Abstract group data - 264.26

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• gps_groups •

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

  
  {'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 660, 'aut_gen_orders': [20, 30, 10, 60, 30], 'aut_gens': [[1, 4], [135, 214], [249, 54], [137, 188], [117, 102], [65, 76]], 'aut_group': None, 'aut_hash': 3017774860523347021, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5280, 'aut_permdeg': 132, 'aut_perms': [79117083684770278281974879404225953382330106893062154257908055739483843802891833833843304972563075539655906380186088695982859858580225212702293846510389087746366153008677722821968835631337390581086858022261929659645827439081, 75411084350692281250927972817761066250787393778476748534557722605365238211092398299164324954585139598215011212521776493898604619584938711216942158173625673071597048321013501692165308768077896735566404123436037299898759260463, 55931574563573035198748287469623735764971573155741108596708456255999626283106132655258929871714880039068261040960367041828615789033316058076764121651820013865253816232964091929212299744953801671107316542076590867456342042521, 95530065899954599886949819082396320208820403147759780309945283469819652072422493557512750179125586081549990046716225027569753094070890068526427235946234900359396612999686265577205681638438454839823845371013241737478716107322, 83532114782973985030186893104702651742935078185381517948367821536659545740389568248662279501434913443759930082309440448141308054316011787948031403035515304612768338109037058571248382839447166031805453053925548562859090197366], 'aut_phi_ratio': 66.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [3, 2, 1, 1], [4, 33, 4, 1], [6, 2, 1, 1], [6, 2, 2, 1], [11, 2, 5, 1], [22, 2, 5, 1], [22, 2, 10, 1], [33, 2, 10, 1], [66, 2, 10, 1], [66, 2, 20, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{66}.C_{10}.C_2^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '8.3', 'autcent_hash': 3, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'D_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 330, 'autcentquo_group': '660.15', 'autcentquo_hash': 15, 'autcentquo_nilpotent': False, 'autcentquo_order': 660, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 2, 1], [4, 33, 4], [6, 2, 3], [11, 2, 5], [22, 2, 15], [33, 2, 10], [66, 2, 30]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '66.3', 'commutator_count': 1, 'commutator_label': '33.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 26, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['132.3', 1], ['2.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 1], [4, 33, 2, 2], [6, 2, 1, 3], [11, 2, 5, 1], [22, 2, 5, 3], [33, 2, 10, 1], [66, 2, 10, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3, 'exponent': 132, 'exponents_of_order': [3, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '132.9', 'hash': 26, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 66, 'inner_gen_orders': [2, 33], 'inner_gens': [[1, 260], [9, 4]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 66, 'inner_split': True, 'inner_tex': 'D_{33}', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 64]], 'label': '264.26', 'linC_count': 120, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 6, 'linQ_dim': 14, 'linQ_dim_count': 8, 'linR_count': 20, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C66:C4', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 13, 'number_characteristic_subgroups': 13, 'number_conjugacy_classes': 72, 'number_divisions': 18, 'number_normal_subgroups': 23, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 32, 'number_subgroups': 164, 'old_label': None, 'order': 264, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 3], [3, 2], [4, 132], [6, 6], [11, 10], [22, 30], [33, 20], [66, 60]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 20, 'outer_gen_orders': [2, 2, 20], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[3, 172], [133, 172], [133, 102]], 'outer_group': '80.46', 'outer_hash': 46, 'outer_nilpotent': True, 'outer_order': 80, 'outer_permdeg': 11, 'outer_perms': [720, 3669840, 4354650], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4\\times C_{10}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [10, 4], [20, 4]], 'representations': {'PC': {'code': 19077683717121662100019, 'gens': [1, 3], 'pres': [5, -2, -2, -2, -3, -11, 10, 3902, 42, 5123, 78, 6004]}, 'GLZN': {'d': 2, 'p': 44, 'gens': [1788885, 1959255, 1044979, 85361, 874974]}, 'Perm': {'d': 20, 'gens': [128403162022025647, 1307674368000, 256094948229120000, 6706022400, 4364893]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{66}:C_4', 'transitive_degree': 264, '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: 103682936
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 26, 'group_order': 264, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 103682947
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 26, 'group_order': 264, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 132, 'size': 1}
  • id: 103682958
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 26, 'group_order': 264, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 2, 'size': 1}
  • id: 103682969
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 26, 'group_order': 264, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4], 'representative': 134, 'size': 1}
  • id: 103682980
    {'aut_label': '3A', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 26, 'group_order': 264, 'label': '3A', 'order': 3, 'powers': [5, 1, 5, 5], 'representative': 88, 'size': 2}
  • id: 103682991
    {'aut_label': '4A1', 'centralizer': '33.a1.a1', 'counter': 6, 'group_counter': 26, 'group_order': 264, 'label': '4A1', 'order': 4, 'powers': [3, 7, 6, 7], 'representative': 233, 'size': 33}
  • id: 103683002
    {'aut_label': '4A1', 'centralizer': '33.a1.a1', 'counter': 7, 'group_counter': 26, 'group_order': 264, 'label': '4A-1', 'order': 4, 'powers': [3, 6, 7, 6], 'representative': 235, 'size': 33}
  • id: 103683006
    {'aut_label': '4A1', 'centralizer': '33.a1.a1', 'counter': 8, 'group_counter': 26, 'group_order': 264, 'label': '4B1', 'order': 4, 'powers': [3, 9, 8, 9], 'representative': 223, 'size': 33}
  • id: 103683007
    {'aut_label': '4A1', 'centralizer': '33.a1.a1', 'counter': 9, 'group_counter': 26, 'group_order': 264, 'label': '4B-1', 'order': 4, 'powers': [3, 8, 9, 8], 'representative': 221, 'size': 33}
  • id: 103682937
    {'aut_label': '6A', 'centralizer': '2.a1.a1', 'counter': 10, 'group_counter': 26, 'group_order': 264, 'label': '6A', 'order': 6, 'powers': [5, 2, 10, 10], 'representative': 44, 'size': 2}
  • id: 103682938
    {'aut_label': '6B', 'centralizer': '2.a1.a1', 'counter': 11, 'group_counter': 26, 'group_order': 264, 'label': '6B', 'order': 6, 'powers': [5, 3, 11, 11], 'representative': 90, 'size': 2}
  • id: 103682939
    {'aut_label': '6A', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 26, 'group_order': 264, 'label': '6C', 'order': 6, 'powers': [5, 4, 12, 12], 'representative': 46, 'size': 2}
  • id: 103682940
    {'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 26, 'group_order': 264, 'label': '11A1', 'order': 11, 'powers': [14, 15, 17, 1], 'representative': 24, 'size': 2}
  • id: 103682941
    {'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 26, 'group_order': 264, 'label': '11A2', 'order': 11, 'powers': [16, 17, 13, 1], 'representative': 48, 'size': 2}
  • id: 103682942
    {'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 26, 'group_order': 264, 'label': '11A3', 'order': 11, 'powers': [17, 14, 16, 1], 'representative': 72, 'size': 2}
  • id: 103682943
    {'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 26, 'group_order': 264, 'label': '11A4', 'order': 11, 'powers': [15, 13, 14, 1], 'representative': 96, 'size': 2}
  • id: 103682944
    {'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 26, 'group_order': 264, 'label': '11A5', 'order': 11, 'powers': [13, 16, 15, 1], 'representative': 120, 'size': 2}
  • id: 103682945
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 26, 'group_order': 264, 'label': '22A1', 'order': 22, 'powers': [13, 19, 20, 2], 'representative': 12, 'size': 2}
  • id: 103682946
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 26, 'group_order': 264, 'label': '22A3', 'order': 22, 'powers': [15, 22, 21, 2], 'representative': 36, 'size': 2}
  • id: 103682948
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 26, 'group_order': 264, 'label': '22A5', 'order': 22, 'powers': [17, 21, 19, 2], 'representative': 60, 'size': 2}
  • id: 103682949
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 26, 'group_order': 264, 'label': '22A7', 'order': 22, 'powers': [16, 18, 22, 2], 'representative': 84, 'size': 2}
  • id: 103682950
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 22, 'group_counter': 26, 'group_order': 264, 'label': '22A9', 'order': 22, 'powers': [14, 20, 18, 2], 'representative': 108, 'size': 2}
  • id: 103682951
