1', '3.b1', '3.c1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '27.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 272437133
    {'ambient': '486.213', 'aut_centralizer_order': 486, 'aut_label': '9.b1', 'aut_quo_index': 4, 'aut_stab_index': 3, 'aut_weyl_group': '18.3', 'aut_weyl_index': 1458, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['3.a1', '3.c1'], 'contains': ['18.b1', '27.b1', '27.e1'], 'core': '9.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1566, 2115, 2340, 7564], 'generators': [511784, 203473, 373987, 19927], 'label': '486.213.9.b1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.b1', 'normal_contained_in': ['3.a1', '3.c1'], 'normal_contains': ['18.b1', '27.b1'], 'normalizer': '1.a1', 'old_label': '9.b1', 'projective_image': '81.12', 'quotient_action_image': '3.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '9.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437134
    {'ambient': '486.213', 'aut_centralizer_order': 54, 'aut_label': '9.c1', 'aut_quo_index': 4, 'aut_stab_index': 9, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.a1', 'complements': [], 'conjugacy_class_count': 9, 'contained_in': ['3.b1', '3.c1'], 'contains': ['18.c1', '27.b1', '27.f1'], 'core': '9.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [6061, 4863, 6408, 5812], 'generators': [511784, 376801, 373987, 19927], 'label': '486.213.9.c1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.c1', 'normal_contained_in': ['3.b1', '3.c1'], 'normal_contains': ['18.c1', '27.b1'], 'normalizer': '1.a1', 'old_label': '9.c1', 'projective_image': '81.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.c1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 272437135
    {'ambient': '486.213', 'aut_centralizer_order': 81, 'aut_label': '9.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '108.28', 'aut_weyl_index': 243, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['18.d1', '27.a1', '27.e1'], 'core': '27.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [482, -1, 3348, -1], 'generators': [511784, 373996, 203473, 19927], 'label': '486.213.9.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '9.d1', 'projective_image': '27.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437136
    {'ambient': '486.213', 'aut_centralizer_order': 27, 'aut_label': '9.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '108.28', 'aut_weyl_index': 243, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['3.b1'], 'contains': ['18.e1', '27.a1', '27.f1'], 'core': '27.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7158, -1, 8399, -1], 'generators': [511784, 373996, 376801, 19927], 'label': '486.213.9.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '9.e1', 'projective_image': '27.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.e1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437137
    {'ambient': '486.213', 'aut_centralizer_order': 81, 'aut_label': '9.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['3.a1'], 'contains': ['18.f1', '27.c1', '27.e1'], 'core': '27.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [2650, -1, 4356, -1], 'generators': [511784, 196831, 380638, 19927], 'label': '486.213.9.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '9.f1', 'projective_image': '81.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437138
    {'ambient': '486.213', 'aut_centralizer_order': 27, 'aut_label': '9.g1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['3.b1'], 'contains': ['18.g1', '27.c1', '27.f1'], 'core': '27.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [8508, -1, 9419, -1], 'generators': [511784, 196831, 22255, 19927], 'label': '486.213.9.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '9.g1', 'projective_image': '81.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.g1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 272437139
    {'ambient': '486.213', 'aut_centralizer_order': 729, 'aut_label': '18.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '36.10', 'aut_weyl_index': 729, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.b1', '9.a1'], 'contains': ['54.a1', '54.b1', '54.c1', '54.d1'], 'core': '18.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6625, 6368, 4485, 5228], 'generators': [373996, 373987, 19927], 'label': '486.213.18.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1', '6.b1', '9.a1'], 'normal_contains': ['54.a1', '54.b1', '54.c1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '54.10', 'quotient_action_image': '3.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437140
    {'ambient': '486.213', 'aut_centralizer_order': 486, 'aut_label': '18.b1', 'aut_quo_index': 4, 'aut_stab_index': 3, 'aut_weyl_group': '18.3', 'aut_weyl_index': 1458, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['6.a1', '6.c1', '9.b1'], 'contains': ['54.b1', '54.e1'], 'core': '18.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5143, 2126, 1017, 4071], 'generators': [203473, 373987], 'label': '486.213.18.b1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.b1', 'normal_contained_in': ['6.a1', '6.c1', '9.b1'], 'normal_contains': ['54.b1'], 'normalizer': '1.a1', 'old_label': '18.b1', 'projective_image': '162.48', 'quotient_action_image': '3.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437141