    {'aut_label': '22B1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 26, 'group_order': 264, 'label': '22B1', 'order': 22, 'powers': [14, 24, 25, 3], 'representative': 26, 'size': 2}
  • id: 103682952
    {'aut_label': '22B1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 26, 'group_order': 264, 'label': '22B3', 'order': 22, 'powers': [17, 27, 26, 3], 'representative': 74, 'size': 2}
  • id: 103682953
    {'aut_label': '22B1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 26, 'group_order': 264, 'label': '22B5', 'order': 22, 'powers': [13, 26, 24, 3], 'representative': 122, 'size': 2}
  • id: 103682954
    {'aut_label': '22B1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 26, 'group_order': 264, 'label': '22B7', 'order': 22, 'powers': [15, 23, 27, 3], 'representative': 170, 'size': 2}
  • id: 103682955
    {'aut_label': '22B1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 26, 'group_order': 264, 'label': '22B9', 'order': 22, 'powers': [16, 25, 23, 3], 'representative': 218, 'size': 2}
  • id: 103682956
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 26, 'group_order': 264, 'label': '22C1', 'order': 22, 'powers': [13, 29, 30, 4], 'representative': 14, 'size': 2}
  • id: 103682957
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 26, 'group_order': 264, 'label': '22C3', 'order': 22, 'powers': [15, 32, 31, 4], 'representative': 38, 'size': 2}
  • id: 103682959
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 26, 'group_order': 264, 'label': '22C5', 'order': 22, 'powers': [17, 31, 29, 4], 'representative': 62, 'size': 2}
  • id: 103682960
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 26, 'group_order': 264, 'label': '22C7', 'order': 22, 'powers': [16, 28, 32, 4], 'representative': 86, 'size': 2}
  • id: 103682961
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 26, 'group_order': 264, 'label': '22C9', 'order': 22, 'powers': [14, 30, 28, 4], 'representative': 110, 'size': 2}
  • id: 103682962
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 33, 'group_counter': 26, 'group_order': 264, 'label': '33A1', 'order': 33, 'powers': [34, 13, 36, 5], 'representative': 8, 'size': 2}
  • id: 103682963
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 26, 'group_order': 264, 'label': '33A2', 'order': 33, 'powers': [35, 14, 39, 5], 'representative': 16, 'size': 2}
  • id: 103682964
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 26, 'group_order': 264, 'label': '33A4', 'order': 33, 'powers': [38, 16, 40, 5], 'representative': 32, 'size': 2}
  • id: 103682965
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 26, 'group_order': 264, 'label': '33A5', 'order': 33, 'powers': [39, 17, 38, 5], 'representative': 40, 'size': 2}
  • id: 103682966
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 26, 'group_order': 264, 'label': '33A7', 'order': 33, 'powers': [41, 16, 34, 5], 'representative': 56, 'size': 2}
  • id: 103682967
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 26, 'group_order': 264, 'label': '33A8', 'order': 33, 'powers': [42, 15, 37, 5], 'representative': 64, 'size': 2}
  • id: 103682968
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 26, 'group_order': 264, 'label': '33A10', 'order': 33, 'powers': [40, 13, 42, 5], 'representative': 80, 'size': 2}
  • id: 103682970
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 26, 'group_order': 264, 'label': '33A13', 'order': 33, 'powers': [37, 14, 33, 5], 'representative': 104, 'size': 2}
  • id: 103682971
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 26, 'group_order': 264, 'label': '33A14', 'order': 33, 'powers': [36, 15, 35, 5], 'representative': 112, 'size': 2}
  • id: 103682972
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 26, 'group_order': 264, 'label': '33A16', 'order': 33, 'powers': [33, 17, 41, 5], 'representative': 128, 'size': 2}
  • id: 103682973
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 26, 'group_order': 264, 'label': '66A1', 'order': 66, 'powers': [33, 18, 44, 10], 'representative': 4, 'size': 2}
  • id: 103682974
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 26, 'group_order': 264, 'label': '66A5', 'order': 66, 'powers': [36, 20, 50, 10], 'representative': 20, 'size': 2}
  • id: 103682975
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 26, 'group_order': 264, 'label': '66A7', 'order': 66, 'powers': [37, 21, 52, 10], 'representative': 28, 'size': 2}
  • id: 103682976
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 26, 'group_order': 264, 'label': '66A13', 'order': 66, 'powers': [40, 22, 43, 10], 'representative': 52, 'size': 2}
  • id: 103682977
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 26, 'group_order': 264, 'label': '66A17', 'order': 66, 'powers': [42, 20, 48, 10], 'representative': 196, 'size': 2}
  • id: 103682978
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 26, 'group_order': 264, 'label': '66A19', 'order': 66, 'powers': [41, 19, 51, 10], 'representative': 76, 'size': 2}
  • id: 103682979
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 26, 'group_order': 264, 'label': '66A23', 'order': 66, 'powers': [39, 18, 47, 10], 'representative': 172, 'size': 2}
  • id: 103682981
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 26, 'group_order': 264, 'label': '66A25', 'order': 66, 'powers': [38, 19, 45, 10], 'representative': 100, 'size': 2}
  • id: 103682982
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 26, 'group_order': 264, 'label': '66A29', 'order': 66, 'powers': [35, 21, 46, 10], 'representative': 148, 'size': 2}
  • id: 103682983
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 26, 'group_order': 264, 'label': '66A31', 'order': 66, 'powers': [34, 22, 49, 10], 'representative': 124, 'size': 2}
  • id: 103682984
    {'aut_label': '66B1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 26, 'group_order': 264, 'label': '66B1', 'order': 66, 'powers': [34, 23, 54, 11], 'representative': 10, 'size': 2}
  • id: 103682985
    {'aut_label': '66B1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 26, 'group_order': 264, 'label': '66B5', 'order': 66, 'powers': [39, 25, 60, 11], 'representative': 42, 'size': 2}
  • id: 103682986
    {'aut_label': '66B1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 26, 'group_order': 264, 'label': '66B7', 'order': 66, 'powers': [41, 26, 62, 11], 'representative': 58, 'size': 2}
  • id: 103682987
    {'aut_label': '66B1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 26, 'group_order': 264, 'label': '66B13', 'order': 66, 'powers': [37, 27, 53, 11], 'representative': 106, 'size': 2}
  • id: 103682988
    {'aut_label': '66B1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 26, 'group_order': 264, 'label': '66B17', 'order': 66, 'powers': [33, 25, 58, 11], 'representative': 130, 'size': 2}
  • id: 103682989
    {'aut_label': '66B1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 26, 'group_order': 264, 'label': '66B19', 'order': 66, 'powers': [36, 24, 61, 11], 'representative': 114, 'size': 2}
  • id: 103682990
    {'aut_label': '66B1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 26, 'group_order': 264, 'label': '66B23', 'order': 66, 'powers': [40, 23, 57, 11], 'representative': 82, 'size': 2}
  • id: 103682992
    {'aut_label': '66B1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 26, 'group_order': 264, 'label': '66B25', 'order': 66, 'powers': [42, 24, 55, 11], 'representative': 66, 'size': 2}
  • id: 103682993
    {'aut_label': '66B1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 26, 'group_order': 264, 'label': '66B29', 'order': 66, 'powers': [38, 26, 56, 11], 'representative': 34, 'size': 2}
  • id: 103682994
    {'aut_label': '66B1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 26, 'group_order': 264, 'label': '66B31', 'order': 66, 'powers': [35, 27, 59, 11], 'representative': 18, 'size': 2}
  • id: 103682995
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 26, 'group_order': 264, 'label': '66C1', 'order': 66, 'powers': [33, 28, 64, 12], 'representative': 6, 'size': 2}
  • id: 103682996
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 26, 'group_order': 264, 'label': '66C5', 'order': 66, 'powers': [36, 30, 70, 12], 'representative': 22, 'size': 2}
  • id: 103682997
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 26, 'group_order': 264, 'label': '66C7', 'order': 66, 'powers': [37, 31, 72, 12], 'representative': 30, 'size': 2}
  • id: 103682998
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 26, 'group_order': 264, 'label': '66C13', 'order': 66, 'powers': [40, 32, 63, 12], 'representative': 54, 'size': 2}
  • id: 103682999
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 26, 'group_order': 264, 'label': '66C17', 'order': 66, 'powers': [42, 30, 68, 12], 'representative': 198, 'size': 2}
  • id: 103683000
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 26, 'group_order': 264, 'label': '66C19', 'order': 66, 'powers': [41, 29, 71, 12], 'representative': 78, 'size': 2}
  • id: 103683001
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 26, 'group_order': 264, 'label': '66C23', 'order': 66, 'powers': [39, 28, 67, 12], 'representative': 174, 'size': 2}
  • id: 103683003
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 26, 'group_order': 264, 'label': '66C25', 'order': 66, 'powers': [38, 29, 65, 12], 'representative': 102, 'size': 2}
  • id: 103683004
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 26, 'group_order': 264, 'label': '66C29', 'order': 66, 'powers': [35, 31, 66, 12], 'representative': 150, 'size': 2}
  • id: 103683005
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 26, 'group_order': 264, 'label': '66C31', 'order': 66, 'powers': [34, 32, 69, 12], 'representative': 126, 'size': 2}
• gps_qchar •

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

  
  
  • id: 2430853
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 2430863
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 2430864
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 2430865
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 2430866
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2], 'schur_index': 1}
  • id: 2430867
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2], 'schur_index': 1}
  • id: 2430868
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 2430869
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2b', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -1, 0, 0, 0, 0, -1, 1, 1, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 2430870
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2c', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -1, 0, 0, 0, 0, 1, -1, 1, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1], 'schur_index': 2}
  • id: 2430854
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2d', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -1, 0, 0, 0, 0, 1, 1, -1, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1], 'schur_index': 2}
  • id: 2430855
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2e', 'multiplicity': 5, 'nt': [11, 2], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 0, 0, 0, 0, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 2430856
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2f', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, -10, 10, -10, 10, 0, 0, 0, 0, 10, -10, -10, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 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: 2430857
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2g', 'multiplicity': 5, 'nt': [44, 3], 'qdim': 10, 'qvalues': [10, -10, -10, 10, 10, 0, 0, 0, 0, -10, 10, -10, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -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': 2}
  • id: 2430858
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2h', 'multiplicity': 5, 'nt': [44, 3], 'qdim': 10, 'qvalues': [10, 10, -10, -10, 10, 0, 0, 0, 0, -10, -10, 10, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 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': 2}
  • id: 2430859
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2i', 'multiplicity': 10, 'nt': [33, 3], 'qdim': 20, 'qvalues': [20, 20, 20, 20, -10, 0, 0, 0, 0, -10, -10, -10, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 2430860
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2j', 'multiplicity': 10, 'nt': [66, 0], 'qdim': 20, 'qvalues': [20, -20, 20, -20, -10, 0, 0, 0, 0, -10, 10, 10, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 2430861
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2k', 'multiplicity': 10, 'nt': [132, 0], 'qdim': 20, 'qvalues': [20, -20, -20, 20, -10, 0, 0, 0, 0, 10, -10, 10, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1], 'schur_index': 2}
  • id: 2430862
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '264.26', 'group_order': 264, 'image': None, 'label': '264.26.2l', 'multiplicity': 10, 'nt': [132, 0], 'qdim': 20, 'qvalues': [20, 20, -20, -20, -10, 0, 0, 0, 0, 10, 10, -10, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1], 'schur_index': 2}
• gps_char •

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

  
  
  • id: 3089034
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 264, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 264, 'label': '264.26.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 3089045
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 264, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.b1', 'kernel_order': 132, 'label': '264.26.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 3089056
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 264, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 132, 'label': '264.26.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 3089067
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 264, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 132, 'label': '264.26.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 3089078
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 264, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.b1', 'kernel_order': 66, 'label': '264.26.1e1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 3089089
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 264, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.b1', 'kernel_order': 66, 'label': '264.26.1e2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 3089100
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 264, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 66, 'label': '264.26.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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: 3089104
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 264, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 66, 'label': '264.26.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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: 3089105
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 44, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 44, 'label': '264.26.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 3089035
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 44, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 22, 'label': '264.26.2b', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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: 3089036
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 44, 'counter': 11, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '12.1', 'image_order': 12, 'indicator': -1, 'kernel': '12.a1.b1', 'kernel_order': 22, 'label': '264.26.2c', 'nt': [12, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 3089037
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 44, 'counter': 12, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '12.1', 'image_order': 12, 'indicator': -1, 'kernel': '12.a1.a1', 'kernel_order': 22, 'label': '264.26.2d', 'nt': [12, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[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: 3089038
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 13, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 12, 'label': '264.26.2e1', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]]]}
  • id: 3089039
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 14, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 12, 'label': '264.26.2e2', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]]]}
  • id: 3089040
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 15, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 12, 'label': '264.26.2e3', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]]]}
  • id: 3089041
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 16, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 12, 'label': '264.26.2e4', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]]]}
  • id: 3089042
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 17, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 12, 'label': '264.26.2e5', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]]]}
  • id: 3089043
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 18, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 6, 'label': '264.26.2f1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]]]}
  • id: 3089044
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 19, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 6, 'label': '264.26.2f2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]]]}
  • id: 3089046
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 20, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 6, 'label': '264.26.2f3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 3089047
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 21, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 6, 'label': '264.26.2f4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]]]}
  • id: 3089048
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 22, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 6, 'label': '264.26.2f5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]]]}