    {'ambient': '486.213', 'aut_centralizer_order': 54, 'aut_label': '18.c1', 'aut_quo_index': 4, 'aut_stab_index': 9, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.a1', 'complements': [], 'conjugacy_class_count': 9, 'contained_in': ['6.b1', '6.c1', '9.c1'], 'contains': ['54.b1', '54.f1'], 'core': '18.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [9518, 3860, 3948, 2627], 'generators': [376801, 373987], 'label': '486.213.18.c1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.c1', 'normal_contained_in': ['6.b1', '6.c1', '9.c1'], 'normal_contains': ['54.b1'], 'normalizer': '1.a1', 'old_label': '18.c1', 'projective_image': '162.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 272437142
    {'ambient': '486.213', 'aut_centralizer_order': 81, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '108.28', 'aut_weyl_index': 243, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '9.d1'], 'contains': ['54.a1', '54.e1'], 'core': '54.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1819, -1, 1858, -1], 'generators': [373996, 203473], 'label': '486.213.18.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '18.d1', 'projective_image': '54.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437143
    {'ambient': '486.213', 'aut_centralizer_order': 1, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '26244.nn', 'aut_weyl_index': 1, 'centralizer': '27.a1', 'complements': ['243.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6220, 5525, 1153, 1863], 'generators': [373996, 376801, 203473], 'label': '486.213.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '6.c1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '54.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 272437144
    {'ambient': '486.213', 'aut_centralizer_order': 27, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '108.28', 'aut_weyl_index': 243, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.b1', '9.e1'], 'contains': ['54.a1', '54.f1'], 'core': '54.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8148, -1, 6000, -1], 'generators': [373996, 376801], 'label': '486.213.18.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.e1', 'projective_image': '54.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437145
    {'ambient': '486.213', 'aut_centralizer_order': 81, 'aut_label': '18.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.a1', '9.f1'], 'contains': ['54.c1', '54.e1'], 'core': '54.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [3228, -1, 2699, -1], 'generators': [196831, 203473], 'label': '486.213.18.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '18.f1', 'projective_image': '162.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437146
    {'ambient': '486.213', 'aut_centralizer_order': 27, 'aut_label': '18.g1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.b1', '9.g1'], 'contains': ['54.c1', '54.f1'], 'core': '54.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [8906, -1, 6705, -1], 'generators': [196831, 376801], 'label': '486.213.18.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.g1', 'projective_image': '162.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.g1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 272437147
    {'ambient': '486.213', 'aut_centralizer_order': 2187, 'aut_label': '27.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2187, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '9.d1', '9.e1'], 'contains': ['54.a1', '81.a1', '81.b1'], 'core': '27.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2250, 9254, 7410, 9273], 'generators': [511784, 373996, 19927], 'label': '486.213.27.a1', 'mobius_quo': -3, 'mobius_sub': 0, 'normal_closure': '27.a1', 'normal_contained_in': ['9.a1'], 'normal_contains': ['54.a1', '81.a1', '81.b1'], 'normalizer': '1.a1', 'old_label': '27.a1', 'projective_image': '27.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '27.3', 'quotient_action_kernel_order': 27, 'quotient_fusion': None, 'short_label': '27.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437148
    {'ambient': '486.213', 'aut_centralizer_order': 4374, 'aut_label': '27.b1', 'aut_quo_index': 104, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '9.b1', '9.c1'], 'contains': ['54.b1', '81.b1', '81.c1'], 'core': '27.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3408, 4851, 5159, 6386], 'generators': [511784, 373987, 19927], 'label': '486.213.27.b1', 'mobius_quo': 0, 'mobius_sub': -27, 'normal_closure': '27.b1', 'normal_contained_in': ['9.a1', '9.b1', '9.c1'], 'normal_contains': ['54.b1', '81.b1'], 'normalizer': '1.a1', 'old_label': '27.b1', 'projective_image': '81.12', 'quotient_action_image': '3.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '27.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437149
    {'ambient': '486.213', 'aut_centralizer_order': 2187, 'aut_label': '27.c1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['9.a1', '9.f1', '9.g1'], 'contains': ['54.c1', '81.b1', '81.d1'], 'core': '27.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [5216, 7269, 8251, 7829], 'generators': [511784, 196831, 19927], 'label': '486.213.27.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '27.c1', 'normal_contained_in': ['9.a1'], 'normal_contains': ['54.c1', '81.b1'], 'normalizer': '1.a1', 'old_label': '27.c1', 'projective_image': '81.12', 'quotient_action_image': '3.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '27.c1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437150