  • id: 3089049
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 23, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.1', 'image_order': 44, 'indicator': -1, 'kernel': '44.a1.b1', 'kernel_order': 6, 'label': '264.26.2g1', 'nt': [44, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]]]}
  • id: 3089050
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 24, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.1', 'image_order': 44, 'indicator': -1, 'kernel': '44.a1.b1', 'kernel_order': 6, 'label': '264.26.2g2', 'nt': [44, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]]]}
  • id: 3089051
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 25, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.1', 'image_order': 44, 'indicator': -1, 'kernel': '44.a1.b1', 'kernel_order': 6, 'label': '264.26.2g3', 'nt': [44, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 3089052
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 26, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.1', 'image_order': 44, 'indicator': -1, 'kernel': '44.a1.b1', 'kernel_order': 6, 'label': '264.26.2g4', 'nt': [44, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]]]}
  • id: 3089053
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 27, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.1', 'image_order': 44, 'indicator': -1, 'kernel': '44.a1.b1', 'kernel_order': 6, 'label': '264.26.2g5', 'nt': [44, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]]]}
  • id: 3089054
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 28, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.1', 'image_order': 44, 'indicator': -1, 'kernel': '44.a1.a1', 'kernel_order': 6, 'label': '264.26.2h1', 'nt': [44, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]]]}
  • id: 3089055
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 29, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.1', 'image_order': 44, 'indicator': -1, 'kernel': '44.a1.a1', 'kernel_order': 6, 'label': '264.26.2h2', 'nt': [44, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]]]}
  • id: 3089057
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 30, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.1', 'image_order': 44, 'indicator': -1, 'kernel': '44.a1.a1', 'kernel_order': 6, 'label': '264.26.2h3', 'nt': [44, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]]]}
  • id: 3089058
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 31, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.1', 'image_order': 44, 'indicator': -1, 'kernel': '44.a1.a1', 'kernel_order': 6, 'label': '264.26.2h4', 'nt': [44, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]]]}
  • id: 3089059
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 12, 'counter': 32, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '44.1', 'image_order': 44, 'indicator': -1, 'kernel': '44.a1.a1', 'kernel_order': 6, 'label': '264.26.2h5', 'nt': [44, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]]]}
  • id: 3089060
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 33, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '66.3', 'image_order': 66, 'indicator': 1, 'kernel': '66.a1.a1', 'kernel_order': 4, 'label': '264.26.2i1', 'nt': [33, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 5], [1, -5]]]}
  • id: 3089070
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 42, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '66.3', 'image_order': 66, 'indicator': 1, 'kernel': '66.a1.a1', 'kernel_order': 4, 'label': '264.26.2i10', 'nt': [33, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]]]}
  • id: 3089061
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 34, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '66.3', 'image_order': 66, 'indicator': 1, 'kernel': '66.a1.a1', 'kernel_order': 4, 'label': '264.26.2i2', 'nt': [33, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 16], [1, -16]]]}
  • id: 3089062
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 35, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '66.3', 'image_order': 66, 'indicator': 1, 'kernel': '66.a1.a1', 'kernel_order': 4, 'label': '264.26.2i3', 'nt': [33, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 7], [1, -7]]]}
  • id: 3089063
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 36, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '66.3', 'image_order': 66, 'indicator': 1, 'kernel': '66.a1.a1', 'kernel_order': 4, 'label': '264.26.2i4', 'nt': [33, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 4], [1, -4]]]}
  • id: 3089064
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 37, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '66.3', 'image_order': 66, 'indicator': 1, 'kernel': '66.a1.a1', 'kernel_order': 4, 'label': '264.26.2i5', 'nt': [33, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 8], [1, -8]]]}
  • id: 3089065
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 38, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '66.3', 'image_order': 66, 'indicator': 1, 'kernel': '66.a1.a1', 'kernel_order': 4, 'label': '264.26.2i6', 'nt': [33, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 14], [1, -14]]]}
  • id: 3089066
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 39, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '66.3', 'image_order': 66, 'indicator': 1, 'kernel': '66.a1.a1', 'kernel_order': 4, 'label': '264.26.2i7', 'nt': [33, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 13], [1, -13]]]}
  • id: 3089068
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 40, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '66.3', 'image_order': 66, 'indicator': 1, 'kernel': '66.a1.a1', 'kernel_order': 4, 'label': '264.26.2i8', 'nt': [33, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]]]}
  • id: 3089069
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 41, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '66.3', 'image_order': 66, 'indicator': 1, 'kernel': '66.a1.a1', 'kernel_order': 4, 'label': '264.26.2i9', 'nt': [33, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 10], [1, -10]]]}
  • id: 3089071
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 43, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.9', 'image_order': 132, 'indicator': 1, 'kernel': '132.b1.a1', 'kernel_order': 2, 'label': '264.26.2j1', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]]]}
  • id: 3089081
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 52, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.9', 'image_order': 132, 'indicator': 1, 'kernel': '132.b1.a1', 'kernel_order': 2, 'label': '264.26.2j10', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 7], [1, -7]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 3089072
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 44, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.9', 'image_order': 132, 'indicator': 1, 'kernel': '132.b1.a1', 'kernel_order': 2, 'label': '264.26.2j2', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 13], [1, -13]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]]]}
  • id: 3089073
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 45, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.9', 'image_order': 132, 'indicator': 1, 'kernel': '132.b1.a1', 'kernel_order': 2, 'label': '264.26.2j3', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, -14]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 16], [1, -16]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]]]}
  • id: 3089074
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 46, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.9', 'image_order': 132, 'indicator': 1, 'kernel': '132.b1.a1', 'kernel_order': 2, 'label': '264.26.2j4', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]]]}
  • id: 3089075
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 47, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.9', 'image_order': 132, 'indicator': 1, 'kernel': '132.b1.a1', 'kernel_order': 2, 'label': '264.26.2j5', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]]]}
  • id: 3089076
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 48, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.9', 'image_order': 132, 'indicator': 1, 'kernel': '132.b1.a1', 'kernel_order': 2, 'label': '264.26.2j6', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, -14]]]}
  • id: 3089077
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 49, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.9', 'image_order': 132, 'indicator': 1, 'kernel': '132.b1.a1', 'kernel_order': 2, 'label': '264.26.2j7', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]]]}
  • id: 3089079
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 50, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.9', 'image_order': 132, 'indicator': 1, 'kernel': '132.b1.a1', 'kernel_order': 2, 'label': '264.26.2j8', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]]]}
  • id: 3089080
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 51, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.9', 'image_order': 132, 'indicator': 1, 'kernel': '132.b1.a1', 'kernel_order': 2, 'label': '264.26.2j9', 'nt': [66, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 7], [-1, -7]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]]]}
  • id: 3089082
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 53, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.b1', 'kernel_order': 2, 'label': '264.26.2k1', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 13], [1, -13]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[1, 8], [1, -8]], [[-1, 5], [-1, -5]]]}
  • id: 3089092
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 62, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.b1', 'kernel_order': 2, 'label': '264.26.2k10', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 3089083
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 54, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.b1', 'kernel_order': 2, 'label': '264.26.2k2', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]]]}
  • id: 3089084
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 55, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.b1', 'kernel_order': 2, 'label': '264.26.2k3', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 7], [-1, -7]]]}
  • id: 3089085
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 56, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.b1', 'kernel_order': 2, 'label': '264.26.2k4', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[1, 13], [1, -13]], [[-1, 4], [-1, -4]]]}
  • id: 3089086
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 57, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.b1', 'kernel_order': 2, 'label': '264.26.2k5', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 8], [-1, -8]]]}
  • id: 3089087
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 58, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.b1', 'kernel_order': 2, 'label': '264.26.2k6', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[-1, 8], [-1, -8]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 10], [1, -10]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]]]}
  • id: 3089088
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 59, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.b1', 'kernel_order': 2, 'label': '264.26.2k7', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]]]}
  • id: 3089090
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 60, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.b1', 'kernel_order': 2, 'label': '264.26.2k8', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 16], [-1, -16]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 1], [-1, -1]], [[1, 8], [1, -8]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]]]}
  • id: 3089091
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 61, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.b1', 'kernel_order': 2, 'label': '264.26.2k9', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 7], [-1, -7]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]]]}
  • id: 3089093
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 63, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.a1', 'kernel_order': 2, 'label': '264.26.2l1', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 3], [-1, -3]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[1, 5], [1, -5]]]}
  • id: 3089103
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 72, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.a1', 'kernel_order': 2, 'label': '264.26.2l10', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 7], [-1, -7]], [[1, 16], [1, -16]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]]]}
  • id: 3089094
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 64, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.a1', 'kernel_order': 2, 'label': '264.26.2l2', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 13], [-1, -13]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]]]}
  • id: 3089095
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 65, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.a1', 'kernel_order': 2, 'label': '264.26.2l3', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 16], [-1, -16]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 7], [1, -7]]]}
  • id: 3089096
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 66, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.a1', 'kernel_order': 2, 'label': '264.26.2l4', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 7], [1, -7]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[1, 4], [1, -4]]]}
  • id: 3089097
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 67, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.a1', 'kernel_order': 2, 'label': '264.26.2l5', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 15], [-1, -15]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]]]}
  • id: 3089098
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 68, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.a1', 'kernel_order': 2, 'label': '264.26.2l6', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 15], [-1, -15]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]]]}
  • id: 3089099
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 69, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.a1', 'kernel_order': 2, 'label': '264.26.2l7', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 12], [-1, -12]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]]]}
  • id: 3089101
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 70, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.a1', 'kernel_order': 2, 'label': '264.26.2l8', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[1, 1], [1, -1]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]]]}
  • id: 3089102
    {'center': '66.a1.a1', 'center_index': 66, 'center_order': 4, 'counter': 71, 'cyclotomic_n': 33, 'dim': 2, 'faithful': False, 'field': [1, -12, 12, 43, -43, -34, 34, 10, -10, -1, 1], 'group': '264.26', 'group_counter': 26, 'group_order': 264, 'image': None, 'image_isoclass': '132.3', 'image_order': 132, 'indicator': -1, 'kernel': '132.a1.a1', 'kernel_order': 2, 'label': '264.26.2l9', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 7], [-1, -7]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]]]}
• 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: 51597116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 264, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 66, 'label': '264.26.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '264.26', 'subgroup_hash': 26, 'subgroup_order': 264, 'subgroup_tex': 'C_{66}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597127
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 132, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '264.26.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '132.10', 'subgroup_hash': 10, 'subgroup_order': 132, 'subgroup_tex': 'C_2\\times C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 51597138
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 132, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '264.26.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '132.3', 'subgroup_hash': 3, 'subgroup_order': 132, 'subgroup_tex': 'C_{33}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597142
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 132, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '264.26.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '132.3', 'subgroup_hash': 3, 'subgroup_order': 132, 'subgroup_tex': 'C_{33}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597143
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 22, 'label': '264.26.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597144
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': False, 'core_order': 66, 'counter': 6, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '264.26.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 51597145
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': False, 'core_order': 66, 'counter': 7, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '264.26.4.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 51597146
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 66, 'counter': 8, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '264.26.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 51597147
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 44, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '264.26.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 51597117
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 22, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '264.26.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597118
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 22, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '264.26.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597119