    {'ambient': '486.213', 'aut_centralizer_order': 1458, 'aut_label': '27.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['9.a1'], 'contains': ['54.d1', '81.a1', '81.c1', '81.d1'], 'core': '81.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4312, -1, 9635, -1], 'generators': [511784, 373996, 374230], 'label': '486.213.27.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '27.d1', 'projective_image': '81.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437151
    {'ambient': '486.213', 'aut_centralizer_order': 486, 'aut_label': '27.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['9.b1', '9.d1', '9.f1'], 'contains': ['54.e1', '81.b1'], 'core': '81.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [748, -1, 3391, -1], 'generators': [511784, 203473, 19927], 'label': '486.213.27.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '27.e1', 'projective_image': '81.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437152
    {'ambient': '486.213', 'aut_centralizer_order': 162, 'aut_label': '27.f1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['9.c1', '9.e1', '9.g1'], 'contains': ['54.f1', '81.b1'], 'core': '81.b1', 'coset_action_label': None, 'count': 27, 'diagramx': [7729, -1, 8943, -1], 'generators': [511784, 376801, 19927], 'label': '486.213.27.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.f1', 'projective_image': '81.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.f1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437153
    {'ambient': '486.213', 'aut_centralizer_order': 2187, 'aut_label': '54.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2187, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '18.d1', '18.e1', '27.a1'], 'contains': ['162.a1', '162.b1'], 'core': '54.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4378, 8386, 5011, 7012], 'generators': [373996, 19927], 'label': '486.213.54.a1', 'mobius_quo': 3, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': ['18.a1', '27.a1'], 'normal_contains': ['162.a1', '162.b1'], 'normalizer': '1.a1', 'old_label': '54.a1', 'projective_image': '54.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '54.10', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '54.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437154
    {'ambient': '486.213', 'aut_centralizer_order': 81, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '324.122', 'aut_weyl_index': 81, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '9.a1', '9.b1', '9.d1', '9.f1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3853, 4236, 3799, 8190], 'generators': [511784, 19927, 373996, 203473, 373987], 'label': '486.213.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '9.a1', '9.b1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '27.3', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437155
    {'ambient': '486.213', 'aut_centralizer_order': 4374, 'aut_label': '54.b1', 'aut_quo_index': 104, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '18.b1', '18.c1', '27.b1'], 'contains': ['162.b1', '162.c1'], 'core': '54.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7097, 4851, 4491, 5228], 'generators': [373987, 19927], 'label': '486.213.54.b1', 'mobius_quo': 0, 'mobius_sub': 27, 'normal_closure': '54.b1', 'normal_contained_in': ['18.a1', '18.b1', '18.c1', '27.b1'], 'normal_contains': ['162.b1'], 'normalizer': '1.a1', 'old_label': '54.b1', 'projective_image': '162.48', 'quotient_action_image': '3.1', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '54.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437156
    {'ambient': '486.213', 'aut_centralizer_order': 2187, 'aut_label': '54.c1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['18.a1', '18.f1', '18.g1', '27.c1'], 'contains': ['162.b1', '162.d1'], 'core': '54.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [6552, 6585, 5518, 6141], 'generators': [196831, 19927], 'label': '486.213.54.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '54.c1', 'normal_contained_in': ['18.a1', '27.c1'], 'normal_contains': ['162.b1'], 'normalizer': '1.a1', 'old_label': '54.c1', 'projective_image': '162.48', 'quotient_action_image': '3.1', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '54.c1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437157
    {'ambient': '486.213', 'aut_centralizer_order': 1458, 'aut_label': '54.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['18.a1', '27.d1'], 'contains': ['162.a1', '162.c1', '162.d1'], 'core': '162.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5681, -1, 6915, -1], 'generators': [373996, 374230], 'label': '486.213.54.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '54.d1', 'projective_image': '162.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437158
    {'ambient': '486.213', 'aut_centralizer_order': 486, 'aut_label': '54.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['18.b1', '18.d1', '18.f1', '27.e1'], 'contains': ['162.b1'], 'core': '162.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [1419, -1, 2699, -1], 'generators': [203473], 'label': '486.213.54.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '54.e1', 'projective_image': '162.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437159
    {'ambient': '486.213', 'aut_centralizer_order': 162, 'aut_label': '54.f1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['18.c1', '18.e1', '18.g1', '27.f1'], 'contains': ['162.b1'], 'core': '162.b1', 'coset_action_label': None, 'count': 27, 'diagramx': [8148, -1, 5994, -1], 'generators': [376801], 'label': '486.213.54.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.f1', 'projective_image': '162.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.f1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437160