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 33, 'counter': 12, 'cyclic': True, 'direct': False, 'hall': 33, 'label': '264.26.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 51597120
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '264.26.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597121
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': False, 'core_order': 22, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '264.26.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 51597122
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': False, 'core_order': 22, 'counter': 15, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '264.26.12.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 51597123
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 22, 'counter': 16, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '264.26.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 51597124
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 12, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '264.26.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '22.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '22.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 22, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 51597125
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '264.26.22.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597126
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '264.26.22.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597128
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 11, 'counter': 20, 'cyclic': True, 'direct': False, 'hall': 11, 'label': '264.26.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:C_4', 'simple': True, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 51597129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '264.26.33.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '33.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 33, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 2}
  • id: 51597130
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': False, 'core_order': 6, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '264.26.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '44.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_4', '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: 51597131
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': False, 'core_order': 6, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '264.26.44.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '44.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_4', '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: 51597132
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 6, 'counter': 24, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '264.26.44.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '44.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}', '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: 51597133
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': True, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 4, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '264.26.66.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '66.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '66.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 66, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{33}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 51597134
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 26, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '264.26.66.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597135
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 27, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '264.26.66.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51597136
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': False, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 3, 'counter': 28, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '264.26.88.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '88.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '88.6', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}:C_4', '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': 3}
  • id: 51597137
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': True, 'central_factor': False, 'centralizer_order': 264, 'characteristic': False, 'core_order': 2, 'counter': 29, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '264.26.132.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '132.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '132.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 132, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}:C_4', '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': 0}
  • id: 51597139
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': True, 'central_factor': False, 'centralizer_order': 264, 'characteristic': False, 'core_order': 2, 'counter': 30, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '264.26.132.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '132.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '132.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 132, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}:C_4', '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': 0}
  • id: 51597140
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': True, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 2, 'counter': 31, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '264.26.132.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '132.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '132.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 132, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{66}', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 51597141
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '264.26', 'ambient_counter': 26, 'ambient_order': 264, 'ambient_tex': 'C_{66}:C_4', 'central': True, 'central_factor': False, 'centralizer_order': 264, 'characteristic': True, 'core_order': 1, 'counter': 32, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '264.26.264.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '264.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '264.26', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 264, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{66}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C5'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 51597116
    {'ambient': '264.26', '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': '66.a1.a1', 'complements': ['264.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '3.a1.a1', '11.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7075, 3408, 7305, 6266, 5559, 2869, 5566, 3940], 'generators': [1, 2, 176, 132, 24], 'label': '264.26.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '66.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '66.3'}
  • id: 51597117
    {'ambient': '264.26', 'aut_centralizer_order': 4, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '220.7', 'aut_weyl_index': 24, 'centralizer': '66.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '66.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6543, -1, 8123, -1, 6539, -1, 5566, -1], 'generators': [1, 24, 2], 'label': '264.26.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '132.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 51597118
    {'ambient': '264.26', 'aut_centralizer_order': 4, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '220.7', 'aut_weyl_index': 24, 'centralizer': '66.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.a1.a1'], 'contains': ['12.b1.a1', '66.b1.b1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6543, -1, 6891, -1, 6539, -1, 6642, -1], 'generators': [245, 24, 2], 'label': '264.26.6.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.b1', 'projective_image': '132.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 51597119
    {'ambient': '264.26', 'aut_centralizer_order': 264, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 264, 'centralizer': '2.a1.a1', 'complements': ['33.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1'], 'contains': ['24.a1.a1', '88.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [466, 1677, 1223, 3373, 682, 707, 1285, 6029], 'generators': [176, 24], 'label': '264.26.8.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.b1', '4.a1.a1', '4.b1.a1'], 'normal_contains': ['24.a1.a1', '88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '264.26', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597120
    {'ambient': '264.26', 'aut_centralizer_order': 10, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '48.38', 'aut_weyl_index': 110, 'centralizer': '66.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.a1.a1', '22.b1.a1', '22.b1.b1', '33.a1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9534, -1, 9720, -1, 8772, -1, 8280, -1], 'generators': [1, 132, 2, 176], 'label': '264.26.11.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '66.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 51597121