    {'ambient': '486.213', 'aut_centralizer_order': 4374, 'aut_label': '81.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '1.a1', 'complements': ['6.c1'], 'conjugacy_class_count': 3, 'contained_in': ['27.a1', '27.d1'], 'contains': ['162.a1', '243.a1'], 'core': '81.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3022, 9013, 7836, 8594], 'generators': [511784, 373996], 'label': '486.213.81.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '81.a1', 'normal_contained_in': ['27.a1'], 'normal_contains': ['162.a1', '243.a1'], 'normalizer': '1.a1', 'old_label': '81.a1', 'projective_image': '81.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '81.10', 'quotient_action_kernel_order': 81, 'quotient_fusion': None, 'short_label': '81.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437161
    {'ambient': '486.213', 'aut_centralizer_order': 13122, 'aut_label': '81.b1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['27.a1', '27.b1', '27.c1', '27.e1', '27.f1'], 'contains': ['162.b1', '243.a1'], 'core': '81.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3500, 7269, 6439, 7829], 'generators': [511784, 19927], 'label': '486.213.81.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '81.b1', 'normal_contained_in': ['27.a1', '27.b1', '27.c1'], 'normal_contains': ['162.b1', '243.a1'], 'normalizer': '1.a1', 'old_label': '81.b1', 'projective_image': '81.12', 'quotient_action_image': '1.1', 'quotient_action_kernel': '81.12', 'quotient_action_kernel_order': 81, 'quotient_fusion': None, 'short_label': '81.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437162
    {'ambient': '486.213', 'aut_centralizer_order': 8748, 'aut_label': '81.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26244, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.b1', '27.d1'], 'contains': ['162.c1', '243.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3979, -1, 7391, -1], 'generators': [511784, 374230], 'label': '486.213.81.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '27.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '81.c1', 'projective_image': '243.54', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437163
    {'ambient': '486.213', 'aut_centralizer_order': 4374, 'aut_label': '81.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26244, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['27.c1', '27.d1'], 'contains': ['162.d1', '243.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5216, -1, 8281, -1], 'generators': [511784, 197317], 'label': '486.213.81.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '27.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '81.d1', 'projective_image': '243.54', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437164
    {'ambient': '486.213', 'aut_centralizer_order': 4374, 'aut_label': '162.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '1.a1', 'complements': ['3.c1'], 'conjugacy_class_count': 3, 'contained_in': ['54.a1', '54.d1', '81.a1'], 'contains': ['486.a1'], 'core': '162.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4352, 8671, 6705, 7415], 'generators': [373996], 'label': '486.213.162.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '162.a1', 'normal_contained_in': ['54.a1', '81.a1'], 'normal_contains': ['486.a1'], 'normalizer': '1.a1', 'old_label': '162.a1', 'projective_image': '162.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '162.31', 'quotient_action_kernel_order': 162, 'quotient_fusion': None, 'short_label': '162.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437165
    {'ambient': '486.213', 'aut_centralizer_order': 9, 'aut_label': '3.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '972.812', 'aut_weyl_index': 27, 'centralizer': '27.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['6.b1', '9.a1', '9.c1', '9.e1', '9.g1'], 'core': '3.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7131, 7098, 6909, 6322], 'generators': [511784, 19927, 373996, 376801, 373987], 'label': '486.213.3.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.b1', '9.a1', '9.c1'], 'normalizer': '1.a1', 'old_label': '3.b1', 'projective_image': '27.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.b1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 272437166
    {'ambient': '486.213', 'aut_centralizer_order': 13122, 'aut_label': '162.b1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['54.a1', '54.b1', '54.c1', '54.e1', '54.f1', '81.b1'], 'contains': ['486.a1'], 'core': '162.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5089, 6984, 5518, 6651], 'generators': [19927], 'label': '486.213.162.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '162.b1', 'normal_contained_in': ['54.a1', '54.b1', '54.c1', '81.b1'], 'normal_contains': ['486.a1'], 'normalizer': '1.a1', 'old_label': '162.b1', 'projective_image': '162.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '162.48', 'quotient_action_kernel_order': 162, 'quotient_fusion': None, 'short_label': '162.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437167
    {'ambient': '486.213', 'aut_centralizer_order': 8748, 'aut_label': '162.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26244, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.b1', '54.d1', '81.c1'], 'contains': ['486.a1'], 'core': '486.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6067, -1, 6260, -1], 'generators': [374230], 'label': '486.213.162.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '162.c1', 'projective_image': '486.213', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437168
    {'ambient': '486.213', 'aut_centralizer_order': 4374, 'aut_label': '162.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26244, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['54.c1', '54.d1', '81.d1'], 'contains': ['486.a1'], 'core': '486.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5568, -1, 7150, -1], 'generators': [196831], 'label': '486.213.162.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '162.d1', 'projective_image': '486.213', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437169
    {'ambient': '486.213', 'aut_centralizer_order': 26244, 'aut_label': '243.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26244, 'centralizer': '1.a1', 'complements': ['2.a1'], 'conjugacy_class_count': 1, 'contained_in': ['81.a1', '81.b1', '81.c1', '81.d1'], 'contains': ['486.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3979, 7771, 7595, 8179], 'generators': [511784], 'label': '486.213.243.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '243.a1', 'normal_contained_in': ['81.a1', '81.b1'], 'normal_contains': ['486.a1'], 'normalizer': '1.a1', 'old_label': '243.a1', 'projective_image': '243.54', 'quotient_action_image': '1.1', 'quotient_action_kernel': '243.54', 'quotient_action_kernel_order': 243, 'quotient_fusion': None, 'short_label': '243.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437170
    {'ambient': '486.213', 'aut_centralizer_order': None, 'aut_label': '486.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['162.a1', '162.b1', '162.c1', '162.d1', '243.a1'], 'contains': [], 'core': '486.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5089, 7771, 6705, 7415], 'generators': [], 'label': '486.213.486.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '486.a1', 'normal_contained_in': ['162.a1', '162.b1', '243.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '486.a1', 'projective_image': '486.213', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 272437171
    {'ambient': '486.213', 'aut_centralizer_order': 6, 'aut_label': '3.c1', 'aut_quo_index': 1, 'aut_stab_index': 9, 'aut_weyl_group': '486.130', 'aut_weyl_index': 54, 'centralizer': '27.a1', 'complements': ['162.a1', '162.d1'], 'conjugacy_class_count': 9, 'contained_in': ['1.a1'], 'contains': ['6.c1', '9.b1', '9.c1'], 'core': '3.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [5289, 1910, 2538, 4241], 'generators': [511784, 19927, 376801, 203473, 373987], 'label': '486.213.3.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.c1', '9.b1', '9.c1'], 'normalizer': '1.a1', 'old_label': '3.c1', 'projective_image': '81.12', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.c1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 272437172
    {'ambient': '486.213', 'aut_centralizer_order': 81, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '324.122', 'aut_weyl_index': 81, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['18.a1', '18.b1', '18.d1', '18.f1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4591, 4088, 1351, 4092], 'generators': [373996, 203473, 373987], 'label': '486.213.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['18.a1', '18.b1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '54.10', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 272437173
    {'ambient': '486.213', 'aut_centralizer_order': 9, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '972.812', 'aut_weyl_index': 27, 'centralizer': '27.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '3.b1'], 'contains': ['18.a1', '18.c1', '18.e1', '18.g1'], 'core': '6.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8913, 5935, 5375, 2373], 'generators': [373996, 376801, 373987], 'label': '486.213.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.a1', '3.b1'], 'normal_contains': ['18.a1', '18.c1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '54.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 272437174
    {'ambient': '486.213', 'aut_centralizer_order': 6, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 9, 'aut_weyl_group': '486.130', 'aut_weyl_index': 54, 'centralizer': '27.a1', 'complements': ['81.a1', '81.d1'], 'conjugacy_class_count': 9, 'contained_in': ['2.a1', '3.c1'], 'contains': ['18.b1', '18.c1'], 'core': '6.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [5947, 746, 405, 695], 'generators': [376801, 203473], 'label': '486.213.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.a1', '3.c1'], 'normal_contains': ['18.b1', '18.c1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '162.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 272437175
    {'ambient': '486.213', 'aut_centralizer_order': 729, 'aut_label': '9.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '36.10', 'aut_weyl_index': 729, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '3.b1'], 'contains': ['18.a1', '27.a1', '27.b1', '27.c1', '27.d1'], 'core': '9.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4226, 7577, 7410, 9262], 'generators': [511784, 373996, 373987, 19927], 'label': '486.213.9.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.a1', 'normal_contained_in': ['3.a1', '3.b1'], 'normal_contains': ['18.a1', '27.a1', '27.b1', '27.c1'], 'normalizer': '1.a1', 'old_label': '9.a1', 'projective_image': '27.3', 'quotient_action_image': '3.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}