    {'ambient': '264.26', 'aut_centralizer_order': 264, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '10.2', 'aut_weyl_index': 528, 'centralizer': '2.a1.a1', 'complements': ['22.b1.a1', '22.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '132.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1476, 9246, 704, 5223, 1774, 5717, 2081, 3339], 'generators': [132, 24], 'label': '264.26.12.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '132.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597122
    {'ambient': '264.26', 'aut_centralizer_order': 264, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '10.2', 'aut_weyl_index': 528, 'centralizer': '2.a1.a1', 'complements': ['22.b1.a1', '22.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '6.a1.a1'], 'contains': ['24.a1.a1', '132.a1.b1'], 'core': '12.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1476, 9246, 2538, 8030, 1774, 5717, 489, 1946], 'generators': [134, 24], 'label': '264.26.12.a1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': ['4.a1.b1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '132.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.b1', 'projective_image': '132.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597123
    {'ambient': '264.26', 'aut_centralizer_order': 528, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 528, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1'], 'contains': ['24.a1.a1', '132.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3656, 6788, 5544, 9538, 3759, 2485, 4181, 554], 'generators': [2, 24], 'label': '264.26.12.b1.a1', 'mobius_quo': 1, 'mobius_sub': -6, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '132.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '132.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597124
    {'ambient': '264.26', 'aut_centralizer_order': 1320, 'aut_label': '22.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1320, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.a1.b1', '44.b1.a1', '66.a1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4322, 3352, 3596, 2363, 4951, 8808, 4407, 8497], 'generators': [2, 132, 176], 'label': '264.26.22.a1.a1', 'mobius_quo': -2, 'mobius_sub': 11, 'normal_closure': '22.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['44.a1.b1', '44.a1.a1', '44.b1.a1', '66.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '66.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597125
    {'ambient': '264.26', 'aut_centralizer_order': 20, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '12.4', 'aut_weyl_index': 440, 'centralizer': '66.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '11.a1.a1'], 'contains': ['44.b1.a1', '66.b1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8577, -1, 8631, -1, 7854, -1, 7602, -1], 'generators': [1, 2, 176], 'label': '264.26.22.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.b1.a1', 'projective_image': '132.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 51597126
    {'ambient': '264.26', 'aut_centralizer_order': 20, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '12.4', 'aut_weyl_index': 440, 'centralizer': '66.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '11.a1.a1'], 'contains': ['44.b1.a1', '66.b1.b1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8577, -1, 6218, -1, 7854, -1, 9665, -1], 'generators': [245, 2, 176], 'label': '264.26.22.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.b1.b1', 'projective_image': '132.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 51597127
    {'ambient': '264.26', 'aut_centralizer_order': 132, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '40.14', 'aut_weyl_index': 132, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '6.a1.a1', '22.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3577, 5364, 3554, 3853, 2841, 4303, 2561, 6171], 'generators': [2, 176, 24, 132], 'label': '264.26.2.a1.a1', 'mobius_quo': 2, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.b1', '4.a1.a1', '4.b1.a1', '6.a1.a1', '22.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '66.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597128
    {'ambient': '264.26', 'aut_centralizer_order': 528, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 528, 'centralizer': '2.a1.a1', 'complements': ['11.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.a1.b1', '12.b1.a1'], 'contains': ['264.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [811, 8129, 1087, 8322, 1774, 2485, 2081, 2437], 'generators': [24], 'label': '264.26.24.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.b1', '12.a1.a1', '12.b1.a1'], 'normal_contains': ['264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '264.26', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597129
    {'ambient': '264.26', 'aut_centralizer_order': 20, 'aut_label': '33.a1', 'aut_quo_index': None, 'aut_stab_index': 33, 'aut_weyl_group': '8.3', 'aut_weyl_index': 660, 'centralizer': '33.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.a1'], 'contains': ['66.a1.a1', '66.b1.a1', '66.b1.b1'], 'core': '66.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [7513, -1, 9087, -1, 9268, -1, 8634, -1], 'generators': [1, 132], 'label': '264.26.33.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '33.a1.a1', 'projective_image': '66.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51597130
    {'ambient': '264.26', 'aut_centralizer_order': 1320, 'aut_label': '44.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 2640, 'centralizer': '2.a1.a1', 'complements': ['6.b1.a1', '6.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.a1.a1'], 'contains': ['88.a1.a1', '132.a1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1290, 3352, 353, 736, 2767, 7333, 3457, 9573], 'generators': [132, 176], 'label': '264.26.44.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': ['4.a1.a1', '22.a1.a1'], 'normal_contains': ['88.a1.a1', '132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.a1.a1', 'projective_image': '132.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597131
    {'ambient': '264.26', 'aut_centralizer_order': 1320, 'aut_label': '44.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 2640, 'centralizer': '2.a1.a1', 'complements': ['6.b1.a1', '6.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '22.a1.a1'], 'contains': ['88.a1.a1', '132.a1.b1'], 'core': '44.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1290, 3352, 1741, 1969, 2767, 7333, 2805, 8434], 'generators': [134, 176], 'label': '264.26.44.a1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '44.a1.b1', 'normal_contained_in': ['4.a1.b1', '22.a1.a1'], 'normal_contains': ['88.a1.a1', '132.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '44.a1.b1', 'projective_image': '132.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '44.a1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597132
    {'ambient': '264.26', 'aut_centralizer_order': 2640, 'aut_label': '44.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 2640, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '22.a1.a1', '22.b1.a1', '22.b1.b1'], 'contains': ['88.a1.a1', '132.b1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3963, 838, 4953, 3853, 4752, 4101, 5647, 7294], 'generators': [2, 176], 'label': '264.26.44.b1.a1', 'mobius_quo': 1, 'mobius_sub': -22, 'normal_closure': '44.b1.a1', 'normal_contained_in': ['4.b1.a1', '22.a1.a1'], 'normal_contains': ['88.a1.a1', '132.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.b1.a1', 'projective_image': '132.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '44.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597133
    {'ambient': '264.26', 'aut_centralizer_order': 2640, 'aut_label': '66.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 2640, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '22.a1.a1', '33.a1.a1'], 'contains': ['132.a1.a1', '132.a1.b1', '132.b1.a1'], 'core': '66.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4973, 7151, 3979, 4949, 5707, 8889, 4950, 4684], 'generators': [2, 132], 'label': '264.26.66.a1.a1', 'mobius_quo': 2, 'mobius_sub': -33, 'normal_closure': '66.a1.a1', 'normal_contained_in': ['6.a1.a1', '22.a1.a1'], 'normal_contains': ['132.a1.b1', '132.a1.a1', '132.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '66.a1.a1', 'projective_image': '66.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '66.3', 'quotient_action_kernel_order': 66, 'quotient_fusion': None, 'short_label': '66.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51597134
    {'ambient': '264.26', 'aut_centralizer_order': 40, 'aut_label': '66.b1', 'aut_quo_index': None, 'aut_stab_index': 66, 'aut_weyl_group': '2.1', 'aut_weyl_index': 2640, 'centralizer': '33.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '22.b1.a1', '33.a1.a1'], 'contains': ['132.b1.a1'], 'core': '132.b1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [6902, -1, 7989, -1, 6725, -1, 7032, -1], 'generators': [1], 'label': '264.26.66.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '66.b1.a1', 'projective_image': '132.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51597135
    {'ambient': '264.26', 'aut_centralizer_order': 40, 'aut_label': '66.b1', 'aut_quo_index': None, 'aut_stab_index': 66, 'aut_weyl_group': '2.1', 'aut_weyl_index': 2640, 'centralizer': '33.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '22.b1.b1', '33.a1.a1'], 'contains': ['132.b1.a1'], 'core': '132.b1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [6902, -1, 6435, -1, 6725, -1, 8245, -1], 'generators': [245], 'label': '264.26.66.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '66.b1.b1', 'projective_image': '132.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51597136
    {'ambient': '264.26', 'aut_centralizer_order': 2640, 'aut_label': '88.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 2640, 'centralizer': '2.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.a1.a1', '44.a1.b1', '44.b1.a1'], 'contains': ['264.a1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [918, 754, 1067, 462, 2767, 4101, 3457, 7294], 'generators': [176], 'label': '264.26.88.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '88.a1.a1', 'normal_contained_in': ['8.a1.a1', '44.a1.b1', '44.a1.a1', '44.b1.a1'], 'normal_contains': ['264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.a1.a1', 'projective_image': '264.26', 'quotient_action_image': '2.1', 'quotient_action_kernel': '44.4', 'quotient_action_kernel_order': 44, 'quotient_fusion': None, 'short_label': '88.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597137
    {'ambient': '264.26', 'aut_centralizer_order': 2640, 'aut_label': '132.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 5280, 'centralizer': '1.a1.a1', 'complements': ['2.b1.a1', '2.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '44.a1.a1', '66.a1.a1'], 'contains': ['264.a1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2035, 7571, 280, 3082, 3660, 7172, 4109, 5981], 'generators': [132], 'label': '264.26.132.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '132.a1.a1', 'normal_contained_in': ['12.a1.a1', '44.a1.a1', '66.a1.a1'], 'normal_contains': ['264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '132.a1.a1', 'projective_image': '132.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '132.3', 'quotient_action_kernel_order': 132, 'quotient_fusion': None, 'short_label': '132.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51597138
    {'ambient': '264.26', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1320.142', 'aut_weyl_index': 4, 'centralizer': '66.a1.a1', 'complements': ['132.a1.a1', '132.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '6.b1.a1', '22.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7593, 1425, 7305, 8304, 4591, 1455, 4145, 3940], 'generators': [1, 176, 24, 2], 'label': '264.26.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '132.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '66.3'}
  • id: 51597139
    {'ambient': '264.26', 'aut_centralizer_order': 2640, 'aut_label': '132.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 5280, 'centralizer': '1.a1.a1', 'complements': ['2.b1.a1', '2.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.b1', '44.a1.b1', '66.a1.a1'], 'contains': ['264.a1.a1'], 'core': '132.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2035, 7571, 2135, 4675, 3660, 7172, 2805, 4842], 'generators': [134], 'label': '264.26.132.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '132.a1.b1', 'normal_contained_in': ['12.a1.b1', '44.a1.b1', '66.a1.a1'], 'normal_contains': ['264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '132.a1.b1', 'projective_image': '132.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '132.3', 'quotient_action_kernel_order': 132, 'quotient_fusion': None, 'short_label': '132.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51597140
    {'ambient': '264.26', 'aut_centralizer_order': 5280, 'aut_label': '132.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 5280, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '44.b1.a1', '66.a1.a1', '66.b1.a1', '66.b1.b1'], 'contains': ['264.a1.a1'], 'core': '132.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3963, 5504, 5336, 5941, 4752, 5555, 5294, 3703], 'generators': [2], 'label': '264.26.132.b1.a1', 'mobius_quo': -1, 'mobius_sub': 66, 'normal_closure': '132.b1.a1', 'normal_contained_in': ['12.b1.a1', '44.b1.a1', '66.a1.a1'], 'normal_contains': ['264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '132.b1.a1', 'projective_image': '132.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '132.9', 'quotient_action_kernel_order': 132, 'quotient_fusion': None, 'short_label': '132.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51597141
    {'ambient': '264.26', 'aut_centralizer_order': None, 'aut_label': '264.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '88.a1.a1', '132.a1.a1', '132.a1.b1', '132.b1.a1'], 'contains': [], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1543, 6566, 1067, 4675, 3214, 4828, 3457, 4842], 'generators': [], 'label': '264.26.264.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '264.a1.a1', 'normal_contained_in': ['24.a1.a1', '88.a1.a1', '132.a1.b1', '132.a1.a1', '132.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '264.a1.a1', 'projective_image': '264.26', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51597142
    {'ambient': '264.26', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1320.142', 'aut_weyl_index': 4, 'centralizer': '66.a1.a1', 'complements': ['132.a1.a1', '132.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '6.b1.b1', '22.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7593, 1425, 6072, 6266, 4591, 1455, 6986, 2057], 'generators': [245, 176, 24, 2], 'label': '264.26.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '132.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '66.3'}
  • id: 51597143
    {'ambient': '264.26', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '880.118', 'aut_weyl_index': 6, 'centralizer': '66.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.b1.b1', '33.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6130, -1, 8134, -1, 6539, -1, 5566, -1], 'generators': [1, 2, 24, 132], 'label': '264.26.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '66.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 51597144
    {'ambient': '264.26', 'aut_centralizer_order': 132, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '20.5', 'aut_weyl_index': 264, 'centralizer': '2.a1.a1', 'complements': ['66.b1.a1', '66.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '12.a1.a1', '44.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1037, 4331, 643, 2603, 434, 3232, 1113, 6725], 'generators': [132, 24, 176], 'label': '264.26.4.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.a1.a1', '44.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '132.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597145
    {'ambient': '264.26', 'aut_centralizer_order': 132, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '20.5', 'aut_weyl_index': 264, 'centralizer': '2.a1.a1', 'complements': ['66.b1.a1', '66.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '12.a1.b1', '44.a1.b1'], 'core': '4.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1037, 4331, 2217, 4109, 434, 3232, 317, 5332], 'generators': [134, 24, 176], 'label': '264.26.4.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.a1.b1', '44.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.b1', 'projective_image': '132.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597146
    {'ambient': '264.26', 'aut_centralizer_order': 264, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 264, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.a1.a1', '12.b1.a1', '44.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3656, 1425, 5284, 6266, 1526, 1455, 3394, 3940], 'generators': [2, 24, 176], 'label': '264.26.4.b1.a1', 'mobius_quo': -1, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normal_contains': ['8.a1.a1', '12.b1.a1', '44.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '132.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51597147
    {'ambient': '264.26', 'aut_centralizer_order': 264, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 264, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.a1.b1', '12.b1.a1', '66.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4668, 9108, 4238, 7808, 3089, 5778, 2253, 1946], 'generators': [2, 24, 132], 'label': '264.26.6.a1.a1', 'mobius_quo': -2, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['12.a1.b1', '12.a1.a1', '12.b1.a1', '66.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '66.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}